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Paul needed to buy some new clothes for work. He had a 10% off coupon that he could use on his entire purchase after any other discounts. Paul bought 4 dress shirts at $15.00 apiece, 2 pairs of pants that each cost $40.00. He found a suit for $150.00 and 2 sweaters for $30.00 each. When he got to the register, the clerk told him that the store was offering 20% off of everything in the store. After the discounts and the coupon, how much did Paul spend on his new clothes? Let's answer step by step:
4 dress shirts cost $15.00 each so 4 * 15 = $60.00. 2 pants at $40.00 cost 2 * 40 = $80.00. 2 sweaters at $30.00 cost 2 * 30 = $60.00. Add the suit at $150 and the other items the total was 150 + 60 + 80 + 60 = $350. The store has having a 20% off sale so .20 * 350 = $70.00 discount. His new total would be 350 - 70 = $280.00. Then add his 10% discount, .10 * 280 = $28.00 additional off. His final total came out to 280 - 28 = $252.00. The answer: 252.
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Question: A herring has 40 oz of fat, an eel 20 oz, and a pike 10 more oz of fat than an eel. If Ellianna cooked and served 40 fish of each type, calculate how many ounces of fat she served. Think carefully first, then make a decision:
Ellianna cooking 40 herrings with 40 oz of fat each gives her 40 * 40 = 1600 oz of fat. If Ellianna also cooked 40 eels with 20 oz of fat each, she got 40 * 20 = 800 0z of fat. All the herrings and eels together have a total fat content of 1600 + 800 = 2400 oz of fat. A pike, with 10 more oz of fat than an eel, has 10 + 20 = 30 oz of fat. Cooking 40 pikes gives 40 * 30 = 1200 oz of fat. Since Ellianna cooked all the fish, she had 1200 + 2400 = 3600 oz of fat in her serving. So the answer is 3600.
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Question: Heather made four times as many pizzas as Craig made on their first day at work at Mr. Pizza Inns. On their second day, Heather made 20 fewer pizzas than Craig's number. If Craig made 40 pizzas on their first day and 60 more pizzas on their second day than their first day, calculate the total number of pizzas the two made together in the two days. Think carefully first, then make a decision:
Craig made 40 pizzas on their first day at work, while heather made four times that number, a total of 4 * 40 = 160 pizzas. Together, they made 160 + 40 = 200 pizzas on their first day. On the second day, Craig made 60 more pizzas than his first day at work, which totals 60 + 40 = 100 pizzas. On the same day, Heather made 20 fewer pizzas than Craig, a total of 100 - 20 = 80 pizzas. Together, they made 80 + 100 = 180 pizzas on the second day. In the two days, the two of them made a total of 180 + 200 = 380 pizzas. So the answer is 380.
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Jill likes to do small jobs online. She makes $10 a day for her first month working online, and double that per day in her second month. Her third month she makes the same amount per day as the previous month, but only works every other day. How much did she make over three months, assuming each month is 30 days long? Give me reasons, before answering the question
Since there are 30 days in a month and Jill makes $10 a day her first month, she makes 30 * 10 = 300 dollars her first month. She makes twice the amount of the previous month's $300 in her second month, so she makes 2 * 300 = 600 dollars her second month. She makes the same amount per day the third month, but only works half the number of days, so she makes 600 / 2 = 300 dollars a month her third month. In total, she makes 300 + 300 + 600 = 1,200 dollars. So the final answer is 1200.
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Sherman has a 30-minute commute to the office and a 30-minute commute home every day. On the weekends, he spends 2 hours, each day, driving his kids to their different activities. How many hours does Sherman drive a week? Give me reasons, before answering the question
He drives 30 minutes to work and 30 minutes home every day for a total of 30 + 30 = 60 minutes. He makes this drive 5 days a week for a total of 5 * 60 = 300 minutes. There are 60 minutes in 1 hour and he drives 300 minutes, 5 days a week so that's 300 / 60 = 5 hours. He drives 2 hours on both Saturday and Sunday so he drives 2 * 2 = 4 hours on the weekends. He commutes 5 hours during the week and spends 4 hours driving on the weekend for a total of 5 + 4 = 9 hours. So the final answer is 9.
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There are 20 cars lined up at a race. Each of the cars have 2 passengers and a driver, then when the cars go past the race’s halfway point, each car gains another passenger. The cars then continue racing, and the race finishes once every single car has passed the finish line. People who get into the cars have to stay inside of them until the race is finished. How many people are in the cars by the end of the race? Give me reasons, before answering the question
There are 2 passengers and a driver in each car, which means that in each car there are 2 passengers + 1 driver = 3 people. This means there are a total of 20 cars * 3 people per car = 60 people in the car at the start of the race. At the halfway point, there is an additional 20 cars * 1 additional passenger = 20 more people. So be the end of the race, there are 60 people at the start of the race + 20 additional people = 80 people in the cars. So the final answer is 80.
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Linda is painting her bedroom. Her bedroom has 4 walls, with the room being 20 feet wide by 20 feet long by 8 feet tall. One wall has a 3-foot by 7-foot doorway. A second wall has a 6-foot by 4-foot window. A third wall has a 5-foot by 7-foot doorway to a walk-in-closet. And the fourth wall is completely solid. What is the total area of wall space that Linda will have to paint? Let's be accurate as possible.
The solid wall is 8 ft. * 20 ft. = 160 sq. ft. The doorway is 3 ft. * 7 ft. = 21 sq. ft. The window is 6 ft. * 4 ft. = 24 sq. ft. The closet door is 5 ft. * 7 ft. = 35 sq. ft. The total area of the doors and windows is 21 sq. ft + 24 sq. ft. + 35 sq. ft. = 80 sq. ft. The solid wall is 160 sq. ft., so before the areas of the doors and window are taken into account, the total wall area is 4 * 160 sq. ft. = 640 sq. ft. Taking into account the doors and window, the total wall area Linda will have to paint is 640 sq. ft. - 80 sq. ft. = 560 sq. ft. The answer: 560.
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The tallest building in the world is 100 feet tall. If the second tallest is half that tall, and the third tallest is half as tall as the second, and the fourth is one-fifth as tall as the third, how tall are all 4 buildings put together? Give me reasons, before answering the question
If the second tallest building is half as tall as the first one's height of 100 feet, it is 100 / 2 = 50 feet tall. If the third tallest building is half as tall as the second one's height of 50 feet, it is 50 / 2 = 25 feet tall. If the fourth building is one - fifth as tall as the third one, it is 25 / 5 = 5 feet tall. Therefore, all four buildings put together would be 100 + 50 + 25 + 5 = 180 feet tall. So the final answer is 180.
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If the price of a bag of cherries is $5 when the price of a bag of olives is $7, how much would Jordyn pay for buying 50 bags of each fruit and a 10% discount? Let's answer step by step:
At a 10 percent discount, Jordyn will pay 10 / 100% * $5 = $.50 less for a bag of cherries. To buy one of the cherries at a 10% discount Jordyn will pay $5 - $0.50 = $4.50. The cost of buying 50 bags of cherries at the 10% discount is 50 * 4.50 = $225. Also, at a 10% discount, Jordyn will pay 10 / 100 * $7 = $0.70 less for a bag of olives. The price of a bag of olives at a 10% discount is $7 - $0.70 = $6.3. To buy 50 bags of olives Jordyn will pay $6.3 * 50 = $315. The total cost of buying 50 bags of each fruit at a 10% discount is $315 + $225 = $540. The answer: 540.
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Lizzy: This weekend's football game matched the Seattle Seahawks with the Denver Broncos. The final score was 37-23, with the Seattle Seahawks taking the win. If a touchdown is worth 7 points and a field goal is worth 3 points, how many touchdowns did the Seattle Seahawks score if they scored 3 field goals during the game?. Me: Hmmm, let me think. I think this is the detailed solution:
The Seattle Seahawks scored 3 field goals during the length of the game and each field goal is worth 3 points, so 3 * 3 = 9 points were made by the Seattle Seahawks from field goals. The Seattle Seahawks won so their total points would be 37 with 9 of those points accrued through the scoring of field goals, which makes 37 - 9 = 28 points left to be scored by touchdowns. There are 28 points scored by touchdowns and each touchdown is worth 7 points, so this means that 28 / 7 = 4 touchdowns were scored by the Seattle Seahawks throughout the game. Final answer: 4.
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I got a question for you: An eternity ring, also known as an infinity ring, is a lady's ring, worn on the hand, comprising a band of precious metal (usually gold) set with a continuous line of identically cut gemstones (usually diamonds) to symbolize never-ending love, usually given by a husband to his wife on the occasion of a significant anniversary, typically after 10 years of marriage date Because the presence of stones all the way round the eternity ring can make it cumbersome to wear, the alternative is to have the stones across the face of the ring only. This is sometimes referred to as a "half-eternity" ring rather than a "full" eternity ring. Answer this question: when does a husband buy an eternity ring? Let's think first:
The relevant information is: An eternity ring, also known as an infinity ring, is a lady's ring, worn on the hand, comprising a band of precious metal (usually gold) set with a continuous line of identically cut gemstones (usually diamonds) to symbolize never-ending love, usually given by a husband to his wife on the occasion of a significant anniversary, typically after 10 years of marriage date Because the presence of stones all the way round the eternity ring can make it cumbersome to wear, the alternative is to have the stones across the face of the ring only. Therefore, the answer is on the occasion of a significant anniversary , typically after 10 years of marriage date.
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Question: Drew is 5 years older than Maya. Peter is 4 years older than Drew. John is 30 and is twice as old as Maya. In 2 years, Jacob will be exactly half of Peter’s age. How old is Jacob now? Think carefully first, then make a decision:
If John is 30 and twice as old as Maya then Maya is 30 / 2 = 15 years old. Drew is 5 years older than Maya so Drew is 15 + 5 = 20 years old. Peter is 4 years older than Drew so is 20 + 4 = 24 years old. In 2 years, Peter will be 24 + 2 = 26 years old. Half of Peter’s age in 2 years will be 26 / 2 = 13 years old and Jacob’s age in 2 years. Jacob now is 13 - 2 = 11 years old. So the answer is 11.
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Kate loves painting. She decided to go to an Art-museum in her city. The entrance fee is $5. Kate loved the visit so much, that she decided to go there once a month. After 1 year, the ticket price increased to $7 and Kate decided she is going to visit the museum only 4 times a year. How much did Kate pay for all visits to the Art-museum after 3 years of visiting? Think carefully first, then make a decision:
One year is 12 months, so during the first year, Kate spent $5 / month * 12 months / year = $60 / year on the tickets. After that, she went to the museum for 3 years - 1 year = 2 more years. During this time, she visited the museum 2 years * 4 visits / year = 8 visits. She had to pay the higher price of $7, so she spent $7 / visit * 8 visits = $56 in two last years. In total Kate paid $56 + $60 = $116 during 3 years. So, the answer is 116.
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Question: Carolyn buys a silverware set with 6 knives, 12 forks, and three times as many spoons as knives. Then her friend trades her 10 knives for 6 spoons. What percentage of Carolyn's silverware is knives? Think carefully first, then make a decision:
First find the final number of knives Carolyn has: 10 knives + 6 knives = 16 knives. Then find the initial number of spoons Carolyn has: 6 knives * 3 spoons / knife = 18 spoons. Then find the final number of spoons Carolyn has: 18 spoons - 6 spoons = 12 spoons. Then find the total final amount of silverware Carolyn has: 12 spoons + 16 knives + 12 forks = 40 pieces. Then divide the number of knives by the total number of pieces and multiply by 100% to express the answer as a percentage: 16 knives / 40 pieces * 100% = 40%. So the answer is 40.
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Q: Context: The Alps (/ ⁇ lps /; French: Alpes ( alp); German: Alpen ( ⁇ alpn ⁇ ); Italian: Alpi ( ⁇ alpi); Romansh: Alps; Slovene: Alpe ( ⁇ Γ‘ ⁇ lp ⁇ ) ) are the highest and most extensive mountain range system that lies entirely in Europe, stretching approximately 1,200 kilometres (750 mi) across eight Alpine countries (from west to east): France, Switzerland, Italy, Monaco, Liechtenstein, Austria, Germany, and Slovenia. The mountains were formed over tens of millions of years as the African and Eurasian tectonic plates collided. Extreme shortening caused by the event resulted in marine sedimentary rocks rising by thrusting and folding into high mountain peaks such as Mont Blanc and the Matterhorn. Mont Blanc spans the French -- Italian border, and at 4,810 m (15,781 ft) is the highest mountain in the Alps. The Alpine region area contains about a hundred peaks higher than 4000 metres (just over 13,000 feet). Question: where are the alps on the world map? Let's give stream of consciousness first:
The relevant information to answer the above question is: The Alps (/ ⁇ lps /; French: Alpes ( alp); German: Alpen ( ⁇ alpn ⁇ ); Italian: Alpi ( ⁇ alpi); Romansh: Alps; Slovene: Alpe ( ⁇ Γ‘ ⁇ lp ⁇ ) ) are the highest and most extensive mountain range system that lies entirely in Europe, stretching approximately 1,200 kilometres (750 mi) across eight Alpine countries (from west to east): France, Switzerland, Italy, Monaco, Liechtenstein, Austria, Germany, and Slovenia. Therefore, the final answer is in Europe , stretching approximately 1,200 kilometres ( 750 mi ) across eight Alpine countries ( from west to east ) : France , Switzerland , Italy , Monaco , Liechtenstein , Austria , Germany , and Slovenia.
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Lizzy: Helen cuts her lawn starting in March and finishes in October. Her lawn mower uses 2 gallons of gas every 4th time she cuts her lawn. For March, April, September and October, she only cuts her law 2 times per month. In May, June, July and August, she has to cut her lawn 4 times per month. How many gallons of gas will she need to cut her lawn from March through October?. Me: Hmmm, let me think. I think this is the detailed solution:
For March, April, September and October, she cuts her lawn 2 a month. There are 4 months so she cuts her yard 2 * 4 = 8 times. For May, June, July and August, she cuts her lawn 4 times a month. There are 4 months so she cuts her yard 4 * 4 = 16 times. During the entire 8 month period, she cuts her lawn 8 + 16 = 24 times. Every 4th time she cuts, she needs 2 gallons of gas. If she cuts her lawn 24 times a year then she needs to fill up 24 / 4 = 6 times. Each time she fills up, it takes 2 gallons of gas so 2 * 6 = 12 gallons of gas per year. Final answer: 12.
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Give a stream of consciousness and then the final answer. Child actresses Jessica Azenberg, Janelle and Tamara DeMent, Alex and Brittany Smith, and Eliza Clark played the role since the character's introduction in 1986 till actress Erin Torpey played the role of adolescent to young adult Jessica continuously from November 5, 1990, revising her birth year to 1978. In October 2002, Torpey announced her decision to end her 12-year run as Jessica in order to explore the other areas of her life. Torpey's last screen appearance was January 15, 2003. Bree Williamson assumed the role on February 5, 2003 and remained with the series until the series' finale on January 13, 2012. Answer this question: who played jessica buchanan on one life to live?
The important part for answering this question is: Child actresses Jessica Azenberg, Janelle and Tamara DeMent, Alex and Brittany Smith, and Eliza Clark played the role since the character's introduction in 1986 till actress Erin Torpey played the role of adolescent to young adult Jessica continuously from November 5, 1990, revising her birth year to 1978. So, the final answer is Jessica Azenberg , Janelle and Tamara DeMent , Alex and Brittany Smith , and Eliza Clark played the role since the character 's introduction in 1986 till actress Erin Torpey played the role of adolescent to young adult Jessica continuously.
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They say the first year of a dog's life equals 15 human years. The second year of a dog's life equals 9 human years and after that, every year of a dog's life equals 5 human years. According to this logic, how many human years has my 10-year-old dog lived? Thoughts? Step-by-step reasoning:
If your dog is 10 years old then in his first year of life he lived 1 * 15 = 15 human years. In his second year of life, he lived 1 * 9 = 9 human years. We need to calculate his remaining years or 10 - 2 = 8 years of dog life into human years. If 1 year of dog life after the 2 years equates to 5 human years, then 8 years of dog life equals 8 * 5 = 40 human years. In total, your dog has lived 15 + 9 + 40 = 64 human years. Thus, the answer is 64.
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Betty is growing parsnips in her vegetable garden. When the parsnips are grown, they are harvested and bundled into boxes that can hold up to 20 parsnips each. Each harvest, three-quarters of the boxes are full, and the remaining boxes are half-full. She gets an average of 20 boxes each harvest. How many parsnips does Betty grow in an average harvest? Let's be accurate as possible.
If three - quarters of the boxes are full, then 1 – 3 ⁇ 4 = 1 ⁇ 4 of the boxes are half - full. On average, each harvest therefore has 20 boxes * 0.25 = 5 boxes that are half - full. This leaves 20 total boxes – 5 half - full boxes = 15 full boxes. Half - full boxes hold 20 parsnips / 2 = 10 parsnips each. In total, the half - full boxes, therefore, hold 5 boxes * 10 parsnips = 50 parsnips. The full boxes hold a total of 15 boxes * 20 parsnips = 300 parsnips. So Betty harvests a total of 50 + 300 = 350 parsnips in an average harvest. The answer: 350.
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Question: Eighteen hours ago, Beth and I took 100 photographs of our project. Today, Beth and I will take 20% fewer photographs of the same project. If we were to take 300 photographs of the project, how many photographs would we take to reach the target? Think carefully first, then make a decision:
If you took 100 photographs of the project 18 hours ago, and today 20% few photographs have been taken, then 20 / 100 * 100 = 20 fewer photographs of the project have been taken today. The total number of photographs of the project that have been taken today is 100 - 20 = 80. So far, you've taken 80 + 100 = 180 photographs of the project. Since the target number of photographs is 300, the number of photographs that you need to take to reach the target is 300 - 180 = 120. So the answer is 120.
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Give the step-by-step reasoning process and then the final answer. There were 600 cookies in a box. Nicole ate 2/5 of the total number of cookies, while Eduardo ate 3/5 of the remaining amount. What percentage of the original cookies remained?
Nicole ate 2 / 5 of the total number of cookies, which is 2 / 5 * 600 = 240. The total number of cookies that remained in the box after Nicole ate 240 is 600 - 240 = 360. Eduardo then ate 3 / 5 of the remaining cookies, a total of 3 / 5 * 360 = 216 cookies. The total number of cookies that remained after Eduardo ate 216 is 360 - 216 = 144. The percentage of the cookies that remained out of the original amount is 144 / 600 * 100% = 24%. The final answer: 24.
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Robby, Jaylen and Miranda are employed at a Cheesecake factory, earning $10 per hour. They work 10 hours a day, five days a week. Robby saves 2/5 of his salary, Jaylene saves 3/5 of his salary, while Miranda saves half of her salary. What are the combined savings of the three employees after four weeks? Let's think first. Chain of thought:
In a day, each of them earns $10 / hour * 10 hours / day = $100 / day. The total number of days each of them work in a month is five days per week * 4 weeks = 20 days. If each of them earns $100 per day, in 20 days, they'll earn 20 days / month * $100 / day = $2000 / month. Robby saves 2 / 5 * $2000 = $800 from his salary. Jaylene's savings is 3 / 5 * $2000 = $1200 of her salary. Miranda saves 1 / 2 * $2000 = $1000 from her salary. The total saving for the three employees is $1000 + $1200 + $800 = $3000. Therefore, the answer is 3000.
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Jackson is buying school supplies for his third grade class, which has 30 students. Each student needs 5 pens, 3 notebooks, 1 binder and 2 highlighters. Pens cost $0.50, notebooks cost $1.25, binders cost $4.25, and highlighters cost $0.75. If Jackson gets a $100 teacher discount, how much does he spend on school supplies? Let's answer step by step:
First calculate the cost of the pens for one student by multiplying the number of pens by the cost per pen: 5 pens * $0.50 / pen = $2.50. Then calculate the cost of the notebooks for one student by multiplying the number of notebooks by the cost per notebook: 3 notebooks * $1.25 / notebook = $3.75. Then calculate the cost of the highlighters for one student by multiplying the number of highlighters by the cost per highlighters: 2 highlighters * $0.75 / highlighter = $1.50. Now add the cost of all the different supplies to find the total cost for one student: $2.50 + $3.75 + $1.50 + $4.25 = $12.00. Now multiply the cost per student by the number of students to find the total cost before the discount: 30 students * $12.00 / student = $360.00. Now subtract the teacher discount to find the final cost: $360.00 - $100.00 = $260.00. The answer: 260.
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My question is: If Pete read twice as many books as Matt did last year, and this year he doubles that number while Matt reads only 50% more, how many books does Pete read across both years if Matt read 75 books in his second year? Your thoughts:
First, we need to find the amount Matt read both years to establish what Pete read, so to find Matt's first - year total we multiply 75 / 1.5 = 50 books the previous year. Since Pete read twice as many books as Matt did in the first year, and Matt's first - year total is 50, this means Pete read 50 * 2 = 100 books his first year. Since Pete doubled the number of books he read the following year, this means Pete read 100 * 2 = 200 books the following year. We add the two years of Pete's reading together to find 200 + 100 = 300 books read in total. The final answer: 300.
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Question: Tobias went to a swimming pool for 3 hours. Swimming every 100 meters took him 5 minutes, but every 25 minutes he had to take a 5-minute pause. How many meters did Tobias swim during his visit to the swimming pool? Think carefully first, then make a decision:
We need to count the sequences that Tobias made, which consist of 25 minutes of swimming and a 5 - minute pause, so one sequence lasts for 25 minutes + 5 minutes = 30 minutes / sequence. Three hours is 3 hours * 60 minutes / hour = 180 minutes, so he is able to make 180 minutes / 30 minutes / sequence = 6 sequences. Therefore Tobias needs to make 6 pauses within these 6 sequences, which will last for 6 pauses * 5 minutes / pause = 30 minutes. During three hours, he is going to swim for 180 minutes - 30 minutes = 150 minutes. Therefore Tobias can make 100 meters for 150 minutes / 5 minutes / 100 meters = 3 times. So he was able to swim 30 times * 100 meters / time = 3000 meters in total. So the answer is 3000.
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My question is: Reagan's school has a fish tank with a total of 280 fish of two types, koi fish and goldfish. Over the next 3 weeks, the school added 2 koi fish and 5 goldfish per day. If the tank had 200 goldfish at the end of the three weeks, what's the total number of koi fish in the tank after the three weeks? Your thoughts:
The total number of days in 3 weeks is 3 * 7 = 21 days. If 2 koi fish are added every day, the total after 21 days is 21 * 2 = 42 koi fish. if 5 goldfish are added every day, the total after 21 days is 5 * 21 = 105 goldfish. The total number of fish in the tank after 3 weeks is 280 + 42 + 105 = 427 fish. If there were a total of 200 goldfish in the tank after 3 weeks, then the number of koi in the tank is 427 - 200 = 227 koi fish. The final answer: 227.
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Question: Andy works in the pro shop at a tennis resort, where he earns $9 an hour. In addition to this, he gets paid $15 for each racquet he restrings, $10 for changing out the grommets on a racquet, and $1 for painting a stencil on the racquet strings. How much does he earn (before taxes) during an 8-hour shift if he strings 7 racquets, changes 2 sets of grommets, and paints 5 stencils? Think carefully first, then make a decision:
Andy works 8 hours, so he earns a wage of 8 hours * $9 per hour = $72 just for working there. During that time, he restrings 7 racquets, so he earns 7 racquets * $15 per racquet = $105 from stringing. He also changed the grommets in 2 of those racquets, so he earned 2 grommet jobs * $10 per grommet job = $20 from changing grommets. And he stenciled 5 racquets, so he earned 5 stencil jobs * $1 per stencil job = $5 for stenciling. In total, Andy earned $72 + $105 + $20 + 5 = $202 for the day. So the answer is 202.
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Use some thinking to answer the following question. How many digits are in the number 50 ⁇ 8 ⁇ 8 ⁇ 3 ⁇ 11 ⁇ 3? Options: (A) 22 (B) 20 (C) 19 (D) 18 (E) 17
Whenever you are asked to find the number of digits, try to bring the number in multiples of 10. This way, we can wasily calculate the umber of 0's through the powers of 10 50 ⁇ 8 ⁇ 8 ⁇ 3 ⁇ 11 ⁇ 3 = (5 ⁇ 2*2) ⁇ 8*2 ⁇ 9*11 ⁇ 3 = 5 ⁇ 16*2 ⁇ 17*11 ⁇ 3 = 2*11 ⁇ 3*10 ⁇ 16 = 2662*10 ⁇ 16 Hence we would have 16 trailing 0's and the three digits from 2662 Total digits = 4 + 16 = 20 So the final answer is (B).
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Darrel is an experienced tracker. He can tell a lot about an animal by the footprints it leaves behind. One day he saw a set of coyote footprints. Based on the impressions, he could tell the animal was traveling east at 15 miles per hour, and that the animal left the prints 1 hour ago. If the coyote continues to travel east at 15 miles per hour, and Darrell hops on his motorbike and travels east at 30 miles per hour, how long, in hours, will it take for Darrel to catch up to the coyote? Think carefully first, then make a decision:
If we let x be the amount of time, in hours, it will take for Darrel to catch up to the coyote, then we can figure this out. Because the distance Darrel travels is defined as the length of time Darrel travels (x) and Darrel's speed (20mph), or the expression 2 * x. And the distance the coyote travels is defined as the length of time the coyote travels (x + 1 hour) and the coyote's speed (15 mph), or the expression (x + 1) * 1. And since the distance Darrel and the coyote travel is the same, then 2 * x = (x + 1) * 1. Simplifying the expression, we get 2 * x = x + 1. If we subtract 1 x from each side, we get x = 1, the amount of time in hours. So, the answer is 1.
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Sara builds a birdhouse that is 1 foot wide, 2 feet tall and 2 feet deep. Jake builds a birdhouse that is 16 inches wide, 20 inches tall and 18 inches deep. What is the difference in volume between the two birdhouses? Think carefully first, then make a decision:
To compare volumes, the measurements must be in the same units. There are 12 inches in 1 ft, so Sara’s birdhouse is 1 ft x 12 inches / ft = 12 inches wide, 2 ft x 12 inches / ft = 24 inches tall, and 2 ft x 12 inches / ft = 24 inches deep. The volume of Sara’s birdhouse is 12 inches x 24 inches x 24 inches = 6,912 cubic inches. The volume of Jake’s birdhouse is 16 inches x 20 inches x 18 inches = 5,760 cubic inches. The difference between the two birdhouses is 6,912 cubic inches – 5,760 cubic inches = 1,152 cubic inches. So, the answer is 1152.
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Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark has to add 12 gallons of punch to completely fill the bowl. How much punch did Mark initially add to the bowl? Let's be accurate as possible.
First, figure out how much punch was left in the bowl before Mark refilled it by subtracting the 12 gallons he added from the bowl's total capacity: 16 - 12 = 4 gallons. Next, figure out how much punch was in the bowl before Sally came along: 4 + 2 = 6 gallons. Next, figure out how much punch was in the bowl before Mark started to refill it: 6 - 4 = 2 gallons. Finally, multiply that amount by 2 to find out how much punch there was before the cousin drank half: 2 * 2 = 4 gallons. The answer: 4.
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Haleigh decides that instead of throwing away old candles, she can use the last bit of wax combined together to make new candles. Each candle has 10% of it's original wax left. How many 5 ounce candles can she make if she has five 20 oz candles, 5 five ounce candles, and twenty-five one ounce candles? Give me reasons, before answering the question
She gets 2 ounces of wax from a 20 ounce candle because 20 x .1 = 2. She gets 10 ounces total from these candles because 5 x 2 = 10. She gets .5 ounces of wax from each five ounce candle because 5 x .1 = .5. She gets 1.5 ounces total from these candles because 5 x .5 = 2.5. She gets .1 ounces from each one ounce candle because 1 x .1 = .1. She gets 2.5 ounces from these candles because 25 x .1 = 2.5. She gets 15 ounces total because 10 + 2.5 + 2.5 = 15. She can make 3 candles because 15 / 5 = 3. So the final answer is 3.
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Give the step-by-step reasoning process and then the final answer. The number of Oreos and cookies in a box is in the ratio 4:9. Zane bought each Oreo at $2 and each cookie at $3. How much more money did Zane spend on buying the cookies than buying the Oreos if the total number of items in the box is 65?
The total ratio representing the number of cookies and Oreos that Zack bought is 4 + 9 = 13. The fraction representing the number of Oreos Zane bought is 4 / 13, and since the total number of items in the box is 65, Zane bought 4 / 13 * 65 = 20 Oreos. If Zane bought 20 Oreos at $2 each, the total cost of buying Oreos is $2 * 20 = $40. Since the total number of items in the box is 65, and there are 20 Oreos in the box, the number of cookies in the box is 65 - 20 = 45. The cost of buying the cookies at $3 each is 45 * $3 = $135. If the Oreos cost $40 to buy, Zane used $135 - $40 = $95 more to buy Cookies than Oreos. The final answer: 95.
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Mr. Finnegan has 3 tanks with a capacity of 7000 gallons, 5000 gallons, and 3000 gallons, respectively. If he fills the first tank up to 3/4 full, the second tank with water up to 4/5 of its capacity, and the third tank up to half of its capacity, how many gallons in total are in the tanks? Think carefully first, then make a decision:
The capacity of the first tank is 7000 gallons, and if it is filled up to 3 / 4 full, it carries 3 / 4 * 7000 = 5250 gallons. When the second tank is filled up to 4 / 5 of its capacity, it carries 4 / 5 * 5000 = 4000 gallons. The total amount of water in the first two tanks is 5250 + 4000 = 9250 gallons. If Mr. Finnegan fills the third tank with water up to half its capacity, the tank fills up with 1 / 2 * 3000 = 1500 gallons. In total, the three tanks have 9350 + 1500 = 10850 gallons of water. So, the answer is 10850.
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Haley is making cider. It takes 20 golden delicious apples and 40 pink lady apples to make one pint of cider. Each of her 6 farmhands can pick 240 apples per hour and will work 5 hours today. How many pints of cider can Haley make with the apples gathered today, provided that the ratio of golden delicious apples to pink lady apples gathered is 1:2? Thoughts? Step-by-step reasoning:
First figure out how many apples total are needed for one pint of cider: 20 golden delicious / pint + 40 pink lady / pint = 60 apples / pint. Then multiply that number by 8 to find the number of apples needed for a gallon of cider: 60 apples / pint * 8 pints / gallon = 480 apples / gallon. Now find how many apples per hour all 8 farmhands pick: 240 apples / hour / farmhand * 6 farmhands = 1440 apples / hour. Then multiply that amount by the number of hours worked to find the total number of apples gathered: 1440 apples / hour * 5 hours = 7200 apples. Divide the total number of apples gathered by the number of apples used by gallon to find the number of gallons of cider made: 7200 apples / 480 apples / gallon = 15 gallons. Since there are 8 pints in a gallon, the final answer is 15 gallons * 8 pints / gallon = 120 pints. Thus, the answer is 120.
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All individual HIPAA covered healthcare providers (physicians, pharmacists, physician assistants, midwives, nurse practitioners, nurse anesthetists, dentists, denturists, chiropractors, clinical social workers, professional counselors, physical therapists, occupational therapists, pharmacy technicians, athletic trainers etc.) or organizations (hospitals, home health care agencies, nursing homes, residential treatment centers, group practices, laboratories, pharmacies, medical equipment companies, etc.) must obtain an NPI for use in all HIPAA standard transactions, even if a billing agency prepares the transaction. Once assigned, a provider's NPI is permanent and remains with the provider regardless of job or location changes. Answer this question based on the passage: who is required to have a national provider identifier? Let's have some stream of consciousness first.
The relevant information is: All individual HIPAA covered healthcare providers (physicians, pharmacists, physician assistants, midwives, nurse practitioners, nurse anesthetists, dentists, denturists, chiropractors, clinical social workers, professional counselors, physical therapists, occupational therapists, pharmacy technicians, athletic trainers etc.) or organizations (hospitals, home health care agencies, nursing homes, residential treatment centers, group practices, laboratories, pharmacies, medical equipment companies, etc.) must obtain an NPI for use in all HIPAA standard transactions, even if a billing agency prepares the transaction. So, the answer is All individual HIPAA covered healthcare providers ( physicians , pharmacists , physician assistants , midwives , nurse practitioners , nurse anesthetists , dentists , denturists , chiropractors , clinical social workers , professional counselors , physical therapists , occupational therapists , pharmacy technicians , athletic trainers etc . ) or organizations ( hospitals , home health care agencies , nursing homes , residential treatment centers , group practices , laboratories , pharmacies , medical equipment companies , etc . ).
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There are 6561 balls out of them 1 is heavy.Find the min. no. of times the balls have to be weighed for finding out the haevy ball. Options: (A) 7 (B) 8 (C) 9 (D) 10 (E) 11 Hmmm, my stream of consciousness:
The simple logic is to divide total balls into three sets. Weigh any two sets against each other(these two must contain equal number of balls). From this we can identify which set contains the heavy ball. Divide this set into three and repeat until you find the heavier ball. Under this logic, the minimum number of weighings required turns out to be the smallest integer greater than or equal to log(n), where n is the total number of balls and the base of logarithm is 3. Or simply [log(n)/log(3)] with any base. Here, n = 6561. log 6561 / log 3 = 8 So, the answer is (B).