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Question:

If 10 inches on a map represents an actual distance of 100 feet, then what actual distance does 25 inches on the map represent?

A 250 feet

explanation

First calculate the number of feet that 1 inch represents:
\(100ft \div 10in = 10ft/in\)
Then multiply this by the total number of inches: \(25in \times 10ft/in=250ft\)

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Three people go to a restaurant. Their bill comes to $78.00. They decide to split the cost. One person pays $4.50; the next person pays 3 times that amount. How much will the third person have to pay?

$60.00

First, figure out how much the second person paid: 4.50×3=13.5
Then, calculate the total amount contributed by the first two people:
$4.50 + $13.50 = $18.00
Finally, calculate how much the third person will have to contribute by subtracting the amount paid ($18.00) from the original amount owed ($78.00):
$78.00 - $18.00 = $60.00

Maya purchased a boat for $18,340. Its value depreciated by 15% in the first year she owned it. What was her boat worth at the end of this first year?

$15,589

One way to solve this is to multiply 0.15 by 18,340, and then subtract this result from 18,340. An easier way is to recognize that the boat will still retain (100% - 15% = 85%) of its value at the end of the first year. So you can just multiple 0.85 by 18,340:
0.85 × 18,340 = 15,589.

Stephen signed up to bring 5 gallons of lemonade to the company picnic. He has a 5-gallon bucket that contains 3.5 gallons of lemonade. How many pints of lemonade will he need to add in order to fill the bucket?

12

He needs 1.5 gallons. There are 4 quarts in a gallon, so he will need 6 quarts. There are 2 pints in a quart, so he needs to add 12 pints.

A cross country coach just announced that, by the end of the quarter, all students should run the 10 miles in less than 70 minutes. There are 15 students in the group.
6 of them ran 10 miles in 1 hour + 5 minutes,
4 of them ran 10 miles in 1 hour + 3 minutes,
2 of them ran 10 miles in 1 hour + 9 minutes,
3 of them ran 10 miles in 1 hour and 10 minutes.
How many students made the goal?

12

Express 70 minutes in the form of hours + minutes since most of the figures given were in that form, hence:
70 minutes = 60 minutes + 10 minutes = 1 hour + 10 minutes.
This means that for students to pass, they must run the 10-mile distance in less than this time set by the coach. Checking the students’ time one by one, only 3 out of 15 students were not able to run the 10 miles in less than 1 hour + 10 minutes.
15 - 3 = 12 students made the goal.

Which of the following is NOT a factor of 90?

12

A factor must divide evenly into its multiple. We know that 12 cannot be a factor of 90 because: 90÷12=7.5

A woman weighs 145 pounds. She gains 12 pounds one month and 6 pounds the next month. What is her new weight?

163 pounds

To calculate her new weight, add her weight increases (12 pounds and 6 pounds) to her original weight (145 pounds): 145 pounds + 12 pounds + 6 pounds = 163 pounds

If one acre of forest contains 294 pine trees, how many pine trees are contained in 25 acres?

7350

To calculate this value, multiply the number of pine trees per acre (294) by the number of acres indicated (25): 294 * 25 = 7350 (pine trees).