if andy runs five times as long as jake and jake runs 245 miles each week how many miles does andy run in a day
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HESI A2

HESI A2 Math

1. If Andy runs five times as long as Jake, and Jake runs 24.5 miles each week, how many miles does Andy run in a day?

Correct answer: A

Rationale: To find how many miles Andy runs in a day, we need to calculate the distance Andy runs in a week. Since Andy runs five times as long as Jake, Andy runs 5 * 24.5 = 122.5 miles per week. To convert this to miles per day, we divide by 7 (days in a week): 122.5 / 7 = 17.5 miles per day. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not accurately reflect the calculation based on the given ratio.

2. Out of a total of 50 homes, she sold 11. What percentage of the homes did she sell?

Correct answer: C

Rationale: To find the percentage of homes she sold, divide the number of homes she sold (11) by the total number of homes (50), then multiply by 100. (11 / 50) * 100 = 22%. Therefore, she sold 22% of the homes. Choice A (16%) is incorrect because it is less than the correct percentage. Choice B (18%) is also less than the correct percentage. Choice D (24%) is greater than the correct percentage of homes she sold.

3. What is the boiling point of water in degrees Fahrenheit?

Correct answer: C

Rationale: The correct answer is C: '212°F.' The boiling point of water at standard atmospheric pressure is 212°F. This is the temperature at which water transitions from a liquid to a gas phase, known as boiling. It is a fundamental property of water and a crucial point to remember for various applications in science and everyday life. Choice A (100°F) is the boiling point of water in degrees Celsius, not Fahrenheit. Choice B (200°F) and Choice D (250°F) are not correct boiling points for water at standard atmospheric pressure.

4. If she had $1,070 after spending $18, how much did she have initially?

Correct answer: A

Rationale: To determine the initial amount she had, we subtract the amount spent ($18) from the total amount she had after spending. If she had $1,070 after spending, subtracting $18 gives us $1,052, which was the initial amount. Choices B, C, and D are incorrect as they do not consider the subtraction of the amount spent to find the initial amount.

5. An architect is designing a rectangular room. The room has an area of 225 square feet and a width of 15 feet. What is the length of the room?

Correct answer: B

Rationale: The formula for the area of a rectangle is: Area = Length × Width. To find the length, divide the area by the width: 225 ÷ 15 = 15 feet. Therefore, the correct answer is 15 feet. Choice A (30 feet) is incorrect because it is the product of the area and the width, not the length. Choice C (25 feet) is incorrect as it does not match the result of dividing the area by the width. Choice D (45 feet) is incorrect as it is not the result of the calculation needed to find the length.

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