if a marathon runner burns 2276 calories in 214 miles what is their rate of calories burned per mile

HESI A2

HESI A2 Math Practice

1. If a marathon runner burns 2276 calories in 21.4 miles, what is their rate of calories burned per mile?

A. 107.5
B. 106.4
C. 105.6
D. 109.3

Correct answer: B

Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total miles run: 2276 ÷ 21.4 ≈ 106.4 calories per mile. This calculation gives the average number of calories burned for each mile of the marathon. Choice A, 107.5, is incorrect as it does not match the precise calculation result. Choices C and D are also incorrect as they are not the accurate rate of calories burned per mile based on the given data.

2. Which of the following percentages is equal to 0.45?

A. 4.5%
B. 0.045%
C. 0.45%
D. 45%

Correct answer: D

Rationale: To convert 0.45 to a percentage, you multiply by 100: 0.45 × 100 = 45%. Therefore, the correct answer is D. 45%. Choice A, 4.5%, is incorrect. This percentage would be equal to 0.045, not 0.45. Choice B, 0.045%, is also incorrect. It represents 0.045, not 0.45. Choice C, 0.45%, is very close to the correct answer but actually represents 0.0045, not 0.45.

3. Change the following percentage to a decimal: 58%

A. 0.58
B. 5
C. 0
D. 0

Correct answer: A

Rationale: To convert a percentage to a decimal, move the decimal point two places to the left. Therefore, 58% as a decimal is 0.58. Choice B, 5, is incorrect as it does not represent the conversion of a percentage to a decimal. Choices C and D, both 0, are also incorrect as they do not reflect the correct conversion of 58% to a decimal.

4. What is 72 inches converted to feet?

A. 12 feet
B. 6 feet
C. 4 feet
D. 17 feet

Correct answer: B

Rationale: To convert inches to feet, you divide the number of inches by 12 since there are 12 inches in a foot. Therefore, 72 inches divided by 12 equals 6 feet. The correct answer is 6 feet. Choice A, 12 feet, is incorrect as it is the result if we were converting 144 inches. Choice C, 4 feet, and Choice D, 17 feet, are incorrect conversions and do not correspond to the given measurement of 72 inches.

5. Round to the nearest whole number: What is 18% of 600?

A. 108
B. 76
C. 254
D. 176

Correct answer: A

Rationale: To find 18% of 600, you multiply 600 by 0.18, which equals 108. Since 108 is already a whole number, when rounding to the nearest whole number, it remains the same. Choices B, C, and D are incorrect as they do not represent the correct calculation for finding 18% of 600.