a marathon runner completes 216 miles and burns 2274 calories what is the rate of calories burned per mile

HESI A2

HESI A2 Math

1. A marathon runner completes 21.6 miles and burns 2,274 calories. What is the rate of calories burned per mile?

A. 105.28
B. 105.37
C. 105.45
D. 105.55

Correct answer: A

Rationale: To find the rate of calories burned per mile, you divide the total calories burned by the total miles run: 2274 calories / 21.6 miles = 105.28 calories per mile. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not match the calculated value. The rate of calories burned per mile is a precise calculation based on the given values, and only choice A aligns with the correct calculation.

2. If a dice is rolled, what is the probability of getting an even number?

A. 16%
B. 33%
C. 66%
D. 50%

Correct answer: D

Rationale: When rolling a standard six-sided die, there are three even numbers (2, 4, 6) out of a total of six possible outcomes (1, 2, 3, 4, 5, 6). The probability of rolling an even number can be calculated as the number of favorable outcomes (3) divided by the total number of outcomes (6), which equals 3/6 = 50%. Therefore, the correct answer is D. Choice A (16%) is incorrect because it does not represent the probability of rolling an even number. Choice B (33%) is incorrect as it does not reflect the correct probability. Choice C (66%) is incorrect as well since it overestimates the probability.

3. How many ounces are in 2.5 quarts?

A. 64 ounces
B. 40 ounces
C. 32 ounces
D. 80 ounces

Correct answer: D

Rationale: To convert quarts to ounces, you need to know that 1 quart is equal to 32 ounces. Therefore, to find out how many ounces are in 2.5 quarts, you multiply 2.5 by 32, which equals 80 ounces. So, the correct answer is 80 ounces. Choice A (64 ounces) is incorrect as it miscalculates the conversion. Choice B (40 ounces) is incorrect as it does not consider the correct conversion factor. Choice C (32 ounces) is incorrect as it provides the conversion for 1 quart only, not for 2.5 quarts.

4. 7:5=91:x. Find x.

A. x=65
B. x=55
C. x=75
D. x=85

Correct answer: A

Rationale: To solve the proportion 7:5=91:x, cross multiply to get 7x = 5 * 91. Then, solve for x by dividing both sides by 7, which gives x = 65. Therefore, the correct answer is x=65. Choice B, x=55, is incorrect because it does not satisfy the proportion equation. Choices C and D, x=75 and x=85, are also incorrect as they do not match the calculated value of x when the proportion is solved.

5. Richard wants to make 2.5 batches of sugar cookies. One batch calls for 1.75 cups of sugar. How many cups of sugar will Richard need for 2.5 batches?

A. 4
B. 3
C. 5 cups
D. 3

Correct answer: A

Rationale: To calculate how much sugar Richard needs for 2.5 batches, multiply the amount of sugar needed for one batch (1.75 cups) by 2.5: 1.75 Ã— 2.5 = 4.375 Â cups 1.75Ã—2.5=4.375Â cups Since the question is asking for the nearest whole number, 4.375 rounds to 4.