a marathon runner is training for her next race on her weekly weekend run she completes 214 miles and burns 2276 calories what is her rate of calories
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HESI A2

Math HESI A2 Practice Test

1. A marathon runner is training for her next race. On her weekly weekend run she completes 21.4 miles and burns 2276 calories. What is her rate of calories burned per mile?

Correct answer: A

Rationale: To calculate 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. The correct answer is A. Choice B, C, and D are incorrect as they do not match the correct calculation result. Therefore, they can be eliminated. It is essential to divide the total calories burned by the total miles run to determine the rate of calories burned per mile accurately.

2. A medication dosage is listed as 1/4 gram. What is the equivalent dosage in milligrams (1 gram = 1000 milligrams)?

Correct answer: B

Rationale: 1/4 gram is equivalent to 1/4 * 1000 milligrams (since 1 gram = 1000 milligrams). 1/4 * 1000 = 250 milligrams. Therefore, the equivalent dosage in milligrams is 250mg, which corresponds to option B. The other choices are incorrect because they do not correctly convert 1/4 gram to milligrams using the conversion factor of 1 gram = 1000 milligrams.

3. Solve for x: 3:2 :: 24:x

Correct answer: A

Rationale: To solve the proportion 3:2 :: 24:x, we set up the equation 3/2 = 24/x. Cross multiply to get 3x = 48, then divide by 3 to find x = 16. Therefore, the correct answer is 16. Choice B (12) is incorrect as it does not satisfy the proportion. Choice C (2) is incorrect as it does not match the relationship between the numbers given. Choice D (22) is incorrect as it is not the solution to the proportion equation.

4. 81:X::9:27. Find X.

Correct answer: B

Rationale: To find X in the given proportion 81:X::9:27, you can set up the equation 81/X = 9/27. Cross-multiplying gives 81 * 27 = 9 * X, which simplifies to 2187 = 9X. Dividing both sides by 9 results in X = 27. Therefore, the correct answer is B. Choice A (3) is incorrect as it does not satisfy the proportion. Choice C (21) is incorrect as it is not the correct value to make the proportion valid. Choice D (9) is incorrect as it does not align with the proportion provided.

5. How many pounds are in 192 ounces?

Correct answer: C

Rationale: To convert ounces to pounds, divide the number of ounces by 16 since there are 16 ounces in a pound. Therefore, 192 ounces ÷ 16 = 12 pounds. Choice A, 16 pounds, is incorrect because it does not represent the correct conversion from ounces to pounds. Choice B, 10 pounds, is incorrect as it is not the result of dividing 192 ounces by 16. Choice D, 16 pounds, is the same as choice A and is incorrect in the context of this conversion.

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