a marathon runner completes 214 miles and burns 2276 calories what is her rate of calories burned per mile
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HESI A2

HESI A2 Math

1. A marathon runner completes 21.4 miles and burns 2276 calories. What is her rate of calories burned per mile?

Correct answer: B

Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total miles run. In this case, 2276 calories ÷ 21.4 miles = 106.4 calories per mile. Therefore, the correct answer is B. Choice A (106.3) is incorrect because it is slightly lower than the calculated value. Choice C (106.355) is incorrect as it is a more precise value than the calculation result. Choice D (106.36) is also incorrect as it is a more precise value than the calculated answer.

2. What is 70% of 110?

Correct answer: C

Rationale: To find 70% of 110, you need to multiply 110 by 0.7. Therefore, 110 * 0.7 = 77. The correct answer is 81, not 77. Choices A, B, and D are incorrect as they are not the product of multiplying 110 by 0.7, which is the correct method for finding 70% of 110.

3. A lab test result shows a blood glucose level of 5.5 millimoles per liter (mmol/L). What is the equivalent level in milligrams per deciliter (mg/dL)?

Correct answer: A

Rationale: To convert the blood glucose level from millimoles per liter (mmol/L) to milligrams per deciliter (mg/dL), we need to perform a double conversion. 1 millimole is equivalent to 180.15 milligrams, and 1 liter is equal to 10 deciliters. First, multiply the glucose level (5.5 mmol/L) by the conversion factor for millimoles to milligrams (180.15 mg/mmol), then divide by the conversion factor for liters to deciliters (10 dL/L): 5.5 mmol/L * 180.15 mg/mmol / 10 dL/L ≈ 55 mg/dL. Therefore, the equivalent blood glucose level in mg/dL is 55. Choice A is correct. Choice B is incorrect as it does not account for the conversion factors properly. Choices C and D are significantly off as they do not follow the correct conversion calculations.

4. What is the result of subtracting 9.99 from 12.02?

Correct answer: A

Rationale: The correct subtraction is 12.02 - 9.99 = 2.03. Therefore, the correct answer is A. Choice B, 2.21, is incorrect as it does not result from the given subtraction. Choice C, 3.17, is also incorrect. Choice D, 7.97, is incorrect as well. Thus, A is the only correct answer.

5. A newborn weighs 8 pounds 5 ounces. There are 453.59 grams per pound. What is the infant's weight in grams?

Correct answer: B

Rationale: To convert pounds and ounces to grams: 8 pounds = 8 × 453.59 = 3,628.72 grams. 5 ounces = (5 ÷ 16) × 453.59 = 141.75 grams. Total weight = 3,628.72 + 141.75 = 3,629 grams (rounded). Therefore, the infant's weight is approximately 3,629 grams. Choice A, 2268 grams, is incorrect as it does not account for the weight in ounces. Choice C, 3770 grams, is incorrect as it is not the accurate converted weight. Choice D, 3856 grams, is incorrect as it does not consider the conversion of ounces to grams.

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