HESI A2 Math

Correct Answer: A

Rationale: To find Andy's daily mileage, we first calculate Jake's daily mileage: 24.5 miles / 7 days = 3.5 miles/day. Since Andy runs five times as much, he runs 3.5 * 5 = 17.5 miles/day. Therefore, the correct answer is A. Choice B (17.7) is incorrect because it is not the result of the calculation in this scenario. Choice C (16.5) is incorrect as it does not account for Andy running five times as much as Jake. Choice D (18.2) is incorrect because it does not align with the correct calculation based on the information provided.

Correct Answer: A

Rationale: To find the new width, we need to use the concept of proportionality. Since the height is increasing from 15 inches to 4 feet (48 inches), we set up the proportion: 15/width = 48/new width. Solving for the new width, we get width = (15 * new width) / 48. Given the new height is 4 feet, we substitute 48 for the new height: width = (15 * new width) / 48 = (15 * new width) / 48 = 4.2 feet. Therefore, the correct answer is A: 2.1 feet. Choices B, C, and D are incorrect as they do not align with the proportionality calculation.

Correct Answer: A

Rationale: To calculate the distance traveled, multiply the speed (60 mph) by the time (2.5 hours): 60 mph * 2.5 hours = 150 miles. Therefore, the correct answer is B. Choice A (120 miles) is incorrect as it is lower than the correct calculation. Choices C (180 miles) and D (170 miles) are incorrect as they are higher than the actual distance traveled.

Correct Answer: D

Rationale: To divide mixed numbers, convert them to improper fractions, then multiply by the reciprocal of the divisor. 4 7/8 = 39/8 1 1/6 = 7/6 (39/8) ÷ (7/6) = (39/8) * (6/7) = 234/56 = 4 5/28 Therefore, the correct answer is D: 4 & 5/28. Choice A is incorrect as it doesn't represent the correct division result. Choices B and C are also incorrect because they do not match the calculated result of 4 5/28.

Correct Answer: A

Rationale: To solve for y in the equation 4y + 21/y when y = 3: 1. Substitute y = 3 into the equation: 4(3) + 21/3 = 12 + 7 = 19. Therefore, the correct answer is A (19). Explanation for other choices: B: 7.7 - Incorrect. Not the result of substituting y = 3. C: 23/3 - Incorrect. Not the simplified result of the equation. D: 11 - Incorrect. Not the result of substituting y = 3.