HESI A2 Math

Correct Answer: D

Rationale: The runner ran for 2 hours and 15 minutes (10:00 - 7:45). Distance = speed x time, so distance = 6 mph x 2.25 hours = 13.5 miles. The correct answer is D: 13.5 miles. Summary: A: 11.5 miles - Incorrect, less than the correct answer. B: 14.5 miles - Incorrect, more than the correct answer. C: 12 miles - Incorrect, less than the correct answer.

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 determine the number of cakes he can bake, first, find how many cakes can be baked per cup of sugar (4 cakes/10 cups = 0.4 cakes/cup). Since the bag is half full, he has 15 cups of sugar (30 cups/2). So, he can bake 6 cakes (0.4 cakes/cup * 15 cups = 6 cakes). Therefore, the correct answer is A: 6 cakes. The other choices are incorrect because they do not align with the calculations based on the given information.

Correct Answer: A

Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total distance covered. In this case, 2,274 calories ÷ 21.6 miles = 105.28 calories per mile (rounded to two decimal places), which matches option A. This calculation is based on the fundamental concept of division, where the total calories are distributed evenly over the total distance. Choices B, C, and D are incorrect as they do not match the calculated rate. This question tests basic division skills and understanding of calculating rates.

Correct Answer: B

Rationale: The correct answer is B: 2 tablets. To reach the prescribed 500 mg dosage, two 250 mg tablets should be given. This is because 250 mg + 250 mg = 500 mg, meeting the prescription requirements accurately. Choices A, C, and D are incorrect because they do not add up to the required 500 mg dosage. Option A (3 tablets) would result in 750 mg, option C (4 tablets) would total 1000 mg, and option D (5 tablets) would equal 1250 mg, all exceeding the prescribed amount. Hence, the correct answer is 2 tablets to achieve the precise 500 mg dosage.