HESI A2 Math

Correct Answer: A

Rationale: To find the area of a rectangle, you multiply its length by its width. In this case, the length is 12 meters and the width is 10 meters. So, Area = Length x Width = 12m x 10m = 120 square meters. Choice A is correct as it correctly calculates the area. Choices B, C, and D are incorrect as they do not correctly calculate the area based on the given dimensions.

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: C

Rationale: The correct answer is C (27 hours). The truck driver left at 10:00 AM on Tuesday and arrived at 6:00 PM on Wednesday, which is a total of 32 hours. To calculate the driving time, we subtract the time spent overnight (10 hours) from the total time, giving us 22 hours. However, we need to add the 5 hours the driver drove on Tuesday from 10:00 AM to 6:00 PM, totaling 27 hours. Choice A (28 hours) is incorrect because it does not account for the time spent overnight. Choice B (32 hours) is incorrect as it includes the entire duration of departure to arrival without considering the overnight stop. Choice D (15 hours) is incorrect as it does not consider the full duration of the trip.

Correct Answer: A

Rationale: To calculate the annual dividend Mr. Rogers receives for his 400 shares, we need to find the dividend per share first. For Mr. Parker, the dividend per share is $180/150 = $1.20. So, for Mr. Rogers, with 400 shares, his annual dividend would be 400 x $1.20 = $480. Therefore, the correct answer is A: $480. Summary: - B: $500 is incorrect because it is not the correct calculation based on the given information. - C: $450 is incorrect as it is not the correct calculation based on the given information. - D: $72,000 is incorrect as it is an excessively high amount and not a reasonable dividend for owning 400 shares.

Correct Answer: D

Rationale: The correct answer is D (0.87) because it is the highest number among the options provided. To compare the numbers, we look at the tenths place first. In this case, 0.87 has the highest value in the tenths place, making it the largest number. The other choices, 0.077, 0.777, and 0.08 have lower values in the tenths place, hence they are not as high as 0.87. Therefore, 0.87 is the correct answer as it is the highest number among the given choices.