HESI A2 Math

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: C

Rationale: To find the length of the second building's shadow, we can use the concept of similar triangles. The ratio of the first building's height to its shadow length is 1700/525. Since the second building is shorter, the ratio should remain the same. Cross-multiplying, we get (1700/525) = (1450/x), where x is the length of the shadow of the second building. Solving for x gives x = (1450*525)/1700 = 448.5 feet. Therefore, choice C is correct. Choices A, B, and D are incorrect because they do not correctly calculate the length of the shadow using the given information and the concept of similar triangles.

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: 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.