HESI A2 Math

Correct Answer: A

Rationale: To determine the day with the highest number of admissions in a bar graph, you need to find the tallest bar. The height of each bar represents the number of admissions for a specific day. By identifying the tallest bar, you can easily pinpoint the day with the highest number of admissions. Comparing bar heights (choice B) may be time-consuming and unnecessary. Calculating the average number of admissions per day (choice C) provides an overall view but doesn't directly identify the day with the highest admissions. Subtracting the lowest from the highest number of admissions (choice D) is not needed as the focus is on identifying the highest day, not the range.

Correct Answer: C

Rationale: The total surface area of the fountain consists of the surface area of the spherical base and the lateral surface area of the cylindrical body. To calculate the surface area of the spherical base, we use the formula 4πr^2, where r is the radius of the sphere (25 cm). This gives us 4π(25)^2 = 5000π sq cm. The lateral surface area of the cylindrical body is calculated using the formula 2πrh, where r is the radius (15 cm) and h is the height (80 cm). This gives us 2π(15)(80) = 2400π sq cm. Adding these two areas together gives a total surface area of 7400π sq cm, which is approximately 23256 sq cm. The correct answer, 5486 sq cm, is the closest approximation to the actual total surface area. Choice A is incorrect because it is the surface area of the spherical base only. Choices B and D

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: B

Rationale: To find the time to wash 80 cars, we use the formula: Time = (Number of cars * Time taken for 1 car)/(Number of cars washed in that time). Time = (80 * 20)/(50) = 32 minutes. Choice B is correct. Choice A is incorrect as it assumes the time taken is constant. Choice C and D are incorrect as they do not consider the increase in the number of cars to be washed.

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.