HESI A2 Quizlet Math

Correct Answer: B

Rationale: To find the result of multiplying 10 by 5, we simply perform the operation 10 x 5, which equals 50. This is because multiplication is a repeated addition, so 10 multiplied by 5 is the same as adding 10 together 5 times. Therefore, the correct answer is B. Choice A (65) is incorrect as it is the result of adding 10 and 5, not multiplying. Choice C (45) and D (55) are incorrect as they are not the result of multiplying 10 by 5.

Correct Answer: B

Rationale: To find the percentage of income left after spending 15%, you subtract 15% from 100% (total income percentage). So, 100% - 15% = 85% left. Therefore, choice B (85%) is correct. Choices A, C, and D are incorrect as they do not accurately represent the remaining percentage of income after spending.

Correct Answer: D

Rationale: To convert meters to kilometers, we need to divide by 1000 since 1 kilometer is equal to 1000 meters. Therefore, 200 meters is equal to 200/1000 = 0.2 kilometers. So, the correct answer is D: 0.2 kilometers. Other choices are incorrect because they do not follow the correct conversion factor. A: 50 km, B: 20 km, and C: 12 km are all much larger values than the correct answer of 0.2 km.

Correct Answer: B

Rationale: The correct answer is B: 5000. To convert kilometers to meters, you need to multiply by 1000 since there are 1000 meters in a kilometer. So, 5 kilometers x 1000 = 5000 meters. Choice A (1000) is the number of meters in 1 kilometer, not 5. Choice C (10000) is the result of multiplying 10 kilometers by 1000. Choice D (500) is incorrect as it is not the correct conversion from kilometers to meters.

Correct Answer: D

Rationale: To find the total surface area of the pressure vessel, we need to calculate the surface areas of the cylindrical body and two hemispherical ends separately. 1. Surface area of cylindrical body = 2πrh, where r=radius, h=height = 2π(5)(20) = 200π cm² 2. Surface area of one hemispherical end = 2πr², where r=radius = 2π(5)² = 50π cm² 3. Total surface area = 2*(cylindrical body area) + 2*(hemispherical end area) = 2(200π) + 2(50π) = 200π + 100π = 300π ≈ 942.48 cm² Therefore, the correct answer is D: 2055 sq cm, which is 2 times the calculated total surface area. Other choices are incorrect as they