HESI A2 Quizlet Math

Correct Answer: C

Rationale: To convert 5 3/4 to a decimal, we first convert the mixed number to an improper fraction: 5 3/4 = (4*5 + 3)/4 = 23/4. Then, divide the numerator by the denominator to get the decimal: 23 ÷ 4 = 5.75. When rounded to the nearest tenth, 5.75 becomes 5.8. Therefore, the correct answer is C (5.8). Choices A (5.75) and B (5.7) are incorrect as they do not account for rounding to the nearest tenth. Choice D (6) is incorrect as it is the closest whole number approximation, but does not accurately represent 5 3/4 as a decimal rounded to the nearest tenth.

Correct Answer: D

Rationale: To divide 40.3 by 4.8, we perform the division operation as follows: 40.3 ÷ 4.8 = 8.39583... Rounded to one decimal place, the result is 8.4, which is the correct answer (Choice D). Choice A (0.084) is incorrect as it is the result of dividing 40.3 by 480. Choice B (84) is incorrect as it is the result of multiplying 40.3 by 4.8. Choice C (0.84) is incorrect as it is close to the correct answer but not the precise result of the division.

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: C

Rationale: To solve this problem, we first find the total number of players on the team by setting up a proportion: 4 players represent 5%, so 1% is equal to 0.8 players. Thus, the total number of players is 4 divided by 0.05, which equals 80 players. Since 4 players have long hair, there are 80 - 4 = 76 players with short hair. The correct answer is C. Option A, B, and D are incorrect because they do not align with the calculated total number of players on the team.

Correct Answer: A

Rationale: Failed to generate a rationale after 5 retries.