in a survey 120 people were asked if they could swim if 85 said they could how many people could swim
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HESI A2

HESI A2 Quizlet Math

1. In a survey, 120 people were asked if they could swim. If 85% said they could, how many people could swim?

Correct answer: B

Rationale: To find the number of people who could swim, multiply the total number surveyed by the percentage who said they could swim. In this case, 85% of 120 people is calculated as 0.85 * 120, resulting in 102 people who could swim. Choice A (100) is incorrect because this does not account for the percentage that said they could swim. Choice C (110) is incorrect as it is above the total number surveyed. Choice D (90) is incorrect as it does not consider the percentage who said they could swim.

2. Round to the tenths place: What is 6.4% of 32?

Correct answer: B

Rationale: To find 6.4% of 32, first calculate 6.4% as a decimal (0.064) and then multiply it by 32 to get 2.048. When rounding to the tenths place, 2.048 is rounded to 2.1 because the digit after the tenths place is 8, which is equal to or greater than 5. Choice A is incorrect as it does not reflect the accurate calculation. Choices C and D are also incorrect because they do not match the correct result of multiplying 6.4% by 32 and rounding to the tenths place.

3. An ancient Egyptian pyramid has a square base with side lengths of 20 meters and a remaining height (after erosion) of 10 meters. Its original height was 30 meters. What was the volume of the pyramid in its original state?

Correct answer: A

Rationale: To find the volume of a pyramid, you can use the formula: Volume = (1/3) * base area * height. In this case, the base area is the square of side length 20 meters, which is 20 * 20 = 400 square meters. The original height of the pyramid is 30 meters. Therefore, the volume of the pyramid in its original state is (1/3) * 400 * 30 = 12000 cubic meters. Choice A is correct. Choices B, C, and D are incorrect as they do not correctly calculate the volume using the original height and base area of the pyramid.

4. A cake recipe calls for 2½ cups of flour. How many cups are needed to make 6 cakes?

Correct answer: D

Rationale: To make one cake, you need 2½ cups of flour. To make 6 cakes, you would need 6 times the amount of flour for one cake, which is 2½ x 6 = 15 cups. Therefore, the correct answer is 15 cups. Choices A, B, and C are incorrect as they do not correctly calculate the total amount of flour needed for 6 cakes.

5. After spending $75.64 at one store and $22.43 at the next store, how much money does the shopper have left if they started with $100.00?

Correct answer: A

Rationale: To determine how much money the shopper has left, add the amounts spent: $75.64 + $22.43 = $98.07. Then, subtract the total spent from the starting amount: $100.00 - $98.07 = $1.93 left. Therefore, choice A, $1.93, is the correct answer. Choice B, $5.00, is incorrect because it does not reflect the correct calculation. Choice C, $0.72, is incorrect as it does not consider the total amount spent. Choice D, $20.13, is incorrect because it does not reflect the remaining amount after the expenses.

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