express the ratio of 2580 as a percentage
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HESI A2

HESI A2 Math 2024

1. Express the ratio of 25:80 as a percentage.

Correct answer: A

Rationale: To express the ratio 25:80 as a percentage, follow these steps: First, divide 25 by 80: 25/80 = 0.3125. Then, multiply by 100 to convert to a percentage: 0.3125 × 100 = 31.25%. Therefore, the ratio 25:80 is equivalent to 31.25%. Choice A is correct. Choice B (34%) is incorrect because it does not accurately represent the ratio 25:80. Choice C (41.25%) and Choice D (43.75%) are also incorrect as they do not match the calculated percentage for the given ratio.

2. A hospital receives a shipment of vitamin tablets. The hospital ordered 6,000 tablets, but the shipment included 1/5 more tablets than the hospital ordered. How many tablets were in the shipment?

Correct answer: A

Rationale: To find the total tablets in the shipment, first, calculate 1/5 of 6,000: 6,000 * 1/5 = 1,200. Add this to the original order: 6,000 + 1,200 = 7,200 tablets. Therefore, the shipment included 7,200 tablets. Choice B, 5,000 tablets, is incorrect because it does not account for the additional 1/5 of the original order. Choice C, 6,500 tablets, is incorrect as it only considers the original order and not the extra tablets. Choice D, 8,000 tablets, is incorrect as it overestimates the total by not considering the 1/5 more tablets included in the shipment.

3. Multiply: 3/4 × 1/3.

Correct answer: A

Rationale: To multiply fractions, multiply the numerators together and the denominators together. In this case, 3/4 × 1/3 = (3 × 1) / (4 × 3) = 3/12 = 1/4. Therefore, the correct answer is A: 1/4. Choices B (1/3), C (3/5), and D (3/8) are incorrect because they do not result from the correct multiplication of the given fractions.

4. How many ounces are in 3 pints?

Correct answer: B

Rationale: To find out how many ounces are in 3 pints, you need to multiply the number of pints by the number of ounces in 1 pint. Since there are 16 ounces in 1 pint, 3 pints equal 3 * 16 = 48 ounces. Therefore, the correct answer is 48 ounces. Choice A (24 ounces) is incorrect because it miscalculates the conversion. Choice C (32 ounces) is incorrect as it does not correctly apply the conversion factor. Choice D (64 ounces) is incorrect as it doubles the correct answer, showing a misunderstanding of the conversion.

5. What is the result of adding 5 2/9 and 1 2/9?

Correct answer: A

Rationale: To add mixed numbers with fractions, first add the whole numbers together: 5 + 1 = 6. Then add the fractions: 2/9 + 2/9 = 4/9. Combining the whole number and the fraction parts gives 6 4/9. Therefore, the correct answer is 6 4/9. Choice B (7 5/9) is incorrect as the fractions were not added correctly. Choice C (7) is incorrect as it does not account for the fractions. Choice D (5 2/9) is one of the original numbers and not the sum of both.

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