which of these dates is represented by the roman numeral mdxvi
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HESI A2

HESI A2 Math 2024

1. Which of these dates is represented by the Roman numeral MDXVI?

Correct answer: D

Rationale: The Roman numeral MDXVI translates to 1516 in Arabic numerals. The Roman numeral 'M' represents 1000, 'D' represents 500, 'X' represents 10, and 'VI' represents 6, which adds up to 1516. Therefore, the correct answer is 1516. Choices A, B, and C are incorrect as they do not match the Roman numeral MDXVI.

2. A nurse is reviewing the daily intake and output (I&O) of a patient consuming a clear diet. The drainage bag denotes a total of 1,000 mL for the past 24 hours. The total intake is: 2 8oz cups of coffee, 1 16-oz serving of clear soup, and 1 pint of water consumed throughout the day. How much is the deficit in milliliters?

Correct answer: A

Rationale: First, convert all fluid intake to milliliters: 2 8-oz cups of coffee = 8 × 2 × 30 = 480 mL 1 16-oz serving of clear soup = 16 × 30 = 480 mL 1 pint of water = 16 × 30 = 480 mL Total intake = 480 + 480 + 480 = 1440 mL. The patient produced 1,000 mL, so the deficit is: 1440 mL - 1000 mL = 440 mL. Therefore, the deficit in milliliters is 440 mL. Choice A is correct. Choices B, C, and D are incorrect as they do not reflect the accurate deficit calculated based on the total intake and output provided in the question.

3. Solve for x: 2 : 5 :: 64 : x

Correct answer: C

Rationale: The symbol '::' represents a proportion in which the first pair of numbers is related to the second pair of numbers. To solve for x in the proportion 2 : 5 :: 64 : x, you can set up a proportion equation: 2/5 = 64/x. Cross-multiplying gives you 2x = 5 * 64, which simplifies to 2x = 320. Dividing both sides by 2, you get x = 160. Therefore, x = 128 is the correct answer. Choice A (32) is incorrect as it is not the result of solving the proportion equation. Choice B (70) is incorrect as it is not related to the given proportion. Choice D (160) is a common mistake made by wrongly interpreting the equation; the correct value of x is 128.

4. What is 25% of 400?

Correct answer: D

Rationale: To find 25% of a number, multiply the number by 0.25 (since 25% is the same as 25/100 or 0.25). In this case, 400 x 0.25 = 100. Therefore, 25% of 400 equals 100. Choice A, 800, is incorrect because it is the result of multiplying 400 by 2, not by 0.25. Choice B, 10,000, is also incorrect as it is significantly higher than the correct answer. Choice C, 200, is incorrect as it is the result of dividing 400 by 2, not by 0.25.

5. Erin has 6.25 peach pies. She gives Rose 3.75 of the peach pies. How many pies does Erin have left?

Correct answer: A

Rationale: To find how many pies Erin has left, subtract 3.75 from 6.25: 6.25 - 3.75 = 2.5 peach pies. Erin has 2.5 peach pies left, which rounds down to 2 pies, making choice A the correct answer. Choices B, C, and D are incorrect because they do not reflect the correct subtraction result.

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