how many inches is 2 yards
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HESI A2

HESI A2 Quizlet Math

1. How many inches are in 2 yards?

Correct answer: D

Rationale: To convert yards to inches, remember that there are 36 inches in a yard. Therefore, when you have 2 yards, multiplying 36 inches by 2 results in 72 inches. Choice A, 36 inches, is the number of inches in 1 yard, not 2 yards. Choice B, 48 inches, and Choice C, 60 inches, are incorrect calculations based on the conversion factor of 36 inches per yard.

2. What is 28% of 100?

Correct answer: A

Rationale: The correct answer is A: 28. To find 28% of 100, you multiply 0.28 (the decimal equivalent of 28%) by 100. This calculation results in 28. Therefore, 28% of 100 is 28. Choice B, 20, is incorrect as it represents 20% of 100. Choice C, 25, is incorrect as it represents 25% of 100. Choice D, 30, is incorrect as it represents 30% of 100.

3. Solve for x. x/250 = 3/500

Correct answer: A

Rationale: To solve the proportion x/250 = 3/500, cross multiply to get 500x = 750. Then solve for x by dividing both sides by 500, which results in x = 1.5. Therefore, the correct answer is A. Choice B (2) is incorrect because the correct solution is 1.5, not 2. Choice C (1500) is incorrect as it does not align with the correct calculation of the proportion. Choice D (25) is incorrect and does not match the correct solution obtained by solving the proportion.

4. 81:X::9:27. Find X.

Correct answer: B

Rationale: To find X in the given proportion 81:X::9:27, you can set up the equation 81/X = 9/27. Cross-multiplying gives 81 * 27 = 9 * X, which simplifies to 2187 = 9X. Dividing both sides by 9 results in X = 27. Therefore, the correct answer is B. Choice A (3) is incorrect as it does not satisfy the proportion. Choice C (21) is incorrect as it is not the correct value to make the proportion valid. Choice D (9) is incorrect as it does not align with the proportion provided.

5. What is the probability of rolling a 3 on a six-sided die?

Correct answer: A

Rationale: The probability of rolling a specific number on a six-sided die is calculated by dividing the favorable outcomes (rolling a 3) by the total possible outcomes. In this case, there is 1 favorable outcome (rolling a 3) out of 6 total possible outcomes (numbers 1 to 6 on the die). Therefore, the probability of rolling a 3 is 1/6. Choice B (1/4), C (1/3), and D (1/2) are incorrect because they do not represent the correct calculation of the probability for rolling a 3 on a six-sided die.

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