how many yards are in a mile
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HESI A2

HESI A2 Math Practice Exam

1. How many yards are in a mile?

Correct answer: A

Rationale: The correct answer is A: 1,760. According to the standard distance conversion, there are 1,760 yards in a mile. This conversion is widely accepted and used in various fields. Choice B, 1,700, is incorrect as it does not correspond to the standard conversion. Choice C, 1,800, represents a different value and is therefore incorrect. Choice D, 1,750, is not the accurate conversion for yards in a mile and is incorrect.

2. How many pints are there in 4 quarts?

Correct answer: B

Rationale: To convert quarts to pints, we know that 1 quart is equivalent to 2 pints. Therefore, to find out how many pints are in 4 quarts, we multiply 2 pints by 4, which equals 8 pints. Hence, the correct answer is 8 pints. Choice A (2 pints) is incorrect because it represents the conversion of 1 quart, not 4 quarts. Choice C (16 pints) and Choice D (32 pints) are incorrect as they miscalculate the conversion by not considering the correct conversion factor of 2 pints per quart.

3. Find x if 40:5 = 60:x.

Correct answer: B

Rationale: To find x in the proportion 40:5 = 60:x, set up the equation: 40/5 = 60/x. Cross-multiply to solve for x: 40x = 60 * 5 => 40x = 300. Divide by 40 to isolate x: x = 300 / 40 = 7.5. However, x should be a whole number since it represents a quantity, so x = 7. Therefore, the correct answer is 7 (B). Choices A, C, and D are incorrect as they do not satisfy the proportion equation.

4. How many pounds are in 192 ounces?

Correct answer: C

Rationale: To convert ounces to pounds, divide the number of ounces by 16 since there are 16 ounces in a pound. Therefore, 192 ounces รท 16 = 12 pounds. Choice A, 16 pounds, is incorrect because it does not represent the correct conversion from ounces to pounds. Choice B, 10 pounds, is incorrect as it is not the result of dividing 192 ounces by 16. Choice D, 16 pounds, is the same as choice A and is incorrect in the context of this conversion.

5. Solve for x: 5x + 10 = 20.

Correct answer: A

Rationale: To solve the equation 5x + 10 = 20, first subtract 10 from both sides to isolate the term with x: 5x = 10. Then, divide by 5 on both sides to find the value of x: x = 2. Therefore, the correct answer is A. Choice B is incorrect because x is not equal to 2 but 4. Choice C is incorrect as x is not equal to 5. Choice D is incorrect as x is not equal to 7.

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