15x38 find x
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HESI A2

HESI A2 Practice Test Math

1. Given 15:x=3:8, find x.

Correct answer: A

Rationale: To find x, we set up the proportion 15:x = 3:8. Cross multiply to get 15*8 = 3*x, which simplifies to 120 = 3x. Dividing by 3 on both sides gives x = 40. Therefore, x=40 is the correct answer. Choices B, C, and D are incorrect because they do not match the correct calculation. Option B results from incorrectly dividing 15 by 3 instead of multiplying it by 8. Option C comes from dividing 15 by 3, and Option D is the result of dividing 15 by 8 instead of multiplying by 3.

2. What is 33% of 300?

Correct answer: D

Rationale: To find 33% of 300, you multiply 300 by 0.33 (which is the decimal equivalent of 33%). 300 * 0.33 = 99. Therefore, 33% of 300 equals 99. Choice A (3) is incorrect as it is too small for 33% of 300. Choice B (9) is incorrect as it does not reflect the correct calculation for finding 33% of 300. Choice C (33) is incorrect as it represents the percentage value itself, not the result of calculating 33% of 300.

3. What is the result of subtracting 2 5/8 from 7/8?

Correct answer: A

Rationale: To subtract 2 5/8 from 7/8, first, convert 7/8 to an equivalent fraction with the same denominator as 2 5/8, which is 8. 7/8 equals 1 whole and 1/8. Subtracting 1 whole from 2 whole results in 1 whole, and subtracting 1/8 from 5/8 gives 4/8 or 1/2. Therefore, the answer is 1 1/2, which simplifies to 1 3/4. Choice B, 2, is incorrect as it doesn't represent the correct result of the subtraction. Choice C, 1, is incorrect as it doesn't account for the fractional part of the answer. Choice D, 2 & 1/2, is incorrect as it doesn't match the calculated result of 1 3/4.

4. What is the boiling point of water in degrees Fahrenheit?

Correct answer: C

Rationale: The correct answer is C: '212°F.' The boiling point of water at standard atmospheric pressure is 212°F. This is the temperature at which water transitions from a liquid to a gas phase, known as boiling. It is a fundamental property of water and a crucial point to remember for various applications in science and everyday life. Choice A (100°F) is the boiling point of water in degrees Celsius, not Fahrenheit. Choice B (200°F) and Choice D (250°F) are not correct boiling points for water at standard atmospheric pressure.

5. The individual is completing their time sheet. They worked 8 ½ hours on Monday, 8 hours on Tuesday, 6 ¾ hours on Wednesday, and 9 hours each on the last two days of the week. If their hourly pay rate is $15.65, how much would their gross pay be for that week?

Correct answer: A

Rationale: To calculate the total hours worked, add 8.5 + 8 + 6.75 + 9 + 9, which equals 41.25 hours. To determine the gross pay, multiply the total hours worked (41.25) by the hourly rate ($15.65): 41.25 * $15.65 = $645.56. This precise calculation ensures accurate compensation for the hours worked, emphasizing the importance of financial accuracy in payroll management. Choice B, C, and D are incorrect as they do not result from the accurate calculation of total hours worked multiplied by the hourly rate, providing a good illustration of the consequences of miscalculations in payroll processing.

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