32 divided by 89
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HESI A2

HESI A2 Math Practice Exam

1. What is the result of 32 divided by 8/9?

Correct answer: C

Rationale: To divide by a fraction, we can multiply by its reciprocal. Therefore, dividing 32 by 8/9 is the same as multiplying 32 by 9/8, which equals 36. The correct answer is C. Choice A, 4 & 1/9, is incorrect because the result is a whole number. Choice B, 4, is incorrect as it does not consider the fraction. Choice D, 28 & 4/9, is incorrect as it is not the result of dividing 32 by 8/9.

2. If Larry can wash 50 cars in 20 minutes, how many minutes will it take him to wash 80 cars?

Correct answer: B

Rationale: To determine how many minutes it will take Larry to wash 80 cars, we first calculate his rate of washing cars per minute: 50 cars / 20 minutes = 2.5 cars per minute. To wash 80 cars, we divide the total number of cars by the cars washed per minute: 80 cars / 2.5 cars per minute = 32 minutes. Hence, it will take Larry 32 minutes to wash 80 cars. Choices A, C, and D are incorrect as they do not align with the correct calculation based on Larry's rate of washing cars.

3. Convert the fraction 7/8 into a decimal and percent.

Correct answer: A

Rationale: To convert the fraction 7/8 into a decimal, you divide 7 by 8, which equals 0.875. To express this decimal as a percentage, you multiply it by 100 to get 87.5%. Choices B, C, and D are incorrect because they do not represent the correct conversion of the fraction 7/8 into a decimal and a percent.

4. 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.

5. Find x. 120:x = 40:0.5.

Correct answer: C

Rationale: To find x, set up the proportion and solve for x: 120/x = 40/0.5. Cross multiply to get 120 * 0.5 = 40x. This simplifies to 60 = 40x. Divide by 40 to isolate x, giving x = 60/40 = 1. Therefore, the correct answer is C, which is 1. Choice A (60) is incorrect because it does not match the correct calculation. Choice B (0) is incorrect as the calculation results in x = 1, not 0. Choice D (25) is incorrect as it does not match the correct calculation of x = 1.

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