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

Questions 62

HESI A2

HESI A2 Test Bank

HESI A2 Quizlet Math Questions

Question 1 of 5

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.

Question 2 of 5

If 3 books cost $4, how much will 6 books cost?

Correct Answer: A

Rationale: To find the cost of 1 book, divide the total cost by the number of books: $4 / 3 = $1.33 per book. To determine the cost of 6 books, multiply the cost per book by 6: $1.33 * 6 = $8. Therefore, purchasing 6 books will cost $8. Choice B, $12, is incorrect as it incorrectly doubles the cost of 3 books. Choice C, $6, is incorrect as it is half the cost of 3 books. Choice D, $10, is incorrect as it does not accurately calculate the cost of 6 books based on the given information.

Question 3 of 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.

Question 4 of 5

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.

Question 5 of 5

Last night at the hospital, 76 babies were born. Of the births, 45% were girls. How many boys were born last night? (Round your numbers to the nearest whole number).

Correct Answer: A

Rationale: When 45% of the babies were girls, it means the remaining 55% were boys. To determine the number of boys, calculate 55% of 76, which equals approximately 41.8, rounding up to 42. Therefore, 42 boys were born last night at the hospital. Choice B, C, and D are incorrect as they do not reflect the accurate calculation of the number of boys born.

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