if y 4 and x 3 solve yx3
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Nursing Elites

HESI A2

HESI A2 Quizlet Math

1. If y = 4 and x = 3, solve y x³

Correct answer: B

Rationale: With y = 4 and x = 3, the expression is y × x³. Substituting the values, we get 4 × 3³ = 4 × 27 = 108. Therefore, the correct answer is 108. Option A (-108) is incorrect because the negative sign is not part of the result. Option C (27) is incorrect as it only represents x³ without considering the value of y. Option D (4) is incorrect as it represents the initial value of y, not the result of y × x³.

2. Solve for x: x + 44 / 2x = 11.

Correct answer: A

Rationale: To solve the equation x + 44 / 2x = 11, first, divide 44 by 2x to simplify it to x + 22/x = 11. Multiply through by x to clear the fraction, resulting in x^2 + 22 = 11x. Rearrange the terms to get x^2 - 11x + 22 = 0. Factor the quadratic equation to (x - 11)(x - 2) = 0. Therefore, x = 11 or x = 2. However, x cannot be 2 as it would make the denominator zero. Hence, x = 13. The correct answer is 13. Choice B (33) is incorrect as it is not a solution to the equation. Choice C (55) is incorrect as it is not a solution to the equation. Choice D (2.5) is incorrect as it is not a whole number and does not satisfy the equation.

3. How many ounces are in 3/4 pints?

Correct answer: A

Rationale: To find the number of ounces in 3/4 pints, we need to know that 1 pint is equal to 16 ounces. Therefore, 3/4 of a pint would be 3/4 * 16 = 12 ounces. The correct answer is 12 ounces because 3/4 pints is equivalent to 12 ounces. Choices B, C, and D are incorrect as they do not accurately calculate the conversion from pints to ounces.

4. What is 70% of 200?

Correct answer: D

Rationale: To find 70% of a number, you multiply the number by 0.70. Therefore, 70% of 200 is calculated as 0.7 × 200 = 140. Choices A, B, and C are incorrect as they do not represent the correct calculation for finding 70% of 200.

5. A hospital day staff consists of 25 registered nurses, 75 unlicensed assistants, five phlebotomists, six receptionists and office staff, and 45 physicians. One summer day the staff was at only 68% strength. How many people were working that day?

Correct answer: A

Rationale: To find the total number of staff members, sum up the different roles: 25 (nurses) + 75 (assistants) + 5 (phlebotomists) + 6 (office staff) + 45 (physicians) = 156 total staff. Then, calculate 68% of the total staff: 156 × 0.68 = 106.08, which is approximately 106 people. Therefore, 106 people were working that day. Choice A is correct. Choices B, C, and D are incorrect as they do not reflect the accurate calculation based on the given information.

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