HESI A2
HESI A2 Quizlet Math
1. 81:X::9:27. Find X.
- A. 3
- B. 27
- C. 21
- D. 9
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.
2. How many ounces are in 3/4 pints?
- A. 12 ounces
- B. 16 ounces
- C. 14 ounces
- D. 10 ounces
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.
3. Convert the fraction 7/8 into a decimal and percent.
- A. Decimal: 0.875, Percent: 87.5%
- B. Decimal: 0.78, Percent: 78%
- C. Decimal: 0.88, Percent: 88%
- D. Decimal: 0.90, Percent: 90%
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. Solve for x if x=11. x+(44/2x)
- A. 2.5
- B. 33
- C. 55
- D. 13
Correct answer: A
Rationale: Substitute x=11 into the expression: 11 + (44 / 2*11) = 11 + (44 / 22) = 11 + 2 = 13 Therefore, the correct answer is 13. Choice A (2.5) is incorrect as the correct result is 13, not 2.5. Choice B (33) is incorrect because it does not result from the given expression. Choice C (55) is incorrect as it does not match the calculated value. Choice D (13) is incorrect because the correct solution is 13, not 2.5.
5. If a student earns $120 for a 10-hour tutoring session and works 6 hours, how much did the student earn?
- A. $72
- B. $90
- C. $80
- D. $50
Correct answer: A
Rationale: To find the amount earned for 6 hours of work, calculate the hourly rate by dividing the total earnings ($120) by the total hours worked (10 hours): $120 ÷ 10 = $12 per hour. Then, multiply the hourly rate by the number of hours worked (6): $12 × 6 = $72. Therefore, the student earned $72 for working 6 hours. Choice B ($90) is incorrect because it miscalculates the hourly rate. Choice C ($80) is incorrect as it does not consider the correct hourly rate. Choice D ($50) is incorrect as it calculates the earnings based on the wrong hourly rate.
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