HESI A2
HESI A2 Quizlet Math
1. What is the cost of building a fence around a square lawn with an area of 62,500 square meters at a rate of $5 per meter?
- A. $4,000
- B. $4,500
- C. $5,000
- D. $5,500
Correct answer: C
Rationale: To determine the cost of building a fence around the square lawn, first calculate the length of one side by finding the square root of the area: √62500 = 250 meters (length of one side). The perimeter of a square is four times the length of one side, so the perimeter of the lawn is 4 * 250 = 1000 meters. To find the cost of the fence, multiply the perimeter by the cost per meter: 1000 meters * $5/meter = $5000. Therefore, the correct answer is $5,000, which corresponds to choice C. Choice A ($4,000), choice B ($4,500), and choice D ($5,500) are incorrect as they do not accurately calculate the cost based on the given information.
2. How many meters are in 5 kilometers?
- A. 1000
- B. 5000
- C. 10000
- D. 500
Correct answer: B
Rationale: To convert kilometers to meters, you need to multiply the number of kilometers by 1000 since there are 1000 meters in 1 kilometer. Therefore, 5 kilometers is equal to 5 × 1000 = 5000 meters. Choice A (1000) is incorrect because it represents the number of meters in 1 kilometer, not 5 kilometers. Choice C (10000) is incorrect as it is the result of multiplying 10 (not 5) by 1000. Choice D (500) is incorrect as it represents half the correct conversion value.
3. Subtract 12 1/8 - 9 1/2.
- A. 2 5/8
- B. 3 1/8
- C. 4 1/2
- D. 4 2/3
Correct answer: A
Rationale: To subtract mixed numbers, first subtract the fractions: 1/8 - 1/2 = -3/8. Then, subtract the whole numbers: 12 - 9 = 3. Combine the whole number and fraction: 3 - 3/8 = 2 5/8. Therefore, the correct answer is A. Choice B is incorrect because it does not reflect the correct subtraction of the fractions. Choices C and D are incorrect as they do not result from the correct subtraction process outlined above.
4. Jill saved $140 out of the $400 she earned in one month. What percent of her earnings did she save?
- A. 30%
- B. 35%
- C. 40%
- D. 25%
Correct answer: B
Rationale: To calculate the percentage of her earnings that Jill saved, divide the amount saved ($140) by the total earnings ($400) and then multiply by 100 to find the percentage. Therefore, (140/400) * 100 = 35%. Jill saved 35% of her earnings. Choice A (30%) is incorrect because it underestimates the percentage saved. Choice C (40%) is incorrect as it overestimates the percentage saved. Choice D (25%) is incorrect for the same reason. The correct calculation is 140/400 = 0.35 * 100 = 35%.
5. Change 0.015 to a fraction.
- A. 3/200
- B. 3/2000
- C. 15/1000
- D. 3/100
Correct answer: A
Rationale: To convert 0.015 to a fraction, we can rewrite it as 15/1000. Simplifying this fraction, we get 3/200. Therefore, the correct answer is A. Choice B (3/2000) is incorrect as the decimal 0.015 is equivalent to 15/1000, not 15/2000. Choice C (15/1000) is the initial form of 0.015 as a fraction, but it can be further simplified to 3/200. Choice D (3/100) is incorrect as it does not represent the decimal 0.015.
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