98 is 175 of what number
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HESI A2

HESI A2 Math 2024

1. What number is 98 175% of?

Correct answer: D

Rationale: To find the number that 98 is 175% of, we can set up the equation: x = 1.75 * x. By solving this equation, we get x = 56. Therefore, 98 is 175% of 56. Choice D, 56, is the correct answer as it represents the number that satisfies the given condition. Choices A, B, and C are incorrect as they do not result in 98 when multiplied by 1.75.

2. Donna has 4.2 liters of fertilizer. If each pecan tree needs 0.7 liters of fertilizer and Donna uses all the fertilizer, how many pecan trees does Donna have?

Correct answer: A

Rationale: To find the number of trees, divide the total amount of fertilizer (4.2 liters) by the amount needed for each tree (0.7 liters). 4.2 / 0.7 = 6 trees. Therefore, Donna has 6 pecan trees. Choice A is correct because the calculation is done accurately. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given information.

3. If his distribution cost is $10, what will be his profit?

Correct answer: B

Rationale: To calculate profit, we subtract the total distribution cost from the revenue. Given that the revenue is $30, the calculation is as follows: Profit = Revenue - Distribution Cost. Therefore, Profit = $30 - $10 = $20. Hence, the profit will be $19.60. Choice A is incorrect as it incorrectly adds the distribution cost to the revenue. Choice C is incorrect as it does not consider the distribution cost. Choice D is incorrect as it overestimates the profit by adding the distribution cost again to the correct profit amount.

4. How many gallons are in 3 fluid ounces?

Correct answer: A

Rationale: To convert fluid ounces to gallons, you need to divide the number of fluid ounces by 128 because there are 128 fluid ounces in 1 gallon. Therefore, 3 fluid ounces ÷ 128 equals approximately 0.0234 gallons. Choice A is correct. Choice B (0.5 gallons) is incorrect as it is equivalent to 64 fluid ounces, not 3. Choice C (0.38 gallons) and Choice D (0.12 gallons) are also incorrect conversions of 3 fluid ounces to gallons.

5. Alan is making a table. The table will be 6 1/2 feet long and 4 feet wide. The board for the table is 7 7/8 feet long and 4 feet wide. How much of the board will Alan need to cut off?

Correct answer: A

Rationale: To determine how much board Alan needs to cut off, subtract the length of the table from the length of the board: 7 7/8 - 6 1/2 = 1 3/8. Therefore, Alan needs to cut off 1 3/8 feet from the board. Choice A is correct. Choice B (2) is incorrect because the subtraction result is 1 3/8, not 2. Choice C (7/8) is incorrect as it represents only the fraction part of the answer, not the whole amount. Choice D (3/4) is incorrect as it is a different fraction value than the result of the subtraction.

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