if latoya spends 15 minutes every day practicing her flute how much time does she spend practicing over a period of two weeks
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HESI A2

HESI A2 Math 2024

1. If Latoya spends 15 minutes every day practicing her flute, how much time does she spend practicing over a period of two weeks?

Correct answer: C

Rationale: Latoya practices her flute for 15 minutes every day. In two weeks (14 days), the total time spent practicing can be calculated as 15 minutes/day * 14 days = 210 minutes. To convert 210 minutes to hours, divide by 60 (since there are 60 minutes in an hour): 210 / 60 = 3 hours 30 minutes. Therefore, Latoya spends 3 hours 30 minutes practicing her flute over a period of two weeks. Choices A, B, and D are incorrect because they do not accurately calculate the total time Latoya spends practicing over two weeks.

2. Solve: 8x = x^2.

Correct answer: C

Rationale: To solve the equation 8x = x^2, rearrange it to x^2 - 8x = 0. Factor out an x to get x(x - 8) = 0. Set each factor to zero to find the solutions: x = 0 or x = 8. Therefore, x = 16 is the correct answer because x = 0 is not in the answer choices, and x = 8 is a distraction meant to confuse. Thus, choice C, 16, is the correct solution to the equation.

3. Express the ratio of 13:60 as a percentage.

Correct answer: B

Rationale: To express the ratio 13:60 as a percentage, calculate the decimal form of the ratio by dividing 13 by 60: 13/60 ≈ 0.2167. Next, convert this decimal to a percentage by multiplying by 100: 0.2167 x 100 = 21.67%. Choice A, 19.50%, is incorrect as it does not accurately represent the ratio. Choice C, 25.50%, and Choice D, 31%, are also incorrect calculations of the percentage equivalent of the ratio 13:60.

4. How many pounds are in 48 ounces?

Correct answer: A

Rationale: To convert ounces to pounds, you need to know that there are 16 ounces in a pound. Therefore, to find out how many pounds are in 48 ounces, you divide 48 by 16: 48 ÷ 16 = 3 pounds. This means that 48 ounces is equivalent to 3 pounds. Choice B, 6 lbs, is incorrect as it doesn't correctly convert 48 ounces to pounds. Choice C, 4 lbs, is incorrect as it doesn't take into account the conversion factor of 16 ounces per pound. Choice D, 8 lbs, is also incorrect as it doesn't reflect the accurate conversion of ounces to pounds.

5. A researcher is collecting data on patient satisfaction. Out of 150 patients surveyed, 120 reported being satisfied with their care. What percentage of the patients were satisfied?

Correct answer: A

Rationale: To find the percentage of satisfied patients, divide the number of satisfied patients by the total number of patients surveyed and multiply by 100. In this case, 120 (satisfied patients) ÷ 150 (total patients surveyed) x 100 = 80%. Therefore, 80% of the patients were satisfied. Choice B (75%), C (85%), and D (90%) are incorrect percentages as the actual percentage of satisfied patients is 80%.

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