express the ratio of 1360 as a percentage
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HESI A2

HESI A2 Math 2024

1. 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.

2. If a marathon runner burns 2276 calories in 21.4 miles, what is their rate of calories burned per mile?

Correct answer: B

Rationale: To find the rate of calories burned per mile, divide the total calories burned by the total miles run: 2276 ÷ 21.4 ≈ 106.4 calories per mile. This calculation gives the average number of calories burned for each mile of the marathon. Choice A, 107.5, is incorrect as it does not match the precise calculation result. Choices C and D are also incorrect as they are not the accurate rate of calories burned per mile based on the given data.

3. How many chickens are needed to produce 24 eggs in 24 hours if it takes 2 chickens to produce 6 eggs in 24 hours?

Correct answer: A

Rationale: To produce 24 eggs in 24 hours, 4 times the number of chickens needed to produce 6 eggs is required. Since it takes 2 chickens to produce 6 eggs, 8 chickens are needed to produce 24 eggs in the same time frame. Choice B, 12 chickens, is incorrect because it doesn't consider the proportionality between chickens and eggs. Choice C, 18 chickens, is incorrect as it overestimates the number of chickens needed. Choice D, 6 chickens, is incorrect as it doesn't account for the increased number of eggs required.

4. A group of 8 friends went out to eat at a restaurant. They decided to split the bill evenly. If the bill totaled $120, how much did each friend pay?

Correct answer: A

Rationale: To determine how much each friend paid, divide the total bill amount by the number of friends. In this scenario, $120 ÷ 8 friends = $15. Therefore, each friend paid $15. Choice B ($10) is incorrect because dividing $120 by 8 does not yield $10. Choice C ($12) is incorrect because dividing $120 by 8 does not yield $12. Choice D ($20) is incorrect because dividing $120 by 8 does not yield $20.

5. Convert this military time to regular time: 1310 hours.

Correct answer: D

Rationale: In military time, 1310 hours is equivalent to 1:10 P.M. However, in regular time, the conversion should have a colon between the hour and minutes, so the correct conversion is 1:31 P.M. Choice A (1:10 A.M.) and Choice C (1:31 A.M.) are incorrect as they both represent A.M. hours, while 1310 hours is in the afternoon (P.M.). Choice B (1:10 P.M.) is incorrect as it represents the hour correctly but lacks the accurate minutes representation.

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