change 0025 to a ratio
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HESI A2

HESI A2 Math Practice

1. Express 0.025 as a ratio.

Correct answer: A

Rationale: To convert 0.025 to a ratio, we can express it as 25:1000 and simplify it by dividing both terms by 25, resulting in 1:40. Therefore, the correct answer is A. Choice B (4:1) and C (400:1) do not represent the correct ratio for 0.025. Choice D (26:40:00) is incorrect as it does not follow the standard ratio format of two numbers separated by a colon.

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. If Larry can wash 50 cars in 20 minutes, how many minutes will it take him to wash 80 cars?

Correct answer: B

Rationale: To determine how many minutes it will take Larry to wash 80 cars, we first calculate his rate of washing cars per minute: 50 cars / 20 minutes = 2.5 cars per minute. To wash 80 cars, we divide the total number of cars by the cars washed per minute: 80 cars / 2.5 cars per minute = 32 minutes. Hence, it will take Larry 32 minutes to wash 80 cars. Choices A, C, and D are incorrect as they do not align with the correct calculation based on Larry's rate of washing cars.

4. What is the boiling point of water?

Correct answer: A

Rationale: The correct answer is 100°C (Choice A). The boiling point of water is the temperature at which it changes from a liquid to a gas. Under normal atmospheric pressure, water boils at 100°C. Choices B, C, and D are incorrect because they do not represent the standard boiling point of water. 98°C, 99°C, and 102°C do not correspond to the temperature at which water boils under normal conditions.

5. How many meters are in 2 kilometers?

Correct answer: C

Rationale: 1 kilometer equals 1,000 meters. Therefore, 2 kilometers equals 2,000 meters. Choice A, 100 meters, is incorrect as it represents only 1/10th of a kilometer. Choice B, 200 meters, is incorrect as it represents only 1/5th of a kilometer. Choice D, 3000 meters, is incorrect as it miscalculates the conversion from kilometers to meters.

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