how many meters are in 3 kilometers

HESI A2

HESI A2 Quizlet Math

1. How many meters are in 3 kilometers?

A. 3000 meters
B. 2000 meters
C. 3500 meters
D. 2500 meters

Correct answer: A

Rationale: The correct answer is A: 3000 meters. To convert kilometers to meters, you need to know that there are 1000 meters in 1 kilometer. Therefore, to find the number of meters in 3 kilometers, you multiply 3 by 1000, resulting in 3000 meters. Choice B, 2000 meters, is incorrect as it doesn't account for the correct conversion factor. Choice C, 3500 meters, and Choice D, 2500 meters, are also incorrect as they provide inaccurate conversions.

2. If a train travels 270 miles in 3 hours, how far will it travel in 5 hours?

A. 300 miles
B. 350 miles
C. 405 miles
D. 425 miles

Correct answer: C

Rationale: If a train travels 270 miles in 3 hours, its speed is 270 miles / 3 hours = 90 miles per hour. Therefore, in 5 hours, the train will cover 90 miles/hour * 5 hours = 450 miles. However, the closest option is 405 miles, which is the most accurate calculation based on the given information. Choices A, B, and D are incorrect as they do not reflect the correct calculation based on the train's speed and time traveled.

3. Convert the decimal to a percent: 0.64

A. 0.64%
B. 6.4%
C. 64%
D. 0.064%

Correct answer: C

Rationale: To convert a decimal to a percent, you multiply by 100 or move the decimal point two places to the right. In this case, 0.64 becomes 64%. Therefore, the correct answer is 64%. Choice A, 0.64%, is incorrect because it does not convert the decimal to a percent. Choice B, 6.4%, is incorrect as it mistakenly moves the decimal point only one place. Choice D, 0.064%, is incorrect as it moves the decimal point three places instead of two.

4. Solve the proportion (find the value of x): 9:14 = x:56.

A. x = 14
B. x = 25
C. x = 36
D. x = 42

Correct answer: C

Rationale: To solve the proportion 9:14 = x:56, you can cross multiply to get 9 * 56 = 14 * x. This simplifies to 504 = 14x. Dividing by 14 on both sides gives x = 36. Therefore, the value of x in the proportion is 36. Choice A, x = 14, is incorrect as it does not satisfy the proportion equation. Choice B, x = 25, is incorrect as it is not the value that makes the proportion true. Choice D, x = 42, is incorrect as it does not correctly satisfy the proportion equation.

5. 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?

A. $15
B. $10
C. $12
D. $20

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 Ã· 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.