A car travels at 60 mph for 5 hours. How far did it travel?

Correct Answer: C

Rationale: To find the distance traveled, multiply the speed by the time: 60 mph 5 hours = 300 miles. Choice A (360 miles) and Choice D (360 miles) are incorrect as they do not accurately calculate the distance based on the given speed and time. Choice B (240 miles) is also incorrect as it underestimates the distance traveled.

Correct Answer: C

Rationale: In mathematics, converting a fraction to a decimal involves dividing the numerator by the denominator. In this case, to convert 9/10 to a decimal, you would divide 9 by 10. This division results in 0.9, which is the correct answer (Option C). Option A, 0.7, is incorrect because 9 divided by 10 is not equal to 0.7. Option B, 0.8, is also incorrect as dividing 9 by 10 gives 0.9, not 0.8. Option D, 1, is incorrect because 9 divided by 10 is not equal to 1. Educationally, understanding how to convert fractions to decimals is essential for various mathematical calculations and real-world applications. It helps in comparing quantities, performing operations, and solving problems efficiently. This skill is particularly valuable in fields like science, engineering, and finance where precise calculations are crucial. Mastering fraction to decimal conversion enhances numerical fluency and overall mathematical proficiency.

Correct Answer: C

Rationale: There are 32 ounces in a quart, so to find out how many ounces are in 4.5 quarts, you need to multiply 4.5 by 32. 4.5 quarts * 32 ounces/quart = 144 ounces. Therefore, the correct answer is 144 ounces. Choices A, B, and D are incorrect because they do not correctly calculate the conversion from quarts to ounces.

Correct Answer: D

Rationale: In this question, the correct answer is D) x = 6. To solve for x, we need to isolate x on one side of the equation. Starting with the given equation: 4x - 8 = 16 Add 8 to both sides to get: 4x = 24 Divide by 4 on both sides to find: x = 6 The correct answer is x = 6 because when you substitute x with 6 in the original equation (4(6) - 8 = 16), it satisfies the equation. Now, let's analyze why the other options are incorrect: A) x = 7: If we substitute x with 7 in the original equation, it does not satisfy the equation (4(7) - 8 ≠ 16). B) x = 7: Same as above, incorrect substitution. C) x = 4: Substituting x with 4 also does not satisfy the equation (4(4) - 8 ≠ 16). This question provides practice in solving linear equations, a fundamental math skill. Understanding how to isolate variables is crucial in solving mathematical problems accurately. Practice with such equations enhances problem-solving abilities and lays a strong foundation for more complex math concepts.

Correct Answer: A

Rationale: To convert a decimal to a fraction, place the decimal value over the place value of the last digit. In this case, 0.25 can be written as 25/100. Simplifying this fraction by dividing both the numerator and denominator by 25 gives 1/4. Therefore, 0.25 expressed as a fraction is 1/4. Choices B, C, and D are incorrect as they represent different fractional values that do not correspond to 0.25.