How many pounds are in 144 ounces?

Correct Answer: D

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 144 ounces, you divide 144 by 16, which equals 9 pounds. Choice A, 12 pounds, is incorrect because it does not correctly divide the number of ounces by the conversion factor. Choices B and C, 10 pounds and 8 pounds respectively, are also incorrect as they do not utilize the correct conversion factor to calculate the number of pounds in 144 ounces.

Correct Answer: D

Rationale: In this question, the correct answer is D) 140, which represents 70% of 200. To explain why this is the correct choice, we need to understand how to calculate percentages. To find a certain percentage of a number, you multiply the number by the percentage in decimal form. In this case, 70% as a decimal is 0.70. So, 0.70 x 200 = 140. Now, let's examine why the other options are incorrect: A) 100 - This is incorrect because 100 is not 70% of 200. B) 100 - This is a duplicate answer and incorrect for the same reason as option A. C) 200 - This is incorrect because 200 is the total amount, not 70% of it. Educationally, understanding how to calculate percentages is a fundamental math skill. It is important for various real-life applications like calculating discounts, tips, taxes, and understanding data in fields such as science and economics. Mastering percentage calculations enhances numeracy skills and critical thinking, which are essential for success in academic and professional settings. Practicing with questions like these helps reinforce the concept and improves problem-solving abilities.

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: A

Rationale: In this question, the correct answer is A) 1/6. To understand why this is the correct answer, let's break it down. A six-sided die has 6 possible outcomes (numbers 1 through 6). Since we are looking for the probability of getting a 1 on a six-sided die, there is only 1 favorable outcome (rolling a 1) out of a total of 6 possible outcomes. Therefore, the probability of rolling a 1 is 1 out of 6, which is represented as 1/6. Now, let's analyze why the other options are incorrect: B) 1/4: This is incorrect because the probability of rolling a 1 on a six-sided die is not 1 out of 4. There are 6 sides on a die, so the denominator should be 6, not 4. C) 1/3: This is incorrect because the probability of rolling a 1 on a six-sided die is not 1 out of 3. As explained earlier, there is only 1 favorable outcome out of 6. D) 1/2: This is incorrect because the probability of rolling a 1 on a six-sided die is not 1 out of 2. Again, there is only 1 favorable outcome out of 6, not 2. In an educational context, understanding probability is essential in various fields such as mathematics, statistics, and even in everyday decision-making. Knowing how to calculate probabilities helps in making informed choices and predictions based on data. This question tests the fundamental concept of probability using a simple scenario of rolling a die, reinforcing the importance of understanding basic principles before tackling more complex problems.

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.