What is the result of subtracting 3.54 from 27?
- A. 24.46
- B. 23.46
- C. 33.3
- D. 24.54
Correct Answer: B
Rationale: To find the result of subtracting 3.54 from 27, you need to subtract 3.54 from 27. The correct calculation is 27 - 3.54, which equals 23.46. Therefore, the correct answer is B, 23.46. When subtracting a smaller number from a larger number, the result will be smaller than the original number. In this case, 27 - 3.54 results in 23.46. It's essential to pay attention to the decimal places and perform the subtraction accurately to arrive at the correct answer.
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Round to the nearest percentage point: Gerald made 13 out of the 22 shots he took in the basketball game. What was his shooting percentage?
- A. 13%
- B. 22%
- C. 59%
- D. 67%
Correct Answer: C
Rationale: To calculate Gerald's shooting percentage, divide the number of shots made (13) by the total shots taken (22) to get the fraction of shots made. Then, multiply this fraction by 100 to convert it to a percentage. The calculation is (13/22) * 100 = 0.59 * 100 = 59%. Therefore, Gerald's shooting percentage is 59%, which corresponds to choice C.
How do you change 12.5% to a decimal?
- A. 1.25
- B. 0.125
- C. 0.0125
- D. 12.5
Correct Answer: B
Rationale: To convert a percentage to a decimal, divide by 100. In this case, to change 12.5% to a decimal, you divide 12.5 by 100, which equals 0.125. Therefore, the correct answer is B) 0.125.
Express 0.025 as a ratio.
- A. 1:40
- B. 4:1
- C. 400:1
- D. 26:40:00
Correct Answer: A
Rationale: To convert 0.025 to a ratio, you first convert the decimal to a fraction by writing it as 25/1000, which simplifies to 1/40. Therefore, the correct ratio for 0.025 is 1:40. When expressing decimals as ratios, it's important to remember to simplify the fraction to its simplest form. In this case, 1:40 is the simplest form of the ratio for 0.025, making it the correct answer choice.
Subtract: 12 1/8 - 9 1/2 =
- A. 2 5/8
- B. 2 1/8
- C. 3 3/8
- D. 3 5/8
Correct Answer: A
Rationale: To solve this problem, first convert the mixed numbers to improper fractions. 12 1/8 can be written as 97/8, and 9 1/2 can be written as 19/2. Ensure a common denominator (8) by rewriting 19/2 as 76/8. Now, subtract the fractions: 97/8 - 76/8 = 21/8 = 2 5/8. Therefore, the correct answer is 2 5/8.
Ratio and proportion: 0.8:10 :: x:100
- A. x = 0.8
- B. x = 80
- C. x = 800
- D. x = 8
Correct Answer: D
Rationale: To solve this proportion problem, start by setting up the given ratio 0.8:10 as a fraction, which is 0.8/10. Then, set this fraction equal to the unknown ratio x:100, represented as x/100. Cross multiplying gives us 0.8 * 100 = 10x. Simplifying the equation, we get 80 = 10x. Solving for x, x = 80/10 = 8. Therefore, the correct answer is D, as x equals 8, not 0.8, 80, or 800.
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