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What is the result of multiplying 375 by 2.3?
- A. 862.5
- B. 750
- C. 225.75
- D. 1125
Correct Answer: A
Rationale: To find the result of multiplying 375 by 2.3, you need to multiply the two numbers together. Multiplying 375 by 2.3 is calculated as 375 x 2.3 = 862.5. Therefore, the correct answer is A, which is 862.5.
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What is the result of adding: 6 3/4 + 8 1/6 = ?
- A. 14 & 11/12
- B. 12 & 3/24
- C. 35/6
- D. 14 & 2/5
Correct Answer: A
Rationale: To add the mixed numbers 6 3/4 and 8 1/6, first convert them to improper fractions. 6 3/4 becomes 27/4, and 8 1/6 becomes 49/6. When you add these fractions, you get 76/6, which simplifies to 12 & 2/3. Converting 12 & 2/3 back to a mixed number gives 14 & 11/12. Therefore, the correct sum of 6 3/4 + 8 1/6 is 14 & 11/12.
If 5 is to 30 as X is to 1, find the value of X. (Round to the nearest tenth.)
- A. 6
- B. 5.5
- C. 5
- D. 4.5
Correct Answer: A
Rationale: To find the value of X, set up a proportion: 5/30 = X/1. Cross-multiply to get 5 = 30X. Divide both sides by 30, which gives X = 5/30 = 0.1667. When rounded to the nearest tenth, X is 0.2, which is equivalent to 6 when rounded to a whole number. Therefore, the value of X is 6.
Calculate the product: (88)(7.08) =
- A. 862.5
- B. 88.04
- C. 64.252
- D. 623.04
Correct Answer: D
Rationale: To find the product of two numbers, you multiply them together. In this case, (88)(7.08) equals 623.04. To calculate this, you multiply 88 by 7.08. This results in 623.04. Therefore, the correct answer is D, 623.04.
Subtract 7 7/10 - 3 4/5 =
- A. 4 1/10
- B. 11 1/2
- C. 4 3/5
- D. 3 9/10
Correct Answer: D
Rationale: To subtract mixed numbers, you need to convert them to improper fractions. So, 7 7/10 = 77/10 and 3 4/5 = 19/5. Subtracting these fractions, you get 77/10 - 19/5 = 77/10 - 38/10 = 39/10. Converting 39/10 back to a mixed number, you get 3 & 9/10, which is the correct answer.
Ratio and Proportion: 4:10 :: 5:X
- A. X = 10.5
- B. X = 20
- C. X = 12.5
- D. X = 25
Correct Answer: C
Rationale: To solve for X in the given ratio and proportion, set up the proportion: (4/10) = (5/X). Cross-multiply to get 4X = 50, leading to X = 12.5. So, the correct answer is X = 12.5, making choice C the correct option.