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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, convert them to improper fractions. 7 7/10 = 77/10 and 3 4/5 = 19/5. When subtracting 77/10 - 19/5, we get 31/10, which simplifies to 3 & 1/10. Therefore, the correct answer is 3 & 9/10. The mistake in the original question was in option A, which incorrectly stated 4 & 1/10 instead of the correct answer 3 & 9/10.
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Ratio and Proportion: 240 : X = 80 : 0.8 (Enter a numeric value only.)
- A. 2.4
- B. 3.2
- C. 4
- D. 1.6
Correct Answer: A
Rationale: To solve for X, set up the proportion: 240/X = 80/0.8. Cross-multiply to get 240 — 0.8 = 80 — X, which simplifies to 192 = 80X. Dividing both sides by 80 gives X = 192/80 = 2.4. Therefore, the correct answer is A) 2.4.
If Mr. Parker owns 150 shares of stock in Stark Industries and receives $180.00 per year in dividends, how much does Mr. Rogers receive for an annual dividend if he owns 400 shares of the same company?
- A. 480
- B. 500
- C. 450
- D. 72000
Correct Answer: A
Rationale: To determine how much Mr. Rogers receives annually in dividends for his 400 shares, you can set up a proportion based on the number of shares. The ratio of dividends to shares for Mr. Parker is $180/150 = $1.20 per share. By applying this ratio to Mr. Rogers with 400 shares, the calculation would be $1.20 x 400 = $480. Therefore, the correct answer is A, $480.
Ratio and Proportion: 100: 2 :: 60 : X
- A. X = 1.6
- B. X = 2.2
- C. X = 12
- D. X = 1.2
Correct Answer: D
Rationale: To find X, set up the proportion: (100/2) = (60/X). Cross-multiply to get 100X = 120. Dividing both sides by 100 gives X = 1.2. Therefore, the correct answer is X = 1.2, which is option D.
Solve for X: X/4 = 9/X
- A. 6
- B. 8
- C. 12
- D. 18
Correct Answer: A
Rationale: To solve the equation X/4 = 9/X, cross multiply to obtain X * X = 9 * 4, which simplifies to X² = 36. Taking the square root of both sides results in X = ±6. However, in this context, X represents a positive value since negative values are not applicable in the division given. Therefore, the positive root, X = 6, is the correct solution.
20:5 = 30:x. Find the value of x. (Enter the numerical value only. Round to the nearest tenth.)
- A. 5
- B. 6
- C. 7.5
- D. 8
Correct Answer: C
Rationale: To find the value of x, set up the proportion: 20/5 = 30/x. Cross-multiply to get 20x = 150. Dividing both sides by 20 gives x = 7.5. Therefore, the value of x is 7.5 when rounded to the nearest tenth.