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Mary makes $202.48 in an 8-hour shift. How much will she make if she works a 12-hour shift? (Enter numeric value only.)
- A. $253.10
- B. $278.45
- C. $303.72
- D. $315.60
Correct Answer: C
Rationale: To find Mary's earnings for a 12-hour shift, you can set up a proportion:
8 hours = $202.48
12 hours = x
Cross multiply:
8 * x = 12 * $202.48
8x = $2429.76
x = $2429.76 / 8
x = $303.72
Therefore, Mary will make $303.72 if she works a 12-hour shift. Other choices are incorrect because they do not match the calculated value based on the given information. Option A is lower, Option B is higher, and Option D is significantly higher than the correct answer.
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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.
1.2:x::14:42 =
- A. 0.6
- B. 3.6
- C. 1.2
- D. 2.4
Correct Answer: B
Rationale: To solve this proportion, we use the property that the product of the means is equal to the product of the extremes. In this case, we have 1.2 * 42 = 14 * x. Simplifying, we get 50.4 = 14x. To find the value of x, we divide both sides by 14, giving x = 50.4 / 14 = 3.6. Therefore, the correct answer is 3.6, which corresponds to option B. This means that the relationship between 1.2 and x is the same as the relationship between 14 and 42, following a proportional logic where the ratios are equivalent.
What is 7/8 + 9/10 + 6/5 as a mixed number?
- A. 3 22/23
- B. 3 39/40
- C. 22/23
- D. 2 39/40
Correct Answer: A
Rationale: To add these fractions, first find a common denominator, which is 40 in this case. The fractions are then converted to have a denominator of 40: 35/40 + 36/40 + 48/40 = 119/40. On simplification, 119/40 equals 2 39/40. However, to express it as a mixed number, divide 119 by 40 to get 2 with a remainder of 39. Therefore, the correct mixed number form is 3 22/23.
Identify the number that represents the largest amount.
- A. 95%
- B. 1.25%
- C. 16.25%
- D. 73.90%
Correct Answer: A
Rationale: Correct Answer: A
Rationale:
To identify the largest amount, we look for the highest percentage value. 95% is the highest among the given choices.
Summary:
- Choice B (1.25%) is the smallest percentage.
- Choice C (16.25%) is higher than choice B but not the largest.
- Choice D (73.90%) is lower than choice A, making it incorrect.
In conclusion, 95% (Choice A) represents the largest amount among the options provided.
Ratio and Proportion: 0.3:2 = 15:X (Enter numeric value only.)
- A. 50
- B. 75
- C. 100
- D. 125
Correct Answer: C
Rationale: To find the value of X, first, we need to set up a proportion using the given equation: 0.3/2 = 15/X. Cross multiply to solve for X: 0.3X = 2 * 15. Simplify to get 0.3X = 30. Divide by 0.3 to solve for X: X = 30 / 0.3 = 100. Therefore, the correct answer is C. Choice A (50), B (75), and D (125) are incorrect as they do not satisfy the proportion equation given. A summary of the incorrect choices: A is too low, B is also too low, and D is too high compared to the correct answer of 100.