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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.
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Solve for X: 2X + 90 = 270. (Enter the numerical value only, rounded to the nearest whole number.)
- A. 90
- B. 80
- C. 75
- D. 100
Correct Answer: A
Rationale: To solve for X, first subtract 90 from both sides: 2X = 270 - 90, which simplifies to 2X = 180. Then, divide by 2: X = 180/2 = 90. Therefore, the correct answer is A) 90.
What is 54% of $789.56?
- A. $426.37
- B. $363.20
- C. $426.36
- D. $526.38
Correct Answer: C
Rationale: To find 54% of $789.56, you need to multiply $789.56 by 0.54 (which represents 54% as a decimal). $789.56 * 0.54 = $426.36. Therefore, the correct answer is $426.36. When calculating a percentage of a number, you convert the percentage to a decimal by dividing by 100 (54% = 54/100 = 0.54) and then multiply it by the number to find the result. In this case, converting 54% to a decimal gives 0.54, and then multiplying by $789.56 gives the answer of $426.36.
Multiply: 2/3 x 3/5 =
- A. 3/4
- B. 1/3
- C. 2/5
- D. 11/9
Correct Answer: C
Rationale: To multiply fractions, multiply the numerators and the denominators: (2 x 3) / (3 x 5) = 6/15. Simplifying gives 2/5. Thus, the correct answer is C) 2/5.
A recipe calls for 1 1/2 cups of milk. This recipe calls for how many ounces of milk? (Enter numeric value only.)
- A. 8
- B. 10
- C. 12
- D. 16
Correct Answer: C
Rationale: Correct Answer: C (12 ounces)
Rationale:
1 1/2 cups of milk is equivalent to 12 ounces. To convert cups to ounces, we know that 1 cup equals 8 ounces. Therefore, 1 1/2 cups is 1 cup (8 oz) + 1/2 cup (4 oz) = 12 ounces in total.
Summary:
A: 8 ounces - Incorrect, 1 cup is 8 ounces, but this recipe requires 1 1/2 cups.
B: 10 ounces - Incorrect, not the correct conversion for 1 1/2 cups of milk.
D: 16 ounces - Incorrect, this is double the amount needed in the recipe.
Therefore, the correct answer is C (12 ounces) as it accurately converts 1 1/2 cups of milk to ounces.
If the quotient of X and 12 is 4, what is the divisor?
- A. X+12
- B. X-12
- C. 4
- D. 3
Correct Answer: C
Rationale: To find the divisor when the quotient of X and 12 is 4, we use the formula for division: Dividend = Divisor x Quotient. Given that the quotient is 4 and Dividend = X, we have X = 12 x 4 = 48. Therefore, the divisor is the number that, when multiplied by 4, equals 48, which is 12. So, the correct answer is C: 4.
Choice A (X+12) is incorrect because it represents adding X and 12 together, not the divisor.
Choice B (X-12) is incorrect because it represents subtracting 12 from X, not the divisor.
Choice D (3) is incorrect because it is not related to the given information about X and the quotient being 4.