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How many ounces are equivalent to 3 gallons?
- A. 256 oz.
- B. 42 oz.
- C. 128 oz.
- D. 384 oz.
Correct Answer: D
Rationale: To convert gallons to ounces, you need to know that 1 gallon is equal to 128 ounces. Therefore, to find out how many ounces are in 3 gallons, you multiply 3 (gallons) by 128 (ounces per gallon) which equals 384 ounces. Hence, the correct answer is 384 oz.
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Ratio and Proportion: 200:2::20:X (Enter numeric value only.)
- A. 2
- B. 0.2
- C. 4
- D. 10
Correct Answer: B
Rationale: Correct Answer: B (0.2)
Rationale:
To solve this proportion problem, we can set up the equation:
200/2 = 20/X
Simplify the left side:
100 = 20/X
Cross multiply to solve for X:
100X = 20
Divide by 100 to isolate X:
X = 20/100
X = 0.2
Summary:
- Choice A (2) is incorrect as it does not match the calculated value of X.
- Choice C (4) is incorrect as it is not the correct answer derived from the proportion.
- Choice D (10) is incorrect as it does not align with the calculated value of X.
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.
Report all decimal places: 3.7 + 7.289 + 4 =
- A. 14.989
- B. 5.226
- C. 15
- D. 15.07
Correct Answer: A
Rationale: To find the sum of 3.7, 7.289, and 4, add them together: 3.7 + 7.289 + 4 = 14.989. The correct answer is A, 14.989, as it accurately reports all decimal places in the sum. When adding numbers with decimal points, it is crucial to maintain the decimal precision to obtain the correct result. In this case, the sum includes three decimal places, so the answer should also have three decimal places to represent the precise result. Therefore, 14.989 is the accurate sum that includes all the decimal places present in the numbers being added.
Multiply: 3 2/11 x 2 1/5, reduced to lowest terms =
- A. 5 3/16
- B. 6 2/55
- C. 385/55
- D. 7
Correct Answer: D
Rationale: To multiply mixed numbers, convert them to improper fractions. 3 2/11 = 35/11, 2 1/5 = 11/5. Multiply: (35/11) x (11/5) = 385/55. Simplify to lowest terms = 7, hence the correct answer is D. Choices A, B, and C are incorrect as they do not properly convert and multiply the mixed numbers.
What is 54% of $789.56?
- A. $426.36
- B. $526.38
- C. $363.20
- D. $426.37
Correct Answer: A
Rationale: To calculate 54% of $789.56, you multiply $789.56 by 0.54 (which is the decimal form of 54%). This gives you approximately $426.36. Therefore, the correct answer is A, as it represents 54% of the given amount.