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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.
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Which of the following numbers is the largest?
- A. 0.6
- B. 0.0688
- C. 0.667
- D. 0.68
Correct Answer: D
Rationale: To determine the largest number, compare the decimal parts individually. Among the given options, 0.6 is smaller than 0.68, 0.0688 is smaller than both 0.6 and 0.68, and 0.667 is smaller than 0.68. Therefore, 0.68 is the largest number among the options provided.
Which of the following decimals is the largest?
- A. 0.6
- B. 0.667
- C. 0.0688
- D. 0.68
Correct Answer: D
Rationale: To determine the largest decimal among the options, you need to compare them by looking at the digits after the decimal point. When comparing 0.6, 0.667, 0.0688, and 0.68, consider that 0.6 is equivalent to 0.600, 0.667 remains 0.667, 0.0688 is already in its most precise form, and 0.68 is the same as 0.680. By comparing them, you can see that 0.68 is the largest decimal among the options provided. Remember, when comparing decimals, it's important to line up the decimal points to make accurate comparisons.
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.
What is the result of dividing 0.6 by 0.12?
- A. 5
- B. 4
- C. 6
- D. 3
Correct Answer: A
Rationale: To divide 0.6 by 0.12, you can perform the operation as follows: 0.6 · 0.12 = 5. Therefore, the correct answer is 5, as the result of dividing these two numbers. When dividing decimals, you can move the decimal point to the right on both numbers until the divisor is a whole number, then divide as you would with whole numbers. In this case, you can multiply both 0.6 and 0.12 by 10 to make the divisor a whole number, resulting in 6 · 1 = 5.
Change 0.004 to a ratio.
- A. 3:5
- B. 4/1000
- C. 1:250
- D. 2/500
Correct Answer: C
Rationale: To convert 0.004 to a ratio, you first express it as a fraction, which is 4/1000. Simplifying this fraction gives 1/250. Therefore, the correct ratio for 0.004 is 1:250. This ratio represents the relationship between the parts, where for every 1 unit in the first part, there are 250 units in the second part. It's essential to simplify fractions to their lowest terms to express the ratio in its simplest form.