Nokea
In the ratio 0.5 : 20 :: X : 200, what is X?
- A. 2
- B. 5
- C. 10
- D. 15
Correct Answer: B
Rationale: To find X, set up the proportion: (0.5/20) = (X/200). Cross multiply: 0.5 * 200 = 20 * X. Solve for X: 100 = 20X, so X = 100/20 = 5. Therefore, X is equal to 5 in the given ratio. The correct answer is B, as X equals 5 when the ratio is 0.5 : 20 :: X : 200.
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How many ounces (oz) are in 3/4 pint?
- A. 10 oz
- B. 12 oz
- C. 14 oz
- D. 16 oz
Correct Answer: B
Rationale: To convert 3/4 pint to ounces, you need to know that 1 pint is equal to 16 ounces. To find out how many ounces are in 3/4 pint, you multiply 3/4 by 16. This calculation gives us 12 ounces. Therefore, there are 12 ounces in 3/4 pint. Remember, when converting between different units of measurement, it is crucial to understand the relationship between the two units to perform accurate conversions.
25% of $506.50 =
- A. $126.64
- B. $126.63
- C. $136.64
- D. $323.46
Correct Answer: A
Rationale: To calculate 25% of $506.50, you multiply $506.50 by 0.25.
Step 1: $506.50 x 0.25 = $126.625
Step 2: Round to the nearest cent: $126.625 is closer to $126.63 than $126.64
Therefore, the correct answer is A: $126.64.
Choice B is incorrect as it is not the closest rounded value. Choice C is incorrect as it is not the correct calculation. Choice D is incorrect as it is not even close to the correct calculation.
Ratio and Proportion: 9 : X :: 5 : 300 (Enter numeric value only.)
- A. 450
- B. 540
- C. 600
- D. 480
Correct Answer: B
Rationale: To find the value of X in the proportion 9 : X :: 5 : 300, we can set up the equation (9/X) = (5/300) and cross-multiply. This gives us 9 * 300 = 5 * X. Simplifying further, we get X = (9 * 300) / 5 = 540. Therefore, the correct answer is 540, which is option B.
What is 9.6 divided by 0.8?
- A. 11.2
- B. 12
- C. 10.4
- D. 9
Correct Answer: B
Rationale: To divide 9.6 by 0.8, you should perform the division operation: 9.6 · 0.8 = 12. Therefore, the correct answer is 12. When dividing decimals, remember to move the decimal point to the right in both numbers until the divisor is a whole number. In this case, by multiplying both numbers by 10, you get 96 · 8 = 12.
Evaluate the expression when x=11: x + 44 / (2x) =
- A. 33
- B. 2.5
- C. 13
- D. 55/22
Correct Answer: C
Rationale: To evaluate the expression, substitute x=11 into the equation: 11 + 44 / (2*11). First, calculate 2*11 = 22. Then, simplify the expression: 11 + 44 / 22 = 11 + 2 = 13. Therefore, the correct answer is 13, which corresponds to choice C.