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Calculate the product: (88)(7.08) =
- A. 862.5
- B. 88.04
- C. 64.252
- D. 623.04
Correct Answer: D
Rationale: To find the product of two numbers, you multiply them together. In this case, (88)(7.08) equals 623.04. To calculate this, you multiply 88 by 7.08. This results in 623.04. Therefore, the correct answer is D, 623.04.
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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.
Round to the nearest whole number: What is 17 out of 68 as a percent?
- A. 17%
- B. 25%
- C. 32%
- D. 68%
Correct Answer: B
Rationale: To convert a fraction to a percentage, divide the numerator (17) by the denominator (68) to get approximately 0.25. Then, multiply this decimal by 100 to get the percentage. 0.25 * 100 = 25%. Since we are asked to round to the nearest whole number percentage, the answer is 25%. Therefore, the correct choice is B, 25%.
How many kilograms are in 2000 grams?
- A. 20 kilograms
- B. 2 kilograms
- C. 0.002 kilograms
- D. 0.2 kilograms
Correct Answer: B
Rationale: To convert grams to kilograms, you need to divide by 1000 since there are 1000 grams in a kilogram. Therefore, 2000 grams divided by 1000 equals 2 kilograms. The correct answer is 2 kilograms. Remember, when converting units, it is important to keep track of the conversion factor to ensure the correct transformation of measurements. In this case, multiplying or dividing by 1000 is a common conversion for grams to kilograms, moving the decimal point three places to the left or right.
Convert 1/5 to a decimal.
- A. 0.5
- B. 1.5
- C. 0.15
- D. 0.2
Correct Answer: D
Rationale: To convert a fraction to a decimal, divide the numerator by the denominator. For 1/5, you calculate 1 · 5 = 0.2. Therefore, the decimal equivalent of 1/5 is 0.2. It is important to note that when the numerator is smaller than the denominator, the resulting decimal value will be less than 1.
Ratio and Proportion: 3 : 10 :: 12 : X
- A. X = 3.6
- B. X = 40
- C. X = 0.27
- D. X = 2.5
Correct Answer: B
Rationale: To solve this proportion, set up the equation: 3/10 = 12/X. Cross-multiply to get 3X = 120. Dividing both sides by 3 gives X = 40. Therefore, the correct answer is B. X equals 40 to maintain the proportional relationship. The ratio 3:10 is equivalent to the ratio 12:40, hence X equals 40.