Express 0.004 as a ratio.
- A. 3:5
- B. 10:20
- C. 5:250
- D. 20:40
Correct Answer: C
Rationale: To convert 0.004 to a ratio, we first express it as a fraction, which is 4/1000. Simplifying this fraction by dividing the numerator and denominator by their greatest common factor, which is 4, we get 1/250. Therefore, the ratio of 0.004 is 1:250. Remember that to express a decimal as a ratio, you need to convert it to a fraction first, simplify the fraction, and then express it in the form of a ratio.
You may also like to solve these questions
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.
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.
How do you change 12.5% to a decimal?
- A. 1.25
- B. 0.125
- C. 0.0125
- D. 12.5
Correct Answer: B
Rationale: To convert a percentage to a decimal, divide by 100. In this case, to change 12.5% to a decimal, you divide 12.5 by 100, which equals 0.125. Therefore, the correct answer is B) 0.125.
How many ounces are in 2 quarts?
- A. 8 ounces
- B. 16 ounces
- C. 32 ounces
- D. 64 ounces
Correct Answer: D
Rationale: To convert quarts to ounces, remember that 1 quart is equal to 32 ounces. When dealing with 2 quarts, you need to multiply 2 by 32 to find the total number of ounces, which equals 64 ounces. Therefore, the correct answer is 64 ounces. Understanding the conversion factor of 32 ounces in 1 quart enables you to accurately calculate the total ounces for any given quantity of quarts.
An office worker mails 25 envelopes to customers each day. Every envelope contains 3 reports with a paper clip on each one. The supply of paper clips is provided in boxes of 500. How many days will it take for the clerk to use up one box of paper clips? (Enter numeric value only. If rounding is required, round to the next higher whole number.)
- A. 15
- B. 20
- C. 17
- D. 25
Correct Answer: B
Rationale: To find the answer, we need to calculate the total number of paper clips used per day: 25 envelopes * 3 paper clips/envelope = 75 paper clips per day. Then, we divide the total number of paper clips in a box (500) by the number of paper clips used per day (75): 500 / 75 = 6.67. Since we can't use a fraction of a box, we round up to the next whole number, which is 7. Therefore, it will take the clerk 7 days to use up one box of paper clips. Option B (20) is incorrect as it does not align with the calculated result. Options A, C, and D are also incorrect, as they are not the result of the calculation.
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