Nokea
Round to the nearest whole number. Change the fraction to a percent: 2/9
- A. 20%
- B. 21%
- C. 23%
- D. 22%
Correct Answer: D
Rationale: To convert a fraction to a percent, divide the numerator by the denominator, then multiply by 100. For 2/9, 2 · 9 = 0.2222... Multiplying by 100 gives 22%. When rounding to the nearest whole number, 0.2222... is closer to 22% than to 21% or 23%, making the correct answer D.
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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.
Compare the relationships of these numbers. ¼ is-------- than 2/24
- A. less than
- B. equal to
- C. greater than
Correct Answer: C
Rationale: To compare ¼ and 2/24, convert both fractions to have a common denominator. LCD is 24. ¼ = 6/24 and 2/24 = 2/24. 6/24 is greater than 2/24 since 6 is larger than 2. Therefore, the correct answer is C (greater than). Choice A (less than) and B (equal to) are incorrect as ¼ is larger than 2/24 when compared using the same denominator. Choice D is incomplete and doesn't provide any comparison.
What is the temperature in Fahrenheit when converted from 50°C? (Enter a numeric value only. If rounding is necessary, round to the nearest whole number.)
- A. 150°F
- B. 122°F
- C. 120°F
- D. 145°F
Correct Answer: B
Rationale: To convert Celsius to Fahrenheit, you can use the formula: F = (C — 9/5) + 32. Plugging in 50°C gives us (50 — 9/5) + 32 = 122°F. Therefore, the correct answer is 122°F. When converting temperatures between Celsius and Fahrenheit, it's important to remember the formula and apply it correctly. In this case, by substituting 50°C into the formula, it results in 122°F when rounded to the nearest whole number.
If a person reads two chapters a day, each with 6 pages, and there are a total of 798 pages, how many days will it take to finish reading?
- A. 133 days
- B. 399 days
- C. 66 1/2 days
- D. 75 1/2 days
Correct Answer: C
Rationale: To determine the number of days required to finish reading the book, divide the total number of pages (798) by the number of pages read per day, which is 2 chapters x 6 pages = 12 pages per day. Therefore, 798 pages · 12 pages per day = 66.5 days. It will take approximately 66 1/2 days to complete reading the book at this pace.
What is 5 & 3/4 divided by 1/2 when reduced?
- A. 5 & 1/2
- B. 2 & 3/8
- C. 11 & 1/2
- D. 18
Correct Answer: C
Rationale: To divide a mixed number by a fraction, first convert the mixed number to an improper fraction. 5 & 3/4 as an improper fraction is 23/4. Next, invert the divisor to find its reciprocal, making it 2/1. Now, multiply the dividend by the reciprocal: (23/4) · (2/1) = (23/4) * (1/2) = 23/8 = 2 & 7/8. This result as a mixed number is 11 & 1/2, which is the correct answer. Therefore, the correct answer is 11 & 1/2.