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Add: 1 2/3 + 4/7, reduced to lowest terms =
- A. 1 2/5
- B. 2 1/7
- C. 2 5/21
- D. 2 5/21
Correct Answer: D
Rationale: To add 1 2/3 and 4/7, first convert 1 2/3 to an improper fraction: 3*(1)+2=5/3. Then, find a common denominator for 5/3 and 4/7, which is 21. Convert 5/3 to 35/21 and 4/7 to 12/21. Add them to get 47/21, which simplifies to 2 5/21. Therefore, the correct answer is D. Choice A is incorrect as it does not match the calculated result. Choice B is incorrect as it does not account for the proper fraction addition. Choice C is incorrect as it does not simplify to the correct result.
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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.
A person is advised by their healthcare provider to reduce their daily coffee consumption by 75%. If they typically drink 5 cups of coffee daily, how many ounces of coffee are they allowed to consume after following the advice?
- A. 16
- B. 10
- C. 6
- D. 8
Correct Answer: B
Rationale: To determine how much coffee the person can consume after reducing by 75%, first calculate 75% of 5 cups, which is 3.75 cups. Subtracting 3.75 from 5 gives 1.25 cups remaining. Since 1 cup equals 8 ounces, the person can have 1.25 cups x 8 ounces = 10 ounces of coffee daily after the reduction. Therefore, the correct answer is 10 ounces (Choice B).
In a nursing school with 89 students, if 7 out of 8 are female, what percentage of students are female?
- A. 85%
- B. 87.50%
- C. 90%
- D. 75%
Correct Answer: B
Rationale: To find the percentage of female students, first determine the number of female students by multiplying (7/8) by 89, resulting in 78 females. Then, to calculate the percentage, divide the number of female students (78) by the total number of students (89) and multiply by 100 to get 87.50%. Therefore, 87.50% of the students in the nursing school are female.
Find x. 120:x::40:0.5 =
- A. 16
- B. 0.167
- C. 60
- D. 1.5
Correct Answer: D
Rationale: To solve this proportion, set up the equation: 120/x = 40/0.5. Cross multiply to get 120 * 0.5 = 40 * x. Simplify to 60 = 40x. Divide by 40 to solve for x, which gives x = 1.5. Therefore, the correct answer is 1.5. In this proportion, the first ratio represents 120:x, and the second ratio represents 40:0.5. By solving for x, we find that x is equal to 1.5, making choice D the correct answer.
Solve for X: 2X + 90 = 270. (Enter the numerical value only, rounded to the nearest whole number.)
- A. 90
- B. 80
- C. 75
- D. 100
Correct Answer: A
Rationale: To solve for X, first subtract 90 from both sides: 2X = 270 - 90, which simplifies to 2X = 180. Then, divide by 2: X = 180/2 = 90. Therefore, the correct answer is A) 90.