Ratio and Proportion: 15:1000 :: X:100
- A. X = 7.5
- B. X = 6,666
- C. X = 0.15
- D. X = 1.5
Correct Answer: D
Rationale: To solve this proportion problem, we set up the ratio 15:1000 equal to X:100. This gives us (15/1000) = (X/100). Cross-multiplying, we get 15 — 100 = 1000X, which simplifies to 1500 = 1000X. Dividing both sides by 1000, we find X = 1.5. Therefore, the correct answer is X = 1.5.
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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.
What is the result of subtracting 3.54 from 27?
- A. 24.56
- B. 23.46
- C. 33.3
- D. 24.54
Correct Answer: B
Rationale: To find the result of subtracting 3.54 from 27, you need to subtract the two numbers. 27 - 3.54 equals 23.46. Therefore, the correct answer is B. When subtracting a smaller number from a larger number, the result will be smaller than the original number. In this case, subtracting 3.54 from 27 results in 23.46, not 24.56, 33.3, or 24.54. Therefore, the only correct answer choice is B.
A healthcare professional works in a military hospital from 1300 to 2000 hours. How many hours does this healthcare professional work?
- A. 8 hours
- B. 11 hours
- C. 7 hours
- D. 12 hours
Correct Answer: C
Rationale: To calculate the number of hours worked, subtract the starting time from the ending time. In military time, 2000 is equivalent to 8:00 PM, and 1300 is equivalent to 1:00 PM. Subtracting 1:00 PM from 8:00 PM gives us 7 hours of work. Therefore, the correct answer is 7 hours, as the healthcare professional worked from 1:00 PM to 8:00 PM.
20:5 = 30:x. Find the value of x. (Enter the numerical value only. Round to the nearest tenth.)
- A. 5
- B. 6
- C. 7.5
- D. 8
Correct Answer: C
Rationale: To find the value of x, set up the proportion: 20/5 = 30/x. Cross-multiply to get 20x = 150. Dividing both sides by 20 gives x = 7.5. Therefore, the value of x is 7.5 when rounded to the nearest tenth.
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).
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