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Find x: 40:5 = 60:x
- A. 7.5
- B. 1.5
- C. 12
- D. 15
Correct Answer: A
Rationale: To find the value of x in the proportion 40:5 = 60:x, you can cross multiply. This gives you 40 * x = 5 * 60, which simplifies to 40x = 300. To solve for x, divide both sides by 40, resulting in x = 300 / 40 = 7.5. Therefore, the correct answer is A, 7.5. The other choices can be eliminated by following the correct mathematical procedure. Choice B, 1.5, is incorrect as it does not satisfy the proportion equation. Choices C and D, 12 and 15, respectively, are also incorrect as they are not the solutions obtained by solving the proportion equation.
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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%.
A patient is consuming a clear diet, and their urinary drainage bag indicates a total output of 1,000 mL in the past 24 hours. The patient's total intake includes 2 8-oz cups of coffee, 1 16-oz serving of clear soup, and 1 pint of water. What is the deficit in milliliters? (Enter a numeric value only. If rounding is necessary, round to the nearest whole number.)
- A. 400
- B. 450
- C. 440
- D. 500
Correct Answer: C
Rationale: To find the total intake, convert each volume to mL: 2 cups of coffee (8 oz each) = 2 x 8 x 29.5735 = 473.176 mL, 1 serving of clear soup (16 oz) = 16 x 29.5735 = 473.176 mL, and 1 pint of water = 473.176 mL. Thus, the total intake is 473.176 + 473.176 + 473.176 = 1,419.528 mL. The deficit is the difference between the total intake and output, which is 1,419.528 - 1,000 = 419.528 mL. When rounded to the nearest whole number, the deficit is 420 mL, making option C, 440, the closest choice.
25% of $506.50 =
- A. $126.64
- B. $126.63
- C. $136.64
- D. $323.46
Correct Answer: A
Rationale: To calculate 25% of $506.50, you multiply $506.50 by 0.25.
Step 1: $506.50 x 0.25 = $126.625
Step 2: Round to the nearest cent: $126.625 is closer to $126.63 than $126.64
Therefore, the correct answer is A: $126.64.
Choice B is incorrect as it is not the closest rounded value. Choice C is incorrect as it is not the correct calculation. Choice D is incorrect as it is not even close to the correct calculation.
How many pints are in 80 ounces?
- A. 1,280 pints
- B. 16 pints
- C. 15 pints
- D. 5 pints
Correct Answer: D
Rationale: To determine how many pints are in 80 ounces, we use the conversion that 1 pint is equal to 16 ounces. Therefore, 80 ounces divided by 16 ounces per pint equals 5 pints (80/16 = 5). Choice D, 5 pints, is the correct answer. Choice A is incorrect as it miscalculates by multiplying 80 by 16 instead of dividing. Choices B and C are incorrect as they do not use the correct conversion factor of 16 ounces per pint. Thus, the correct answer is D, 5 pints, as it accurately applies the conversion factor to solve the problem.
What is the result of multiplying 375 by 2.3?
- A. 862.5
- B. 750
- C. 225.75
- D. 1125
Correct Answer: A
Rationale: To find the result of multiplying 375 by 2.3, you need to multiply the two numbers together. Multiplying 375 by 2.3 is calculated as 375 x 2.3 = 862.5. Therefore, the correct answer is A, which is 862.5.