Subtract 3/5 - 2/7 =
- A. 1/2
- B. 3/35
- C. -1/2
- D. 11/35
Correct Answer: D
Rationale: To subtract fractions, you need a common denominator. In this case, the common denominator of 5 and 7 is 35. Rewrite the fractions with the common denominator: 3/5 = 21/35 and 2/7 = 10/35. Subtract: 21/35 - 10/35 = 11/35. Therefore, the correct answer is D, 11/35. Remember, when subtracting fractions, always ensure to find a common denominator to perform the operation accurately.
You may also like to solve these questions
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.
What is the result of subtracting 32.21 by 4.68?
- A. 14.53
- B. 27.53
- C. 1.459
- D. 27.53
Correct Answer: B
Rationale: To subtract decimals, align the decimal points and subtract each place value. When subtracting 4.68 from 32.21, you get 27.53. Therefore, the correct answer is option B, 27.53.
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.
If a label states that 1 mil contains 500 mg, how many mils are there if there are 1.5 grams?
- A. 2
- B. 5
- C. 9
- D. 3
Correct Answer: D
Rationale: To convert grams to mils using the given conversion rate of 1 mil = 500 mg, you need to first convert grams to milligrams. Since 1 gram = 1000 milligrams, 1.5 grams would be 1500 milligrams. To find out how many mils this corresponds to, you divide the total milligrams by the milligrams per mil: 1500 mg · 500 mg/mil = 3 mils. Therefore, the correct answer is 3.
What is 3 percent of 60?
- A. 0.18
- B. 1.8
- C. 18
- D. 0.018
Correct Answer: B
Rationale: To find 3% of 60, you multiply 60 by 3% (or 0.03).
So, 60 x 0.03 = 1.8.
Therefore, the correct answer is B: 1.8.
Choice A (0.18) is incorrect as it represents 0.3% of 60. Choice C (18) is incorrect as it represents 30% of 60. Choice D (0.018) is incorrect as it represents 0.03% of 60.
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