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What is the result of dividing 3.44 by 0.6?
- A. 11.41
- B. 5.73
- C. 2.33
- D. 0.57
Correct Answer: B
Rationale: To divide 3.44 by 0.6, align the decimal points by making the divisor a whole number: 3.44 · 0.6 = 3.44 · 0.60 = 5.73. Therefore, the correct answer is 5.73. When dividing decimal numbers, ensure the decimal points are aligned and then perform the division as if they were whole numbers. Adding a trailing zero to the dividend in this case makes the division easier and ensures the correct placement of the decimal point in the quotient. Remember, maintaining the alignment of decimal points is crucial to accurately dividing decimal numbers.
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What is the result of subtracting 12.02 from 9.99?
- A. 7.97
- B. 2.03
- C. -2.03
- D. 3.17
Correct Answer: C
Rationale: To find the result of subtracting 12.02 from 9.99, you need to perform the operation 9.99 - 12.02, which equals -2.03. The correct answer is C, -2.03, because when subtracting a larger number from a smaller one, the result will be negative. Therefore, the correct calculation is 9.99 - 12.02 = -2.03. It's important to remember that when subtracting numbers, the order matters, and subtracting the larger number from the smaller one will result in a negative difference.
Solve for X: X/4 = 9/X
- A. 6
- B. 8
- C. 12
- D. 18
Correct Answer: A
Rationale: To solve the equation X/4 = 9/X, cross multiply to obtain X * X = 9 * 4, which simplifies to X² = 36. Taking the square root of both sides results in X = ±6. However, in this context, X represents a positive value since negative values are not applicable in the division given. Therefore, the positive root, X = 6, is the correct solution.
A healthcare professional is reviewing the daily intake and output (I&O) of a patient consuming a clear diet. The drainage bag denotes a total of 1,500 mL for the past 24 hours. The total intake is: 3 6oz cups of coffee, 1 16-oz serving of clear soup, and 2 pints of water consumed throughout the day. How much is the deficit in milliliters?
- A. 480ml
- B. 840ml
- C. 240ml
- D. 460ml
Correct Answer: A
Rationale: To calculate the fluid deficit, first, convert all fluid intake into milliliters: 3 cups of coffee x 180ml/cup = 540ml, 1 serving of clear soup x 480ml/serving = 480ml, and 2 pints of water x 480ml/pint = 960ml. Total fluid intake = 540ml + 480ml + 960ml = 1980ml. Given that the patient's output is 1500ml, the fluid deficit is calculated as 1980ml intake - 1500ml output = 480ml deficit. Therefore, the correct answer is 480ml.
Ratio and Proportion: 3:5 :: X:10
- A. X = 10
- B. X = 6
- C. X = 3
- D. X = 8
Correct Answer: B
Rationale: To solve the proportion, set up (3/5) = (X/10). Cross-multiply to get 3 — 10 = 5X, leading to X = 6. This means that the correct choice is B, as X is equal to 6 to maintain the same ratio as 3:5 in the original proportion.
Ratio and Proportion: 100:2 :: 60:X. Find X.
- A. 1.2
- B. 2
- C. 3
- D. 30
Correct Answer: A
Rationale: To find the value of X when the ratio 100:2 is equivalent to 60:X, set up the proportion: 100/2 = 60/X. Cross-multiply to get 100X = 120. Divide by 100 to isolate X, so X = 120/100 = 1.2. Therefore, X equals 1.2, and the correct answer is A. In this scenario, the correct answer is calculated through cross-multiplication of the given ratio and solving for the unknown value. This method is commonly used to solve ratio and proportion problems. It is essential to understand the concept of ratios and proportions to solve mathematical problems efficiently.