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What is 32 divided by 8/9?
- A. 36
- B. 4 & 1/9
- C. 28 & 4/9
- D. 4
Correct Answer: A
Rationale: To divide by a fraction, you can multiply by its reciprocal. In this case, 32 divided by 8/9 is equivalent to 32 multiplied by 9/8. Multiplying 32 by 9/8 gives 288/8, which simplifies to 36. Therefore, the correct answer is A, 36. When dividing by a fraction, remember to multiply by the reciprocal to find the result. In this case, multiplying 32 by the reciprocal of 8/9, which is 9/8, gives the final answer of 36.
You may also like to solve these questions
What temperature in Celsius is 98.6 degrees Fahrenheit?
- A. 30 Celsius
- B. 37 Celsius
- C. 47 Celsius
- D. 21 Celsius
Correct Answer: B
Rationale: To convert Fahrenheit to Celsius, you can use the formula: C = (F - 32) x 5/9. Substituting 98.6 for F: (98.6 - 32) x 5/9 = 37°C. Therefore, 98.6 degrees Fahrenheit is equivalent to 37 degrees Celsius.
What time is 5:00 am in military time (24-hour clock)? (Enter numeric value only.)
- A. 5000
- B. 500
- C. 1500
- D. 1700
Correct Answer: B
Rationale: The correct answer is B: 500. In military time, 5:00 am is represented as 0500. This is because the 24-hour clock system uses four digits, with the first two indicating the hour and the last two indicating the minutes. Choice A (5000) is incorrect as it has an extra digit. Choice C (1500) represents 3:00 pm, while choice D (1700) represents 5:00 pm. Therefore, the correct representation of 5:00 am in military time is 0500.
Ratio and Proportion: 200:2::20:X (Enter numeric value only.)
- A. 2
- B. 0.2
- C. 4
- D. 10
Correct Answer: B
Rationale: Correct Answer: B (0.2)
Rationale:
To solve this proportion problem, we can set up the equation:
200/2 = 20/X
Simplify the left side:
100 = 20/X
Cross multiply to solve for X:
100X = 20
Divide by 100 to isolate X:
X = 20/100
X = 0.2
Summary:
- Choice A (2) is incorrect as it does not match the calculated value of X.
- Choice C (4) is incorrect as it is not the correct answer derived from the proportion.
- Choice D (10) is incorrect as it does not align with the calculated value of X.
How many liters are in 35 milliliters?
- A. 3.5
- B. 0.35
- C. 0.035
- D. 350
Correct Answer: C
Rationale: To convert milliliters to liters, you divide by 1000 since there are 1000 milliliters in a liter. Therefore, 35 milliliters is equal to 35/1000 = 0.035 liters. The correct answer is option C. Remember that when converting between milliliters and liters, you are essentially changing the unit of measurement, so the numerical value changes accordingly. It's important to understand these conversion factors to work accurately with different units of volume.
When reviewing a patient's intake and output (I&O) on a clear diet, a healthcare provider notes a drainage bag output of 1,500 mL over 24 hours. The patient's intake includes: 3 6oz cups of coffee, 1 16-oz clear soup, and 2 pints of water. What is the fluid deficit in milliliters?
- A. 480ml
- B. 840ml
- C. 240ml
- D. 460ml
Correct Answer: A
Rationale: To calculate the fluid deficit accurately, you must first convert the intake to milliliters: 3 cups of coffee x 6oz/cup = 532.8ml, 1 serving of clear soup = 473.2ml, and 2 pints of water = 946.4ml. The total intake is 1,952.4ml. Subtract the total output (1,500ml) from the total intake (1,952.4ml) to find the fluid deficit: 1,952.4ml - 1,500ml = 452.4ml. Therefore, the correct fluid deficit is 452.4ml, which rounds to the nearest tenth as 480ml. Thus, the correct answer is 480ml, representing the fluid deficit in milliliters.