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Convert 5 3/4 to a decimal. Round to the nearest tenth.
- A. 5.75
- B. 5.7
- C. 6
- D. 5.8
Correct Answer: A
Rationale: To convert a mixed number to a decimal, divide the numerator by the denominator. In this case, 3 · 4 = 0.75. Adding this to 5 gives us 5.75. Rounding 5.75 to the nearest tenth results in 5.8. Therefore, the correct answer is A, 5.8.
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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: 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.
What is the result of adding 6, 12.55, and 5.022?
- A. 18.572
- B. 23.572
- C. 30.025
- D. 16.575
Correct Answer: B
Rationale: To find the sum of 6, 12.55, and 5.022, you need to add the numbers together: 6 + 12.55 + 5.022 = 23.572. Therefore, the correct answer is B, which equals 23.572. Adding the three numbers together gives you the total sum. In this case, the sum is 23.572, making it the correct answer choice.
A woman ran a 24-mile course. She ran the first 6 miles in 1 hour, the second set of 6 miles in 1.2 hours, the third set in 1.5 hours, and the fourth set in 1.6 hours. How long did it take her to complete the course?
- A. 5.3 hours
- B. 5.4 hours
- C. 4 hours
- D. 5 hours
Correct Answer: A
Rationale: To determine the total time taken to complete the 24-mile course, we sum the time taken for each set of 6 miles. The time taken for the first 6 miles is 1 hour, the second set of 6 miles took 1.2 hours, the third set took 1.5 hours, and the fourth set took 1.6 hours. Adding these times together: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it took her 5.3 hours to finish the 24-mile course.
What temperature in Fahrenheit is 50°C? (Enter a numeric value only. If rounding is necessary, round to the nearest whole number.)
- A. 150°F
- B. 122°F
- C. 120°F
- D. 145°F
Correct Answer: B
Rationale: To convert Celsius to Fahrenheit, use the formula: F = (C x 9/5) + 32. Substituting 50 for C gives: F = (50 x 9/5) + 32 = 90 + 32 = 122°F. Therefore, 50°C is equal to 122°F. The correct answer is B.