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What is the temperature in Celsius when 98.6 degrees Fahrenheit is converted?
- 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: Celsius = (Fahrenheit - 32) x 5/9. Substituting 98.6 for Fahrenheit gives us: Celsius = (98.6 - 32) x 5/9 = 37 Celsius. Therefore, the correct answer is 37 Celsius. It is important to understand this conversion formula to accurately convert temperatures between the Fahrenheit and Celsius scales.
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Round to the tenths place: What is 6.4% of 32?
- A. 1.8
- B. 2.1
- C. 2.6
- D. 2
Correct Answer: D
Rationale: To find 6.4% of 32, first convert 6.4% to a decimal by dividing by 100: 6.4/100 = 0.064. Next, multiply 0.064 by 32: 0.064 * 32 = 2.048. Rounding to the tenths place, 2.048 rounds down to 2. Therefore, the correct answer is 2, making choice D the correct option.
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 9 from 28.19?
- A. 28.1
- B. 18.19
- C. 27.29
- D. 19.19
Correct Answer: D
Rationale: To find the result of subtracting 9 from 28.19, you need to subtract 9 from 28.19. The calculation is 28.19 - 9 = 19.19. Therefore, the correct answer is D, 19.19. When subtracting a whole number from a decimal number, it is essential to align the decimal points and perform the subtraction correctly. In this case, the 9 is subtracted from the 0.19, resulting in the final answer of 19.19. It's crucial to pay attention to place value and the position of the decimal point to ensure the accuracy of the result.
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.
How many liters are in 300 milliliters?
- A. 0.3 liters
- B. 3 liters
- C. 0.03 liters
- D. 3.30 liters
Correct Answer: A
Rationale: To convert milliliters to liters, divide by 1000 because 1 liter is equal to 1000 milliliters. Therefore, 300 milliliters is equal to 0.3 liters (300 · 1000 = 0.3). The correct answer is 0.3 liters, as 300 milliliters is a fraction of a liter, not a whole liter.