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What is the result of dividing 40.3 by 4.8?
- A. 0.84
- B. 0.084
- C. 8.4
- D. 84
Correct Answer: C
Rationale: To find the result of dividing 40.3 by 4.8, perform the division: 40.3 · 4.8 = 8.39583333... Rounded, this is approximately 8.4. Therefore, the correct answer is 8.4. When dividing decimal numbers, remember to align the decimal points and perform the division as you would with whole numbers. In this case, the correct answer is 8.4.
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A young adult is running a 24-mile course. If they run the first 6 miles in 1 hour, the second 6 miles in 1.2 hours, the third 6 miles in 1.5 hours, and the fourth 6 miles in 1.6 hours, how long will it take them to complete the run? (Round to the nearest tenth.)
- A. 5.3
- B. 5.6
- C. 5.8
- D. 6
Correct Answer: A
Rationale: To find the total time taken to complete the 24-mile run, add the times for each segment: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it will take them 5.3 hours to finish the 24-mile course. The correct answer is A, 5.3 hours.
What is 54% of $789.56?
- A. $426.36
- B. $526.38
- C. $363.20
- D. $426.37
Correct Answer: A
Rationale: To calculate 54% of $789.56, you multiply $789.56 by 0.54 (which is the decimal form of 54%). This gives you approximately $426.36. Therefore, the correct answer is A, as it represents 54% of the given amount.
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.
Subtract: 32.21 - 4.68 =
- A. 14.53
- B. 27.53
- C. 1.459
- D. 27.53
Correct Answer: D
Rationale: To subtract decimals, align the decimal points and subtract each place value. Starting from the right, 1 - 8 requires borrowing from the tens place, resulting in 11 - 8 = 3. Then, 2 - 6 requires borrowing from the tens place again, resulting in 12 - 6 = 6. The result is 27.53. Therefore, the correct answer is 27.53 (Option D). Remember to be careful with decimal alignment and borrowing when subtracting decimals.
Karen goes to the grocery store with $40. She buys a carton of milk for $1.85, a loaf of bread for $3.20, and a bunch of bananas for $3.05. How much money does she have left?
- A. $31.90
- B. $31.90
- C. $32.10
- D. $34.95
Correct Answer: B
Rationale: To determine how much money Karen has left, we need to subtract the total cost of her purchases from the amount she started with. The total cost of her purchases is calculated by adding the prices of the carton of milk, loaf of bread, and bunch of bananas: $1.85 + $3.20 + $3.05 = $8.10. By subtracting $8.10 from the $40 Karen started with, we get $31.90. Therefore, Karen has $31.90 left after buying the items.