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Round your answer to the hundredths place: 28 divided by 0.6 =
- A. 46.67
- B. 0.021
- C. 17.5
- D. 16.8
Correct Answer: A
Rationale: To divide 28 by 0.6, you get 46.666... Rounding the answer to the hundredths place means keeping two decimal places. Since the digit after the hundredths place is 6, we round up the last decimal place to get 46.67 as the correct rounded answer.
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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 is the result of adding 2/3 + 4/9?
- A. 8/15
- B. 9/9 = 1
- C. 6/12 = 1/2
- D. 10/9 = 1 & 1/9
Correct Answer: D
Rationale: To add fractions, you need to find a common denominator. In this case, the least common multiple of 3 and 9 is 9. To add 2/3 + 4/9, convert 2/3 to have a denominator of 9 by multiplying the numerator and denominator by 3, which gives you 6/9. Now, you can add 6/9 + 4/9 to get 10/9. However, 10/9 can be simplified to 1 & 1/9, making choice D the correct answer.
What is the sum of 2/3 + 1/6 + 2/5?
- A. 1/3
- B. 2/5
- C. 1 & 7/30
- D. 1 & 1/15
Correct Answer: C
Rationale: To add fractions, we need to find a common denominator. The least common multiple of 3, 6, and 5 is 30. Convert each fraction to have the denominator 30. 2/3 becomes 20/30, 1/6 becomes 5/30, and 2/5 becomes 12/30. Adding these fractions gives us 20/30 + 5/30 + 12/30 = 37/30, which simplifies to 1 & 7/30. Therefore, the correct answer is 1 & 7/30.
A mailman delivers mail to 540 households. Yesterday he delivered a total of 5,400 pieces of mail on his route. What was the average number of pieces he delivered to each household? (Enter numeric value only. Round to whole number.)
- A. 10
- B. 12
- C. 14
- D. 8
Correct Answer: D
Rationale: Correct Answer: D (8)
Rationale:
1. Total pieces delivered = 5,400
2. Number of households = 540
3. Average pieces per household = Total pieces delivered / Number of households
4. Average = 5,400 / 540 = 10
5. Therefore, the average pieces delivered per household is 10, so choice D (8) is the correct answer.
Summary:
A: 10 - Incorrect. This is the calculated average, not the answer.
B: 12 - Incorrect. This is not the correct average based on the given information.
C: 14 - Incorrect. This is not the correct average based on the given information.
Evaluate the expression when x=11: x + 44 / (2x) =
- A. 33
- B. 2.5
- C. 13
- D. 55/22
Correct Answer: C
Rationale: To evaluate the expression, substitute x=11 into the equation: 11 + 44 / (2*11). First, calculate 2*11 = 22. Then, simplify the expression: 11 + 44 / 22 = 11 + 2 = 13. Therefore, the correct answer is 13, which corresponds to choice C.