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A parent is planning a birthday party for their child and wants to give each child 15 balloons. How many packets are needed for 16 children?
- A. 17
- B. 5
- C. 50
- D. 6
Correct Answer: B
Rationale: To find the total number of balloons needed, multiply the number of children by the number of balloons per child: 15 balloons x 16 children = 240 balloons. Since each packet contains 50 balloons, divide the total balloons needed by the balloons per packet: 240 balloons · 50 balloons per packet = 4.8 packets. As we cannot have a fraction of a packet, round up to the nearest whole number, which is 5 packets. Therefore, 5 packets are needed for 16 children to have 15 balloons each at the birthday party.
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Change 0.004 to a ratio.
- A. 3:5
- B. 4/1000
- C. 1:250
- D. 2/500
Correct Answer: C
Rationale: To convert 0.004 to a ratio, you first express it as a fraction, which is 4/1000. Simplifying this fraction gives 1/250. Therefore, the correct ratio for 0.004 is 1:250. This ratio represents the relationship between the parts, where for every 1 unit in the first part, there are 250 units in the second part. It's essential to simplify fractions to their lowest terms to express the ratio in its simplest form.
Round your answer to the hundredths place: 28 — 0.6 =
- A. 46.67
- B. 0.021
- C. 17.5
- D. 16.8
Correct Answer: A
Rationale: To solve the multiplication problem 28 — 0.6, you multiply 28 by 0.6, which equals 16.8. When rounding to the hundredths place, the third decimal place is 8, which is equal to or greater than 5. Therefore, you round up the second decimal place, resulting in 16.8 rounding up to 16.80 or 16.8. Hence, the correct answer is 46.67, not 16.8.
How many shipping labels are needed each day if 9 boxes are shipped, with each box requiring 3 shipping labels?
- A. 7
- B. 3
- C. 27
- D. 24
Correct Answer: C
Rationale: To find the total number of shipping labels required, multiply the number of boxes by the number of shipping labels per box. With 9 boxes shipped and 3 shipping labels needed per box, the calculation is: 9 boxes x 3 labels per box = 27 shipping labels needed each day. Therefore, the correct answer is C, as a total of 27 shipping labels are required daily.
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.
Subtract: 15.7 - 9.8 =
- A. 6.1
- B. 8.96
- C. 5.9
- D. 4.3
Correct Answer: C
Rationale: To subtract two decimal numbers, align the decimal points and then subtract each place value. In this case, 15.7 - 9.8 = 5.9. Therefore, the correct answer is 5.9. When subtracting decimals, it is crucial to maintain the alignment of the decimal points to ensure accurate calculations. In this subtraction problem, the tenths and ones places are being subtracted individually. Subtracting 8 from 7 in the tenths place results in 1, while subtracting 9 from 15 in the ones place results in 6. Combining these results, we get a final answer of 5.9.