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Answer :
Sure! Let's tackle each part of the questions step-by-step:
12. Ms. Barton and three neighbors purchased a snowblower to share.
- The snowblower costs [tex]$439.20 and there are 4 people sharing it (Ms. Barton and three neighbors).
- To find each person's share, you simply divide the total cost by the number of people. This means \( \frac{439.20}{4} = 109.80 \).
- So, each person needs to pay $[/tex]109.80.
13. Is 100 a reasonable estimate for [tex]\( 915.25 \div 88.22 \)[/tex]?
- The actual division yields a number a bit over 10. Since 100 is much higher than this quotient, it's not a reasonable estimate.
- Thus, 100 is not a reasonable estimate for [tex]\( 915.25 \div 88.22 \)[/tex].
15. Calculate total rain over the 3-day period.
- On Monday, 3.11 inches of rain fell.
- On Tuesday, 0.81 inches of rain fell.
- On Wednesday, twice as much rain fell as on Tuesday, which is [tex]\( 2 \times 0.81 = 1.62 \)[/tex] inches.
- Adding up all the rain gives us [tex]\( 3.11 + 0.81 + 1.62 = 5.54 \)[/tex] inches.
- So, a total of 5.54 inches of rain fell over the three days.
16. Order the cats by weight from least to greatest.
- The weights are: American Shorthair: 13.65 pounds, Persian: 13.07 pounds, and Maine Coon: 13.6 pounds.
- Arranged from least to greatest: Persian (13.07), Maine Coon (13.6), American Shorthair (13.65).
17. Find the better value between 12 pairs of socks for [tex]$35.75 or 8 pairs for $[/tex]31.15.
- Cost per pair for 12 pairs: [tex]\( \frac{35.75}{12} \)[/tex].
- Cost per pair for 8 pairs: [tex]\( \frac{31.15}{8} \)[/tex].
- After comparing, the 12 pairs are a better value because cost per pair is lower.
18. Estimate [tex]\( 197.6 \div 5.48 \)[/tex].
- The closest estimation to use would be to round to numbers that make the division straightforward. [tex]\( 200 \div 5 = 40 \)[/tex].
- Therefore, choice (C) [tex]\( 200 \div 5 = 40 \)[/tex] is the best estimation.
19. What is the best estimate for each piece of a board 78.5 cm long, cut into four equal pieces?
- Divide the length by 4: [tex]\( \frac{78.5}{4} \)[/tex].
- The quotient is around 19.625, which is closest to 20 cm. So, the best estimate is 20 cm per piece.
- Therefore, the choice is (D) 20 cm.
I hope this helps! If you have any other questions, feel free to ask.
12. Ms. Barton and three neighbors purchased a snowblower to share.
- The snowblower costs [tex]$439.20 and there are 4 people sharing it (Ms. Barton and three neighbors).
- To find each person's share, you simply divide the total cost by the number of people. This means \( \frac{439.20}{4} = 109.80 \).
- So, each person needs to pay $[/tex]109.80.
13. Is 100 a reasonable estimate for [tex]\( 915.25 \div 88.22 \)[/tex]?
- The actual division yields a number a bit over 10. Since 100 is much higher than this quotient, it's not a reasonable estimate.
- Thus, 100 is not a reasonable estimate for [tex]\( 915.25 \div 88.22 \)[/tex].
15. Calculate total rain over the 3-day period.
- On Monday, 3.11 inches of rain fell.
- On Tuesday, 0.81 inches of rain fell.
- On Wednesday, twice as much rain fell as on Tuesday, which is [tex]\( 2 \times 0.81 = 1.62 \)[/tex] inches.
- Adding up all the rain gives us [tex]\( 3.11 + 0.81 + 1.62 = 5.54 \)[/tex] inches.
- So, a total of 5.54 inches of rain fell over the three days.
16. Order the cats by weight from least to greatest.
- The weights are: American Shorthair: 13.65 pounds, Persian: 13.07 pounds, and Maine Coon: 13.6 pounds.
- Arranged from least to greatest: Persian (13.07), Maine Coon (13.6), American Shorthair (13.65).
17. Find the better value between 12 pairs of socks for [tex]$35.75 or 8 pairs for $[/tex]31.15.
- Cost per pair for 12 pairs: [tex]\( \frac{35.75}{12} \)[/tex].
- Cost per pair for 8 pairs: [tex]\( \frac{31.15}{8} \)[/tex].
- After comparing, the 12 pairs are a better value because cost per pair is lower.
18. Estimate [tex]\( 197.6 \div 5.48 \)[/tex].
- The closest estimation to use would be to round to numbers that make the division straightforward. [tex]\( 200 \div 5 = 40 \)[/tex].
- Therefore, choice (C) [tex]\( 200 \div 5 = 40 \)[/tex] is the best estimation.
19. What is the best estimate for each piece of a board 78.5 cm long, cut into four equal pieces?
- Divide the length by 4: [tex]\( \frac{78.5}{4} \)[/tex].
- The quotient is around 19.625, which is closest to 20 cm. So, the best estimate is 20 cm per piece.
- Therefore, the choice is (D) 20 cm.
I hope this helps! If you have any other questions, feel free to ask.
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