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Answer :
Sure! Let's solve the problem step-by-step:
1. Understanding the Problem:
- Each piece of ribbon Paula cut from the spool reduces the length of the ribbon by 1.2 feet.
- The total change in the length of the ribbon on the spool is [tex]\(-9 \frac{3}{5}\)[/tex] feet.
2. Convert the Fraction to a Decimal:
- Before proceeding, convert the mixed number [tex]\(-9 \frac{3}{5}\)[/tex] to a decimal.
- The fractional part [tex]\(\frac{3}{5}\)[/tex] is equal to 0.6.
- So, [tex]\(-9 \frac{3}{5}\)[/tex] is equal to [tex]\(-9.6\)[/tex] feet.
3. Calculate the Number of Pieces:
- To find out how many pieces of ribbon Paula cut, divide the total change in length by the change in length per piece:
[tex]\[
\text{Number of pieces} = \frac{\text{Total change in ribbon}}{\text{Change per piece}} = \frac{-9.6}{-1.2}
\][/tex]
4. Perform the Division:
- Divide [tex]\(-9.6\)[/tex] by [tex]\(-1.2\)[/tex]:
[tex]\[
\frac{-9.6}{-1.2} = 8
\][/tex]
5. Conclusion:
- Paula cut 8 pieces of ribbon from the spool.
That's how you can determine the number of pieces Paula cut based on the change in ribbon length!
1. Understanding the Problem:
- Each piece of ribbon Paula cut from the spool reduces the length of the ribbon by 1.2 feet.
- The total change in the length of the ribbon on the spool is [tex]\(-9 \frac{3}{5}\)[/tex] feet.
2. Convert the Fraction to a Decimal:
- Before proceeding, convert the mixed number [tex]\(-9 \frac{3}{5}\)[/tex] to a decimal.
- The fractional part [tex]\(\frac{3}{5}\)[/tex] is equal to 0.6.
- So, [tex]\(-9 \frac{3}{5}\)[/tex] is equal to [tex]\(-9.6\)[/tex] feet.
3. Calculate the Number of Pieces:
- To find out how many pieces of ribbon Paula cut, divide the total change in length by the change in length per piece:
[tex]\[
\text{Number of pieces} = \frac{\text{Total change in ribbon}}{\text{Change per piece}} = \frac{-9.6}{-1.2}
\][/tex]
4. Perform the Division:
- Divide [tex]\(-9.6\)[/tex] by [tex]\(-1.2\)[/tex]:
[tex]\[
\frac{-9.6}{-1.2} = 8
\][/tex]
5. Conclusion:
- Paula cut 8 pieces of ribbon from the spool.
That's how you can determine the number of pieces Paula cut based on the change in ribbon length!
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