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Answer :
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1. Initial Setup:
- Olivia starts with a roll of ribbon that is 9 meters long.
2. First Cut:
- Olivia cuts 8 pieces of ribbon, each 0.8 meters long.
3. Calculate Ribbon Used for the First Cut:
- To find out how much ribbon was used, multiply the number of pieces by the length of each piece:
[tex]\[
8 \text{ pieces} \times 0.8 \text{ meters/piece} = 6.4 \text{ meters}
\][/tex]
4. Remaining Ribbon:
- Subtract the ribbon used from the original length to determine how much ribbon is left:
[tex]\[
9 \text{ meters} - 6.4 \text{ meters} = 2.6 \text{ meters approximately}
\][/tex]
5. Second Cut:
- Next, Olivia cuts the remaining ribbon into pieces, each 0.4 meters long.
6. Calculate Number of 0.4-meter Pieces:
- Divide the remaining ribbon length by the length of each piece:
[tex]\[
\frac{2.6 \text{ meters}}{0.4 \text{ meters/piece}} = 6.5 \text{ pieces approximately}
\][/tex]
Therefore, Olivia can cut about 6 full pieces of ribbon, each 0.4 meters long, from the remaining ribbon. However, since we typically can't count a fraction of a physical piece in real situations, Olivia can have 6 full pieces, with a small leftover that is not enough for another complete piece.
1. Initial Setup:
- Olivia starts with a roll of ribbon that is 9 meters long.
2. First Cut:
- Olivia cuts 8 pieces of ribbon, each 0.8 meters long.
3. Calculate Ribbon Used for the First Cut:
- To find out how much ribbon was used, multiply the number of pieces by the length of each piece:
[tex]\[
8 \text{ pieces} \times 0.8 \text{ meters/piece} = 6.4 \text{ meters}
\][/tex]
4. Remaining Ribbon:
- Subtract the ribbon used from the original length to determine how much ribbon is left:
[tex]\[
9 \text{ meters} - 6.4 \text{ meters} = 2.6 \text{ meters approximately}
\][/tex]
5. Second Cut:
- Next, Olivia cuts the remaining ribbon into pieces, each 0.4 meters long.
6. Calculate Number of 0.4-meter Pieces:
- Divide the remaining ribbon length by the length of each piece:
[tex]\[
\frac{2.6 \text{ meters}}{0.4 \text{ meters/piece}} = 6.5 \text{ pieces approximately}
\][/tex]
Therefore, Olivia can cut about 6 full pieces of ribbon, each 0.4 meters long, from the remaining ribbon. However, since we typically can't count a fraction of a physical piece in real situations, Olivia can have 6 full pieces, with a small leftover that is not enough for another complete piece.
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