Answer :
Sure! Let's solve the question step-by-step.
1) a) Rule:
Toshi starts with a total of 100 cm of ribbon. He cuts the ribbon into 5 equal lengths, and each length is [tex]\( y \)[/tex] cm.
To find out how much ribbon is left after making these cuts, we can use the following formula:
[tex]\[ \text{Ribbon left} = \text{Total ribbon} - (\text{Number of pieces} \times \text{Length of each piece}) \][/tex]
So, the rule for the length of ribbon that Toshi has left is:
[tex]\[ \text{Ribbon left} = 100 - 5 \times y \][/tex]
This formula gives us the length of ribbon left after cutting the 5 pieces, each of length [tex]\( y \)[/tex].
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1) b) How much ribbon is left if [tex]\( y = 12 \, \text{cm} \)[/tex]?
We need to substitute [tex]\( y = 12 \, \text{cm} \)[/tex] into the rule we derived.
[tex]\[ \text{Ribbon left} = 100 - 5 \times 12 \][/tex]
First, calculate the total length of the pieces cut off:
[tex]\[ 5 \times 12 = 60 \][/tex]
Now, subtract that from the initial length of the ribbon:
[tex]\[ 100 - 60 = 40 \][/tex]
Therefore, there are [tex]\( 40 \, \text{cm} \)[/tex] of ribbon left.
1) a) Rule:
Toshi starts with a total of 100 cm of ribbon. He cuts the ribbon into 5 equal lengths, and each length is [tex]\( y \)[/tex] cm.
To find out how much ribbon is left after making these cuts, we can use the following formula:
[tex]\[ \text{Ribbon left} = \text{Total ribbon} - (\text{Number of pieces} \times \text{Length of each piece}) \][/tex]
So, the rule for the length of ribbon that Toshi has left is:
[tex]\[ \text{Ribbon left} = 100 - 5 \times y \][/tex]
This formula gives us the length of ribbon left after cutting the 5 pieces, each of length [tex]\( y \)[/tex].
---
1) b) How much ribbon is left if [tex]\( y = 12 \, \text{cm} \)[/tex]?
We need to substitute [tex]\( y = 12 \, \text{cm} \)[/tex] into the rule we derived.
[tex]\[ \text{Ribbon left} = 100 - 5 \times 12 \][/tex]
First, calculate the total length of the pieces cut off:
[tex]\[ 5 \times 12 = 60 \][/tex]
Now, subtract that from the initial length of the ribbon:
[tex]\[ 100 - 60 = 40 \][/tex]
Therefore, there are [tex]\( 40 \, \text{cm} \)[/tex] of ribbon left.
