Answer:
[tex]\frac{51}{10}[/tex]m
Step-by-step explanation:
Given parameters:
Length of rope = 11m
First length cut off = [tex]\frac{13}{5}[/tex]m
Second length cut off = [tex]\frac{33}{10}[/tex]m
Unknown:
Remaining length = ?
Solution:
Let us find the total length cut off first;
= [tex]\frac{13}{5}[/tex]m + [tex]\frac{33}{10}[/tex]m
= [tex]\frac{26 + 33}{10}[/tex]
= [tex]\frac{59}{10}[/tex]m
So,
Remaining length = 11 - [tex]\frac{59}{10}[/tex]
= [tex]\frac{110 - 59}{10}[/tex]
= [tex]\frac{51}{10}[/tex]m