Respuesta :

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