Respuesta :
[tex]\frac{x+9}{5} - \frac{x+5}{5}= \frac{x+9-(x+5)}{5}=\frac{x+9-x-5}{5}=\boxed{\frac{4}{5}}[/tex]
Answer:
Given the statement: the quantity of x plus 9, all over 5 − the quantity of x plus 5, all over 5.
The quantity of x plus 9, all over 5 means [tex]\frac{x+9}{5}[/tex]
and
The quantity of x plus 5, all over 5 means [tex]\frac{x+5}{5}[/tex]
Then; we have;
[tex]\frac{x+9}{5}-\frac{x+5}{5}[/tex]
we can write this as ;
[tex]\frac{(x+9)-(x+5)}{5}[/tex]
⇒[tex]\frac{x+9-x-5}{5}[/tex]
Combine like terms;
⇒[tex]\frac{4}{5}[/tex]
therefore the simplified form of the quantity of x plus 9, all over 5 − the quantity of x plus 5, all over 5 is, [tex]\frac{4}{5}[/tex]