We need to find the value of the expression:
[tex]\frac{x+4}{10-x}[/tex]when x = 5.
In order to do so, we can replace x with 5 in the expression above. We obtain:
[tex]\frac{5+4}{10-5}=\frac{9}{5}[/tex]This is the value written as a fraction. We can divide 9 by 5 to obtain the number:
[tex]\frac{9}{5}=1.8[/tex]We can also write it as a mixed number:
[tex]\frac{9}{5}=\frac{5+4}{5}=\frac{5}{5}+\frac{4}{5}=1+\frac{4}{5}=1\frac{4}{5}[/tex]Answer:
[tex]\begin{equation*} 1\frac{4}{5} \end{equation*}[/tex]