We need to find the value of the expression:
![(x+4)/(10-x)](https://img.qammunity.org/2023/formulas/mathematics/college/fzfvd8c12qv41nk71mn41lmp8jtk8hgmh2.png)
when x = 5.
In order to do so, we can replace x with 5 in the expression above. We obtain:
![(5+4)/(10-5)=(9)/(5)](https://img.qammunity.org/2023/formulas/mathematics/college/xzj1r7eapybnnuz4z5oiioxy5tfa5fz5gw.png)
This is the value written as a fraction. We can divide 9 by 5 to obtain the number:
![(9)/(5)=1.8](https://img.qammunity.org/2023/formulas/mathematics/college/5xc8wvfonuvgdpmwsqaylohldvqxrq4dr3.png)
We can also write it as a mixed number:
![(9)/(5)=(5+4)/(5)=(5)/(5)+(4)/(5)=1+(4)/(5)=1(4)/(5)](https://img.qammunity.org/2023/formulas/mathematics/college/eve8ceb2y6i0ippkluahxbw12b3j8r3had.png)
Answer:
![\begin{equation*} 1(4)/(5) \end{equation*}](https://img.qammunity.org/2023/formulas/mathematics/college/qpnaah9u4uyg3e3x310im1etnik43bfbnm.png)