hello
to solve this question, we need to pick each option and simplify it and see if the answer corresponds
a
![\begin{gathered} a.\text{ }(x)/(3)+10 \\ x=15 \\ a=(15)/(3)+10=5+10=15 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/5wupem41llsb9uwbikximqajc47ykyqdbu.png)
option A is correct, let's test for option b
![\begin{gathered} b \\ (15521)/(x) \\ x=15 \\ (15521)/(15)=1034.73 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/odj5v6o01ccwx0n869j06fu62rcbgma8sl.png)
option b does not corresponds to 15 hence it's a wrong option.
let's move to option c
![\begin{gathered} ((3015)/(x))-186 \\ x=15 \\ (3015)/(15)-186=201-186=15 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/9427433g02y7dold7c168oqea7iaowzjvl.png)
option C is correct since the value of the expression is equal to 15
let's check for option D
![\begin{gathered} (20x^2)/(30) \\ x=15 \\ (20(15)^2)/(30)=(20*225)/(30)=(6750)/(30)=225 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3mu0nylcru5wnoiir74t7gjvrt8jnxf4vd.png)
option D does not corresponds to 15 and it's a wrong option
let's check for option E
![\begin{gathered} (2x^2)/(5)-25 \\ x=15 \\ (2*15^2)/(5)-25=(2*225)/(5)-25=90-25=65 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/pcg5dvxxfn7fbpmbtwbjjmxhrdn5yhfk2x.png)
option E is also incorrect
from the calculations above, only option A and C are correct