Answer:
Option D is correct.
Explanation:
Given the statement
“the sum of seven times a number and five, divided by the sum of negative two times the number and eleven”
we have to choose the correct option.
Let a number be x
Therefore the sum of seven times a number and five is
![7x+5](https://img.qammunity.org/2019/formulas/mathematics/middle-school/aejp8xq2frmyv3jyfbuahpxyg7n7evwz0r.png)
Also the sum of negative two times the number and eleven
![-2x+11](https://img.qammunity.org/2019/formulas/mathematics/middle-school/3kmuyxrdz02zy0q724aetn2snhmz1nwcou.png)
Now, the statement “the sum of seven times a number and five, divided by the sum of negative two times the number and eleven” can be written as
![((7x+5))/((-2x+11))](https://img.qammunity.org/2019/formulas/mathematics/middle-school/e64etbz4n1mihol026cw9sz542uroqx2wy.png)
which is required expression.
Hence, option D is correct.