Answer: The required equation is
![x=(7*12-34.5)/8(1)/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/fu7xo7goberxbzn638jdnm3uj01xtess3z.png)
Maria can cut 6 sections from the remaining rope.
Explanation:
The total length of rope = 7 feet
since 1 feet = 12 inches
Therefore, 7 feet=
![7* 12=84\ inches](https://img.qammunity.org/2020/formulas/mathematics/high-school/ic51dmbixicidkcqu92jknfd83ovqegdpk.png)
Let x be the number of sections.
Since the instructions are to use 34.5 inches of rope to tie a tarp on top the the tent. Then, the remaining rope should be cut 8 1/4 inch sections to tie tent to stakes in the ground.
then the required equation will be
![x=(7*12-34.5)/8(1)/(4)\\\Rightarrow\ x=(84-34.5)/ (33)/(4)\\\Rightarrow\ x=49.5/8.25\\\Rightarrow\ x=6](https://img.qammunity.org/2020/formulas/mathematics/high-school/70yhrqmtaoj7ln702pgm9tlvdhcwf5mopn.png)
So, maria can cut 6 sections.