Mario is setting up a new tent during a camping trip. the tent came with 7 feet of rope. the instructions were to use 34.5 inches of the rope to tie a tarp on top of the tent. then, the remaining rope should be cut into 8 1/4 inch sections to tie the tent to stakes in the ground. mario will use al the rope as instructed. write and solve an equation to determine the number of 8 1/4 inch sections of rope mario can cut from the rope.

Mario could solve using the following equation:  x=(84-34.5)/8.25 which equals 6.  

Step-by-step explanation:

If the tent comes with 7 feet of rope, we need to first convert that measurement to inches.  Since there are 12 inches in one foot, then 7feet of rope= 7 x 12 = 84 inches.  Of the 84 inches of rope, 34.5 inches of that will be used to tie a tarp on the top of the tent.  With the remaining rope, Mario will need to cut sections that measure 8 1/4 or 8.25 inches.  If 'x' represents the number of sections he can cut, he can set up the equation such that: x = (84-34.5)/8.25, or 6.

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.