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.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4

0 and 5 minutes

step-by-step explanation:

given that one morning eight buses arrive late by the number of minutes given below:

0 8 2 6 9 2 0 7 8

write these in ascending order

0   0 2 6 7 8 8 9

in the afternoon two more buses arrive at the bus stop say by x and y minutes late.

total number of buses = 10

median = average of 4th and 5th after arranging in ascending order

since 4th entry is 6, the values of x and y should be below 6

also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode

thus we have

0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.

since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2

thus the after noon buses were late by 0 and 5 minutes.