Judy wants to make a small patio in her garden. she plans to use pavers. the area of the patio is 2p2 + 30p + 108 square meters, and the area of each paver is p2 + 5p − 6 square meters. the number of pavers judy will need is given by the expression
2(p+9)(p-1) (p+9)/(p-1) 2(p+9)/(p+6)

(p+9)/(p+6

In order to determine the number of pavers that Judy will need for the small patio in her garden, we divide the area of the patio by the area of the paver. That is,
                     number of pavers = (2p² + 30p + 108) / (p² + 5p - 6)
We then factor both the numerator and the denominator.
                     n = 2(p + 9)(p + 6) / (p + 6)(p - 1)
We cancel p + 6 in both the numerator and denominator to get an answer of,
                                  2(p + 9) / (p - 1)

We will draw the locations at a distance of 6 inches apart.

Step-by-step explanation:

We are given that,

Distance between Grand Caverns and Culture Museum = 35 kilometers

Now, we are drawing the two locations with a scale of 6 inches representing the distance 35 kilometers.

It is required to find the distance we will draw the locations.

As, we have that,

The 6 inches scale represents the 35 kilometer distance between the locations.

Thus, we will draw the locations at a distance of 6 inches apart.