Jim's backyard is a rectangle that is 12 5 6 yards long and 10 2 5 yards wide. Jim buys sod in pieces that are 1 1 3 yards long and 1 1 3 yards wide. How many pieces of sod will Jim need to buy to cover his backyard with sod?

75

Step-by-step explanation:

Step-by-step explanation:

In order to cover his backyard with sod, he needs to cover the area of the backyard.

His backyard is a rectangle, and area of a rectangle represented by A is given as l*w

Where,

is the length, and

is the width

So, the area of Jim's backyard is square yards.

l*w=12/5/6*10/2/5=2002/15 or 133.466

The area of each sods are solved using the area of the rectangle formula.

l*w=1/1/3*1/1/3=16/9

To find HOW MANY of these sods we would need to cover the whole backyard, we divide the backyard area by each sod area:

=2002/15 divided by 16 /9=3003/40or 75.075

Since, fractional sods can't be bought, Jim has to buy 75 sods approximately .

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)