Step-by-step explanation:
p/2 = 3/4 + p/3
p/2 - p/3 = 3/4
(3p - 2p )/6 = 3/4
p/6 = 3/4
multiply both sides by 6
p = 3×6/4
=18/4
=9/2
=4.5
Answer:
Pretend the y-axis is a mirror
If the original shape is
P=4,-2
Z=5,-4
M=4,-4
The new image made by mirroring it will be
P’= -4,-2
Z’= -5,-4
M’= -4,-4
Step-by-step explanation:
Sorry if this doesn’t make sense, just graph P’, Z’, and M’ for a mirrored image
Answer:
1 3/5
Step-by-step explanation:
Anything larger than 1 multiplied by 3 1/4 would result in a number more than 3 1/4.
Answer:
A. 
Step-by-step explanation:
The formula for the volume of a cylinder is the formula for the area of the circle, times the height of the cylinder. The formula for the volume of a circle is,

Multiply that by the height to find the formula for the volume of a cylinder,

Where (pi) represents the value (3.1415), (r) represents the radius, and (h) represents the height of the cylinder. Now substitute in the given values, remember, this problem gives the diameter of the cylinder, divide that value by two to find the radius.

Answer:
Austin will have to buy 180 squares of carpeting.
Step-by-step explanation:
First find the dimension of the room. We do that by multiplying the width times the length and then subtracting the cut out region in the top right. And, in order to know how big that region we cut out is, we have to do a little subtraction.
We know the room is 18' long on the left side and 12' long on the right side. We subtract 12 from 18 to get 6, and we know that the cut out region is 6' long. We do the same thing with the width, 25' wide at the bottom minus 10' wide at the top and we see that the cut out is 15' wide.
18 x 25 = 450
6 x 15 = 90
450 - 90 = 360. The area of the room is 360 
Each piece of carpet is 2' by 1'. So for every 2' long, the piece of carpet is 1' wide. Each carpet piece will cover 2
. Divide 360 by 2 and you get 180.