You want to carpet three rooms of a house. the dimensions are shown in the drawing.

if the carpet sells for $12.85 per square yard, what will be the cost?

$976.60

Step-by-step explanation:

First we find the area of each room.  Each room is rectangular; this means to find the area we multiply the length and width:

16(20) = 320 sq. ft.

14(12) = 168 sq. ft.

14(14) = 196 sq. ft.

This is a total area of 320+168+196 = 684 sq. ft.

The carpet is sold in square yards.  1 square yard is a square whose sides are 1 yard by 1 yard; this is the same as a square whose sides are 3 feet by 3 feet.  This gives us an area of 9 square feet; this means 1 square yard is equal to 9 square feet.

This gives us 684/9 = 76 sq. yd.

Each square yard of carpet is $12.85; this gives us a cost of

76(12.85) = $976.60

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions