1. A rectangular room measures 12 feet by 20 feet. It is going to be covered with carpeting that sells for $8.35 per square foot. a. What is the area of the room in square feet?

b. How much would it cost to carpet the floor?

a). 240sqft b). $2004 (+ labor I guess)

Step-by-step explanation:

the room is rectangular, so it's area is the product of the dimensions

12feet * 20feet = 240sqft

The cost is $8.35 per sqft, so we get

240sqft * $8.35/sqft = $2004

A: 240

B: 1,980

Step-by-step explanation:

Finding the area of a 2d rectangle WxL, So it's 12x20 is 240.

I did 8.35 times the square footage, 240, and gotten 1,980.

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

246

step-by-step explanation: