A) The answer is $38.95 Two walls have dimensions: 14 ft x 8 ft, each with area A1 = 14 · 8 = 112 ft² Two walls have dimensions: 18 ft x 8 ft each with area A2 = 18 · 8 = 144 ft² The area that needs to be painted is: A = 2A1 + 2A2 = 2*112 + 2*144 = 224 + 288 = 512 ft² Since you need two coats of paint, total area that needs to be painted is 512 × 2 = 1024 ft²
Now, make a proportion: If 1 gallon covers 250 ft², how many gallons will cover 1024 ft² 1 : 250 = x : 1024 x = 1024/250 = 4.096 gallons ≈ 4,1 gallons
Since 1 gallon costs $9.50, 4.1 gallons will cost $38.95: $9.50 × 4.1 gallons = $38.95
b) The answer is $1,260. The dimensions of the floor are: 18 ft × 14 ft Therefore, the area that needs to be covered with carpet is: A = 18 · 14 = 252 ft² Since 1 ft² costs $5, that means that 252 ft² will cost $1,260: 252 ft² × $5 = $1,260
c) The answer is $1,890. The ceiling will have the same dimensions and the same area as the floor. The dimensions of the ceiling are: 18 ft × 14 ft Therefore, the area that needs to be covered is: A = 18 · 14 = 252 ft² Since 1 ft² costs $7.50, that means that 252 ft² will cost $1,890: 252 ft² × $7.5 = $1,890
d) The answer is $3,188.95. We now know that: - the cost of painting the four walls with two coats of paint is: $38.95 - the cost of carpeting the floor with carpet is: $1,260 - the cost of ceiling with acoustic tile is: $1,890 All we have to do is to sum it up to find the total cost of renovating the walls,floor, and ceiling: $38.95 + $1,260 + $1,890 = $3,188.95
X would be -4 because if you distribute 2 to (-3x-4) it would give you (-6x-8) and then collecting like terms you would get (x-8=-12) then you would add 8 to -12 whih would equal -4.