Solve v by simplifying both sides of the equation, then isolating variable
v= -5
None of these answers are correct. are you sure these are your answer choices?
C is the answer because it has contractions
Answer:
A .
length : 2x + 2 + x - 4 + x-2
= 2x + 2 + - 4 + x-2
= 2x + x - 4 + x - 2
= 4x -6
width : x - 2 + x
= 2x -2
B.
to find the perimeter
perimeter of rectangle = 2 ( l + b)
= 2 (4x -6 + 2x -2)
= 2 ( 6x - 8)
= 12x - 16
perimeter of Marlene's house in simplest form is 12x - 16
C.
perimeter = 142 finding the value of x ..
142 = 12x - 16
12x = 142 + 16
12x = 158
x = 158/12
x = 13.16
22.
area of living room = length × breadth
= 2x + 2 ×x
= 2 (13.16) + 2 × 13.16 (distributive property used)
= 26.32 + 2 × 13.16
= 28.32 × 13.16
= 372.6912
area of her living room = 372.6912
23. to find the length and width of Marlene's living room
length = 2x + 2
= 2 (13.16) + 2
= 26.32 + 2
= 28.32
Width = x
= 13.16
A .
The actual length of her living room is 28.32
The actual width of her living room is 13.16
B.
The actual area of Marlene's Living room is 372.6912 feet (given above) using actual dimensions
24.
Actual area of living room = length × breadth
= 2x + 2 ×x
= 2 (13.16) + 2 × 13.16 (distributive property used)
= 26.32 + 2 × 13.16
= 28.32 × 13.16
= 372.6912
Actual area of her living room = 372.6912
25.
Yes the answers to Question 23B and Qestions 24 are same .
We can conclude by saying that the x value doesn't change
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
