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Lemur [1.5K]
3 years ago
10

2.2x-10=0.2x +14 and -4x+5=x-5

Mathematics
1 answer:
Tcecarenko [31]3 years ago
5 0

Answer:x=12 and x=2

Step-by-step explanation:

2.2x-10=0.2x+14

2.2x-10-(0.2x+14)=0

2.2x-0.2x-14-10=0

2x-24=0

2x=24

x=24/2

x=12

-4x+5=x-5

-4x+5-(x-5)=0

-4x-x+5+5=0

-5x+10=0

-5x=-10

x=-10/-5

x=2

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4 years ago
A room is 18 ft long, 14 ft wide, and 8 ft high.
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A) The answer is $38.95
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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
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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:
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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:
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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:
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- 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
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