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sergejj [24]
3 years ago
7

Will mark brainlest

Mathematics
2 answers:
Naya [18.7K]3 years ago
8 0

Answer:

Option C is correct

y = 15x

Step-by-step explanation:

Direct variation states that:

y \propto x          ......[1]

then, the equation is in the form of:

y=kx, where k is the constant of variation.

From the given table :

consider any points;

x = 9 and y = 135

Substitute these in [1] we have;

135 = 9k

Divide both sides by 9 we have;

15 = k

or

k = 15

then, the equation we have; y = 15x

Therefore,  the constant of proportionality for the table and write in the form y = kx is, y = 15x

aleksklad [387]3 years ago
7 0

Divide y by x:

150/10 = 15

135/9 = 15

30 /2 = 15

They all equal 15


This means the constant of proportionality would be y = 15x


The answer is C.

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hodyreva [135]

Answer:

The correct answer is:

y=\frac{-x+t}{z} \\

Step-by-step explanation:

We want to solve for the amount of money he pays each month. This is represented by y in the equation. This means we want to isolate y in the equation:

x = t - yz

We first want to subtract t from each side:

x - t = t - yz - t

x - t = -yz

Now we want to cancel the negative sign and z. We can isolate both of these at the same time; divide both sides by -z:

\frac{x-t}{-z} = \frac{-yz}{-z} \\ \\\frac{x-t}{-z}=y

We can divide the numerator by the negative sign; this gives us

\frac{-x+t}{z}=y

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Read 2 more answers
A room is 18 ft long, 14 ft wide, and 8 ft high.
Nonamiya [84]
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
4 0
3 years ago
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