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barxatty [35]
2 years ago
10

Suppose PV =NRT, where P=8, V=2X, N=2 and R=2X.you are given X=3. Solve for T

Mathematics
1 answer:
FromTheMoon [43]2 years ago
7 0

Answer:  T = 4

Step-by-step explanation:

1. Write all the variables down

P = 8  V = 2X  N = 2  R = 2X  X = 3

2. Since you know that X = 3 substitute it in to find V and R

V = 2X = 2(3) = 6

R = 2X = 2(3) = 6

3. Find PV

PV = P x V

     = 8 x 6

     = 48

4. Find NRT

NRT = N x R x T

       = 2 x 6 x T

       = 12 x T

       = 12T

5. Find T

PV = NRT

48 = 12T

12T = 48

divide both sides by 12

  T = 48 ÷ 12

  T = 4

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3 years ago
The price of the box of 15 stickers is $6. The price of the box of 25 stickers is $8. All prices are without tax, and the price
spayn [35]

<u><em>Answer:</em></u>

A box of 50 stickers would cost $13

<u><em>Explanation:</em></u>

<u>1- getting the equation representing the price:</u>

We have two variables; the number of stickers and the price of the box

We can note that the price is the dependent variable (y) while the number of stickers is the independent one (x)

<u>We are given that:</u>

A box of 15 stickers cost $6..........> first point is (15,6)

A box of 25 stickers cost $8 ........> second point is (25,8)

The general equation of the linear line is:

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<u>i. getting the slope:</u>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{8-6}{25-15}=0.2

The equation now became: y = 0.2x + c

<u>ii. getting the y-intercept:</u>

To get the y-intercept, use any of the given points and substitute in the equation we got in part i. I will use the point (15,6)

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<u>2- getting the price of a box with 50 stickers:</u>

To get the price of a box of 50 stickers, simply substitute with x = 50 in the equation we got from part 1

<u>This is done as follows:</u>

y = 0.2(50) + 3 = 13

Therefore, a box of 50 stickers will cost $13

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