Need help on Algebra?

Length—x:

2(x + x - 4) = 96

2x - 4 = 48

2x = 52

x = 26

Width:

= 26 - 4

= 22

Answer: length, 26 inches; width, 22 inches

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Width—w:

2(w + 3w + 7) = 30

4w + 7 = 15

4w = 8

w = 2

Length:

= 3(2) + 7

= 6 + 7

= 13

Answer: width, 2 inches; length, 13 inches

1) First, let us identify what the question is asking us. The LENGTH of a rectangle is 4 MORE than 3 times the width. That means, L = 3W + 4, while P = 96.

So we should get:

w + w + (3w + 4) + (3w + 4) = 96

8w + 8 = 96

8w = 88

w = 11

Check:

11 x 2 = 22

3(11) + 4 = 37

37 x 2 = 74

74 + 22 = 96 Correct!

Final answer:

w = 11 inches

L = 37 inches

2) It is the same procedure. The length of a rectangle is 7 inches MORE than three TIMES the width; perimeter is 30 inches.

We should get

L = 3w + 7

and

W = w

Now we add...

w + w + (3w + 7) + (3w + 7) = 30

8w + 14 = 30

8w = 16

w = 2

Now to solve for the length. We should get

3(2) + 7 = 13

Check answer:

2 + 2 + [3(2) + 7] + [3(2) + 7] = ?

4 + 13 + 13 = 30

Final answer:

W = 2 inches

L = 13 inches.

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Whenever we see the word MORE, it always means +.

Whenever we see the word TIMES, it always means x.

Whenever we see the word IS or SUM, it always means =

Whenever we see the word DIFFERENCE, it always means -

For increasing cubic binomials the final formulation is as follows: (a + b) ^ 3 = a^3 + 3*a^2*b^a million + 3*a^a million*b^2 + b^3 on your case, a is x and b is -y^5 So (x - y^5)^3 = x^3 + 3*x^2*(-y^5)^a million + 3*x^a million*(-y^5)^2 + (-y^5)^3 Simplified: =x^3 - 3x^2*y^5 + 3x*y^10 - y^15 :D

8x+8=96 (hopefully you can finish it to find x)

L= 3x+4 (plug in x into this to find the actual number)

W= x

8x+14=30

L= 3x+7

W= x