Trevor is building a deck. He has enough wood to build a 15 ft2 deck. Trevor wants the deck to be 2 ft longer than it is wide. He sets up the following equations to
help him determine the dimensions of the deck.

x(x + 2) =15
x + 2x -15 =0
where xis the width of the deck in feet.

How wide should Trevor make his deck? To solve for x, first factor the
left side of the equation. Note: The width of the deck must be positive.
Ignore negative values for x.

The deck width is 3

Step-by-step explanation:

Your

x(x + 2) =15

x + 2x -15 =0

should be:

x(x + 2) =15

x^2 + 2x -15 =0.

Factoring this, we get

x^2 + 2x -15 =0 = (x + 5)(x - 3) = 0,

which yields:  x = 3 and x = -5.  As the problem states, we discard the negative root and focus on the positive one (x = 3).

The deck width is 3 and the length is (3 + 2), or 5.

a = 11 : 4

b = 38

c = 1 for every 6

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: