Answer:
width = 5 in
length = 5+4=9 in
height = 2(5)= 10 in
Step-by-step explanation:
A gift box has a volume of 450 cubic inches.
Let 'w' be the width of the box
The width of the box is 4 inches less than the length.

The height is twice the width.

height = 2w
Volume of box = length times width times height






w=5
, this gives two complex values
so width = 5
length = 5+4=9
height = 2(5)= 10
Answer:
x = 1
Step-by-step explanation:
Subtract 10 from 8 to get -2. Then divide -2x by itself so it will cancel out. Whatever you do to one side of the equation, do to the other so divide -2 by -2 to get your answer of 1
Answer:
(x, y) = (-4, 15)
Step-by-step explanation:
The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.
(3x +y) -(2x +y) = (3) -(7)
x = -4 . . . . . . . . simplify
Now, we can find y by substituting this value for x.
2(-4) +y = 7
y = 7 +8 = 15 . . . . . add 8 to both sides of the equation
The solution is (x, y) = (-4, 15).
Answer:
1) 
2) 
3) 
4) 40
5) 
Step-by-step explanation:
1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:

2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:

3) Apply the Distributive property and the Product property of exponents. Then, you obtain:

4)
is a square of a sum, then, by definition you have:

Then:

The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40
5) Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:
