Solidify the W then do the rest of the problem
the answer should be the W
Answer:
3x² + 30x
Step-by-step explanation:
width of a box = x units.
height of a box = 3 units.
length of a box = (x + 10) units.
Volume of the box = length × width × height
= (x + 10) * x * 3
= (x + 10) * 3x
= 3x² + 30x
Volume of the box = 3x² + 30x
Answer:
![3x+2y=315\\\\2x+4y=450](https://tex.z-dn.net/?f=3x%2B2y%3D315%5C%5C%5C%5C2x%2B4y%3D450)
is the system of equations representing the situation.
Step-by-step explanation:
Given:
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.
Now, to find the system of equations representing the situation.
<u><em>Let the number of haircuts be </em></u>
<u><em /></u>
<u><em>Let the number of hair dyes be </em></u>
<u><em /></u>
So, Alexandra can give 3 haircuts and 2 hair dyes in:
![3x+2y=315.](https://tex.z-dn.net/?f=3x%2B2y%3D315.)
Now, giving 2 haircuts and 4 hair dyes in:
![2x+4y=450.](https://tex.z-dn.net/?f=2x%2B4y%3D450.)
Therefore,
![3x+2y=315\\\\2x+4y=450](https://tex.z-dn.net/?f=3x%2B2y%3D315%5C%5C%5C%5C2x%2B4y%3D450)
is the system of equations representing the situation.
Notice that in the chart, the 2 grey sections (slope and y-intercept) are the two numbers that we need in order to write our equation.
(CHART #1)
We know the slope and a point (x,y). We can use this information to solve for b. Then we can write our equation.
First we will substitute the information that we know (that is in our chart) into the equation, y = mx + b. Then you will solve for b. (CHART #2)
Now we know the slope (m) is -2 because that was given to us. We also now know the y-intercept (b), which is 9 because we just solved for b.
We can now write our equation!
m = -2
b = 9
y = mx + b
y = -2x + 9
<span>9d + d + 2d - 4 = 6d
Add d to 9d
10d+2d-4=6d
Add 2d to 10d
12d-4=6d
Subtract 12d from both sides
-4=-6d
Divide -6 on both sides
Final Answer: 4/6 or 2/3 *Both answers are equivalent to each other.</span>