Answer:
the formula for the volume of a prism is V=Bh
Step-by-step explanation:
B is the base area and h is the height so look for the height and base area of the shape and that's how you will find out the volume of the prism
Answer:
Shifted up is the correct answer
Answer:
$450
Step-by-step explanation:
First, write out an equation. We know that Hannah and Zach together earnes $950 and they get payed in equal hourly rates, so for now, in this step of solving the problem, we will be adding the number of hours each person worked together.
Hannah worked 10 hrs and Zach worked 9 hrs, so add 10+9 to get 19 hrs worked in all between the two of them.
Let "x" represent the amount of money made each hour, and form your equation.
Your equation would be: 
Then, just solve for "x". Divide both sides by 19.

The "x=50" means that Hannah and Zach each earn $50 per hour.
Now, the question asks us to find the amount of money that Zach made. So, multiply 50 by only the number of hours Zach worked, which is 9.

That means that Zach made a total of $450.
Answer:
x = -1.5
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
0.2x + 1 = 1.6x + 3.1
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 0.2x on both sides: 1 = 1.4x + 3.1
- Subtract 3.1 on both sides: -2.1 = 1.4x
- Divide both sides by 1.4: -1.5 = x
- Rewrite: x = -1.5
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitution: 0.2(-1.5) + 1 = 1.6(-1.5) + 3.1
- Multiply: -0.3 + 1 = -2.4 + 3.1
- Add: 0.7 = 0.7
Base: B=24-2x
Height= H=36-2x
Area of paper that can be painted: A=BH
A=(24-2x)(36-2x)
A=864-48x-72x+4x^2
A=4x^2-120x+864
Answer: The area of paper that can be painted is 4x^2-120x+864