Answer:
V = 310.5 cm³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Prism Formula: V = lwh
- <em>l</em> is length
- <em>w</em> is width
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>l</em> = 13.8 cm
<em>w</em> = 4.5 cm
<em>h</em> = 5 cm
<u>Step 2: Solve for </u><em><u>V</u></em>
- Substitute in variables [Volume of a Prism Formula]: V = (13.8 cm)(4.5 cm)(5 cm)
- Multiply: V = (62.1 cm²)(5 cm)
- Multiply: V = 310.5 cm³
45.90*0.05=2.295.
The answer is $2.30 when you round it off.
Answer:
y = 2x-3
Step-by-step explanation:
y – 1 = 2(x – 2)
Distribute
y-1 =2x-4
Add 1 to each side
y-1+1 = 2x-4+1
y = 2x-3
Answer:
The consecutive odd integers are (15, 17, 19) or (-17, -15, -13).
Step-by-step explanation:
Let the three consecutive odd integers be: 
The condition given is:
![4[x-2+x+x+2]=3x(x+2)-765](https://tex.z-dn.net/?f=4%5Bx-2%2Bx%2Bx%2B2%5D%3D3x%28x%2B2%29-765)
Solve this for <em>x</em> as follows:
![4[x-2+x+x+2]=3x(x+2)-765\\4\times 3x=3x^{2}+6x-765\\3x^{2}-6x-765=0\\x^{2}-2x-255=0\\x^{2}-17x+15x-255=0\\x(x-17)+15(x-17)=0\\(x-17)(x+15)=0](https://tex.z-dn.net/?f=4%5Bx-2%2Bx%2Bx%2B2%5D%3D3x%28x%2B2%29-765%5C%5C4%5Ctimes%203x%3D3x%5E%7B2%7D%2B6x-765%5C%5C3x%5E%7B2%7D-6x-765%3D0%5C%5Cx%5E%7B2%7D-2x-255%3D0%5C%5Cx%5E%7B2%7D-17x%2B15x-255%3D0%5C%5Cx%28x-17%29%2B15%28x-17%29%3D0%5C%5C%28x-17%29%28x%2B15%29%3D0)
- If
then the value of <em>x</em> is 17.
The odd numbers are:

- If
then the value of <em>x</em> is -15.
The odd numbers are:

Thus, the consecutive odd integers are (15, 17, 19) or (-17, -15, -13).
Answer:
x = -100
You'd multiply both sides by 5/(-4) to solve in one step.