Answer:
x = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
0.4(12 - 3x) = 0.3(12x - 16)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 4.8 - 1.2x = 3.6x - 4.8
- Add 1.2x on both sides: 4.8 = 4.8x - 4.8
- Add 4.8 on both sides: 9.6 = 4.8x
- Divide 4.8 on both sides: 2 = x
- Rewrite: x = 2
Here, we can split this parallelogram into two triangles and one rectangle. The triangles are equal to each other so we can just find the area of the rectangle and the are of <span>one triangle.
</span>Triangle area formula:

, where a = area, b=base, and h=height.
Plug in 5 for b and 11 for h:

<span>Multiply by 2!
</span>

Rectangle area formula: a=bh, where a = area, b = base, and h = height.
Plug in 4 for b and 11 for h.
a = 4 x 11
a = 44
44+55 = 99
Area is 99 cm<span>².</span>
Answer:
Part a) We should try to eliminate the y's because the coefficients are the same
Part b) The solution is the point (6,-9)
Step-by-step explanation:
Part a) Which variable pair should we try to eliminate?
we have
----> equation 1
----> equation 2
Solve by elimination
We should try to eliminate the y's because the coefficients are the same
Part b) What is the solution to the system?
Multiply equation 2 by -1 both sides

-----> equation 3
Adds equation 1 and equation 3

Find the value of y
![8x+2y=30[/tex[tex]8(6)+2y=30](https://tex.z-dn.net/?f=8x%2B2y%3D30%5B%2Ftex%3C%2Fp%3E%3Cp%3E%5Btex%5D8%286%29%2B2y%3D30)


The solution is the point (6,-9)