Answer:
x = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
5(x + 4) = -2(-4 - x) + 3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 5x + 20 = 8 + 2x + 3
- Combine like terms: 5x + 20 = 2x + 11
- Subtract 2x on both sides: 3x + 20 = 11
- Subtract 20 on both sides: 3x = -9
- Divide 3 on both sides: x = -3
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 5(-3 + 4) = -2(-4 - -3) + 3
- Simplify: 5(-3 + 4) = -2(-4 + 3) + 3
- Add: 5(1) = -2(-1) + 3
- Multiply: 5 = 2 + 3
- Add: 5 = 5
Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.
And we have our final answer!
Answer:Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b
Step-by-step explanation:
Answer:
Therefore,
Step-by-step explanation:
Given:
0° < θ < 360°
tan θ = 3.5134
To Find:
θ in degrees = ?
Solution:
0° < θ < 360° .............Given
Means ' θ ' is between 0° and 360°
.............Given
Therefore,
Also,
So ' θ ' will have Two values for tan θ =3.5134
Therefore,
Answer:
27$
Step-by-step explanation:
4 ft³
volume of rectangle = length x width x height
given:
volume of basket:
l * w * d
2 * 1 * 2
4 ft³
