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: 375
Step-by-step explanation:
Since we are given the information that there are 250 bricks used to build a wall 20 feet high, the number of brick used per feet will be:
= 250/20
= 12.5 bricks per feet.
Therefore, the number of bricks that will be used to buld a wall that is 30 fet high will be:
= 12.5 × 30
= 375 bricks.
Therefore, 375 bricks would be used.
The relationship between arc, radius, and central angle in radians is:
Θ = s/r
So just plugging in the values:
Θ = (5π/3)/7 = 5π/21 ≈ 0.748 or 0.7
Answer:
The answer is 450 pi square feet
Step-by-step explanation:
