Answer: The Last option is the only option equivalent to that equation.
Answer:

<h3>
Step-by-step explanation:</h3>
<u>Given:</u>
To find the area of the rug, we need to use the formula "πr² or π(D/2)²"
<u>Where:</u>
Since we do not have the radius, we need to substitute the diameter in the formula "π(D/2)²" to determine the area of the rug.
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Substituting "22/7" as π:
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When finding the area of ANY shape, do not forget to include the units.
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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