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Anna35 [415]
3 years ago
14

Solve: 5(w +2.2) – 4w = 9.3. Provide your answer below: W =

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0

Answer:

w = -1.7

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Property

Step-by-step explanation:

<u>Step 1: Define</u>

5(w + 2.2) - 4w = 9.3

<u>Step 2: Solve for </u><em><u>w</u></em>

  1. Distribute 5:                      5w + 11 - 4w = 9.3
  2. Combine like terms:         w + 11 = 9.3
  3. Isolate <em>w</em>:                           w = -1.7

<u>Step 3: Check</u>

<em>Plug in w into the original equation to verify it's a solution.</em>

  1. Substitute in <em>w</em>:                   5(-1.7 + 2.2) - 4(-1.7) = 9.3
  2. (Parenthesis) Add:              5(0.5) - 4(-1.7) = 9.3
  3. Multiplication:                      2.5 + 6.8 = 9.3
  4. Addition:                              9.3 = 9.3

Here we see that 9.3 does indeed equal 9.3.

∴ w = -1.7 is the solution to the equation.

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