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babunello [35]
3 years ago
13

A cable installer charges 42.50 per hour plus a 60.00 service charge , find the total charges of it takes the cable installer 3.

5 hours to complete
Mathematics
1 answer:
g100num [7]3 years ago
5 0
\bf \begin{array}{ccllll}
hour&cost\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1&42.50\\
3.5&x
\end{array}\implies \cfrac{1}{3.5}=\cfrac{42.50}{x}

so... that'll give you the hourly charges
now, he also charges a $60 fixed amount
so, whatever you get in hourly charges, add 60 to that, and that's
the total bill
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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 Properties

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  • Division Property of Equality
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Step-by-step explanation:

<u>Step 1: Define</u>

2(k - 5) + 3k = k + 6

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

  1. Distribute 2:                               2k - 10 + 3k = k + 6
  2. Combine like terms:                  5k - 10 = k + 6
  3. Subtract <em>k</em> on both sides:          4k - 10 = 6
  4. Add 10 on both sides:               4k = 16
  5. Divide 4 on both sides:             k = 4

<u>Step 3: Check</u>

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

  1. Substitute in <em>k</em>:                    2(4 - 5) + 3(4) = 4 + 6
  2. (Parenthesis) Subtract:       2(-1) + 3(4) = 4 + 6
  3. Multiply:                               -2 + 12 = 4 + 6
  4. Add:                                     10 = 10

Here we see that 10 does indeed equal 10.

∴ k = 4 is the solution to the equation.

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