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NISA [10]
3 years ago
12

What is the slope? Simplify your answar and write it as a proper fraction, improper fraction, or intiger.​

Mathematics
1 answer:
FrozenT [24]3 years ago
6 0

Answer:

\displaystyle m = \frac{1}{2}

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

<u>Algebra I</u>

Coordinate Planes

  • Reading a graph
  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify points from graph.</em>

Point (20, 0)

Point (100, 40)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{40 - 0}{100 - 20}
  2. [Order of Operations] Simplify:                                                                        \displaystyle m = \frac{40}{80}
  3. Simplify:                                                                                                             \displaystyle m = \frac{1}{2}
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Senior tickets (x)

Child tickets (y)

First day:  3x + 5y = 70

second day: 12x + 12y = 216

Solve the system of equations (use elimination)

Multiply first equation by -4   -4(3x + 5y = 70),  which makes it

-12x - 20y = -280

(+)12x + 12y = 216    add to second equation

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divide by -8.    y = 8

Plugin the y value to either equation ( I will choose first equation)

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3x = 30

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