Multiple Representations. Tables, Graphis, Table A
Table B
Х
у
х
у
1
1
3
3
2
6
6
2
3
9
9
3
Graph A
Graph B
12
11
10
9
12
11
10
9
8
8
7
7
6
6
Р
5
5
4
4
3
2
2
1 2 3 4 5 6 7 8 9 10 11 12
1 2 3 4 5 6 7 8 9 10 11 12
One carnival-ride ticket costs $3. Use x to represent the number of tickets and
y to represent the total money spent.
Which equation, table, and graph represent the amount of money spent on
carnival-ride tickets?
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the distance between point a and point b is 6 units

73.0769230769% of the games were won

simplifying

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

reorder the terms:

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

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

c

step-by-step explanation: