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Hunter-Best [27]
2 years ago
13

The Smith family is shopping for a new car and they are basing their decision on color and style. Explain how many color choices

and how many style choices they might have if there are 8 possible outcomes. Justify your answer.
Mathematics
1 answer:
Yanka [14]2 years ago
3 0
Sample response: The Smith family has 2 choices to make, color and style. By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles, or 8 colors and 1 style.
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Start from

-\dfrac{1}{2}(x+5)=2x -\dfrac{3}{2}

It may be useful to multiply the whole expression by 2, in order to get rid of denominators:

-(x+5)=4x -3

Distribute the negative sign in the left hand side:

-x-5=4x -3

Move all terms involving x to the left, and all constants to the right:

-x-4x=-3+5

Sum like terms:

-5x=2

DIvide both sides -5:

x = -\dfrac{2}{5}

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