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djverab [1.8K]
3 years ago
6

Dave was playing checkers with a friend. The ratio of games Dave won was 7:2. If Dave won 35 games, how many games did his frien

d win?
Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0

Answer:

His friend won 10 games.

Step-by-step explanation:

In order to find this, divide the number of games that he won by his part of the proportion (7).

35/7 = 5

5 in this case is the scale factor. We can now multiply his friend's winnings to get the total number of his wins.

5 * 2 = 10

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Answer:

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Step-by-step explanation:

Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

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Next we factor what we can so we can further simplify the rest of the equation:

=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}\\\\=\dfrac{(x+2)(x+2)(3x-12)}{(x^2-6x+8)(6(x+2))}\\\\

We can now cancel out (x+2)

=\dfrac{(x+2)(3x-12)}{(x^2-6x+8)(6)}

Next we factor out even more:

=\dfrac{(x+2)(3)(x-4)}{(x-2)(x-4)(6)}

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

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

And we can now simplify it to:

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3 years ago
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Step-by-step explanation:

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RideAnS [48]

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Step-by-step explanation:

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