If a basketball team scores an average (arithmetic mean) of x points per game for n games and then scores y points in its next game, what is the team's average score for the n + 1 games?
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A$$\frac{nx+y}{n+1}$$
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B$$x + \frac{y}{n +1}$$
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C$$x + \frac{y}{n}$$
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D$$\frac{n(x + y)}{n + 1}$$
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E$$\frac{x +ny}{n +1}$$