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Calculate the average of the following three fractions: $$\\\\frac{3}{4}$$, $$\\\\frac{2}{5}$$, $$\\\\frac{7}{10}$$.

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Liam has an average score of 82 on 6 equally weighted English tests. If Mrs. Johnson drops his lowest score of 76, what will his average be for the remaining 5 tests?

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Jordan has a 70 average in Biology before the final exam, which counts for 30% of the overall grade. What score does he need on the final to achieve a final average of 75 in the class?

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If 3 reviewers gave the Cozy Coffee Shop a rating of 2, 6 reviewers a rating of 3, 10 reviewers a rating of 4, and 15 reviewers a rating of 5, what was the mean rating of all the reviewers?

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The average of five consecutive even integers is $$-18$$. What is the greatest of these integers?

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The average of $$a$$ and $$b$$ is $$m$$. If $$c=3m$$, what is the average of $$a, b,$$ and $$c$$ in terms of $$m$$?

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The average of five consecutive even integers is 18. What is the least of these integers?

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Three angles, $$p$$, $$q$$, and $$r$$, share the same vertex and lie along a straight line. If $$p = \\\\frac{3}{4}q$$ and $$q = \\\\frac{1}{2}r$$, how much is $$r - p$$?

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A soccer team has 5 top scoring players. The average (arithmetic mean) goals per game scored by the 5 players during one season are shown in the list below.

12.3, 14.7, 13.5, 15.2, 16.1

There are 12 games during the season. What is the average number of goals scored per player for the season for the 5 top scoring players?

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Diego drives on two types of roads for his trip. He averages 45 miles per hour on local roads and 65 miles per hour on the highway. Diego drives on a trip that includes three times as many highway miles as local road miles. He drives a total of 624 miles. What is his average speed for the entire trip? Round your answer to the nearest whole number.

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