Tim got 5c points for his correct answers, since they are worth 5 points each. similarly, he earned -2w points for his wrong answers, and 0b = 0 points for the questions he left blank. thus we can represent his total points by

5c - 2w = 31

moreover, since there were 10 questions in all,

c + w + b = 10

now finish up

remember, the average score is the sum of all the scores divided by the number of scores.2.Due to a bowling score of 204 in his last game, Remy raised his average from exactly 156 to 158. What score must eh bowl in the next game to raise his overall everage to exactly 159?

Let the sum of his scores before the last game be x and the number of games he played at that point be n, then his average was

now, he played another game, which brings the number of his games to n + 1, moreover, the sum of his scores increased by 204, so that his new average of 158 is described by

with those two equations, you can find x and n, and then use that to answer the question

there are such integers in all (why?)3. Of all four-digit positive integers contaning only digits from the set {2, 4, 6, 8} what fraction of them have at least one of their digits repeated? Exspress ur answer as a common fraction.

there are of those digits that have no repeats (why?)

now, how would you find those that have at least one repeat? then what would the answer be?