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How many bananas are in a fruit bowl that has 200 total apples and bananas if there are 31 bananas for every 93 apples

What values of x satisfy the inequality x^2-9x< 0? how is your answer shown on the graph?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?