The table shows the prices for fruit items at a local farmer’s market. Katelyn purchased four pounds of apples, six navel oranges, two mangoes, and three watermelons. The farmer’s market charged a convenience fee of $3 per order. Katelyn paid with a $50 bill.

In a school 2/3 of the students study a language of those who study a language 2/5 study french

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?

Aroulette wheel has 38 slots in which the ball can land. two of the slots are green, 18 are red, and 18 are black. the ball is equally likely to land in any slot. the roulette wheel is going to be spun twice, and the outcomes of the two spins are independent. the probability that it lands one time on red and another time on black in any order is(a) 0.5 (b) 0.25 (c) 0.4488 (d) 0.2244