5. a) A card is drawn from a packet of numbered cards numbered from 1 to 20. If the
second card is also drawn without replacing the first one, find the probability of
each of the following events,
(i) Both of them are of the multiples of 5.
(ii) The first is of even number and the second prime number,
(iii) None of them are of multiples of 3.
(iv) Show these probabilities in a tree diagram.

Given abcd ac=38 and ae=3x+4 find the value of x

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?

What are the solutions to the following equation? |m| = 8.5 the value of m is equal to 8.5 and because each distance from zero is 8.5.