Daniel took 12 index cards and wrote the numbers 1-12 on them, one number on each card. He then collected the cards, shuffled them, and drew one card from the stack. What is the probability that the number on the card is a multiple of 5?

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?

What is the solution to the equation below? 3/x-2+6=square root x-2 +8

How can you construct perpendicular lines and prove theorems about perpendicular lines