Izzie recently took a math test where each correct answer (a) was worth 7.8 points. she also correctly answered a bonus question worth 15 points. using the equation 7.8a + 15 = 77.4, how many questions on the test did izzie answer correctly? a) 5 b) 8 c) 12 d) 9!

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?