Choose the student who correctly wrote the algebraic expression for the following statement. Martha made six times as many goals.
Aida’s work
times represents addition
6 + x
Hector’s work
times represents multiplication
6x
Camila’s work
times represents division
StartFraction 6 Over x EndFraction
Juan’s work
times represents subtraction
6 minus x

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?

Nikolas calculated the volume of the prism. his work is shown below.

Deepak plotted these points on the number line. point a: –0.3 point b: – 3 4 point c: – 11 4 point d: –0.7 which point did he plot incorrectly?