Alice has a total of 12 dimes and nickels. she has 2 more nickels than dimes. which equation represents the given problem situation? A. c+2c=12,where c is the number of nickels

B. c+(c+2)=12,where c is the numbers of nickels

C. c+(c+2)=12,where c is the number of dimes

D. c+2c=12,where c is the number of dimes

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?