Jill is ordering a sandwich at a restaurant, and the server tells her that she can have up to five toppings: jalapeños, tomatoes, spinach, mushrooms, and pickles. since she cannot decide how many of the toppings she wants, she tells the server to surprise her. if the server randomly chooses which toppings to add, what is the probability that jill gets just jalapeños and spinach?

Janie has $3. she earns $1.20 for each chore she does and can do fractions of chores. she wants to earn enough money to buy a cd for $13.50. write an inequality to determine the number of chores, c, janie could do to have enough money to buy the cd.

Express the following as a function of a single angle. cos(60) cos(-20) - sin(60) sin(-20)

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?