A restaurant has a four course dinner meal and for each course customers have a choice of three dishes per course and must choose exactly one dish per course. What is the fewest number of customers that the restaurant must have during a single evening dinner service to ensure that 4 customers order the exact same meal, i. e. they order the same dish for each course for all four courses

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?

An 18% discount on a watch saved a shopper $72. find the price of the watch before the discount

Find the cocordinatse of the point on y axis which is nearest to the point (-2,5)