Lola is placing appetizers on plates. She has 63 spring rolls and 84 cheese cubes. She wants to include both appetizers on each plate. Each plate must have the same numbers of spring rolls and cheese cubes. What is the greatest number of plates she can make using all of the appetizers? How many of each type of appetizer will be on each of these plates?

Evaluate the expression for the given value of the variable. 5×(h+3) for h=7

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?

Campus rentals rents 2 and 3 bedrooms apartments for $700 ans $900 a month respectively. last month they had six vacant apartments and reported $4600 in lost rent. how many of each type of apartment were vacant?