Mykel is planning a banquet for 125 guests. He needs to select 4 appetizers, 2 entrees, and 4 side dishes. Carson's Catering has 15 appetizers, 10 entrees, and 11 side dishes to choose from. How many different ways are there for Mykel to plan the menu?

What is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex q is on ordered pair 1 and 6, and the vertex r is on ordered pair 4 and 2. 5 square units 6 square units 10 square units 12 square units

What are the measures of ∠a, ∠b, ∠c and ∠d? explain how to find each of the angle measure.

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?