A juice company decides to test six different brands of juice by comparing each brand with each of the other brands. How many different pairs of the six juices will be tested?

1. what are the missing reasons in the proof 2. it's in the second picture and 3

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.

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of emdangl be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.