Martin and William have invited friends, who do not all know each other, for dinner. All eight people will be seated at a round table, and the host wants to seat them so that each guest will know the people sitting on each side of him or her. In the graph below, two people who know each other are connected by an edge. What is the seating arrangement?

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?

Aline passes through the point (–7, 5) and has a slope of 1/2 which is another point that the line passes through?

On the day a coffee shop first opened, it had 140 customers. 65% of the customers ordered a large coffee. how many customers ordered a large coffee? enter your answer in the box.