Miguel and Javier went to an arcade where the machines took tokens. Miguel played 9 games of ping pong and 5 games of pinball, using a total of 29 tokens. At the same time, Javier played 3 games of ping pong and 1 game of pinball using up 7 tokens. Write a system of equation to model this situation? How many tokens does each game require?

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?

Donald has x twenty-dollar bills and 11 ten-dollar bill. how much money does donald have? write your answer as an expression.