Jose is blocking off several rooms in a hotel for guests coming to his wedding. The

hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 4

people. Jose reserved twice as many small rooms as large rooms, which altogether

can accommodate 70 guests. Write a system of equations that could be used to

determine the number of small rooms reserved and the number of large rooms

reserved. Define the variables that you use to write the system.

Let

Sheila wants to bake six muffins but the recipe is for 12 muffins . this means you only need half of the ingredients listed how much of the of each ingredient does she need? one cup and banana chips ,7 tablespoons oil , two eggs, 3/4 cups flour 1/4 cup walnuts show all you work and justify your answer using a baby toulmin.

Given: pqrs is a parallelogram prove: pr and qs bisect each other at t

1- 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.2- 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 the first question?