Petra runs 2 miles in 22 minutes. How long would it take her to run 12 miles?

Asoccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.1 in

The triangles are similar. what is the value of x? show your work.

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?