A park is represented on a map with the following vertices coordinates: Vertex 1 is at (−4, −1).

Vertex 2 is at (−4, 5) .

Vertex 3 is at (2, 5).

Vertex 4 is at (2, −1).

Lindsey jogs along the the edge of the park in order from vertex 1 to vertex 2 to vertex 3 to vertex 4 and then back to vertex 1. One unit on the coordinate grid equals 20 yards.

What is the total distance Lindsey jogged?

Enter your answer in the box.

Charles is on a 8 1/2 mile bike ride. he stops for a rest after he’s gone 5 2/5 miles. how much farther does he still have to go?

The administrator of a large assisted living facility wanted to know the average age of the residents living at the facility. he randomly selected 12 residents and determined their age, listed here: 80, 65, 75, 83, 68, 73, 88, 79, 94, 72, 79, 68 what's the average age of the sample of residents? a. 79 years old b. 68 years old c. 75 years old d. 77 years old

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?