Mara ran 3 km north and then 4 km east. she will finish her run by running directly home. what was the total distance of her run?

To solve this, you must know what the Pythagorean Theorem is. 
Here's a crash course: any length of a side (a) squared plus the other side of a triangle (b) squared is equal to the long side (c) squared. This also works if you're trying to find the length of the diagonal of a square. 

So, if Mara ran 3 km north then 4 km east, you would come out with the equation:

3^2+4^2=c^2

Solve using order of operations. 

3^2+4^2=c^2
9+16=c^2
25=c^2
5=c

This is the length of the run directly home. To get the total distance run, just add up all the sides of her triangle-shaped run. 

3+4+5=12

She ran 12 km. 

Hope this helps!

The question is completed as thus:

p=5300 - 60q, respectively.

What price gives market​ equilibrium, and how many units are demanded and supplied at this​ price?

The equilibrium price is $2750 and the equilibrium quantity is 42.5

Step-by-step explanation:

Give

Supply Function

Demand Function

Required: Determine the equilibrium price and quantity

To do this, we equate both functions

Collect Like Terms

Make q the subject

Substitute 42.5 for q in

Hence, the equilibrium price is $2750 and the equilibrium quantity is 42.5