There is a rumor that daddy warbucks is starting a new airline. he plans to serve six cities: san francisco, los angeles, dallas, chicago, new york, and miami. there will be direct flights between each pair of cities. how many different routes will this create?

 15

Step-by-step explanation:

The number of combinations of n things where r things taken at a time is given by :-

Given : Total number of places (San Francisco, Los Angeles, Dallas, Chicago, New York, and Miami.)= 6

Then , the number of possible pairs of any two city will be :-

Hence, the number of different routes will this create = 15

So the rate given is

In this problem, you are trying to find the unit rate. The unit rate is, how many feet does the dolphin swim in 1 hour? This is a unit rate because the amount of hours is 1 hour, and unit rates always have a denominator of 1.

So, to find the unit rate, we must simplify

How do we simplify it? The denominator of this problem is already 3. How do we get from 3 to 1? We divide 3 by itself (3 ÷ 3). That equals 1.

 [we divided both by 3]

Rule: Whatever you do to the numerator, you must do to the denominator.

I hope this helps!