We must find UNIQUE combinations because choosing a,b,c,d... is the same as d,c,b,a...etc. For this type of problem you use the "n choose k" formula...
n!/(k!(n-k)!), n=total number of choices available, k=number of choices made..
In this case:
20!/(10!(20-10)!)
20!/(10!*10!)
184756
500 = 200 + 20h is our equation.
Subtract 200 from both sides
300 = 20h
Divide by 20
300/20 = 15.
It will take 15 hours to get 500 points.
Hope this helps!
Answer:
2.5
Step-by-step explanation:
The one thing that changes in the problem is the milk. It goes from 8 oz. to 12 oz., so we are going to use the oz count to determine the amount of espresso. Since the amount of milk rose, so is the amount of espresso. Now, you take the larger number and divide it by the smaller number (12 / 8 = 1.5). This answer will tell you by what multiple it increased by. Once you have the multiple it increased by, you multiply that answer (1.5) by the other unknown changing number, so 1.5 x 1.5. Do this and you get 2.5.
Answer:
There could be any number of dimensions as long as the two dimensions multiply to 8/9
Step-by-step explanation:
One example of this would be 2 by 4/9
2 * 4/9 = 8/9
