<span>Each team in the softball league plays each of the other teams exactly once. For every game, there is 2 team playing. The order is not important because A vs B is same as B vs A
So you just need to makes a combination of 2 that have a result of 21. If there is t number of teams, the number of matches would be:
tC2 = t!/2!(t-2)! = 21
</span>t! / (t-2)! = 21 *2
(t)(t-1)= 42
t^2 -t -42=0
(t-7)(t+6)
t=7 ; t=-6
Excluding the minus result, you got 7 teams.
Answer:3 cups of seeds and 2 tablespoons of maple syrup
-OR-
6 cups of seeds and 4 tablespoons of maple syrup
Step-by-step explanation:
As this is a ratio of 9:6: "for every 9 cups of seeds, there is 6 tablespoons of maple syrup"
The original ratio is 3:2 "for every 3 cups of seeds, there is 2 tablespoons of maple syrup"
Using this ratio, we can infer that 3:2 or 6:4 would be a simpler answer for this problem. If there is doubt, it would be better to use 3:2 as it is the smallest ratio.
Answer:
(1;3)
Step-by-step explanation:
midpoint=(x1+x2;y1+y2)÷2
=(-2+4;-3+9)÷2
=(2;6)÷2
=(1;3)
Answer:
I think it would be the addition property of equality
Step-by-step explanation: