<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:
2.4 miles
Step-by-step explanation:
This is a simple ratio problem.
Jordyn swims 4/5 mile in 1/3rd hour. So how many miles will they go in 1 hour? Let that be x:
That is 12/5 miles or 2 2/5 miles
In decimal, that's 2.4 miles
Answer: x = 4
Step-by-step explanation:
3x - 11 + 9 = 10
Add 11 to each side
3x + 9 = 21
Subtract 9 from each side
3x = 12
Divide each side by 3
x = 4
12a + 6 + 3a = 15a + 2
15a = 15a - 4
0 = - 4
There an old algorythmic method similar to long division:-
7 . 4 8 3
-----------------
) 56. 00 00 00
7 ) 49
) ---
144 ) 7 00
) 576
----
148 8 ) 12400
) 11904
-------
) 496 00
1496 3 ) 44889
THis gives the square root as 7.48 to the nearest hundredth
