Answer:
90 games
Step-by-step explanation:
Given: Total number of team (n) = 10
Each team will play twice with each other.
We know that every team will play two game with each other except with itself, therefore each team will play ![(n-1)\times 2](https://tex.z-dn.net/?f=%28n-1%29%5Ctimes%202)
⇒ Each team will play = ![(10-1)\times 2 = 18\ games](https://tex.z-dn.net/?f=%2810-1%29%5Ctimes%202%20%3D%2018%5C%20games)
∴ Each team will have 18 games with each other in the league.
Now, as there are total 10 teams and each team have 18 games each, however, we have to make sure that no team have more than two games with other team.
Example: ![team_1 vs\ team_2\\\\team_2\ vs\ team_1\\](https://tex.z-dn.net/?f=team_1%20vs%5C%20team_2%5C%5C%5C%5Cteam_2%5C%20vs%5C%20team_1%5C%5C)
Both the above game are same and it is a mistake to take two different game.
∴ Total number of games played by all team= ![\frac{(n \times number\ of\ games\ played\ by\ each\ team}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%28n%20%5Ctimes%20number%5C%20of%5C%20games%5C%20played%5C%20by%5C%20each%5C%20team%7D%7B2%7D)
⇒ Total games = ![\frac{(10\times 18)}{2} = 90\ games](https://tex.z-dn.net/?f=%5Cfrac%7B%2810%5Ctimes%2018%29%7D%7B2%7D%20%3D%2090%5C%20games)
∴ Rana have to schedule 90 games in the Volleyball league.
Let x be the fifth number
![\frac{4.3 + 5.2 + 7 + 6.8 + x}{5} = 6.8](https://tex.z-dn.net/?f=%20%5Cfrac%7B4.3%20%2B%205.2%20%2B%207%20%2B%206.8%20%2B%20x%7D%7B5%7D%20%3D%206.8)
⇔
![\frac{23.3 + x}{5} = 6.8](https://tex.z-dn.net/?f=%20%5Cfrac%7B23.3%20%2B%20x%7D%7B5%7D%20%3D%206.8)
⇔ 23.3 + x = 34
⇔ x = 10.7
Answer:
c is the answer
Step-by-step explanation:
when you put the negative into the second equation it makes it match up with the algebra tiles answer
GIVE ME BRAINILEST
It's a computation. It would be 8!/3!(8-3)! If my memory serves me correctly.
Answer: The ball hits the ground at 5 s
Step-by-step explanation:
The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:
(1)
Where
models the height of the ball in meters and
the time.
Now, let's find the time
when the ball Sara kicked hits the ground (this is when
):
(2)
Rearranging the equation:
(3)
Dividing both sides of the equation by
:
(4)
This quadratic equation can be written in the form
, and can be solved with the following formula:
(5)
Where:
Substituting the known values:
(6)
Solving we have the following result:
This means the ball hit the ground 5 seconds after it was kicked by Sara.