In a statewide soccer competition, 36 games were played. each team participating in the competition played once with every other team. how many teams participated in the statewide competition?

9 teams

Step-by-step explanation:

If the total games played was 36 and no team played each other twice, we need to ensure there isn't any double counting.

36 = (n-1) + (n-2) + (n-3) ... + (n-(n-1))

using this knowledge, we can then count up:

1+2+3+4+5+6+7+8 = 36

If our highest number is 8, then we know there must be 9 teams, because no team can play themselves.

The number of teams participated in the statewide competition is

Further explanation:

Given:

In a statewide soccer competition, 36 games were played.

Each team participating in the competition played once with every other team.

Explanation:

No team will play 2 matches with the second team.

There are 36 games played in the statewide competition.

The number of teams participated in the statewide competition can be obtained as follows,

The number of teams participated in the statewide competition is

Learn more:

1. Learn more about inverse of the functionhttps://link.

2. Learn more about equation of circle link.

3. Learn more about range and domain of the function link

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter:Number System

Keywords: statewide, soccer, competition, 36 games, played, teams participating, statewide competition.

step-by-step explanation:

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a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24