# mathematics

There were 16 teams in a volleyball league. Each team played exactly one game against each other team. For each game, the winning team got 1 point and the losing team got 0 points. There were no draws. After all games, the team scores form a sequence in which any consecutive terms have the same difference. How many points did the team in the second last place receive?

1. 👍
2. 👎
3. 👁
1. Each team played 15 games.
If no two teams have the same score, their scores must have ranged from
0-14 or 1-15
So the 2nd-last place got either 1 or 2 points.

So, now you just have to decide: which is it? How many total games were played? There were that many total points scored. Which set of scores is the one you want?

1. 👍
2. 👎
👤
oobleck

## Similar Questions

1. ### algebra 1

Consider the equation StartFraction x over 5 EndFraction minus 2 = 11, where x represents the number of basketball players that have signed up for a new league. What is a possible scenario that would be modeled by this equation?

2. ### English

Which sentence contains a gerund? 1.Some baseball teams are successful because they acquire players reaching for their highest potential. 2.The number one leader in runs scored for his team is batting first in today's game. 3.A

3. ### Math

How many volleyball games would Rana have to schedule if there were 10 teams in the league and each team played each other twice?

4. ### Math

Hillside has 12 teams. Each team plays each other teams twice. How many games are played?

1. ### math

In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played is given by N = n2 - n. What is the total number of games to be played in a football league having 17 teams?

2. ### math

Ms. Olivieri’s class plays a game in teams. Each team has the same number of students. The ratio of teams to players is 8:32. How many students are in Ms. Olivieri’s class? How many students are on each team?

3. ### math

two teams meet in playoff series at the end of the regular season. Team A won 55 of 81 games played in its home stadium during the regular season, while Team B won 48 of 81 games played in its home staduim. The first two games of

4. ### math

In a baseball league consisting of 15 ​teams, each team plays each of the other teams twice. How many games will be​ played?

1. ### math

the senior girls volleyball team has won 70% of the 30 games it has played. the number of the remaining 14 games that the team must win in order to have a 75% for the season is... a) 2 b) 5 c) 10 d) 11 e) 12

2. ### algebra

a volleyball team scored 17 points in its first game than in its third game . in the second game, the team scored 23 points. The total numbers of points scored was less than 60. What is the greatest number of points the team could

3. ### SAT Math

At a basketball tournament involving 8 team played 4 games with each of the other teams. How many games were played at the tournament? a. 64 b. 98 c. 112 d. 128 e. 224 I worked out the problem (8 cpr 4), and I got 70. As you can

4. ### maths

A baseball team won 50 of the first 92 games played in a season. If the season consists of 152 games, how many more game must the team win to finish the season winning 62 1/2% of games played?