A baseball team has won 8 out of the first 20 games and has 40 games remaining. The team needs a winning percentage of 62.5% make the playoffs. How many more wins does the team need in order to get into the playoffs? If the team wins the number of games to get into the playoffs, what is the final win percentage if the team wins 2 and loses 3 games in the playoff?

30 More Games for Playoffs | Win Percentage of 40% in Playoffs

Step-by-step explanation:

We find the total amount of games by adding first 20 and 40 remaining

This will leave us with 60 games

In order to calculate the playoff, we would have to calculate 62.50% in those 60 games.

62.50% is 5/8, we divide 60 by 8 and get 7.50

We multiply both sides by 7.50 and get 37.50/60

We subtract 8 from 37.50 and get 29.50

We round it to the nearest ones and get 30

In order to win the game they would need to win 30 more games

To calculate the final win percentage, we would add 2 and 3, which would give us 5.

After winning 2 and losing 3,

it would give us 2/5,

which in percentage is 40%

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!