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kow [346]
3 years ago
14

The Bobcats had a win-loss record of 41-23 before their star player, Melissa, got injured. Melissa didn’t play in any more games

, and the Bobcats finished the season with an overall win-loss record of 54-34. What is the absolute difference in the Bobcats’ win percentages with and without Melissa? Express your answer to the nearest whole number.
Mathematics
1 answer:
MrRissso [65]3 years ago
3 0

Answer:

The win percentage decreased by 10%

Step-by-step explanation:

First you need to fin the total games played right before Melissa got Injured

41+23=64

Then you need to find the win percentage by making a fraction of wins over total games

wins/total games = 41/64 = 64%

Then you need to find the number of games played after Melissa got injured

54-41 = 13 wins

34-23 = 11 losses

13+11 = 24 total games played without Melissa

You find that win percentage similarly to the first time

wins/total games = 13/24 = 54%

Then you find the difference in the percentages and there you have it!!

64% - 54% = 10%

It decreased as well therefore the answer is...

It decreased by 10%

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EXPLANATION

One way to solve this is to find the area of the blue square and the subtract the areas of the red triangles:

The blue square is 12 units long by 12 units wide. Its area is:

A_{\text{square}}=12\times12=144

Then, the area of the big triangle, which has a base 12 units long and a height of 10 units, is:

A_{\text{traingle}1}=\frac{12\times10}{2}=\frac{120}{2}=60

The smaller triangle has a base of 4 units and a heigth of 2 units. Its area is:

A_{\text{triangle}2}=\frac{4\times2}{2}=\frac{8}{2}=4

So the total area of the figure is:

\begin{gathered} A=A_{\text{square}}-A_{triangle1}-A_{triangle2} \\ A=144-60-4 \\ A=80 \end{gathered}

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