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ValentinkaMS [17]
3 years ago
11

The baseball team has won 50 games of 75 players. The team has 45 remaining games to play.How many of remaining games must a tea

m win in order to win 60% of total games played during the season?
Mathematics
1 answer:
Paul [167]3 years ago
5 0

the baseball team must win 22 more games to win 60% of total games played in the season.

/////////////////////////////////////////////////////////////////////////////////////

we know that the team played 75 games and will play 45 more games.

1st step: 75 + 45 = 120

2nd step: find 60% of 120 which is 72

3rd step: 72 - 50 = 22

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Rasek [7]

Answers:

  • Person A receives at least 800 dollars, but no more than 1600 dollars
  • Person B receives at least 1000 dollars, but no more than 2000 dollars

=============================================================

Explanation:

We don't have enough information to nail down exact figures, but we can make a range estimate.

The two people (call them A and B) share the profits in the ratio of 4 to 5

In shorthand notation, we can say the ratio is 4:5

This means person A gets 4x dollars while person B gets 5x dollars

The ratio 4x : 5x reduces to 4:5 after dividing both parts by x. The variable x is some positive real number.

The total profit is therefore 4x+5x = 9x dollars

This expression 9x is between 1800 and 3600 dollars, including both endpoints

We then can say...

1800 \le 9x \le 3600\\\\\frac{1800}{9} \le \frac{9x}{9} \le \frac{3600}{9}\\\\200 \le x \le 400

We see that x = 200 is the smallest possible x value. This leads to person A and B receiving 4x = 4*200 = 800 dollars and 5x = 5*200 = 1000 dollars respectively. Note how the ratio 800:1000 reduces to 4:5 after we divide both parts by 200. We can see that 800+1000 = 1800 which is the lowest profit possible.

The inequality above shows that x = 400 is the largest x value possible. If this is the case, then person A receives 4x = 4*400 = 1600 dollars while person B receives 5x = 5*400 = 2000 dollars. The ratio 1600:2000 reduces to 4:5 after we divide both parts by 400. We can see that 1600+2000 = 3600 is the largest profit possible.

-------------------------

To summarize:

  • Person A can receive anywhere between 800 dollars and 1600 dollars (inclusive of both endpoints).
  • Person B can receive anywhere between 1000 dollars and 2000 dollars (inclusive of both endpoints).

The actual amount they receive will depend on what the actual profit is. Since we're only given the range of the profit, we can only make an estimated guess of the range for each partner.

-------------------------

Side note: For either person, the ratio of the max to min is 2:1. This tells us that the max amount they receive is double compared to the min amount they receive. It's no coincidence that 3600 is double that of 1800.

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Step-by-step explanation:

x=1.25y

perimeter= 2width+2length

olivias p=ryan's p so:

Ryan's p= 2*1.25 Ryan's width+ 2Olivias length

Olivias length= (2,5Ryan's width- Ryan's p)/2

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What is the image of -1 - 5 after a dilation by a scale factor of 5 centered at the origin
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the Given data

*The given point is (-1, -5)

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The image of -1 - 5 after dilation by a scale factor of 5 centered at the origin ​is given as

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Thus, the image after dilation by a scale factor of 5 centered at origin is (-5, -25)

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Answer:

Step-by-step explanation:

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There you go!!! Hope I helped :)

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