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Nadya [2.5K]
3 years ago
6

A minor league baseball team plays 122 games in a season. If the team won 14 more than three times as many games as they​ lost,

how many wins and losses did the team​ have?
Mathematics
1 answer:
Leviafan [203]3 years ago
8 0
W + L = 122
W = 3L + 14

3L + 14 + L = 122
4L + 14 = 122
4L = 122 - 14
4L = 108
L = 108/4
L = 27 <=== they lost 27 games

W = 3L + 14
W = 3(27) + 14
W = 81 + 14
W = 95 <=== they won 95 games
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Answer:

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Step-by-step explanation:

Here, the given points are: A (-7,4) and B (3,10)

Let us assume  the point M(x,y) on AB is such that

AM : AB = 1 : 5

⇒ AM  : (AB - AM) = 1 : (5-1)  = 1: 4

⇒ AM  : MB  = 1 : 4

Now, The Section Formula states the coordinates of point (x,y) on any line dividing the line in the ratio m1 : m2

(x,y) = (\frac{m_2x_1+m_1x_2}{m_1+m_2} ,\frac{m_2y_1+m_1y_2}{m_1+m_2}  )

Here, in the given equation, m1: m2 = 1:4

So, the coordinates M(x,y) is given as:

(x,y) = (\frac{(-7)(4) + 1 (3)}{1+ 4} ,\frac{4(4) + 1(10)}{1+4}  )\\\implies (x,y) = (\frac{-28+3}{5} ,\frac{16+10}{5} )  = (\frac{-25}{5} ,\frac{26}{5} )\\\implies (x,y) = (-5,\frac{26}{5} )

Hence, the coordinates of the point that is 1/5 the way

from A to B  is (x,y) = (-5,\frac{26}{5})

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zhenek [66]
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Step-by-step explanation:

We can solve this problem as a system of equations. X is the first number and Y is the second number.

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Now we solve the system, using elimination method:

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