Answer:
They won 17 games and drew 4 games
Step-by-step explanation:
The given parameters are;
The number of points the major league soccer team finished with = 55 points
The number of games the soccer team played = 28 games
The number of losses the soccer team had = 7 losses
The number of points awarded for each win = 3 points
The number of points awarded for each tie = 1 points
The number of points awarded for each loss = 0 points
Let x represent the number of wins, y represent the number of draws, and let z represent the number losses
Therefore;
z = 7
x + y + z = 28
3·x + y + 7×0 = 55
Therefore, we have the following system of equations;
x + y = 21...(1)
3·x + y = 55...(2)
Which gives;
The inverse of the matrix is given as follows;
Therefore;
x = 17, y = 4
Answer:
<u><em>D. 95</em></u>
Step-by-step explanation:
The average is also known as the mean. To find the mean, you need to add all the values, then divide them by the number of terms:
1 2 3
1+2+3
6/3=2
The mean for the example would be 2. Now, using your values, you can use the options to see which one gives you an average of 90:
A.) 85
B.) 90
C.) 92
D.) 95
The next score on the quiz needs to be 90 for the mean to be 90.
Answer:
B) false D) true E) true
Step-by-step explanation:
Plug in numbers to disprove the first one.
Area formula for triangles says D is true
It's the Pythagorean's Theorem for Heaven's sakes.
Answer:
m<2 = 57
Step-by-step explanation:
Since they are all in a straight line, the sum of the three angles = 180
Let m ∠3 = x
Thus;
2m<1 = x - 6
m<1 = (x-6)/2
m<2 = x-27
Adding all
x + x-27 + (x-6)/2 = 180
Multiply through by 2
2x + 2x -54 + x -6 = 360
5x -60 = 360
5x = 360 + 60
5x = 420
x = 420/5
x = 84
But m<2 = x -27
m<2 = 84 -27 = 57
