Answer:
15 wins and 6 draws
Step-by-step explanation:
Here I will use indifferently the words tie and draw.
If the team played 30 and lost 9 it must have won or tied 21 games. Lets call w a win and t a tie we have that:
w + t = 21 [equation 1]
The 47 points it gained are due to either victories, that give 3 p, or ties, that give 1 p. So, the total 47 points can be expressed as:
3w + t = 47 [equation 2]
Take now equation 1 and get the value of w in function of t (or t in function of w):
w = 21 - t
Now replace it in equation t:
3(21-t) + t = 47
63 - 3t + t = 47
63 -2t = 47
subtract 63 in both sides:
-2t = -16
t = -16/-2
t = 8
So, the team draws 8 games. Lets replace it in equation 1 to get w:
w + 6 = 21
Subtract 6 in both sides:
w = 15
And the team won 15 games.
Solutions: 15 wins and 6 draws
Answer:
The graph of the line that contains the point
with a slope of 2/3.
Step-by-step explanation:
As the line contains the point (-3, 1) with a slop 2/3
Given the slop-intercept form of the line equation
y = mx+b
Here,
Substituting the values in the slop-intercept form of the line equation
![y = mx+b](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb)
![1 = \frac{2}{3} (-3) + b](https://tex.z-dn.net/?f=1%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%28-3%29%20%2B%20b)
![1 =- 2 + b](https://tex.z-dn.net/?f=1%20%3D-%202%20%2B%20b)
switching sides
![-2+b=1](https://tex.z-dn.net/?f=-2%2Bb%3D1)
![b=3](https://tex.z-dn.net/?f=b%3D3)
Now Substituting the value of
in the slop-intercept form of the line equation
![y = mx+b](https://tex.z-dn.net/?f=y%20%3D%20mx%2Bb)
![y=\frac{2}{3} x+3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7D%20x%2B3)
Hence, the line of the equation will be: ![y=\frac{2}{3} x+3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7D%20x%2B3)
Therefore, the graph of the line that contains the point
with a slope of 2/3.
Answer:
$1,575
Step-by-step explanation:
perimeter of yard: 2(200+150)=700 feet
cost: 700*2.25=$1,575
Answer:
does it give u the total amount of people in the class, or a second number, because u need that to solve the equation
6/7=x/amount of people in the class(second number)
Step-by-step explanation
Answer: 100 + x = $1567
Step-by-step explanation: