Answer:
The system of equations representing the situation are
with solutions
Step-by-step explanation:
Let us call 
the number of associates and 
the number of partners. If each associate costs $600 and each partner costs $1200, and it cost the law firm a total of $15,000, then we have
.
Since the law firm assigned at total of 16 lawyers, we have
.
Thus, the system of equations representing the situation are
And the solution to this system is found by solving for in the second equation and substituting its value in the first equation:
We put this value into and solve for 
Answer:
y = 7/2 x -2
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (-2 -5)/(0-2)
=-7/-2
= 7/2
We know the y intercept is -2 ( The x coordinate is 0)
Using the slope intercept form of the equation
y = mx+b where m is the slope and b is the y intercept
y = 7/2 x -2
Answer:
v = 25
Step-by-step explanation:
The crucial information you need to know to solve this is to realize that HI and GH are the same length. However, why they are equal is not immediately obvious.
Both sides of the middle line (HF) are symmetrical, since G and I are the same distance away from the line, and they both lie on a line perpendicular to the middle line.
Note: we know they're the same distance away due to the small red marks in the lines, indicating that they're the same length.
The angles at G and I in the triangles are also the same, as the lines from G and I both meet at H. If they were different angles, they would each hit a different point on the middle line.
Thus, we can conclude that GH and HI are the same length.
Since we know the following:
GH = 4v - 75
HI = v
We can set GH and HI equal to each other and solve the equation.
4v - 75 = v
Subtract v from both sides:
3v - 75 = 0
Add 75 to both sides:
3v = 75
Divide both sides by 3:
v = 25
Answer: v = 25
Answer:
Correlation does not mean <em>causation</em> even after having a relatively high correlation coefficient as a result.
Step-by-step explanation:
Correlation and causation are not the same. Correlation does not mean that variations in one variable <em>cause</em> variations in the second variable. Instead, correlation considers that variations in one variable <em>corresponds</em> with variations of the second variable. No more.
Correlation is an important first step to establish that one variable possibly can cause some effect on the other, but it is not a definitive answer to this question. It is crucial to find other possible factors that can explain what causes some effect.
As a conclusion, a positive and relative high correlation coefficient does not necessarily mean causation. It simply tells us that some study found that people that listen to loud music are also people with poor hearing problems, and possibly a cause to the latter variable is to listen loud music repeatedly, but it is a must to find other possible factors before definitely concluding that.
I think when you have a fraction like that, you multiply the denominator on both sides obviously by the first step
1 - 3x/5 = -7
Multiply on both sides
1 - 3x/5 * 5 = -7 * 5
and Solve
1 - 3x = -35
Subtract 1 from both sides of the equation
-3x = -36
Divide both sides by -3
-3x / -3 = -36 / -3 (← answer)
x = 12
Hope it helps
