Answer:
x=133 y=-25
Step-by-step explanation:
I'll do both ways for you. So let's start with Substitution:
With the sub method, you have to set both equations equal to each other by setting them equal to the same variable. Since there is no coefficient in front of both x's in both equations, that variable will be easiest to solve for.
x + 2y = 83 & x + 5y = 8
Solve for x.
x = 83 - 2y & x = 8 - 5y
Once you have solved for x, set each equation equal to one another and solve for y now.
83 - 2y = 8 - 5y
Isolate all variables to one side:
83 = 8 - 3y
Now subtract the 8 to fully isolate the y variable:
75 = -3y
Divide by -3:
-25 = y Now that you have your first variable, plug it into one of the original equations and solve for x.
x + 2(-25) = 83
x - 50 = 83
x = 133
Now for the Elimination method. For this method you need to get rid of a variable by either subtracting/adding each equation together. Again, since you can subtract and x from both equations, you will be left with only the y variable to solve:
Put each equation on top of one another and subtract:
x + 2y = 83
- (x + 5y = 8)
The x's will cancel out:
(x - x) + (2y - 5y) = (83 - 8)
Simplify:
-3y = 75
Solve for y
y = -25
Then, plug y = -25 into one of the original equations:
x + 5(-25) = 8
Solve for x:
x - 125 = 8
x = 133
Hope this helps!
A statement which does not describe a characteristic of the line of best fit for a scatter plot is that: A. the line of best fit should be the average of all the data points.
<h3>What is a scatter plot?</h3>
A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.
<h3>What is a line of best fit?</h3>
A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.
<h3>The characteristics of a
line of
best fit.</h3>
The statements which describe a characteristic of the line of best fit for a scatter plot include the following:
- The line should be as close to the points as possible.
- The number of points above the line should be equal to the number of points below the line.
- The distance between the points above the line and the line should be relatively equal to the distance between the points below the line and the line.
Read more on scatterplot here: brainly.com/question/6592115
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Answer:
y=3x
Step-by-step explanation:
In every collum, the x side increases by one but the y side increases by 3. which means it is multiplying.
0 x 3 = 0
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
Answer:
Yes, he made a reasonable inference by saying about 25 percent of students choose the science.
Step-by-step explanation:
Given that
Number of students for survey = 50
Number of students who choose science = 12
Now
Percentage of student who choose science = 
Percentage of student who choose science = 
Percentage of student who choose science = 24 %
Now as Mr. Yule said "about 25" percent of students choose the science it can be treated as reasonable approximation.
Now if the number of students in survey become 200, then we can expect 12 out of every 50 students would choose the science. So, in total 48 students would choose the science.
Now lets calculate the percentage of students who choose science.
Percentage of student who choose science = 
Percentage of student who choose science = 
Percentage of student who choose science = 24 %
