Answer: 129
Step-by-step explanation:
the mean is the average of the data. including x, there are 6 data points
average = total/6
average = (98 + 123 + 105 +114 +109 + x) / 6
113 = (98 + 123 + 105 +114 +109 + x) / 6
113 = (549+ x) / 6
678 = 549 + x
x = 129
(5b)(-3a)
= (5*(-3))(b*a) (combine like terms)
= -15ab
The final answer is -15ab~
I hope it isn't too late! Here is what I have.
1B
2D
3A
First, we have two points and we need to use these points to find the slope. To do this, let's label one point x1 and y1, the other point x2 and y2 then,
Slope = (y2 - y1) / (x2 - x1)
(2, 3) - 2 is x1 and 3 is y1
(-1, -12) -1 is x2 and -12 is y2
Slope = (-12 - 3) / ( -1 - 2) = -15 / -3 = 5
Now the equation of our line is: y = 5x + b
Let's plug one of our points into this equation to solve for b.
3 = 5(2) + b
3 = 10 + b
Subtract 10 from both sides.
-7 = b
The equation of our line is: y = 5x - 7
Answer: Our variable be z for fair admission and our required linear equation will be

Explanation:
Since we have given that
Cost per ticket for the rides =$1.50
Total amount she spent = $48.75
Let the total cost be y
Let the number of ride tickets be x
<u>a) Define your variable:</u>
Let the amount spent on fair admission be z
<u>b) Write a linear equation that can be used to determine the cost for ride tickets and fair admission:</u>
Our required equation will be

Here, number of ride tickets = 20
So,

So, the cost for fair admission = $18.75