Answer:
The price of 1 adult ticket is 12 dollars, and the price of a ticket for one student is 7 dollars
Step-by-step explanation:
Make a system of equations for the two days that the play was shown.
Let x = the price of an adult ticket
Let y = the price of a student ticket
For the first day:
<h3>9x+8y=164</h3>
For the second day:
<h3>2x+7y=73</h3>
Now, we can solve using the elimination method. Multiply the first equation by 2 and the second equation by 9. Then swap the order of the equations.
<h3>18x+63y= 657</h3><h3>-</h3><h3>18x+16y= 328</h3><h3>0x+ 47y= 329</h3><h3>divide both sides by 47</h3><h3>y = 7</h3><h3>Plug in 7 for y for the 2nd equation</h3><h3>2x+7(7)=73</h3><h3>2x+49=73</h3><h3>subtract 49 from both sides</h3><h3>2x= 24</h3><h3>divide both sides by 2</h3><h3>x = 12 </h3><h3>Check:</h3><h3>2(12)+7(7)=73</h3><h3>24+49= 73!</h3>
The answer is 49 because since she multiplied 5 by 7 you have to do the same to yellow marbles so 7×7 = 49
Week 1: $100
Week 2: $102
Week 3: $104.04
Week 4: $106.1208
Week 5: $108.243216
Week 6: $110.40808032
Week 7: $112.6162419264
Week 8: $114.868566764928
Total: $858.296905011328
(A=100[((1+0.02)^(8)-1)(/0.2)=858.29
Hope that helped!
Answer:
$720
Step-by-step explanation:
Given :
Mean, m = 600
Standard deviation, s = 120
Z = (x - m) / s
P(Z > x) = 84%
P(Z > x) = 0.84
Zscore corresponding to P(Z > x) = 0.84 will be -0.994
Hence,
-0.994 = (x - 600) / 120
120 * -0.994 = x - 600
119.28 = x - 600
119.28 + 600 = x
719.28 = x
Hence,
X = $720
Answer:The set fee would be $15
Explanation:The set fee is the starting value. This means that it is the value of the y at x = 0 (y-intercept).
To get the set fee, we would first need to get the equation of the line.
Equation of the linear line has the following general formula:
y = mx + c
where m is the slope and c is the y-intercept
1- getting the slope:we are given two points which are:
(20,25) and (50,40)
the slope =

The equation now is:
y = 0.5x + c
2- getting the value of the y-intercept:To get the value of the c, we will use any of the given points, substitute in the equation and solve for c.
I will choose the point (20,25)
y = 0.5x + c
25 = 0.5(20) + c
25 = 10 + c
c = 15
The equation of the line representing the scenario is:y = 0.5x + 15
Now, we know that the value of the c is the y-intercept which is the initial value of the function at x=0.
In our situation, this represents the set fee.
Hope this helps :)