let
x--------> the monthly fee
y--------> the administration fee
we know that
--------> equation ![1](https://tex.z-dn.net/?f=%201%20)
--------> equation ![2](https://tex.z-dn.net/?f=%202%20)
Multiply by
equation ![1](https://tex.z-dn.net/?f=%201%20)
------> equation ![3](https://tex.z-dn.net/?f=%203%20)
Adds equation
and equation ![3](https://tex.z-dn.net/?f=%203%20)
![810=y+15x\\-660=-y-12x\\---------\\ 810-660=15x-12x\\ 3x=150\\ x=50\ dollars](https://tex.z-dn.net/?f=%20810%3Dy%2B15x%5C%5C-660%3D-y-12x%5C%5C---------%5C%5C%20%20%20810-660%3D15x-12x%5C%5C%203x%3D150%5C%5C%20x%3D50%5C%20dollars%20)
Find the value of y
![660=y+12x\\ 660=y+12*50\\ y=660-600\\ y=60\ dollars](https://tex.z-dn.net/?f=%20%20660%3Dy%2B12x%5C%5C%20660%3Dy%2B12%2A50%5C%5C%20y%3D660-600%5C%5C%20y%3D60%5C%20dollars%20)
therefore
the answer is
the administration fee is equal to ![60\ dollars](https://tex.z-dn.net/?f=%2060%5C%20dollars%20)
Answer:
39 tickets were given to the employees
Step-by-step explanation:
1. Approach
First, list the given information, then form an equation based on the given information. Finally, solve the equation with simplification and inverse operations.
2.Given
A total of 234 tickets were given away
5 times as many tickets were given away to listeners compared to employees
-Call the number of tickets given away to employees (x)
3. Form an equation
(Tickets_given_to_employees) + (Tickets_given_to_listeners) = (Total_tickets)
Substitute,
x + 5x = 234
Simplify,
6x + 234
Inverse operations,
6x = 234
/6 /6
x = 39
Answer: x=-50
Step-by-step explanation:
I big brain pls mark brainliest
Answer: <em>The answer is 44.</em>
Step-by-step explanation:<em> </em><em>The answer is 44 because if half the area of the circle is 22 all you have to do is 22+22 or 22*2.</em>
<em />
<em>22+22=44 22*2=44</em>
Answer:
125 mph
Step-by-step explanation:
This can be calculated as a simple rule of 3.
In rule of 3 problems, you need to first identify the measures and whether they are direct or inverse to each other.
If they are direct to each other, if one value increases the other will increase too. For example, lets suppose that the Buffalo Bills have won 3 of 4 games. When there are 8 games, then will have won 6, keeping this proportion. Here, the measures are the number of games and the number of Buffalo Bills wins.
Now if they are inverse to each other, if one value increases the other will decrease. For example, if you travel at 60 mph, you will need 6 hours to arrive at your destination. At 80 mph, you will need less time. So, a the average speed increases, the time you need will decrease.
In this case the speeds is proportional to the time. So, if the time increases, the speed will increase too. It can be calculated by the following rule of 3.
Speed Time
100 mph - 0.8 seconds
x mph - 1 second
x = 100/0.8 = 125 mph.