Answer:
Avery's mistake was adding the fractions together, she should've multiplied them together to get 3/8 square yards.
The first equation given ![6=1-2n+5](https://tex.z-dn.net/?f=%206%3D1-2n%2B5%20)
We have to add 1 and 5 to the right side first. We will get,
![6= 6 - 2n](https://tex.z-dn.net/?f=%206%3D%206%20-%202n%20)
To get rid of 6 from the right side we have to subtract 6 from both sides.
![6-6 = 6-6-2n](https://tex.z-dn.net/?f=%206-6%20%3D%206-6-2n%20)
![6-6 = -2n](https://tex.z-dn.net/?f=%206-6%20%3D%20-2n%20)
![0=-2n](https://tex.z-dn.net/?f=%200%3D-2n%20)
To find n we have to move -2 to the other side by dividing both side by -2.
![0/-2 = -2n/-2](https://tex.z-dn.net/?f=%200%2F-2%20%3D%20-2n%2F-2%20)
![0= n](https://tex.z-dn.net/?f=%200%3D%20n%20)
![n=0](https://tex.z-dn.net/?f=%20n%3D0%20)
So we have got the required answer for the first question.
The solution is n = 0.
The second equation given,
![8x-2 = -9+7x](https://tex.z-dn.net/?f=%208x-2%20%3D%20-9%2B7x%20)
First we have to move 7x to the left side by subtracting it from both sides.
![8x-7x-2 = -9+7x-7x](https://tex.z-dn.net/?f=%208x-7x-2%20%3D%20-9%2B7x-7x%20)
![8x-7x-2 = -9](https://tex.z-dn.net/?f=%208x-7x-2%20%3D%20-9%20)
![x-2 = -9](https://tex.z-dn.net/?f=%20x-2%20%3D%20-9%20)
Now we have to move -2 to the right side by adding 2 to both sides.
![x-2+2 = -9+2](https://tex.z-dn.net/?f=%20x-2%2B2%20%3D%20-9%2B2%20)
![x = -9+2](https://tex.z-dn.net/?f=%20x%20%3D%20-9%2B2%20)
![x = -7](https://tex.z-dn.net/?f=%20x%20%3D%20-7%20)
We have got the required answer for the second question.
The solution is x = -7.
The third equation given,
![-8 = -(x+4)](https://tex.z-dn.net/?f=%20-8%20%3D%20-%28x%2B4%29%20)
We have to get rid of that negative sign from both sides. As we have negative sign to both sides we can cancel it out. We will get,
![8=x+4](https://tex.z-dn.net/?f=%208%3Dx%2B4%20)
Now we have to move 4 to left side by subtracting it from both sides.
![8-4 = x+4-4](https://tex.z-dn.net/?f=%208-4%20%3D%20x%2B4-4%20)
![8-4 = x](https://tex.z-dn.net/?f=%208-4%20%3D%20x%20)
![4=x](https://tex.z-dn.net/?f=%204%3Dx%20)
![x = 4](https://tex.z-dn.net/?f=%20x%20%3D%204%20)
So we have got the required answer .
The solution is x = 4.
Let's verify by substituting 1 to x.
2 - 8x = -6
2 - 8(1) = -6
2 - 8 = -6
-6 = -6
It is equal, therefore x = 1 is the solution.
Answer:
No
Step-by-step explanation:
Given that:
Amount earned when a student does comminty service = $5
Number of students in club = 12
Amount earned E, is a function of number of members (n) who does community service.
Hence,
E = n * amount earned per member
Is 24 a possible output?
To test, then E = 24
24 = n * 5
24 = 5n
24/5 = 5n/5
4.8 = 5
Hence, 24 is not a possible output, be use number of membwra cannot be a decimal
Answer:
-70
Step-by-step explanation: