Step-by-step explanation:
pls can you give me the answer I want to be sure
Answer:
![x = 33](https://tex.z-dn.net/?f=x%20%3D%2033)
Step-by-step explanation:
Given
![Students = 28](https://tex.z-dn.net/?f=Students%20%3D%2028)
![Brownies = 23](https://tex.z-dn.net/?f=Brownies%20%3D%2023)
![Brownies = 2\ per\ student](https://tex.z-dn.net/?f=Brownies%20%3D%202%5C%20per%5C%20student)
Required
Determine the number of brownies left
If:
![Brownies = 2\ per\ student](https://tex.z-dn.net/?f=Brownies%20%3D%202%5C%20per%5C%20student)
and there are 28 students
Then:
![Total\ Brownies = 2 * 28](https://tex.z-dn.net/?f=Total%5C%20Brownies%20%3D%202%20%2A%2028)
![Total\ Brownies = 56](https://tex.z-dn.net/?f=Total%5C%20Brownies%20%3D%2056)
To determine the number of brownies left, we have:
![Total\ Brownies = Brownies\ Made + Brownies\ Left](https://tex.z-dn.net/?f=Total%5C%20Brownies%20%3D%20Brownies%5C%20Made%20%2B%20Brownies%5C%20Left)
![56 = 23 + x](https://tex.z-dn.net/?f=56%20%3D%2023%20%2B%20x)
Reorder
![x + 23 = 56](https://tex.z-dn.net/?f=x%20%2B%2023%20%3D%2056)
Collect Like Terms
![x = 56 - 23](https://tex.z-dn.net/?f=x%20%3D%2056%20-%2023)
![x = 33](https://tex.z-dn.net/?f=x%20%3D%2033)
<em>Hence, there are 33 brownies left</em>
Answer:
35. ![f(2)=16](https://tex.z-dn.net/?f=f%282%29%3D16)
36. ![f(2)=77](https://tex.z-dn.net/?f=f%282%29%3D77)
Step-by-step explanation:
Question 35:
Given:
![f(1)=32](https://tex.z-dn.net/?f=f%281%29%3D32)
![f(n)=f(n-1)\times \frac{1}{2}](https://tex.z-dn.net/?f=f%28n%29%3Df%28n-1%29%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D)
Plug in 2 for
and simplify. This gives,
![f(2)=f(2-1)\times \frac{1}{2}\\f(2)=f(1)\times \frac{1}{2}\\f(2)=32\times \frac{1}{2}\\f(2)=16](https://tex.z-dn.net/?f=f%282%29%3Df%282-1%29%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%5C%5Cf%282%29%3Df%281%29%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%5C%5Cf%282%29%3D32%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%5C%5Cf%282%29%3D16)
Therefore, term 2 is 16.
Question 36:
Given:
![f(1)=11](https://tex.z-dn.net/?f=f%281%29%3D11)
![f(n)=f(n-1)\times 7](https://tex.z-dn.net/?f=f%28n%29%3Df%28n-1%29%5Ctimes%207)
Plug in 2 for
and simplify. This gives,
![f(2)=f(2-1)\times 7\\f(2)=f(1)\times 7\\f(2)=11\times 7\\f(2)=77](https://tex.z-dn.net/?f=f%282%29%3Df%282-1%29%5Ctimes%207%5C%5Cf%282%29%3Df%281%29%5Ctimes%207%5C%5Cf%282%29%3D11%5Ctimes%207%5C%5Cf%282%29%3D77)
Therefore, term 2 is 77.
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