(40 points to best answer) (answer ASAP)
2 answers:
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Firstly, we'll fix the postions where the women will be. We have
forms to do that. So, we'll obtain a row like:
The n+1 spaces represented by the underline positions will receive the men of the row. Then,
Since there is no women sitting together, we must write that . It guarantees that there is at least one man between two consecutive women. We'll do some substitutions:
The equation (i) can be rewritten as:
We obtained a linear problem of non-negative integer solutions in (ii). The number of solutions to this type of problem are known:
[I can write the proof if you want]
Now, we just have to calculate the number of forms to permute the men that are dispposed in the row:
Multiplying all results:
Here is my answer. In this problem, you need to use the similarity of triangles. I hope this is helpful.
Answer:
A. 2(x + 9) = 8
Step-by-step explanation:
To solve this problem, we proceed as follows:
- We call "x" the number picked up by Amy:
- Amy then adds 9 to this number, so we get:
- Then, we multiply this sum by 2, so we get:
- Finally, Amy says that this number is equal to 8:
So the correct equation is
A. 2(x + 9) = 8
We can even solve it to find the number. We get: