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Lilit [14]
3 years ago
5

At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?

Mathematics
2 answers:
fenix001 [56]3 years ago
6 0
Everybody has two hands and u said there are 66 people's so u just have to multiply 66 with two
66
×2
----
132
there were 132 hands
velikii [3]3 years ago
4 0
This is a question that needs a bit of common sense to get to the actual answer that is desired. Firstly there is one information given .The other information has to be found from common sense. ! single handshake requires 2 people. Now we can easily determine the number of people doing 66 handshakes.
Then
The number of people required for 1 hand shake = 2
Then
The number of people required to do 66 handshakes = ( 2 * 66) people
                                                                                     = 132 people
Then it can be said that there were 132 people in the party. I hope the process of doing this problem is clear to you.
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Step-by-step explanation:

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First of all, this is an example of the logistic equation, which has the general form

\frac{dP}{dt} = kP\left(1-\frac{P}{K}\right).

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In order to calculate the integral in the left hand side we make a partial fraction decomposition:

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So,

\int\frac{dP}{P(1-P/K)} = \ln|P| - \ln|K-P| = \ln\left| \frac{P}{K-P} \right| = -\ln\left| \frac{K-P}{P} \right|.

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\frac{500-P(t)}{P(t)} = Ae^{-0.04t}.

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