At a party a 120 handshakes took place, Each person shook hands exactly once with each of the others present. How many people were at the party?

Your answer must be 60

Step-by-step explanation:

The reason it must be 60 is because a handshake requires 2 people and 120 divided by 2 equals 60 :)

Hope it helps!

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step-by-step explanation:

i hope this : )

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions