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First we must identify the recurring part of the decimal. We see that 72 is repeated, hence it is the recurring part of the decimal. Next, we say x = 0.1727272..., the reason why will become apparent shor...

They are equations with variables that we have to find. They hold in the same time.

x is a positive number - the question for us is what the value of x is. To find this, we will have to rearrange the equation given. There are multiple ways of doing this. Firstly, we can make the equation...

A) Since x, 12, y form a geometric sequence, we know that there exists some real number "r" (common ratio) such that 12=xr and y=12r. Hence, r= 12/x =y/12 => xy=144 => k=144 (cros...

Draw a tree diagram. Recognise that the second ball selected from bag A is dependent on the outcome of the first ball. The outcome of the ball selected from B is independent. There are 3 orders that 2 red...