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First of all, identify how many digits are recurring in the decimal, in this case it's two: 0.13636...Let x = 0.1363636...Since there are two digits recurring we use 100x = 13.6363...

Assuming that every teacher at the school is either male or female, we can work out that the probability that the teacher chosen at random is male is 2/5, because 1 - 3/5 = 2/5, and therefore we know that...

Begin by rearranging equation 2 so that it is in the form y = ...
Substitute this into equation 1
Expand the brackets and simplify the equation so that it is in the form Ax^2 + Bx + C = 0
F...

Using the quadratic formula with a calculator a=1 b=1 c=-90 answers are n=-10 and n=9Factorising (n-9)(n+10)=0 answers are n=-10 and n=9

3a+2b = 178a-2b = 60We are going to solve this using the elimination method. This means that we are going to eliminate the variable (or letter) that has the same value in each equation. In this case it is...