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Show that the recurring decimal 0.13636... can be written as the fraction 3/22

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...

Answered by Vanessa C. • Maths tutor

12737 Views

One of the teachers at a school is chosen at random. The probability that this teacher is female is 3/5. There are 36 male teachers at the school. Work out the total number of teachers at the school.

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...

Answered by Rajan M. • Maths tutor

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Solve the following simultaneous equations: x^2 + y^2 = 5, y - 3x = 1.

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...

Answered by Daniel O. • Maths tutor

2952 Views

Solve n^2+n-90=0 to find the value of n?

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

Answered by Asher L. • Maths tutor

7237 Views

Solve these simultaneous equations.....3a+2b = 17 and 8a-2b= 60

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...

Answered by Joel O. • Maths tutor

5124 Views