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x = 0.045 (45 recurring). Prove algebraically that x can be written as 1/22

x=0.045 (45 recurring)

10x = 0.45 (45 recurring)

100x = 4.54 (54 recurring)

1000x = 45.45 (45 recurring)

To get rid of the decimals:

<...

JT
Answered by John T. Maths tutor
59208 Views

How do I work out the area of a right angled triangle?

If we think about a right angled triangle, it is the same as one half of a square or rectangle. This is because if we join two right angled triangles at their diagonal sides, we make a square or rectan...

CC
Answered by Ciaran C. Maths tutor
19650 Views

In a sports competition with 760 atheletes, the following pieces of information are true: 70% of the atheletes are runners, 40% of the men are not runners and 400 women are runners. How many women were there in total?

Firstly, we must identify the two things that we need to work out our answer. They are: How many male runners there are, and how many male non-runners there are, as once we have these, the remaining va...

CC
Answered by Ciaran C. Maths tutor
3615 Views

Solve algebraically: 6a + b = 16 5a - 2b = 19

We have two algebraic equations and we are trying to find what a and b can equal to fit for both situations. 

1. 6a + b = 16

2. 5a - 2b = 19

The easiest method...

SW
Answered by Sophie W. Maths tutor
7126 Views

Simplify: 2x + 6y + 2y - x

This is simplified by solving common terms (the x's and the y's). Where X and Y terms can't be solved together.

Splitting it up:  

You can see 2x-x= x

and for ...

SW
Answered by Sophie W. Maths tutor
4383 Views

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