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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 value wi...
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Answered by Ciaran C. • Maths tutor
4110 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 is substitution because we can sub in an equatio...
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Answered by Sophie W. • Maths tutor
7604 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 the Y terms (+)6y+2y=8y Therefore the final answer...
SW
Answered by Sophie W. • Maths tutor
4746 Views

How do I use the chain rule for differentiation?

The chain rule is used when we have a function in the form f(g(x)). For example sin(x^3). [In this case, f(x) = sin(x) and g(x) = x^3] The chain rule says that the derivative of f(g(x)) is g'(x)*f'(g(x)). Fo...
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Answered by Tom K. • Maths tutor
5599 Views

Factorise x^2 + 7x + 10

'Factorise' essentially means put into a simpler form, in this case with two sets of linear equations which would multiply out to give the quadratic equation shown above. What we are looking for to begin wit...
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Answered by David J. • Maths tutor
27731 Views