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How many thirds are there in 9?

It is crucial to know that three thirds make up 1. If there are 9 lots of 1, then we would need 9 times the amount of thirds that make up 1. Therefore, there are (9 x 3) thirds in 9, which equals 27 thirds.
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Answered by Melanie U. • Maths tutor
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Simplify the following expression fully: 4x + 5y + 6x - 7y

We must identify the like terms and combine them: 4x + 5y + 6x - 7y 4x + 6x = 10x 5y - 7y = -2y Therefore, the simplified expression is 10x - 2y.
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Answered by Melanie U. • Maths tutor
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Work out the value of: 2+8x3

When it comes to equations that have more than one symbol, you must always follow BODMAS: Brackets, Order, Division, Multiplication, Addition, Subtraction. The equation we have is 2 + 8 x 3, using BODMAS we ...
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Answered by Melanie U. • Maths tutor
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Prove that 1/sin(2theta) - cos(2theta)/sin(2theta) = tan(theta)

Before we begin to approach this question, we first write down all the relevant formulae for this trigonometry question. We can see that we will need the double angle formulae (on account of the presence of ...
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Answered by Colin M. • Maths tutor
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What is dy/dx when y=ln(6x)?

This is a common question on A2 Maths papers as it tests both the ability to use the chain rule and the ability to differentiate natural logarithms. y = ln(6x) Alarm bells should start ringing whenever a que...
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Answered by Eleanor M. • Maths tutor
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