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Emma has a digital photo. The photo has width 960 pixels and height 720 pixels. Write down the ratio of the width of the photo to the height of the photo. Give the ratio in its simplest form.

4:3 Working: 960:720 (divide by 10) 96:72 (divide by 8 as 8 is common multiple of both 96 and 72 (should know this from times tables)) 12:9 (divide by 3) 4:3 simplifying slowly and in small steps reduces the...
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Answered by Alexandra D. • Maths tutor
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Expand 2x(x-3)

2x 2 - 6x
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Answered by Alexandra D. • Maths tutor
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Two shops have deals for purchasing pens: "3 for £2" and "5 for £3" . Mr. Papadopoulos wants to buy 30 pens for his class in school, which deal should he use if he wants to spend the least amount of money possible, and how much will he spend?

3 for £2, he needs 30 pens so he needs to buy the deal 10 (30/3) times, meaning he needs to spend 10 * £2 = £20 5 for £3, he needs 30 pens so he needs the deal 6 (30/5) times, meaning he needs to spend 6 * £...
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Answered by Stefanos R. • Maths tutor
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Factorise x^2-x-6=0, and solve, finding the values of x

When you factorise an equation, the final form should look like this: (x+a)(a+b)=0 in order to work out the possible value(s) for x. As a result, working backwards, we expand the already factorised final for...
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Answered by Lior S. • Maths tutor
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Rewrite in the logarithmic form: T=2π√(L/G)

Firstly we should add log to both sides of the equation, knowing that modifying one side can be balanced by doing the exact same thing on the other side. On the right hand side, using logarithmic identities,...
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Answered by Javier P. • Maths tutor
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