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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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Calculate, giving the answer as simply as possible, 7/12 + 1/12

7/12 + 1/12 = 8/12 8/12 can be simplified to 2/3 therefore the answer is 2/3 as this is the most simplified version of the fraction 8/12
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Answered by Stefanos R. • Maths tutor
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Prove the identity (4cos(2x))/(1+cos(2x)) = 4-2sec^2(x)

Write down the formulas involving cos2x and select the one which involves only cosine, this is because cosine (or derivations of it) is the only trigonometric function in this question. Substitute the chosen...
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Answered by Tegan N. • Maths tutor
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