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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 * £...
SR
Answered by Stefanos R. • Maths tutor
3355 Views

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
SR
Answered by Stefanos R. • Maths tutor
4191 Views

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...
TN
Answered by Tegan N. • Maths tutor
14301 Views

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...
LS
Answered by Lior S. • Maths tutor
9076 Views

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,...
JP
Answered by Javier P. • Maths tutor
15855 Views