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In a sale, the original price of a bag was reduced by 1/5. The sale price of the bag is £29.40. Work out the original price.

We currently have 80% of the original price and aim to find 100%. We know that 80% is equal to £29.40. Dividing £29.40 by 80 gives the value of 1% which is £0.3675. Multiplying this by 100 give the desired 1...
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Answered by Oliver B. • Maths tutor
14492 Views

c is a positive integer. Prove that (6c^3 + 30c) / (3c^2 +15) is an even number.

We aim to factorise the numerator. This would give 6c(c^2 + 5). We then factorise the denominator. This would give 3(c^2 + 5). Since (c^2 + 5) is present in both the numerator and denominator, it will cancel...
OB
Answered by Oliver B. • Maths tutor
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Integrate 3x*2 using limits of 3 and 2

(See whiteboard for step by step process) First, we write down the function we want to integrate (3x 2), and include the limits at the top and bottom of our integration sign to show that it's a definite inte...
CW
Answered by Charlie W. • Maths tutor
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differentiate (1+2x^2)^(1/2)

This differentiation requires use of the chain rule. The first step is to differentiate the whole thing, treating the bracket as u, so u=1+2x 2 . Therefore we are differentiating u 1/2 . This means our first...
RS
Answered by Reuben S. • Maths tutor
11620 Views

Factorise this formula completely 2kx + 6ky + 4kz

2kx + 6ky + 4kz =2k (x + 3y + 2z)
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Answered by Samah K. • Maths tutor
4908 Views