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There are n sweets in a bag. 6 are Orange, the rest are Yellow. Hannah takes a sweet out of the bag, and eats it, she does this twice. The Probability of Hannah eating two orange sweets is 1/3. Show that n^2 - n - 90 =0, and solve to find the value of n.

The first thing to recognise about this probability question, is the probability of eating an orange sweet from the bag. When she first puts her hand in the bag, there are a total of n sweets in the bag, and...
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Answered by Dylan D. • Maths tutor
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A box has length 3x cm, width 2x cm and height x cm. The total surface area of the box is 2662 cm^2. Find an equation for the surface area of the box, and use this to find the true values of the dimensions of the box.

Here we are given the surface are of a cuboid box and the dimensions of the box with an unknown variable. Well the total surface area of a cuboid, is going to be the surface area of each of the faces of it a...
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Answered by Dylan D. • Maths tutor
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What is the sum of the factors of 21?

Let's break down what this question is asking. It wants the sum of, meaning the value added together, of the factors of, meaning the whole numbers that you can divide into 21 and still get a whole number, 21...
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Answered by Dylan D. • Maths tutor
15994 Views

The Curve, C, has equation: x^2 - 3xy - 4y^2 +64 =0 Find dy/dx in terms of x and y. [Taken from Edexcel C4 2015 Q6a]

The question asks us to find dy/dx, in terms of x and y. Here though it is not in the form of y=f(x), but a mixed form, which we will not be able to separate out. We will have to use Implicit differentiation...
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Answered by Dylan D. • Maths tutor
12090 Views

Simplify (2^2)^3

The laws of powers explain that it is possible to add powers together when a power is raised against another. Therefore the answer is as follows 2^(2+3) = 2^5
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Answered by Curtis O. • Maths tutor
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