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White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.

3:2 means there are 5 parts. So 18 litres can be divided by 5, and the price of each part worked out individuallly.

18 / 5 = 3.6

To work out how much the white paint costs: 3.6 x £2.80 = £10...

SH
Answered by Sophia H. Maths tutor
2700 Views

Use implicit differentiation to find dy/dx of a curve with equation x^3 + yx^2 = y^2 + 1.

Begin by differentiating each term w.r.t x: d/dx(x^3) + d/dx(yx^2) = d/dx(y^2) + d/dx(1). the terms x^3 and 1 are simple enough to start of with: d/dx(x^3) = 3x^2 and d/dx(1) = 0. Next use the chain rule ...

MH
Answered by Marlon H. Maths tutor
4247 Views

How do I expand the following equation (x+4)(x+2)

When dealing with questions to do with expanding brackets, you must multiply every term in one bracket with all the others in the second bracket. So for this question, we can see we have 4 terms in total:...

HM
Answered by Henry M. Maths tutor
16229 Views

How do you solve simultaneous equtions?

Say you had two equtions to solve simultaneously.

Example 1: x + 5y = -7; 2x - 2y = 10

Multiply one of the equtions so that one of the variables has the same coefficient. In this example, I ...

NS
3058 Views

How do you solve simultaneous equations and why do you do it?

Solving simultaneous equations allows you to identify at which point on a graph two lines intersect. For example, take the straight line -x + y = 2 and parabolic curve y= x Firstly, let's re-...

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Answered by Peter H. Maths tutor
3307 Views

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