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Maths
GCSE

Solve 4x+y=7 and 3x+2y=9

Firstly we identify the problem, in this case we have 2 equations which contain a total of 2 unknowns, it is therefore simultaneous equations.Our first step is to rearrange an equation of our choice to gi...

OS
Answered by Oliver S. Maths tutor
4868 Views

How do I use trigonometric ratios to work out lengths in right-angled triangles?

There are three trigonometric ratios: sine, cosine and tangent, shortened to sin, cos and tan. Firstly, let's draw a triangle and label the sides. In a right-angled triangle, we call the bottom side betwe...

JC
Answered by Joseph C. Maths tutor
2851 Views

Work out the percentage increase from 30 to 420.

First, we need to work out the difference (increase) between our two numbers:420 - 30 = 390
Second, we divide the difference by the original starting number:390 / 30 = 13
Lastly, we multiply thi...

SS
Answered by Sophia S. Maths tutor
3019 Views

Factorise fully y=x^2+x-12 and hence find the roots of the curve

To factorise a quadratic in the form ax^2+bx+c we need to find 2 numbers which add to get b and multiply to get c. In this case a=1, b=1 and c=-12. Two numbers which add to 1 and multiply to -12 are 4 and...

RW
Answered by Rhys W. Maths tutor
2986 Views

Out of a sample of 80 batteries, 3 are faulty. What percentage of the batteries are faulty?

80F = 100 | F = 10/8 | 3(10/8) = 3.75 | Therefore, 3.75% of the batteries are faulty.

PS
Answered by Patrick S. Maths tutor
7052 Views

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