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Maths
GCSE

Use the equation 2(x+4) + 6(x-1) = 14, to find x.

Firstly, you need to get rid of any brackets. You do this by expanding them. This becomes 2x + 8 + 6x - 6 = 14.

The next step is to get all the x's on one side, and all the numbers on the other. Yo...

UR
Answered by Ursula R. Maths tutor
3143 Views

Solve the simultaneous equations (1) x + 3y = 7 and (2) 2x + y = 4

It's impossible to solve an equation with two unknowns (x and y) so we must find a way to get rid of either x or y before solving an equation. Using substitution rearrange the equation 1 so x is the only ...

SS
Answered by Simon S. Maths tutor
4105 Views

64% of an audience are female. Work out the ratio females : males Give your answer in its simplest form.

64% are female. This 64% out of 100%.

36% are male  

So the ratio is 64 : 36 or 32 : 18


Can then be simplified to 16 : 9

JQ
Answered by Jordan Q. Maths tutor
3171 Views

A cuboid of height 5 cm has a base of side 'a' cm. The longest diagonal of the cuboid is 'L' cm. Show that 'a' = SQRT[ (L^2 - 25)/2]

A cuboid is made of squares and rectangles, with the diagonal 'L' connecting opposite corners of the 2 square faces. As the cuboids corners are all right angles, all the diagonals form right angled triang...

JP
Answered by Joshua P. Maths tutor
4412 Views

A conical vase of base radius 5cm and height 20cm is filled with 200ml of water, how high is the water level? Give your answer to 3 significant figures.

Answer: 2.96 cm

Equations used: Volume of a cone = (base area x height) / 3 ; Base Area = pi x radius2

Volume of whole vase = (pi x 52 x 20)/3 = 523.6 cm3

IC
Answered by Ian C. Maths tutor
2901 Views

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