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Maths
GCSE

Solve the simultaneous equations: 2x+5y=25, x=y+2

using our second equation, we can see that x=y+2. Therefore we can sub x into the first equation. This will give us 2*(y+2)+5y=25. We can go ahead and expand the brackets, which gives us 2y+4+5y=25. We ca...

LW
Answered by Louis W. Maths tutor
3541 Views

Find a quarter of the area of a circle with a diameter of 10cm.

To find a part of the area we need the whole area first.
Find the formula for the area of a circle: A= pi x r2
We have been given the diameter so we need to work out what the radius ...

JS
Answered by Joseph S. Maths tutor
4677 Views

the first four terms in a sequence are 2, 6, 10, 14. what is the nth term? and what is the sum to n terms of the sequence?

the nth term formula is the sum of the first term (a) and the second to last term (n-1) * the common difference (d). so a + (n-1)d where a = 2 and d = 4 in this case is 2 + (n-1)4 = 4n - 2. the sum to...

JL
Answered by Jake L. Maths tutor
16564 Views

What is the next number in this sequence? 10, 13, 20, 31, 46, ...

Analyse the sequence to find the second order difference.10 13 20 31 46 75 3 7 11 15 19 4 4 4 4

FD
Answered by Frank D. Maths tutor
5393 Views

Given that y = 5, solve the following equation for x, 9x - 3y = 97 - 5x

Subsitute y for 5 to give 9x - (3 * 5) = 97 - 5xCalculate the brackets 9x - 15 = 97 - 5xAdd 15 to both sides 9x = 112 - 5xAdd 5x to both sides 14x = 112Divide both sides by 14 x = 8

FD
Answered by Frank D. Maths tutor
3118 Views

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