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Maths
GCSE

How do I make x the subject of the formula?

5x+11=(y+2)/2
Best way to think about this is like its a normal equation where you're trying to find the value of x, just break it down into simple steps. The best thing to do first is to get rid of ...

IO
Answered by Isabelle O. Maths tutor
11606 Views

The first floor of an ancient japanese tower has 150 steps. Each floor above has 5 fewer floors than the previous. So, the second floor has 145 steps, the third 140 etc. How many floors does the tower have if the final floor has 30 steps leading to it.

Note this is an arithmetic series problem, so we use the equation: xn = a + d(n-1).
Number of steps on the first floor is 'a', i.e. a = 150.
Difference in the number of steps on each ...

JF
Answered by Joel F. Maths tutor
2889 Views

The ratio of Adam's age to Bob's age is 1:2. In 12 years time, the ratio of their ages will be 3:5. Calculate their current ages.

Now: In 12 years:A:B A:B1:2x:2x x+12:2x+12 = 3:5
x+12 = 2x+123 55(x+12) = 3(2x+12)5x + 60 = 6x + 36x = 24
A:B Adam = 24, Bob = 48x:2x24:2(24)24:48

AS
Answered by Aaron S. Maths tutor
4434 Views

Simplify: 2x + 6y + 2y - x

Step 1) Rearrange the equation as follows: (2x - x) + (6y + 2y) this makes it easier to see which values you can add together.Step 2) Solve the calculation in each bracket: x + 8y. Successfully simplifyin...

BL
Answered by Benjamin L. Maths tutor
3274 Views

Factorise x^2 + 8x + 12 (2017 non-calculator paper)

This question requires you to work through methodically in stages. We want two numbers, a and b, which fit into brackets of the form: (x + a)(x + b). By doing this, we have simplified the expression throu...

EM
Answered by Ella M. Maths tutor
3495 Views

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