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Maths
GCSE

Sarah’s collection contains dresses, skirts and blouses. If the ratio of dresses to skirts is 7 to 4 and the ratio of skirts to blouses is 7 to 2, what is the ratio of dresses to blouses?

Skirts are common in both ratios.

Multiply both ratios by the factors such that skirts are represented by the same number

Dresses: skirts = 7: 4

Skirts: blouse...

Answered by Gift W. Maths tutor
7320 Views

Rationalising the denominator (Surds)

When asked to rationalise simple Surd (square roots that cannot be reduced to a whole number) fractions in the form a/√b we are aiming to remove the surd in the denominator (bottom).----------------------...

Answered by Galen Y. Maths tutor
19298 Views

Find the inverse of f(x) = 7x+4

To start make the equation equal y.
So y = 7x+4
Then rearrange the equation to make x the subject.
Subtract 4 from both sides: y-4 = 7x
Divide by 7: (y-4)/7 = x
Now write it in te...

Answered by Joe S. Maths tutor
12494 Views

Solve the simultaneous equations: y = 4x^2 - 9x - 1 and y = 5 - 4x

Subtract the second equation from the first, giving you: 4x^2 -5x -6

Factorise the quadratic: (4x + 3)(x - 2)

x = -0.75

x= 2

Now substitute these...

Answered by Damilola A. Maths tutor
9566 Views

Solve the simultaneous equations: x^2+y^2=36 ; x=2y+6

Substitute x in terms of y into the first equation:

(2y+6)2+y2=36

Use FOIL to expand the brackets

4y2+24y+36+y2=36 ...

Answered by Daniel B. Maths tutor
29936 Views

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