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how do ratios work

ratios are just fractions not written in fraction form, for example 8:9 ratio just means the first value is 8/(8+9) and the second value is 9/(8+9)if a question says that in a ratio of green apples to red...

Answered by Minahil S. Maths tutor
2406 Views

Solve this equation: x²-x-6=0

This equation can be solved by factorisation. Start off with brackets : (x )(x ) =0. We need two numbers that multiply to give 6 and add/subtract to give 1. Start off with 1 and 6. They multiply to give 6...

Answered by Eadaoin D. Maths tutor
2725 Views

The perimeter of a right-angled triangle is 60cm. The lengths of its sides are in the ratio 3:4:5. Work out the area of the triangle.

Draw out a diagram of a right angled triangle. As the lengths of the sides of the triangle are in the ratio 3:4:5, start off by saying each side is 3cm (a), 4cm (b) and 5cm (c) respectively, with 5cm bein...

Answered by Eadaoin D. Maths tutor
4496 Views

Split 1/x^2-1 into partial fractions

First we need to factorise the denominator into (x-1)(x+1). Now we identify that 1/(x-1)(x+1) is equivalent to A/(x-1) + B/(x+1) and now we solve to find the values of A and B. By simplifying the equivale...

Answered by Thomas M. Maths tutor
4635 Views

Solve x^2-5x+6=0

We can factorise into (x-3)(x-2)=0 to get x=3 and x=2 as solutions for this equation.

Answered by Thomas M. Maths tutor
2339 Views

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