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Let's reorgansie the information we've been provided with in the question: Colour of marble - number of marbles in the bag Blue - 2x Green - 7 Red - 7x + 5 Orange - 4x - 3 Probability of the green marble ...

Factorise the numerator: x^2 + x - 6 = (x+3)(x-2)

Factorise the denominator: 3x^2 + 9x = 3x(x+3)

Cancel '(x+3)'

Answer: (x-2)/3x

3x² + 6x - 2 = 0 When we have a polynomial with powers of x up to 2 (a quadratic equation) we can apply the quadratic formula : -b ± root(b²-4ac)/2a where your equation is in the for...

(a) In order to add or subtract any fractions, they must first have a common denominator. For this example, I will take this to be 30. Looking at 3/10: in order to change the denomintor to 30, we must mul...

If you have a fraction divided by another fractions things can get tricky, but there is an easy way to avoid getting triple decker fractions! Have a look at this example: (1/2) / (2/5) = (1/2) x (5/2) = (...