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Both of these lines are straight lines since they only have x and y to powers of 1; and constants. Straight lines can be defined if two parameters are known, the gradient and the y-intercept. For two line...

Ratio of females who like popcorn to the females who don't like popcorn is 2:1. If 10 females don't like popcorn, then (10 *2) 20 females like popcorn. 10+20 = 30 females altogether. 30/3= 10 males altog...

R and B are directly proportional variables. Therefore, we can write a relationship between them as R = kB where k is a proportionality constant. We can rearrange this equation to calculate the value of k...

Firstly, simplify the numerator by factorising the quadratic, to give a numerator of (3x+2)(x-1). Now, divide through by (x-1), to give (3x+2).

We need the equation in the form (x+a)(x+b)=0. The numbers in the brackets (a and b) must multiply together to get the constant at the end of the equation, in this case 12. The numbers (a and b) must add ...