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the total number of parts of the ratio is 3+4 = 7. liv will therefore receive 3/7 parts of the total amount, so liv will get 3/7 x 350000 = 150,000Laura will receive 4/7 parts of the total amount, so laur...

Utilising the cosine rule: c² = a² + b² - 2abcosC, substitute in the given lengths. We therefore get that 14² = 10² + 8² − 2 × 10 × 8 × cosA . Expanding this expression we then get that 196 = 164 - 160cos...

Make x= Tea and y= CoffeeTherefore 3x + 2y = 7.80 (1) and 5x + 4y = 14.20. (2)Want either x or y to be equal for both equations- therefore make (1) 6x + 4y = 15.60 (3)“Same signs subtract” so do (3) - (2)...

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Factorising is taking an expression of some sort and simplifying it down to its component parts so that they are presented in the simplest way possible. For example, take the expression (15pq + 10pqr). Fi...