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First, we must cross multiply to remove the fractions, to do this, we multiply each numerator by the opposite denominator: (x)(12x+31) = (6x+5)(4x-1). Then, we multiply out the brackets t...

So the Adams family consists of 2 adults and 2 children. We know that all-day ticket for an adult is £8. Therefore the price for 2 adults would be:£8 x2 = £16. We also know that an all-day ticket for a ch...

√48 = √3 x √16 = √3 x 4 = 4√3

First, add the two fractions together. The common denominator is 2(x+1), or 2x+2. The first fraction becomes 6/(2x+2). The second fraction becomes (x+1)(3x-9)/(2x+2), or (3x²-6x -9)/(2x+2). Add...

First, we want all the terms with X on one side, so let's +5 to both sides.3x² = 48Let's simplify, so we get x² on its own.48÷ 3=16x² = 16Now, we need x 'unsquared', so we...