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We will call sandwiches S and packets of crisps C. These are the 'unknowns'. From the information we can write down two equations. Equation 1: 3S + 2C = 9 and Equation 2: 5S + 6C = 19. We need two equatio...

If d is directly proportional to the square of t, we write this as d= kt² , where k = the proportionality constant which we must find. Substitute in the values given in the question into our e...

16=2(x+3)+(x+4)16=2x+6+x+46=3xx=2 - Therefore the base has length 6
a=6y/2 - where y is the perpendicular heighty^2=5^2-3^2y^2=25-9y^2=16y=4
Therefore a=(6*4)/2 a=12 cm^2

Substitute y = 5x + 2 into 8x + 7y = 11 to get, 8x + 7(5x + 2) = 11This simplifies down to 8x + 35x + 14 = 11And further simplifies to 43x = -3 giving the solution x = -3/43Substituting the x solution bac...

a)starting from ax²+bx+c=0, divide through by a, x²+(b/a)x+c/a=0, complete the square (x+(b/2a))²-(b/2a)² +c/a=0, expand (x+(b/2a))²-(b²/4...