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Katie wants to buy 4 adult show tickets for £10 each and 2 child show tickets for £3 each. There is a 10% booking fee and 3% is then added for paying by credit card. Work out the total charge for Katie if she pays with a credit card.

Firstly, work out the cost of the tickets without any additional charges.(£10 x 4) + (£3 x 2) = £40 + £6 = £46Now, add on the 10% booking fee. 10 % of £46 = £46 x 0.10 = £4.60New cost = £46 + £4.60 = £50....

Answered by Riana P. • Maths tutor

1962 Views

Solve algebraically the simultaneous equations: (x^2)+(y^2) = 25 , y-3x = 13

Step 1: First rearrange second equation for either x or y (in this example it is easier to make y the subject of the equation: y = 13+3xStep 2: Substitute the expression obtained for y into the first equa...

Answered by Spondan B. • Maths tutor

1954 Views

6x + 2y = 22, 2x + y = 8. Find x and y.

Times second equation by 2.6x + 2y = 22 4x + 2y = 16Cancel the y's to gain equation of just x's. 6x + 2y =22 4x + 2y = 16 - ------------------- 2x = 6 ; x = 3Substitute x into an equation.(2...

Answered by Jacob O. • Maths tutor

2459 Views

How can you factorise quadratics with a an x^2 coefficient higher than one?

If we take an example question such as 20x² - 130 x = -20020x² - 130 x = -200 Divide by 10 to simplify2x² - 13x = -20 Take all of the terms to the left2x²- 13x...

Answered by Vahgisha T. • Maths tutor

1879 Views

Given x=Sqrt(3)sin(2t) and y=4cos^2(t), where 0<t<pi. Show that dy/dx = kSqrt(3)tan(2t).

Differentiating the equation for x with respect to t, we get: dx/dt=2Sqrt(3)cos(2t);Take the reciprocal of dx/dt to get dt/dx=1/[2Sqrt(3)cos(2t)]Using a trigonometric identity on the equation for y, we ge...

Answered by Peter C. • Maths tutor

4049 Views