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Maths
GCSE

Solve the equation (x+2)/(x-3)=(x-6)/(x+1) for x.

We need to multiply both sides by the denominator (the bottom of the fraction) in both fractions so we get:(x+2)(x-3)(x+1)/(x-3)=(x-6)(x-3)(x+1)/(x+1)Now, we can see that we can cancel each fraction to ge...

TH
Answered by Tom H. Maths tutor
2784 Views

A shop sells only Apples, Bananas and Mangos. The ratio of Apples to Bananas is 5:11. The next shopper will choose one piece of fruit at random. The probability that they buy a Mango is 0.2. What is the probability that they buy an Apple?

We have the probability of choosing a Mango is 0.2 so the probability of choosing an Apple or Banana is 1-0.2=0.8.Next we use the ratio 5:11 to see that for every (5+11)=16 Apples or Bananas, 5 will be Ap...

GM
Answered by Gregor M. Maths tutor
3551 Views

An item costs £65 but requires an additional 20% VAT to be added. How much change will you get from £100

(65 / 10)*2 = 13 This is the total amount of VAT to be added.65 + 13 = 78 This is the total amount spent.100-78= 22 Total change is £22.

CR
Answered by Carys R. Maths tutor
2742 Views

Solve the following two equations simultaneously: 3x + y = 10, x + y = 4

  1. Label the equations Equation 1: 3x + y = 10Equation 2: x + y = 42) Establish if the equations need to be subtracted or added together: 'Same sign is subtract and different sign is add' Therefore we ...
BA
Answered by Bethany A. Maths tutor
2684 Views

Sketching a quadratic

Firstly ensure equation is equal to 0, so all variables are on one side of the equation. Factorize the quadratic to find the x intercepts. Complete the square to find the minimum/maximum point of the curv...

AB
Answered by Abraham B. Maths tutor
2680 Views

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