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Mike has 4 blue balls, 6 green balls and 10 yellow balls what is the probability that he will pick a yellow ball.

It would be worked out by adding 4+6+10 to get 20 and then it would be number of yellow balls over total number of balls which would be 10/20. Depending on ability this may then be simplified down to 1/2.
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Answered by Georgia E. • Maths tutor
2687 Views

The diagram shows a garden in the shape of a rectangle. All measurements are in metres. The length of the rectangle: 4+3x and the width of the rectangle: x+6. The perimeter of the garden is 32 metres. Work out the value of x

Perimeter of a rectangle is the sum of all the sides. Therefore: 2(4+3x) + 2(x+6) = 32. Then, you expand: 8+6x+2x+12=32. Then, 8x+20=32. Finally, 8x=12, meaning that x=3/2.
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Answered by Sayakki P. • Maths tutor
16109 Views

How do you solve an equation like x^2+3x-4=0

There are many ways of solving this equation, which is called a second order polynomial (where the order describes the highest power of x), let's focus on the most general for now: the quadratic formula. For...
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Answered by Victor L. • Maths tutor
3735 Views

c is a positive integer. Prove that (6c^3+30c) / ( 3c^2 +15) is an even number.

Our starting equation (6c 3 +30c) / ( 3c 2 +15) can be factorised by 6c on the top row and 3 on the bottom row so you get 6c(c 2 +5) / 3(c 2 +5). Because (c 2 +5) is on the top and bottom row it can be cance...
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Answered by Lenya A. • Maths tutor
6597 Views

How do I multiply two brackets without missing terms when multiplying?

In order to answer these sorts of questions where you have double brackets and need to expand them it is useful to use the FOIL (First Outer Inner Last) method. By using this systematic method it ensures you...
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Answered by Andrew R. • Maths tutor
7023 Views