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Maths
GCSE

Find the area of the rectangle, in cm, with width 4x and length (y+5). Then calculate the area for x = 7 and y = 8.

To start, we need to state that the area of a rectangle is the length multiplied by the width. Therefore, the area will be 4x multiplied by (y+5). Now to do this we need to expand the bracket. To expand t...

TP
Answered by Toby P. Maths tutor
2544 Views

There are 12 counters in a bag. There is an equal number of red counters, yellow counters and blue counters in the bag. There are no other counters in the bag. 3 counters are taken from the bag. Work out the probability of taking 3 red counters.

If there are 12 counters in a bag,each with colour either red, yellow or blue, we can say that the number of red counters, blue counters and yellow counters must add up to 12.R + B + Y = 12 ( R = No. of R...

LB
Answered by Lewis B. Maths tutor
14017 Views

What are the two roots for the equation x^2 + 7x + 10 = 0

Start by looking for multiples of 10. You have the pairs 2 & 5 and 1 & 10. Both signs are positive in the original equation so it will either be positive 2 & 5 or positive 1 & 10. Clearly ...

ER
Answered by Edward R. Maths tutor
2584 Views

Factorise 12x^2 - 20x + 3

We know our answer is going to look like this: (ax + b)(cx + d).
First we can split our original equation in order to make it easy to simplify. As we know that 12 multiplied by 3 is equal to 36 we c...

EG
Answered by Emma G. Maths tutor
3685 Views

A family go into a shop, they buy three sandwiches and two packets of crisps. It costs them £9. Another family buy five sandwiches and six packets of crisps. It costs them £19. How much does two sandwiches and five packets of crisps cost?

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...

NW
Answered by Nicholas W. Maths tutor
2832 Views

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