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How to expand and simplify expressions

Depending on the expression how to expand and simplify is different. Commonly for two brackets back to back these are expanded by the FOIL method. Multiply together the two first parts of the brackets, th...

Answered by Jake W. Maths tutor
2685 Views

Evaluate 5/(x−1)+2/(x+4)

we need to have a common denominator (bottom number the same) to be able to add or subtract fractionsmultiply first fraction by (x+4) on numerator (top) and denominator (bottom)multiply second fraction by...

Answered by Claire W. Maths tutor
2047 Views

The straight line L1 passes through the points with coordinates (4, 6) and (12, 2) . The straight line L2 passes through the origin and has a gradient of -3. The lines L1 and L2 intersect at point P. Find the coordinates of P.

First, we want to find the gradient of L1 using (4,6) and (12,2)m= (2-6)/ (12-4) = -1/2 then we can find the equation of L1 using y=mx+c rearrange for c as the subject, c= y-mx and substitute the gradient...

Answered by Anaika N. Maths tutor
8673 Views

Mary keeps some animals on her farm.She has 12 sheep,16 cows,24 chickens and 6 pigs. Mary sells 8 of her sheep.What percentage of her remaining animals are sheep?

You need to work out how many animals there are in total first. Mary sells 8 of her sheep so 12-8 = 4 sheep In total she'll have 4+ 16 + 24 + 6 = 50 animals 4/50 = 0.08 0.08 x 100 = 8% - to get a percent...

Answered by Pan M. Maths tutor
3916 Views

Tom tosses a coin. Every toss lands on either heads or tails. The coin lands on heads two thirds of the first 24 games. The coin then lands on heads the next 6 games. For all 30 tosses, work out the ratio heads:tails. Give the answer in the simplest form.

For the first 24 games, heads = 24 x (2/3) = 16. For the next 6 games, heads = 6. Total number of heads = 22. 30 - 22 = 8 therefore tales = 8. Therefore, ratio = 22:8 = 11:4, heads:tales.

Answered by Sam P. Maths tutor
1862 Views

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