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Maths
GCSE

5y + 1 = 3y + 13

The first step is to reverse any addition or subtraction. Gather all terms being added on one side. Remember that crossing over from one side of the equal sign to the other negates the symbol before the n...

Answered by Princess C. Maths tutor
3166 Views

A is the point with coordinates (5, 9). B is the point with coordinates (d, 15). The gradient of the line AB is 3. Work out the value of d.

y = mx + c m is the gradient and c is the y-interceptUse values for A, x=5 y=9 and m=3so 9 = (3 x 5) + c 9 = 15 + c c = -6Then use coordinates for B, x=d y=15 and m=3so 15 = (3 x d) -6 15 = 3d - 6 21 = 3d...

Answered by Amani B. Maths tutor
4307 Views

There are only 7 blue pens, 4 green pens and 6 red pens in a box. One pen is taken at random from the box. Write down the probability that this pen is blue.

The probability is the likelihood of an event occurring.In this case, 1 pen is being taken out of a bag of; 7 blue pens, 4 green pens and 6 red pens. This means 1 out of 17 (7+4+6) pens will be taken.We a...

Answered by James A. Maths tutor
4014 Views

Simplify fully [(256x^20)/(y^8)]^ (-1/4).

First, flip the whole fraction so it becomes the (y^8/256x^20)^0.25. This is because there is a negative power, which flips the whole fraction. Secondly, you would solve each element of the fraction indiv...

Answered by Max W. Maths tutor
7758 Views

Work out the value of (16/81)^(3/4)

Firstly it is easier to think of the power (3/4) as two separate parts. The first part being 3/1 (which is the same as cubing a number) and the second part being 1/4 (which is the same as the quartic roo...

Answered by Stefano S. Maths tutor
10208 Views

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