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If I buy a dress at 30% off the original price and I pay £40. How much was the dress originally?

I like to address this question by using similar fractions. That is to say x/y=2x/2y X over y is the same as 2x over 2y In this example we are asked what the full price of the dress is, as in what 100% of th...
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Answered by Lauren R. • Maths tutor
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A right angled triangle with sides 7cm and 11cm, find the hypotenuse

General rule for any right angled triangle: a^2+b^2=c^2, with a and b being the shorter sides and c being the hypotenuse (the longest side). Using the equation: a=7 and b = 11 and c=hypotenuse we want to fin...
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Answered by Gwen F. • Maths tutor
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Make x the subject of the equation y=(3x+5)/(4-x)

(1) Get rid of the fraction by multiply both sides by (4-x), we now have y(4-x)=3x+5. (2) Expand any brackets, so 4y-py=3x+5. (3) Rearrange to get all the x to one side: 4y-5=3x+px. (4) Factorise x because w...
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Answered by Gwen F. • Maths tutor
12989 Views

A and B are two points. Point A has coordinates (–2, 4). Point B has coordinates (8, 9). C is the midpoint of the line segment AB. Find the coordinates of C

Think about the x-coordinate and the y-coordinate separately. Starting with the x-coordinate: Find the difference between the two x-coordinates -2 and 8, which is 10. to find the mid-point, we need to half t...
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Answered by Gwen F. • Maths tutor
21898 Views

What is red shift?

You see colours due to the length of a wave of light. When a distant galaxy is moving away from us the wavelength increases due to the Doppler Effect (which you may have studied using the sound of a passing ...
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Answered by Carys L. • Maths tutor
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