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There are 10 boys and 20 girls in a class. The mean mark for the class is 60, the mean mark for the girls is 54. Work out the mean mark for the boys.

Answer: The boys mean mark is 72.Explanation:Start by writing down all the information given in the question: (number of boys = 10, number of girls = 20, girls mean = 54, class mean = 60)Then have a think...

Answered by Verity B. • Maths tutor

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How do you solve simultaneous equations?

A simultaneous equation is when we have 2 equations which both have X and Y in them. The best way to solve these equations is to rearrange one of them to make either X or Y the subject, and then substitut...

Answered by Charlie N. • Maths tutor

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Differentiate y = x^2 + 3x + 5

y = x² + 3x + 5
dy/dx = 2x + 3

Answered by Jonny M. • Maths tutor

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The co-ordinates of P and Q respectively are (-9,7) and (11,12). M is on the line PQ such that PM:MQ = 2:3. L passes perpendicularly through M. What is the equation of L?

Draw a visual representation of P, Q, M and L.Work out the gradient of PQ to be 1/4.Know that the gradient of 2 lines perpendicular to each other multiplied is -1, therefore the gradient of L = -4. Work o...

Answered by Varun A. • Maths tutor

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Solve the following simultaneous equations: x^2 + y^2 = 12, x - 2y = 3

This is an example of quadratic simultaneous equations. We need to work out the value(s) of x OR y by rearranging one of the equations and then substituting it into the other equation. Once obtaining the ...

Answered by Imama Taiba N. • Maths tutor

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