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200 pupils are taking a school trip. Some are flying, some are taking the bus. There are three times as many boys going as girls. One third of the boys going are flying. How many boys are getting the bus?

x is number of boys. y is number of girlsx + y = 200x = 3y4y = 200y = 50x = 1502/3 * 150 = 100 boys getting the bus

JC
Answered by Jonty C. Maths tutor
2467 Views

Express 3/(x+1) + 4x/(2x+5) as a single fraction.

Multiply both numerators and denominator by the opposite denominators to get 3(2x+5)/(2x+5)(x+1) and 4x(x+1)/(2x+5)(x+1). Now the denominators are both equal so we can combine into one fraction and add th...

ES
Answered by Euan S. Maths tutor
4030 Views

Integrate f(x)=lnx

Integration by parts formula is given in all A level maths formula books however would be of use to memorise Formula: INT(uv')dx= uv- INT(u'v)dx Hint: write lnx as (1).lnxlet u=lnxhence u' = du/dx = 1/x l...

GN
Answered by George N. Maths tutor
3393 Views

Solve x^2+x-30=0

To solve this question we need to factorise x2 +x-30=0 to find the points in which the function x2 +x-30=0 intersects/ cuts the x axis. We factorise the function x2 +x-30=...

DP
Answered by Dylan P. Maths tutor
4125 Views

What is the slope of the function y=3x(squared)-9x+7 at x=2.

In order to find the slope of the given function, we firstly have to find its first order derivative. This derivative will give us the slope of the original function at every point. To find the derivative...

NK
Answered by Niclas K. Maths tutor
2584 Views

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