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A brother and sister share some pocket money together in the ratio of 4:7. The brother receives £18 less than his sister. How much pocket money do the brother and sister get each?

The brother receives £18 less, meaning the sister receives £18 more than the brother.7 - 4= 3. This means that 3 parts of the ratio is equal to £18, therefore 1 part of the ratio is equal to £6.Brother gets:...
JD
Answered by Jojo D. • Maths tutor
3317 Views

A block of mass M lies stationary on a rough plane inclined at an angle x to the horizontal. Find a general expression relating the coeffecient of friction between the block and the plane and the angle x. At what angle does the box begin to slide?

The first step to any problem is to draw a suitable diagram. Here we draw a free body diagram, marking the angle x, the friction force F, normal reaction force N and weight of the block M g. "Stationary...
EG
Answered by Elliot G. • Maths tutor
3182 Views

A particle, P, moves along the x-axis. At time t seconds, t > 0, the displacement, is given by x=1/2t^2(t ^2−2t+1).

Find the times when P is instantaneously at rest.In order to solve this question we first have to multiply out in order to obtain the full expression of x which will be x = 1/2t^4 -2t^3+1/2t^2. Now we differ...
AK
Answered by Aleksander K. • Maths tutor
19738 Views

Comound interest: A car is bought for the price of £12 000, but its value depreciates every year by 8%. Calculate, how much will the car be worth in 5 years

The question states the value of the car depreciates every year by 8%. This means that from the original, 100% value of the car in a set year, every consecutive year the value will decrease by 8% so that the...
VB
Answered by Victoria B. • Maths tutor
5192 Views

How to find LCM and HCF of two numbers

Take numbers 24 and 36 for example.First we'd need to find the prime factors of each of the two numbers which can be done through factor trees24 = 2 3 x 336 = 2 2 x 3 2 What we do next is set of a venn diagr...
NI
Answered by Nafi I. • Maths tutor
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