Top answers

Given the two equations [1](3x + 4y = 23) and [2](2x + 3y = 16), find the values of x and y

One way to find the values of x and y is to substitute the value of x into one of the equations. To sub in x we need to rearrange an equation to get x on its own. We can change the second equation to x = (16...
SH
Answered by Stephen H. • Maths tutor
3826 Views

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
3292 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
5172 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
3646 Views

Given that 3cm and 4cm are the shorter sides of a right-angled triangle, find the length of the hypotenuse.

When given 2 known sides of a right angled triangle, we can use Pythagoras' Theorem to find the last unknown side. The formula follows as below:A 2 = B 2 + C 2 Where A represents the longest side of the tria...
HH
Answered by Hamzah H. • Maths tutor
6400 Views