Answer:
Step-by-step explanation:
Let the original fraction is: x/ x-1
And we have that:
- 4 is added to the numerator => new numerator is: x+4
- 3 is subtracted from the denominator => new denominator is: x -1-3 = x -4
the fraction itself is increased by 2
<=>
=
<=> 
Solve for X then we substitue into the original fraction
Step-by-step explanation:
ratio will be
30/27
= 10/9
=10:9
Rewrite g(x) as x-1
------
4
and then substitute this result for x in f(x) = x^2 - 3x + 3:
f(g(x)) = (x-1)^2 / 4^2 - 3(x-1)/4 + 3.
At this point we can substitute the value 5 for x:
f(g(5)) = (5-1)^2 / 4^2 - 3(5-1)/4 + 3
= 16/16 - 3(4/4) + 3 = 1 - 3 + 3 = 1
Therefore, f(g(5)) = 1.
To subtract vectors, you simply have to subtract correspondent coordinates.
So, if you have

the subtraction is simply

So, in your case, we have

Let the amount B pays be £x
So,
A pays £125
B pays £x
They pay in the ration 3:2
Therefore,
125/x = 3/2
Cross multiplying we get,
125 x 2 = 3x
3x = 250
x = £63.33