Answer:
H = 20.5 hours
I = 19.5 Hours
Step-by-step explanation:
Start by creating a system.
I = time which the inlet pipe takes alone to fill the pond
H = time which the hose takes alone to fill the pond
10/I + 10/H = 10
H - I = 1
H = 20.5 hours
I = 19.5 Hours
Awnser=0.75
You can first reduce this fraction by dividing both the numerator and denominator by the greatest common Factor of 27 and 36 using GFC(27,36)=9.
We are given a system of equations,

This will translate into a 2x2 matrix of coefficients (because 2 equations and 2 unknowns),

The matrix will then be applied to the vector (lower dimensions on top),

And the result vector will be whats on the other side of equals sign,

So to put everything together,

Hope this helps :)
Let the cost for renting be y and the number of hours be x
then:
y=kx
where:
k is the constant of proportionality
k=y/x
y=$32.5 when x=5 hours
thus;
k=32.5/5
k=6.5
hence the equation is:
y=6.5x
thus the value of y when x=8 hours will be:
y=6.5(8)=$52
Answer:'
<span>A y = $6.5x, y = $52.00</span>