Initial charge charged by the Singer A = $50
Hourly charge of Singer A = $20
Initial amount charged by Singer B = $100
Hourly rate charged by Singer B = $10
Let us assume the time after which both singers will charge the smae amount of money = x
Then
50 + 20x = 100 + 10x
20x -10x = 100 - 50
10x = 50
x = 50/10
= 5
So after 5 hours both Singer A and Singer B will charge the same amount of money. I hope the procedure is clear to you and you can attempt such problems in future without needing any kind of help.
Answer:
scale factor = 
Step-by-step explanation:
note
8 ×
=
, so
scale factor = 
Answer:
x = 
Step-by-step explanation:
Given
ax = bx + 1
Collect the terms in x on the left side by subtracting bx from both sides
ax - bx = 1 ← factor out x from each term on the left side
x(a - b) = 1 ← divide both sides by (a - b)
x = 
For this case we have that if the line that passes through point z is perpendicular to line AB, it is fulfilled that:

We find the slope of AB:

We choose the points that go through AB:
(-2.4)
(0, -4)

So:

On the other hand, the point z is (0,2).
Then the cut point with the "y" axis is 2.
The equation of the line is:

We test the points:
(-4,1)

Is fulfilled
(1, -2)

It is not true
(2,0)

It is not true
(4,4)

It is not true
Answer:
Option A