Answer:
t = 4 h
Step-by-step explanation:
Painter A initial fee 40 $ and each hour charge 45 $
Painter B initial fee 100 $ and each hour charge 30 $
The equations for painters are straight lines.
The initial fee is the intercept of the line with the y-axis ( painters receive 40 and 100 $ respectively and they have done nothing.
The equation for a straight line is:
y = m*x + b where m is the slope and b the intercept with the y-axis
Then
Painter A when x = 0 y = b = 40
And each hour of work cost 45 $ then f x = t in hours
The equation for Painter A is y = 45*t + 40
Similarly, the equation for Painter B is
y = 30*t + 100
We have a two equations system, the solution will indicate when the two painters will charge the same amount of money
y = 45*t + 40 (1)
y = 30*t + 100 (2)
Equation 1 - equation 2
0 = 15*t - 60
15*t = 60
t = 60/15
t = 4 h
Eight more than six times a number added to one more than nine times the number
(8 + 6x) + (1 + 9x)
9 + 15x
The answer is B) 18:) hope this helps
Subtract 6x over so you have y - 6x = 11, and 2y - 4x = 14. This is a system of equations. Multiply the first equation by 2 to get 2y - 12x = 22. By subtracting the second equation from the first, you get 8x = -8. So, x = -1. Plug that into the first equation and y = 5. Plug both of those answers into the equation to check. 2(5) - 4(-1) = 14, 14 = 14. The answers y = 5, and x = -1 check out.
If they are taking 112 minutes to get 14 miles you can divide 14 by 112 to get 8. You then multiply 8 by 35 to get the number of minutes which would get the final answer 280
