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
Answer:
They'll walk 140.28 miles in 42 hours at that pace.
Step-by-step explanation:
In order to find the distance they can travel at a steady pace, we need to take the pace in wich they intend to travel and multiply it by the time that they intend to travel. In this case their pace is 5 miles every 1.5 hours it means that their pace is 5/1.5 = 3.34 m/h, if they travel for 42 hours they'll travel a distance of:
distance = 3.34*42 = 140.28 miles
Answer:
Step-by-step explanation:
There are only two games basketball and baseball.
Any student who plays could play basketball or baseball.
Given that there are 
students in total.
Given that there are 
students who don't play any game at all.
So,there are 
students who play play some baseball or basketball.
The required probability is 
Answer:
QR=2x=16
Step-by-step explanation:
2x+8= 3x
8=3x-2x
8=x
QR=2x= 8*2=16
