Let p be the prize of a pen and m the prize of a mechanical pencils. If you buy six pens and one mechanical pencil, you spend 6p+m. We know that this equals 9, because you get 1$ change from a 10$ bill.
Similarly, if you buy four pens and two mechanical pencils, you spend 4p+2m, which is 8$, because now you get a $2 change. Put these equation together in a system:
Now, if you multiply the first equation by 2, the system becomes
Subtract the second equation from the first:
Plug this value into the first equation to get
Answer: 72 miles.
Step-by-step explanation:
We know the relationship:
Distance = speed*time.
Then we can write the equation for distance as a function of time for Ali as:
A(t) = 12mph*t
where t is time in hours.
Fatimah's equation will be:
F(t) = 18mph*(t - 2h)
where the -2h appears because she starts two hours after Ali.
Fatimah will overtake Ali when F(t) = A(t) (their positions are the same)
Then we need to solve:
12mph*t = 18mph*(t - 2h)
12mph*t = 18mph*t - 18mph*2h
12mph*t = 18mph*t - 36 mi
36 mi = (18mph - 12mph)*t
36mi = 6mph*t
36mi/6mph = t
6h = t
So Ali travels for 6 hours before he gets overtaken, then the total distance that Ali travels is:
A(6h) = 12mph*6h = 72 mi
Answer:
is 40/41 because is de answerv
Hey there, again! :D
Since the angle measuring 38 degrees is adjacent to m<1, it will equal 180 degrees.
180-38= 142
m<1= 142 degrees
I hope this helps!
~kaikers
Answer:
your answer is as follows
Step-by-step explanation:
5x+20=3x+60
2x=40
x=20
(equating the slopes)
