We can build a system of two linear equations with two unknowns with the info provided in the problem, one with Kelsey info and one with Mitch info like so:
Lets call p the amount on peak minutes and n the amount of non-peak minutes:
45p + 50n = 27.75
70p + 30n = 36
lets reduce the equations dividing the first by 5:
9p + 10n = 5.55
<span>70p + 30n = 36
</span>now, to eliminate n, lets multiply the first equation by -3 and add the two equations:
-27p - 30n = -16.65
<span>70p + 30n = 36
</span>----------------------------
43p + 0 = 19.35
p = 19.35<span>/43
p = 0.45
therefore the peak rate is $0.45 per minute
lets substitute in one of the original equations this result:
</span><span>45p + 50n = 27.75
</span>45(0.45) + 50n = 27.75
20.25 <span>+ 50n = 27.75
50n = 27.75 - 20.25
50n = 7.5
n = 7.5/50
n = 0.15
therefore the non-peak rate per minute is $0.15</span>
Answer:
The slope of (-4,3) (-8,5) is perpendicular to this line.
Isolate the p. Note the equal sign. What you do to one side, you do to the other. Multiply 7/6 to both sides
(-2)(7/6) = (6/7)(7/6)p
p = (-2)(7/6)
Multiply -2 and 7, then divide by 6
p = (-2 x 7)/6
p = -14/6
Divide
p = ~-2.33 (rounded)
-2.33 is your answer
hope this helps
Answer:
60 km/h
Step-by-step explanation:
At the reduced speed, the trip takes 28 +14 = 42 minutes to drive 42 km. That's 1 km per minute, or 60 km in 60 minutes.
The reduced speed is 60 km/h.
Answer:
(-1.5,0.5)
Step-by-step explanation:
In the attached file
