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) Od
(a+b)2 =a2+2ab+b2
Remember, all angles in a triangle always add up to 180 degrees.
We are given two out of three angles. We are given the measure of one angle (50 degrees) and the measure of another angle (Right angles always equal 90 degrees)
So, we have an equation:
x+90+50=180
x=180-90-50
x=90-50
x=40
Let the time taken by 2nd computer be = x
Time taken by first computer = 60 seconds
Total time taken by both = 40 seconds
So, equation becomes:
Solving this we get,
x=120 seconds
Hence, the 2nd computer will take 120 seconds to finish a search alone.
