Use the equation below to find c, if a=43 and b= 53. C= = 180-a-5
1 answer:
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Answer:
5 hours
Step-by-step explanation:
given :
Distance between the cities = 540 miles
Speed of motorcycle =48 mph
TO CALCULATE THE TIME TAKEN BY MOTORCYCLE TO COVER THE TOTAL DISTANCE WE USE THE FORMULA :
By putting given values in the formula we get :
= 11.25 hours
Now, We are given that for a car to cover the same distance it takes 2.25 hours less than the time taken by motorcycle
⇒ 11.25 hours - 2.25 hours
⇒ 9 hours
Thus , Time taken by car to cover the same distance is 9 hours .
Now to calculate speed of car by using formula:
= 60 mph
Let t be the time taken to meet if they start moving towards each other.
So distance covered by motorcycle in t hours is
speed\times time
= 48t miles
Distance covered by car in t hours is
speed\times time
= 60t miles
⇒ 60t + 48t =540
⇒ 108t = 540
⇒ t= 5 hours
Therefore, time taken to meet if they start moving towards each other is 5 hours.
Answer:
(5,-5)
Step-by-step explanation:
<u>Eliminate</u><u> </u><u>y-term</u>
We can eliminate x-term but for this system of equations, eliminating y-term is faster.
<u>Substitute</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>5</u><u> </u><u>in</u><u> </u><u>any</u><u> </u><u>given</u><u> </u><u>equations</u><u>.</u>
I will choose to substitute in the first equation.
<u>Answer</u><u> </u><u>Check</u>
Substitute both x-value and y-value in any given equations
The equation is true. (<em>It</em><em> </em><em>is</em><em> </em><em>better</em><em> </em><em>to</em><em> </em><em>check</em><em> </em><em>both</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>for</em><em> </em><em>both</em><em> </em>equation.)
Thus the answer is (5,-5)