Answer:
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Step-by-step explanation:
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The value of k is -89
Explanation:
The given expression is 
We need to determine the output k, when the input t is -7
<u>Output k:</u>
The value of the output k can be determined by substituting the input
in the expression 
Thus, we have,

Multiplying the terms 10 and -7, we have,

Simplifying, we get,

Thus, the value of k is -89
Multiply the numerator and denominator by √2
10√2/2
Simplify
5√2
Let p and m represent the numbers of miles in the plains and mountains, respectively.
.. p + m = 300 . . . . . . . the whole trip was 300 miles
time = distance/speed, so the trip time can be written as
.. p/90 + m/37.5 = 3 48/60
.. 5p + 12m = 1710 . . . . . . . . . . multiply by 450 to put in standard form
You can solve these two equations by any of several means. The variable p can be eliminated by subtracting 5 times the first from the second.
.. (5p +12m) -5(p +m) = 1710 -5*300
.. 7m = 210
.. m = 30
30 miles of the trip was through the mountains.