Answer:
The farthest distance would be 32.5 miles
Step-by-step explanation:
Given,
Speed = 65 miles per hour,
If t represents the time ( in hours ) taken in travelling,
Since, time has to commute down less than 30 minutes,
Also, 1 hour = 60 minutes,


Thus,

i.e. the highest time taken = 1/2 hours,
We know that,
Distance = speed × time,
∵ Distance ∝ time,
⇒ Distance will farthest for largest time taken,
Hence, the farthest distance =
= 32.5 km.
The equation would be
letter b. 25h + 20 (15 - h) = 350
Let’s try to solve to get the value of h
=> 25h + 20(15 -h) = 350
=> 25h + (300 – 20h) = 350
=> 25h + 300 – 20h = 350
=> 300 + 5h = 350
=> 5h = 350 – 300
=> 5h / 5 = 50/ 5
=> h = 10
Thus the value of h is 10 which means a car travel on the highways and
used 10 gallons of gasoline,
Answer:
C) The solution for the given system of equations are A(0,-5) and B(-4,3)
Step-by-step explanation:
The given system of equation are : 
from equation 2, we get y = -5 - 2x .
Put the above value of y in the equation (1).
We get: 
By ALGEBRAIC IDENTITY:

or, 
or, 
⇒ x = 0 or, x = -20/5 = -4
So, the possible values for x are: x = 0 or x = -4
If x = 0, y = -5-2x = -5-2(0) = -5
and if x = -4, y = -5 -2(-4) = -5 + 8 = 3
Hence, the solution for the given system of equations are A(0,-5) and B(-4,3)