Answer:
34 degrees
Step-by-step explanation:
Set up a ratio of known to unknown:
Let X = the amount of gas needed for 500 miles:
220/12 = 500/x
Cross multiply:
220x = 6000
Divide both sides by 220:
X = 6000 / 220
x = 27.27 gallons (round answer as needed).
For this case, the first thing we must do is define variables:
p: plane speed
w: wind speed
With the wind in favor, the speed is:

With the wind against the speed is:

Rewriting both equations, we have the following system of equations:

Then, solving the system of equations (graphically for example), we have the solution is:

Therefore, jet stream's speed:
Answer:
A) p + w = 960; p - w = 600; jet stream's speed = 180 km / h
Each time they assume the sum<span> is </span>rational<span>; however, upon rearranging the terms of their equation, they get a contradiction (that an </span>irrational number<span> is equal to a </span>rational number<span>). Since the assumption that the </span>sum of a rational<span> and </span>irrational number<span> is </span>rational<span>leads to a contradiction, the </span>sum<span> must be </span>irrational<span>.</span>