Answer:

Step-by-step explanation:
According to the problem, the hot-air ballon and the wind are movind in the same direction, which means the component form of the velocity of the ballon is the net vector between both velocities.
Basically, the net velocity is

Because both velocities have the same direction.
Assuming they are moving in a horizontal direction, the component of this velocity is

Answer:
Here we can use the relationship:
Distance = time*speed.
When Jose walks, his speed is 4 mph.
Then if he walks for X hours, the distance that he will travel is:
D = 4mph*X
When Jose runs, his speed is 8mph.
Then if he runs for T hours, the distance that he will travel is:
D´ = 8mph*Y
And we know that he travels in total 20 miles, then we must have that:
D + D´= 20mi
This leads to:
4mph*X + 8mph*Y = 20mi
Where X is the time that he walked, and Y is the time that he runed.
Then the equation that represents the different amounts of times that Jose runs and walks is:
4mph*X + 8mph*Y = 20mi
Where we can not really find the solutions for Y and X, because there is only one equation and two variables.
Answer:
25
Step-by-step explanation:
(-5)^2=(-5)*(-5)=25
Answer:
5/6
Step-by-step explanation:
divided by 4/5 can be written as 2/3 times 5/4
2/3 *5/4=10/12=5/6