Speed of the plane: 250 mph
Speed of the wind: 50 mph
Explanation:
Let p = the speed of the plane
and w = the speed of the wind
It takes the plane 3 hours to go 600 miles when against the headwind and 2 hours to go 600 miles with the headwind. So we set up a system of equations.
600
m
i
3
h
r
=
p
−
w
600
m
i
2
h
r
=
p
+
w
Solving for the left sides we get:
200mph = p - w
300mph = p + w
Now solve for one variable in either equation. I'll solve for x in the first equation:
200mph = p - w
Add w to both sides:
p = 200mph + w
Now we can substitute the x that we found in the first equation into the second equation so we can solve for w:
300mph = (200mph + w) + w
Combine like terms:
300mph = 200mph + 2w
Subtract 200mph on both sides:
100mph = 2w
Divide by 2:
50mph = w
So the speed of the wind is 50mph.
Now plug the value we just found back in to either equation to find the speed of the plane, I'll plug it into the first equation:
200mph = p - 50mph
Add 50mph on both sides:
250mph = p
So the speed of the plane in still air is 250mph.
Answer:
62.8
Step-by-step explanation:
the circumference is equal to the radiusx2xpi
it gives us the diameter but not the radius
to find the radius from the diameter we just divide it by 2 so the radius is 10
then we just do 10x2x3.14 which is 62.8
Answer:
$26,500.
Step-by-step explanation:
It is given that Ed is a car salesman. he makes 1.5% commission on each car he sells.
He made $397.50 on the last car he sold.
We need to find the sales price of the car.
Let x be the selling price of the car.
1.5% of x = $397.50
Divide both sides by 0.015.
Therefore, the sales price of the car is $26,500.
4/2 * 4/5 = (4*4) ^ (2*5) = 1 3/5 = 1.6
