Answer:
AB=30
AC=22.5
Step-by-step explanation:
8/15=12/x
x=22.5 (AC)
8/15=16/x
x=30 (AB)
I don’t really see an outlier but if i have to choose one i would do the 678
Divide the numerator and the denominator of the given rate by the denominator of the given rate. so in this case, divide the numerator and denominator of 70/5 by 5 to get 14/1 or 14 students per class
there are 5 1/5 in an hour
so multiply 1/2 by 5
1/2 = 0.5
0.5 *5 = 2.5 miles in 1 hour
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.
