F = 15%
v = 5%
0.15f + 0.05v = 0.14*10
15f + 5v = 140
3f + v = 28
f + v = 10 (total volume)
---------- Subtract
2f = 18
f = 9 liters of 15%
v = 1 liter of 5%
Divide number of pounds eaten by the portion of the bag eaten.
= 4 1/2 pounds ÷ 3/4
= 4.5 ÷ 0.75
= 6 pound bag
CHECK:
multiply total pounds of bag by portion eaten
= 6 pound bag * 3/4
= 4 1/2 pounds eaten
ANSWER: The bag was 6 pounds of dog food.
Hope this helps! :)
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:
when they
Step-by-step explanation:
equal the same value when you break them up
