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:
the numerator is 12
Step-by-step explanation:
since 48 is a percent, it would be put as 48/100 as a fraction. since both the numerator and denominator are divisible by 4, you can reduce the fraction into 12/25. Since the question is asking what the numerator was when the denominator was 25, the answer is 12.
Answer:
66%
Step-by-step explanation:
- First, add 20 + 10 = 30. This will give you the total amount of games.
- Now, make this into a fraction for won games. This should be 20/30.
- Next, take 20/30 and simplify it. You should get 2/3 as a fraction.
- Now, take 2 and divide by 3. (2/3) You should get .66 repeating. This is equal to 66%.
- Therefore 66% is the answer.
- Hope this helps! If you need a further explanation please let me know.
Total outcomes of two rolled dice = 6 x 6 = 36
Possibilities for sum of 6 are 3 + 3, 4 + 2, 2 + 4, 5
+ 1, 1 + 5. So total possibilities for sum of 6 are five.
<span>Hence the probability for the sum of 6 = 5/36</span>