X= 13
y=16
Work:
x+y=29
x=29-y
x+2y=45
29-y+2y=45
y=45-29
y=16
x=29-16
x=13
Answer:
Wyzant
Question
Flying against the wind, an airplane travels 4200 km in 7 hours. Flying with the wind, the same plane travels 4000 km in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answer · 1 vote
Let Va = the velocity of the airplane Let Vw = the velocity of the wind When flying with the wind: (Va+Vw)*(4 hours) = 4000 4Va + 4Vw = 4000 4Vw = 4000 - 4Va Vw = 1000 - Va When flying against the wind: (Va-Vw)*(7 hours) = 4200 km7Va - 7Vw = 4200 Substitute 1000-Va for Vw and solve for Va: 7Va - 7(1000-Va) = 4200 7Va -7000 + 7Va = 4200 14Va = 11200 Va = 800 km/hr Rate of wind: Vw = 1000 - Va = 1000 - 800 = 200 km/hour
More
Socratic
Question
Flying against the wind, an airplane travels 4500 in 5 hours. Flying with the wind, the same plane travels 4640 in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answer · 0 votes
The speed of plane in still air is 1030 km/hr and wind
Step-by-step explanation:
y = 3/2x + b
Plug in the point (2,2) and solve for b.
2 = (3/2)(2) + b
2 = 3 + b
b = -1
Final equation is y = 3/2x - 1.
In order to find the answer to this question, you need to multiply the fractions. But before we do that, we need to turn the mixed fraction into a proper fraction. 1 3/4 would turn into 7/4 because you multiply the denominator by the whole number and add the numerator. So we come out with:
7/4 x 3/1 = 21/4
Can we simplify 21/4? No, we can't. However, we need to turn it back into a mixed fraction. We can do that by actually dividing the numbers. 21 divided by 4 is 5 with a remainder of 1, so we come out with our answer.
The mom is 5 1/4 feet tall :) Hope this helps!