Flying against the wind, an airplane travels 3800 kilometers in 4 hours. Flying with the wind, the same plane travels 3750 kilometers in 3 hours. What is the rate of the plane in still air and what is the rate of the wind?

---- velocity of wind

--- velocity of airplane

Step-by-step explanation:

Given

velocity of airplane

velocity of wind

Flying with the wind, the distance (d) is:

Where d and t are distance travel and time spent with the wind

So:

Divide by 3

Flying against the wind, the distance (d) is:

Where d and t are distance travel and time against with the wind

So:

Divide by 4

Make the subject

Substitute: in

Collect like terms

Divide by 2

Substitute in

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204