It took a manticore the same amount of time to fly 10 miles with the wind as 5 miles against the wind. What is the speed of the speed of the wind if the manticore flies 30 mph in still air?

Step-by-step explanation:

The time it takes for the manticore to travel 10 miles with the wind is given by

where is the speed of the manticore and is the speed of the wind.

Likewise, the time it takes for the manticore to travel 5 miles against the wind is

Since we can write

After cross-multiplying,

Collecting similar terms, we get

Solving for we get

£56

step-by-step explanation:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )