Mattie Evans drove 250 miles in the same amount of time that it took a turbo propeller plane to travel 1250 miles. The speed of the plane was 200 mph faster than the speed of the car. Find the speed of the plane.

250 mph

Step-by-step explanation:

Speed of car = Distance / Time =

The speed of the plane was 200 mph faster than the speed of the car.

Speed of car = X mph

Speed of plane = 200 + X mph

Evans drove 250 miles in the same amount of time...

Speed = Distance / Time

Time = Distance / Speed

T = 250 / X (i)

same amount of time that it took a turbo propeller plane to travel 1250 miles.

Time = Distance / Speed

T = 1250 / (200 + X) (ii)

Substitute the value of T in eqn (i) to eqn (ii)

250 / X = 1250 / (250 + X)

250 (200 + X) = 1250 X

50000 + 250 X = 1250 X

1250 X - 250 X = 50000

1000X = 50000

X = 50000 / 1000 = 50

Speed of plane = 200 + X mph = 200 + 50 = 250 mph

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !