Yochann walked from home to the bus at an average speed of 5 km/h. he immediately got on his bus and traveled an average speed of 60 km/h untill he got to school. the total distance from his home to school is 35 kilometers, and the entire trip took 1.5 hours. how many kilometers did yochann cover by walking and riding the bus?

Step-by-step explanation:

distance by bus --- x km

distance walking -- 35-x km

x/5 + (35-x)/60 = 1.5

times 60

12x + 35-x = 90

11x = 55

x = 5

he walked 5 km, and went 30 km by bus

check:

time walking = 5/5 = 1 hr

time on bus = 30/60 = 1/2 hr

total is 1.5 hrs

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

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

answer:

f(5/2) = 10/3

i hope this you!