Abus and a car leave from the same city traveling in opposite directions. the bus leaves 2 hours before the car does. the bus travels at a steady speed of 50 mph while the car travels at 70 mph. after how many hours will the bus and car be 800 miles apart? if h represents the number of hours the bus travels, then which of the following expressions represents the number of miles the car travels?

number of hours = h

 the bus left 2 hours before the car so the car traveled h-2 hours

The car travels at 70 mph. 

so the equation for the car is: 70(h-2)

Car and bus will be 800 miles apart after 7.83 hours.

Expression that represents the distance cover by car will be 70(h - 2) miles

Step-by-step explanation:

Bus travels at a constant speed of 50 mph and the car travels with a speed = 70 mph in the opposite directions.

If the bus travels for h hours then the distance traveled by the bus will be

Distance = Speed × Time

              = 50h

Now we know car starts traveling after 2 hours so total time to travel will be (h - 2) hours.

Therefore, Distance = Speed × Time

Distance covered by car = 70(h - 2) miles

Since they are traveling in the opposite directions so total distance covered will be = Distance covered by bus + Distance covered by car

800 = 50h + 70(h - 2)

800 = 50h + 70h - 140

120h = 800 + 140

120h = 940

h =

h = 7.83 miles

Therefore, Car and bus will be 800 miles apart after 7.83 hours.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.