Miriam left chicago at 9: 00 am and headed to washington. the first 2 hour miriam averaged 70 mph. but after she decided to reach washington at 6: 00 pm, she increased her speed. what was her speed after increasing, if the distance between the cities is 700 miles.

80 mph

Step-by-step explanation:

step 1

Find the distance traveled by Miriam the first two hours

Remember that the distance is equal to the speed multiplied by the time

we have

so

9:00 AM +2 h=11:00 AM

At 11:00 am Miriam has travel 140 miles

step 2

Find out the speed

Remember that the speed is equal to divide the distance by the time

The time is equal to

6:00 PM-11:00 AM=7 h

the distance is equal to

700-140=560 miles

therefore

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.