Felicia left home at 8 a. m. and drove her ferrari at 80 mph from rome to sorrento. she then took the boat to capri for the day, returning to sorrento 5 hours later. on the return trip from sorrento to rome she averaged 60 mph and arrived in rome at 8 p. m. how far is it from rome to sorrento?

240 mi

Step-by-step explanation:

Felicia spent her 12 hours from home by driving 7 hours and spending 5 hours on Capri. Her speeds were in the ratio 80:60, so her times were in the inverse ratio — 60:80 = 3:4. Since her total time was 7 hours = 3+4 ratio units, each ratio unit must represent 1 hour.

Felicia spent 3 hours driving 80 mph from Rome to Sorrento, and 4 hours driving 60 mph home. The trip each way was ...

... (3 h)×(80 mi/h) = 240 mi = (4 h)×(60 mi/h)

It is 240 miles from Rome to Sorrento.

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w