Esmeralda and Diana both leave the restaurant at the same time, but in opposite directions. If Diana travels 5 mph faster than Esmeralda and after 6 hours they are 186 miles apart, how fast is each traveling? Esmeralda is traveling mph.

Diana is traveling mph.

x = 13

Step-by-step explanation:

x= Esmeralda's speed

x+5 = Diana's speed

they each travel for 6 hours

speed x time = distance  

x(6) + (x+5)(6) = 186    

Esmeralda's distance + Diana's distance = total distance

6x+6x+30= 186

(12x = 186-30)

12x = 156        

x = 13

Esmeralda travels at 13 mph and Diana travels at 18 mph

(To be completely honest, I'm not sure. I'm not in college so you shouldn't use my answer as a first resort :') )

10 * 563.67 = 5636.7

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!