Rafe and Sebastian both rode in a 5 mile bike race. There were so many riders that they started groups at different times. Rafe started the race at 3:30 PM and finished the race at 4:00 PM. Sebastian started the race at 4:25 PM and finished at 4:53 PM. What was the speed, in miles per hour, of the boy who rode at a faster rate? Round to the nearest tenth if necessary.

10.7 miles/hour

Step-by-step explanation:

So let's first write all the known for the question

total race = 5 mile

Rafe time 3:30~4:00pm

Sebastian time 4:25~4:53 pm

Then let's find out how much time rafe and sebastian took for races in hours and who took less time(who's faster)

Rafe time 30 min = 0.5 hours

Sebastian time 28 min = 0.467 hours

0.467 < 0.5 hours

-Hence Sebastian had faster speed.

Now let's calculate the speed of Sebastian

5 mile/0.467 hours= 10.714

Round to nearest tenth

10.7 miles/hour

coins of silver or gold

step-by-step explanation:

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1