Answer:
Eudora spent 0.5 hours in running and 1.5 hours flying using her jet-pack.
Step-by-step explanation:
Let x represent time spent in running.
We have been given that the entire trip took 2 hours, so time spent in flying the jet-packs would be
.
We know that distance is equal to speed times time.

Eudora ran from her home to a secret laboratory at an average speed of 12 km, so distance traveled by running would be
.
Eudora took one of her jet-packs and flew to her school at an average speed of 76 km, so distance covered by jet-packs would be
.
We are told that Eudora traveled a total distance of 120 km. We can represent this information in an equation as:


Combine like terms:



Divide both sides by
:


Therefore, Eudora spent 0.5 hours in running.
Upon substituting
in expression for time spent in flying jet-packs, we will get:

Therefore, Eudora spent 1.5 hours flying using her jet-pack.
Infinite series can either be convergent or divergent. It is convergent if the series has a limit and would approach a certain real number. It is divergent if it has no limits.
The given above is a series that is comprised of whole numbers and can go as large as the positive infinity. Because of this, the answer to this item is Divergent.
1/4 and 1/5 and 3/20 and 3/5 respectively
Answer:
214°
Step-by-step explanation:
Full circle measure = 360°
Measure of arc AB = 146° (central angle has the same measure as measure of intercepted arc)
Therefore:
Measure of arc ACB = 360° - arc AB
Measure of arc ACB = 360° - 146°
= 214°