II. The train and roller coaster will arrive back at their stations at the same time. If the train had a .15 mile head start and is traveling at a speed of .65 miles per minute, and the roller coaster is travelling at an average speed of .78 miles per minute, how long before they both arrive at the station?

1 minutes 9sec

Step-by-step explanation:

given data

Train

let the distance be x

distance covered by train= (15+x)miles

speed of train=65mile per minute

time t=?

we know that speed= distance/time

distance= speed*time

15+x=65t1

Roller coaster

distance=x miles

speed= 78miles per minutes

time t=?

we know that speed= distance/time

distance= speed*time

x=78t2

put x=78t in equation 1 we have

15+78t=65t

78t-65t+15=0

13t=-15

t=15/13

t=1.151miin 9sec

so it will take 1minutes 9sec

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

konichiwa~! my name is zalgo and i am here to answer your anime-related question today. more than likely, kirishima would kill izuku, marry mino and kiss momo. all of this would be my opinion by the way. (and i am also a weeb lol)

i hope this you! : d

stay and stay proud! " - zalgo

(and do you think you can mark me as brainliest? i'd greatly appreciate it! arigato~! )