Lilly takes a train each day to work that averages 35 miles per hour. on her way home, her train ride follows the same path and averages 45 miles per hour. if the total trip takes 2.5 hours, which equation can be used to find n, the number of miles lilly’s home is from her work? distance (mi) rate (mi/hr) time (hr) trip to work n 35 mph trip home n 45 mph

45 = n / ( 2.5 - n/35).

Step-by-step explanation:

Going to work:

35 = n/t

Coming home:

45 = n/t2

t + t2 = 2.5

t2 = 2.5 - t

Plug this into the second equation:

45 = n /  (2.5 - t)

Now  t = n/35 so

45 = n / ( 2.5 - n/35).

We can find the distance n from this equation.

b. -7,185,024p6q5

step-by-step explanation:

find the 6th term of the expansion of (2p - 3q)11. a. -7,185,024p4q7 c. -7,185p4q7 b. -7,185,024p6q5 d. -7,185p6q5 select the best answer from the choices provided a b c d

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.