On a certain monday, carlos drove to work at an average speed of 50 miles per hour and home from work along exactly the same route at an average speed of 70 miles per hour. which of the following is closest to his average speed for both trips combined? a. 58.3 miles per hourb. 60.0 miles per hourc. 62.6 miles per hourd. 65.4 miles per houre. it cannot be determined from the information given

A. 58.3 miles per hour

Step-by-step explanation:

Average speed can be calculated using the formula where

Let X be the distance home to Carlos' work. Then total distance traveled is 2X since Carlos drove to work and then to home.

The time spend while driving from home to work is :

The time spend while driving from work to home is :

Thus, total time spend is + =

And finally, average speed is = 58.33 miles per hour

need more information

step-by-step explanation:

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺