Yesterday at 1: 00 p. m., maria’s train was 42 miles north of gull’s beach, traveling north at an average speed of 90 mph. at the same time on the adjacent track, elena’s train was 6 miles north of gull’s beach, traveling north at an average speed of 101 mph. to the nearest hundredth of an hour, after how much time will the trains meet up?

After 3.27 hours trains will meet up.

Step-by-step explanation:

When two trains are moving on parallel tracks in the same direction then their relative speed will be = Difference of their speeds

And when two trains travel on parallel tracks in the opposite directions then their relative speed is calculated as = Sum of their speeds.

Here the trains are moving in the same directions then their

Relative speed = 101 - 90 = 11 miles per hour

Distance between them = 42 - 6 = 36 miles

So the time to cover up this distance by the trains will be

Speed = distance/ time Or time = distance/speed

time = 36/11 = 3.27 hours

Therefore answer is 3.27 hours

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

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 ☺