The total length of two ships is 1841 feet. The difference in their lengths is 13 feet. Find the length of each ship.

9514 1404 393

  927 ft

  914 ft

Step-by-step explanation:

The lengths are half the sum plus or minus half the difference:

  1841/2 ± 13/2 = {1854/2, 1828/2} = {927, 914} . . . feet

__

Let x represent the shorter length. Then x+13 is the longer length. Their total is ..

  x +(x +13) = 1841

  2x = 1841 -13

  x = (1841 -13)/2 . . . . half the sum minus half the difference

Then the longer length is ...

  x+13 = (1841/2) -(13/2) +13

  x +13 = (1841/2) +(13/2) . . . . half the sum plus half the difference

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 ☺

bfgbh bhf gfdzf bhgfrdfgbn cvdgsytrghvn ncvhgfdtrseawa hgdrsxcvbgfrewq

step-by-step explanation: