If A= 5/6 ,B= 2/3,C = 9/6 then find the value of B(A+C)+C(A+B) b) a cyclist covers a distance of 15km in 2hours calculate his speed​

Step-by-step explanation:

         A = 5/6 ,      B = 2/3,         C = 9/6

B (A + C) + C (A + B)           I expanded the terms

AB + BC + AC +BC            collect the two BC terms

AB + 2BC + AC

      A = 5/6 ,      B = 2/3,         C = 9/6

AB + 2BC + AC     substiutite the values in for the variables into the eq

(5/6)(2/3) + 2(2/3)(9/6) + (5/6)(9/6)

  (10/18)  +  2 (18/18)  +  45/36

  (10/18)  +  2 (1)  +  45/36

  20/36  + 72/36 + 45/36                   2 = 72/36

    (20  + 72 + 45) / 36

         137/36                    This answer seems odd but I think it is correct

         or  3 29/36

b)  divide  15 km by 2 hours    to get the speed in   km/hr

answer: 34rtyj,jkhtyetwrhyjeuiejnbhdfknbkguxfrbhkfdbjvkmbd,kvbsd.kxjvbhjnfbgjxdfn

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 ☺