Prime factorization of
60
100
85
Explain in steps

100-->

Prime factors of 100: 2, 2, 5, 5

100 = 2 × 2 × 5 × 5  = 22 × 52

Factor tree:

100

|\  

50  2

|\  

25  2

|\  

5  5

60-->

Prime factors of 60: 2, 2, 3, 5

60 = 2 × 2 × 3 × 5  = 22 × 3 × 5

Factor tree:

60

|\  

30  2

|\  

15  2

|\  

5  3

85-->

Prime factors of 85: 5, 17

85 = 5 × 17

Factor tree:

85

|\  

17  5

Step-by-step explanation:

a

step-by-step explanation:

strong negative correlation

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 ☺