If the ratio of m to n is 7 to 6, which of the following could be true?
o a. m = 8, n = 7
o b. m = 12,n= 14
o c. m=14, n=0
od. m = 42, n = 42
o e. m = 7/3, n = 2

E

Step-by-step explanation:

Consider each of the given values for m and n

A

m : n = 8 : 7 ≠ 7 : 6

B

m : n = 12 : 14 = 6 : 7 ≠ 7 : 6

C

m : n = 14 : 0 ≠ 7 : 6

D

m : n = 42 : 42 = 1 : 1 ≠ 7 : 6

E

m : n = : 2 = : = 7 : 6

Thus E is the only true ratio

stethere all not eveanp-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 ☺