Theresa has two brothers , paul and steve, who are both the same height. paul says he is 16 inches shorter then 1 1/2 times theresas height. steve says he is 6 inches shorter then 1 1/3 times theresas height. if they are both right how tall is theresa? write an expression to represent pauls height in inches

7ft

Step-by-step explanation:

p=paul's height

s=steve's height

t=theresa's height

p=s

1 and 1/2=3/2

1 and 1/3=4/3

p=-16+(3/2)t

s=-6+(4/3)t

p=s so

-16+(3/2)t=-6+(4/3)t

add 6 to both sides

-10+(3/2)t=(4/3)t

times both sides by 6 to clear fractions

-60+9t=8t

minus 9t both sides

-60=-t

times -1

60=t

t=60

theresa is 60 inches or 5ft

steve and paul are 84 inches or 7ft (wow!)

a

step-by-step explanation:

jjddbdhid r

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.