One pipe can fill a tank in 12 hours and another can fill the tank in 8 hours. how long would it take to fill the tank using both of the pipes

It will take 4 hours and 48 minutes with both pipes.

Step-by-step explanation:

Add their rates of filling

1st pipe's rate = ( 1 tank ) / ( 12 hrs )

2nd pipe's rate = ( 1 tank ) / ( 8 hrs )

Let, t = hrs to fill tank using both pipes

(1 / 12) + (1 / 8) = (1 / t)

Multiply both sides by 24t

2t + 3t = 24

5t = 24

t = 4.8

0.8 x 60 = 48

It will take 4 hours and 48 minutes with both pipes

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

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.