The table below shows the numbers of tickets sold at a movie theater on friday.
number of tickets sold
day
adult tickets
children's
tickets
1,678
976
friday
saturday
the number of each type of ticket sold on saturday is described below.
• adult tickets—2 times as many as the number of adult tickets sold
on friday
• children's tickets-3 times as many as the number of children's
tickets sold on friday
complete the table above to show the numbers of tickets sold on saturday.
what is the total number of tickets sold over these two days?

x=half

step-by-step explanation:

multiple all that

step-by-step explanation:

27×17

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)