You need to buy fertilizer for a circular flower bed with a diameter
of 13 feet. if one bag will fertilize 10 square feet, how many bags
do you need to buy?

14 bags of fertilizer are needed

Solution:

Given that You need to buy fertilizer for a circular flower bed with a diameter

of 13 feet

Diameter = 13 feet

Therefore radius of circular flower bed is 6.5 feet

Area of circle is given as:

Substitute r = 6.5

Given that one bag will fertilize 10 square feet

1 bag = 10 square feet

Then number of bags needed are:

Thus approximately 14 bags of fertilizer are needed

51840000 cm 2

step-by-step explanation:

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)