Your cell phone company charges $1.45 a minute plus a $45 monthly charge, how many minutes can you talk if your budget is $100?

38minutes approx

Step-by-step explanation:

Given data

Charges per minute=  $1.45

Monthly charge= $45

Let the number of minutes be x

and let the total charges for the month be y

The function for the total charge is

y= 1.45x+45

for y= 100, we want to find x

100= 1.45x+45

100-45= 1.45x

55= 1.45x

Divide both sides by 1.45 to get x

x= 55/1.45

x= 37.93

Hence the number of minutes is 38minutes approx

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)