Leila is buying a dinosaur model. The price of the model is xxx dollars, and she also has to pay a 7\%7%7, percent tax.

1.07x

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Leila is buying a dinosaur model. The price of the model is x dollars, and she also has to pay a 7%, percent tax.

Which of the following expressions could represent how much Leila pays in total for the model?

My

Given the information:

The original price of the model: x

Taxed Amount = 7% of x

<=> That is, 7% in decimal multiplied with "x"

<=> = 0.07x

=> Total amount Leila needs to pay is:

= The original price + Taxed Amount

= x + 0.07x

= 1.07x

Therefore, the expressions could represent how much Leila pays in total for the model 1.07x

Hope it will find you well.

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)

step-by-step explanation: