Which sentence has modifiers in the right place to make its meaning clear? A. 

Every year, we bought a homemade apple pie at a little store that cost only $5 on the road to the cabin.

B. 

Every year, we bought a homemade apple pie that cost only $5 at a little store on the road to the cabin.

C. 

Every year, we bought a homemade apple pie at a little store on the road to the cabin that cost only $5.

The correct answer is B. Every year, we bought a homemade apple pie that cost only $5 at a little store on the road to the cabin.

Explanation:

In the sentences presented the section "that cost only $5" is a modifier because this describes the noun "homemade apple pie". Moreover, this modifier should be placed right after the noun it describes to clarify the "$5" refer to the cost of the pie.

This occurs in option B "a homemade apple pie that cost only $5" because this places the modifier after the noun, and this makes the sentence to be clear. On the other hand, in other options the meaning is confusing. For example in A "a homemade apple pie at a little store that cost only $5," it is not clear if the cost refers to the apple or the store.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

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)