Cassie is making greeting cards, which she will sell by the box at an arts fair. She paid $32 for a booth at the fair, and the materials for each box of cards cost $7. She will sell the cards
for $9 per box of cards. At some point, she will sell enough cards so that her sales cover her
expenditures. How many cards will that take? How much will the sales and expenditures be?
boxes of cards of cards, she will break even, with sales and
If Cassie sells
expenditures of

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation:

the weight of the object inside the box!

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