You like to watch movies at the local cinema. You have two payment options. Option a is to buy a discount card which will cost you $160, and then $20 per movie. Option b is to pay $40 per movie. After how many movies will the total costs of the two options be the same? Write a system of equations in order to solve the problem. ANSWER
equation- 40m = 160 +20m
answer- m=8

i hope this helps!!

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:

i just took the test, the correct answer is .. 31.5 in.

found it xd it ok yt

answer for #1 is c

answer for #2 is d

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