To rent a certain meeting room, a college charges a reservation fee of $34 and an additional fee of $9.90 and hour. The math club wants to spend less than $123.10 on renting the meeting room. What are the possible amounts of time that they could rent the meeting room? use t for the number of hours the meeting room is rented

9 hours

Step-by-step explanation:

Firstly,

Minus $123.10 with $34

123.10-34

= 89.10

(bcuz $34 is the reservation fee)

Secondly,

Divide $89.10 with $9.90 to determine the hours

t = 89.10/9.90

= 9

Last answer = 9 hours

where is the triangle?

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: