Aphone company charges customers a monthly charge using the equation c = 40 + 0.3m, where is the monthly
charge, in dollars, and m is the number of minutes used by the customer. if someone's monthly charge is $46, how
many minutes did the person use that month?
a. 5
b. 8
c. 10
d. 15
e. 20

Option E

The person used the phone for 20 minutes that month

Solution:

Given that phone company charges customers a monthly charge using the equation:

C = 40 + 0.3m

Where,

"C" is the monthly charge in dollars

"m" is the number of minutes used by the customer

Someone's monthly charge is $46

To find: number of minutes used by that person

Therefore, given C = 46

Substitute C = 46 in given equation

46 = 40 + 0.3m

40 + 0.3m = 46

0.3m = 46 - 40

0.3m = 6

Thus the person used the phone for 20 minutes that month

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:

which expression represents the approximate length of bc?

step-by-step explanation: