Atruck can be rented from company a for $80 a day plus $0.30 per mile. company b charges $20 a day plus $0.50 per mile to rent the same truck. find the number of miles in a day at which the rental costs for company a and company b are the same

Write equations for both companies:

Company A = 80 + 0.30x

Company B = 20 + 0.50x

X = number of miles.

Set the equations to equal and solve for x:

80 + 0.30x = 20 + 0.50x

Subtract 0.30x from both sides:

80 = 20 + 0.20x

Subtract 20 from both sides:

60 = 0.20x

Divide both sides by 0.20:

x = 60 / 0.20

x = 300

The answer is 300 miles.

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: