8 b. A boat can travel 42 miles on 7
gallons of gasoline. How far can it
travel on 2 gallons?

12 miles

Step-by-step explanation:

42÷7=6

6×2=12

Good luck!

12 miles on 2 gallons of gasoline

Step-by-step explanation:

First, we need to find the unit rate and that can simply be found by dividing.

So we divide 42 miles by 7 gallons which equal 6.

So we know for every One gallon there is 6 miles. So we simply multiply 6 and 2 and we get an answer of 12 miles.

So therefore the answer is a boat can travel 12 miles on 2 gallons of gasoline.

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: