Ski mountain sells lift tickets. ski mountain sale packages number of lift tickets total cost package a 3 $30 package b 5 $60 package c 12 $120 package d 16 $120 which packages have the same ratio of lift tickets to cost? packages a and d. packages a and c. packages b and c. packages c and d.

Packages A and C

Step-by-step explanation:

To find the ratio between the number of lifts to the cost we first remove the $ symbol and find out how much 1 lift will cost per package.

Package A =  3 : 30

Package B = 5 : 60

Package C = 12 : 120

Package D = 16 : 120

Now let's break it down.

Package A = 30/3 = $10 per lift

Package B = 60/5 = $12 per lift

Package C = 120/12 = $10 per lift

Package D = 120/16 = 7.5 per lift

So now we are able to know which packages have the same ratio.

Package A and C cost $10 per lift.

(B)

Step-by-step explanation: Packages A and C.

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: