Drake made 14 out of 20 free throw shots. About how many out of the next 30 free
throw shots would you expect him to make?

Work Shown:

14/20 = 70/100 after multiply top and bottom by 5

70/100 = 70%

Drake makes 70% of his free throws

If he attempts 30 of them, then he should make about 0.70*30 = 21

Alternative Method:

(amount made)/(amount attempted) = (amount made)/(amount attempted)

14/20 = x/30

14*30 = 20*x ... cross multiply

420 = 20x

20x = 420

x = 420/20

x = 21

This is another way to see that we expect Drake to make about 21 free throws.

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: