Abaker used 12 cups of batter to make muffins. it took 2/3 cup of batter to make 1 muffin. how many muffins did the baker make? (a) 6 muffins (b) 8 muffins (c) 18 muffins (d) 36 muffins

The answer is 8 muffins.

Let the number of muffins that the baker made be represented by x.

Since the baker used 12 cups of batter to make muffins and it took 2/3 cup of batter to make 1 muffin, this will then be:

x = 2/3 × 12 cups of batter.

x = 8

Therefore, the baker made 8 muffins.

The answer is 8 muffins.

  (C) 18 muffins

Step-by-step explanation:

(12 cups)/(2/3 cups/muffin) = 12·3/2 muffins = 18 muffins

You can consider this as a unit conversion problem. You have units of cups, and you want units of muffins. Then you need to multiply by a number that has units of muffins/cup.

You have a number that has units of cups/muffin (the inverse of the desired conversion factor), so you can do the required conversion by dividing by that number.

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:

how am i supposed to answer

step-by-step explanation: