The difference between two numbers is 16. Three times the larger number is seven times the smaller. What are the numbers?

12 and 28

Step-by-step explanation:

Represent the numbers using x and y.  Then y - x = 16.  (y is the larger one.)

Then 3y = 7x, and y = (7/3)x.

Substituting (7/3)x for y in y - x = 16, we get:

(7/3)x - x = 16.

Eliminate the fraction by multiplying all three terms by 3:

7x - 3x = 48, or 4x = 48, yielding x = 12.  Then y = (7/3)(12) = 28.

i am sure it will be 90 degrees.

step-by-step explanation:

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: