Hoang has been a nurse for 5 years longer than Bill. Three years ago she had been there twice as long? How long has each been there?

Bill: 8 years

Hoang: 13 years

Step-by-step explanation:

Let's say Hoang has been a nurse for H years and Bill has been a nurse for B years.

Hoang has been a nurse for 5 years longer than Bill. This means that B + 5 = H

Next, 3 years ago, she had been there twice as long.

(B-3) and (H-3) represent Bill and Hoang 3 years ago respectively.

(B-3) * 2 = (H-3)

We thus have two equations

B+5 = H

(B-3) * 2 = H-3

Substitute B+5 for H in the second equation

2*B - 6 = B+5-3

2B-6 = B+2

add 6 to both sides to put all the constants on one side

2B = B + 8

subtract B from both sides to isolate the variable

B = 8

H = B+5 = 13

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:

omg what happend to your question? if you could edit this question i can

step-by-step explanation: