Answer:
Proof for 
Step-by-step explanation:
We are given that a, n, b, r and k are integers.
Also,

Since k divides a and b, we can write,
a = rk and b = sk, where r and s are integers.
Now, we have to prove that k divides r as well that is 
Putting value of a and b in the equation, we get:

Since, (r-sn) is an integer, k divides r.
Given:
The local rate for electrical service is 6 cents per kilowatt-hour.
We need to know how much money would be saved in a year by using a dishwasher 4times per week rather than 6 times per week
From the table:
The cost of using a dishwasher 4 times per week = $29
The cost of using a dishwasher 6 times per week = $44
So, the saving will be = 44 - 29 = 15
So, the answer will be $15
The answer is b because the pattern of these terms r that odd numbers r positive and even numbers are negative. 50 is even so it is negative, while 51 is odd so it is positive. Remember that negative numbers are below zero. If u add something to a negative number it is like subtracting positive numbers. -51+50 is -1. Because if 51 was positive it would be 51 minus 50. The answer is b. If u dont understand or if it is wrong tell me. :D
Answer: 10
Why?
3*9+2y=47
3*9= 27
27+2y=47
47-27= 20
2y=20
20/2=10
Y=10
Hope this helps :D
The difference between the smoker and the non-smoker is $151
1000 x $7.85 = $785
1000 x $9.36 = $936
= $151