The whole numbers a and b are divisible by c. Is a+b divisible by c? Is b−a divisible by c? Explain your reasoning.

is divisible by since and are also whole numbers.

is divisible by since and are also whole numbers.

Step-by-step explanation:

Let , whole number that are divisible by . Then, we have that and , which are also whole numbers. We proceed to prove that is divisible by :

1) , , , , , , Given

2) Compatibility with addition

3) Definition of division

4) Commutative and distributive properties

5) Commutative properties

6) Definition of division/Result

Therefore, is divisible by since and are also whole numbers.

We proceed to prove that is divisible by :

1) , , , , , , Given

2) Compatibility with multiplication

3) Compatibility with addition

4) Definition of division

5) Associative and commutative properties

6) Commutative and distributive properties.

7) Commutative properties.

8) Definition of division

9) /Definition of subtraction

Therefore, is divisible by since and are also whole numbers.

yes. we do proportions in probabilities.

step-by-step explanation:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total