Which of these shows 8 + 3m rewritten using the commutative property of addition? 8m + 3 8 − 3m 3m − 8 3m + 8

Hello!

The commutative property states that you can switch the order of a term since they are added. Therefore 8+3m would be equal to 3m+8.

Therefore, our answer is D) 3m+8

I hope this helps!

1.  4 x 31 is 124

2. 7 x 49 is 658

3. 16 x 48 is 608

4. 8(5 + w) is   8w + 40

5. 11(9 + d) is   11d + 99

6. 15(p + 4 + 2) is   15p + 90

7. Let's simplify step-by-step.

2x−4+3x

=2x+−4+3x

Combine Like Terms:

=2x+−4+3x

=(2x+3x)+(−4)

=5x+−4.

8. Let's simplify step-by-step.

4y−1−3y−2

=4y+−1+−3y+−2

Combine Like Terms:

=4y+−1+−3y+−2

=(4y+−3y)+(−1+−2)

=y+−3.

9. Let's simplify step-by-step.

x+2(x−4)

Distribute:

=x+(2)(x)+(2)(−4)

=x+2x+−8

Combine Like Terms:

=x+2x+−8

=(x+2x)+(−8)

=3x+−8.

10. Part A)

The jazz band sells 31 large boxes of fruit and 74 small boxes of fruit.

For each large fruit box, the price is $20 and cost is $x.

Profit is defined as Price - Cost.

So, profit for one large fruit box = 20 - x

Profit for 31 large fruit boxes = 31(20 - x)

Price of each small fruit box is $10 and cost of each small fruit box is $y. The profit for each small fruit box is 10 - y.

Profit for 74 small fruit boxes = 74(10 - y)

The total profit for 31 large boxes and 74 small boxes will be:

Total profit = 31 (20 - x ) + 74(10 - y)

Using distributive property, we can simplify the above equation as:

Total profit = 31(20) - 31x +74(10) - 74y

Total profit = 1360 - 31x - 74y

Part B)

Cost of each large box is given to be $9. This means x = 9

Cost of each small box is given to be $4. This means y = 4

Using the values of x and y in the profit equation we can find the profit of the Jazz Band.

So, Jazz Band's Profit = 1360 - 31(9) - 74(4)

Jazz Band's Profit = $ 785

Thus the profit of Jazz Band will be $785.

Have A good day ^-^