Question

Sierra and Charlie are paid $12 per hour. However, this week Charlie received a $40 bonus. Given that S and C represent the number of hours worked by Sierra (S) and Charlie (C), which expression can be used to represent their combined earnings for this week?

Answer 1

Which number sentence shows how the distributive property can be used to represent the area of the entire rectangle (both rectangles together)? 5,3 and 7

Answer 2

For Sierra and Charlie, the combined earnings in dollars for this week can be represented by the expression:
12S + (12C + 40)

Answer 3

To represent the area of the entire rectangle, you would need the dimensions of both rectangles. Since you have provided 5, 3, and 7, I will assume that these are the lengths and widths of the two rectangles.

To find the total area, you can use the distributive property. Considering the first rectangle with length 5 and width 3, and the second rectangle with length 7 and width 3, you can distribute the width over the lengths and add the products together:

Total area = (5 + 7) × 3 = 12 × 3 = 36

Therefore, the number sentence that shows how the distributive property can be used to represent the area of the entire rectangle is:
(5 + 7) × 3 = 36