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?
For Sierra and Charlie, the combined earnings in dollars for this week can be represented by the expression:
12S + (12C + 40)
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
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
To represent the combined earnings for this week, we need to calculate the earnings of each person separately and then add them together.
The earnings of Sierra (S) can be represented as: 12S. (Sierra's hourly rate multiplied by the number of hours worked)
The earnings of Charlie (C) can be represented as: 12C + 40. (Charlie's hourly rate multiplied by the number of hours worked plus the $40 bonus)
To represent their combined earnings, we add the two expressions together:
12S + (12C + 40)
Simplifying, we get:
12S + 12C + 40
To represent the combined earnings for Sierra and Charlie for this week, we can start by finding the earnings for each of them separately.
Sierra earns $12 per hour, so her earnings can be represented by: S * $12.
Charlie also earns $12 per hour, but he received a $40 bonus. So his earnings will be: C * $12 + $40.
To find their combined earnings, we simply need to add their individual earnings together. Therefore, the expression to represent their combined earnings would be: (S * $12) + (C * $12) + $40.