Create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.A. x + 10 = 6; x = -4

B. x = 6 + 10; x = 16

C. x + 6 = 16; x = 10

D. x + 6 = 10; x = 4

Answer:

D.   x + 6 = 10; x = 4

Step-by-step explanation:

to balance the beam, the weight on the left side must be equal to the right side.

x + 6 = 10    let x = box

x = 10 - 6

x = 4

therefore, the answer is D. x + 6 = 10; x = 4

x + 6 = 10; x = 4 is the linear equation and the solution that represents the model, where circles and a square are shown evenly balanced on a balance beam.

1. **Modeling the Balance**: In this problem, you are given a scenario where circles and a square are evenly balanced on a balance beam. To represent this balance mathematically, you need to ensure that the total weight (or the "value" of the shapes) on the left side of the balance is equal to the total weight on the right side.

2. **UnknownWeight**: You are asked to find the value of the square, represented by 'x.' This 'x' represents the weight or value of the square on one side of the balance.

3. **Equation Setup**: To set up the equation, you note that on the left side of the balance, you have 'x' (the square) plus 6 (the circles). On the right side, you have 10 (implying there's something with a weight or value of 10 units).

So, you set up the equation as:

x + 6 = 10

This equation says that the weight of the square plus the weight of the circles on one side equals the weight of whatever is on the other side.

4. **Solving for x**: To find the value of 'x' (the weight of the square), you isolate 'x' on one side of the equation. To do that, you subtract 6 from both sides of the equation:

x + 6 - 6 = 10 - 6

This simplifies to:

x = 4

So, 'x' represents a square with a weight or value of 4 units. This means that the square's weight on one side of the balance is balanced by 6 units of weight from the circles on the other side, resulting in a total of 10 units on both sides, ensuring the balance.

To know more about linear equation :

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