[img]data:image/png;base64,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[/img][br]Write an equation to represent the hanger.
Solve the equation by reasoning about the equation or the hanger. Explain your reasoning.
[size=150]Explain how each part of the equation [math]9=3\left(x+2\right)[/math] is represented in the hanger.[/size][br][img]data:image/png;base64,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[/img][br][list][*][math]x[/math][/*][/list]
[list][*][math]9[/math][/*][/list]
[list][*][math]3[/math] [br][/*][/list]
[list][*][math]x+2[/math][/*][/list] [br][*][/*]
[list][*][math]3\left(x+2\right)[/math][br][/*][/list]
[list][*]the equation sign[/*][/list]
You deposit money in a savings account, and every year the amount of money in the account increases by 2.5%.
For every car sold, a car salesman is paid 6% of the car’s price.
Someone who eats at a restaurant pays an extra 20% of the food price. This extra money is kept by the person who served the food.
An antique furniture store pays $200 for a chair, adds 50% of that amount, and sells the chair for $300.
The normal price of a mattress is $600, but it is on sale for 10% off.
For any item you purchase in Texas, you pay an additional 6.25% of the item's price to the state government.
[size=150]Clare drew this diagram to match the equation [math]2x+16=50[/math], but she got the wrong solution as a result of using this diagram.[/size][br][img]data:image/png;base64,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[/img][br][br]What value for [math]x[/math] can be found using the diagram?
Use the new diagram to find a correct value for [math]x[/math].
Explain the mistake Clare made when she drew her diagram.