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A toy store sells accessories to go with the latest action figure. The store projects that it will sell a certain number of accessories for every box of a dozen action figures it orders. Let d represent one box of a dozen action figures. Suppose the company wants an overall sales report.

Part A
Write and simplify an expression to represent the combined number of accessories sold.

Part B
Factor the simplified expression.

Part C
If the toy store sold 5 dozen of the latest action figure, how many accessories did the store sell?

A toy store sells accessories to go with the latest action figure The store projects that it will sell a certain number of accessories for every box of a dozen class=

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MrRoyal

Algebraic expressions are expressions that are represented with numbers and variables

Represent the number of boxes with x, and the combined expression with y

Part A: The simplified expression

The individual expressions are:

  • Turbo JET Pack: 6x + 7
  • X-Ray Vision Glasses: 2x - 5
  • Invisible Shield: 10x + 1

The combined expression becomes:

[tex]y = 6x + 7 + 2x - 5 + 10x + 1[/tex]

Collect like terms

[tex]y = 6x + 2x + 10x+ 7- 5 + 1[/tex]

[tex]y = 18x+ 3[/tex]

Hence, the combined expression is 18x + 3

Part B: Factor the simplified expression

Recall that the simplified expression is:

[tex]y = 18x+ 3[/tex]

Factor out 3

[tex]y = 3(6x+ 1)[/tex]

Hence, the factored expression is 3(6x + 1)

Part C: The number of accessories

In (b), we have:

[tex]y = 3(6x+ 1)[/tex]

Substitute 5 for x

[tex]y = 3(6 \times 5+ 1)[/tex]

Evaluate the product

[tex]y = 3(30+ 1)[/tex]

Evaluate the sum

[tex]y = 3(31)[/tex]

So, we have:

[tex]y = 93[/tex]

Hence, the toy store sold 93 accessories

Read more about algebraic expressions at:

https://brainly.com/question/4344214

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