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An item is regularly priced at $45. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?Amountdiscounted:$

Question

An item is regularly priced at $45.

It is on sale for 20% off the regular price.
How much (in dollars) is discounted from the regular price?
Amount discounted: $

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Solution

1. ### Break Down the Problem

To find the discounted amount from the regular price of the item, we need to calculate 20% of $45.

2. ### Relevant Concepts

The formula to calculate the discount is: Discount=Regular Price×(Discount Rate100) \text{Discount} = \text{Regular Price} \times \left(\frac{\text{Discount Rate}}{100}\right) Where:

  • Regular Price = $45
  • Discount Rate = 20%

3. ### Analysis and Detail

Using the formula, we can substitute in the values: Discount=45×(20100) \text{Discount} = 45 \times \left(\frac{20}{100}\right)

Calculating the discount step by step: =45×0.20 = 45 \times 0.20 =9 = 9

4. ### Verify and Summarize

We can verify the calculation as follows. If the regular price is 45andthediscountis45 and the discount is 9, then the sale price would be: Sale Price=Regular PriceDiscount \text{Sale Price} = \text{Regular Price} - \text{Discount} =459 = 45 - 9 =36 = 36 This confirms that the calculations align well for the sale price.

Final Answer

The amount discounted from the regular price is $9.

This problem has been solved

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