To determine the discounted price on [tex]$85 worth of merchandise with a 45% off sale, we need to follow these steps:
1. Calculate the discount amount:
- First, convert the percentage to a decimal to facilitate the calculation.
- 45% can be expressed as the decimal 0.45.
2. Find the monetary value of the discount:
- Multiply the original price ($[/tex]85) by the decimal equivalent of the percentage discount (0.45).
- [tex]\( 85 \times 0.45 = 38.25 \)[/tex]
- So, the merchandise discount is [tex]$38.25.
3. Determine the discounted price:
- Subtract the discount amount from the original price.
- \( 85 - 38.25 = 46.75 \)
So, the discounted price for the merchandise originally priced at $[/tex]85, with a 45% discount, is $46.75.
Thus, the correct answer is:
[tex]\(\boxed{46.75}\)[/tex]
