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Sagot :
Let's break down the problem step-by-step to find the appropriate equation.
1. Determine the given information:
- Each bracelet costs [tex]$6. - There is a one-time shipping fee of $[/tex]7.
- The total amount paid is [tex]$55. 2. Identify the variable: - Let \( x \) be the number of bracelets that Ashley orders. 3. Set up the equation: - The total cost is composed of the cost of the bracelets plus the shipping fee. - The cost for \( x \) bracelets is \( 6x \) (since each bracelet costs $[/tex]6 and there are [tex]\( x \)[/tex] bracelets).
- Adding in the shipping fee, the total cost equation becomes:
[tex]\[ \text{Total cost} = (\text{Cost of each bracelet} \times \text{Number of bracelets}) + \text{Shipping fee} \][/tex]
4. Form the equation:
- When substituted with the given values, the equation is:
[tex]\[ 55 = 6x + 7 \][/tex]
5. Rearrange to match given options:
- Rearrange the equation to isolate all terms on one side:
[tex]\[ 7 + 6x = 55 \][/tex]
So, the equation that correctly represents the situation is:
[tex]\[ \boxed{7 + 6x = 55} \][/tex]
Therefore, the correct answer is D.
1. Determine the given information:
- Each bracelet costs [tex]$6. - There is a one-time shipping fee of $[/tex]7.
- The total amount paid is [tex]$55. 2. Identify the variable: - Let \( x \) be the number of bracelets that Ashley orders. 3. Set up the equation: - The total cost is composed of the cost of the bracelets plus the shipping fee. - The cost for \( x \) bracelets is \( 6x \) (since each bracelet costs $[/tex]6 and there are [tex]\( x \)[/tex] bracelets).
- Adding in the shipping fee, the total cost equation becomes:
[tex]\[ \text{Total cost} = (\text{Cost of each bracelet} \times \text{Number of bracelets}) + \text{Shipping fee} \][/tex]
4. Form the equation:
- When substituted with the given values, the equation is:
[tex]\[ 55 = 6x + 7 \][/tex]
5. Rearrange to match given options:
- Rearrange the equation to isolate all terms on one side:
[tex]\[ 7 + 6x = 55 \][/tex]
So, the equation that correctly represents the situation is:
[tex]\[ \boxed{7 + 6x = 55} \][/tex]
Therefore, the correct answer is D.
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