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Jess has dinner at a restaurant. The dinner bill is [tex]\( B \)[/tex] dollars. She pays a 21% tip.

Match the expressions to their correct meanings for Jess.

Expressions:
[tex]\[ 2.1B, \, B + 0.21B, \, 0.21B, \, \frac{B}{0.21B}, \, B \][/tex]

| Jess's bill amount without tip | Jess's tip amount | Jess's total amount |
|:-----------------------------:|:-----------------:|:-------------------:|
| | | |



Answer :

GinnyAnswer
Let's work through the problem step-by-step by matching each expression to its correct meaning:

1. Jess's bill amount without tip:
- The bill amount without the tip is simply the original dinner bill. This is denoted by [tex]\(B\)[/tex].

2. Jess's tip amount:
- The tip amount is given as 21% of the bill amount. To express this, we convert the percentage to a decimal and multiply by the bill amount [tex]\(B\)[/tex].
- [tex]\(21\% \text{ of } B = 0.21B\)[/tex].

3. Jess's total amount:
- The total amount she pays is the sum of the original bill and the tip amount.
- Since the original bill is [tex]\(B\)[/tex] and the tip is [tex]\(0.21B\)[/tex], the total amount is:
- [tex]\(B + 0.21B\)[/tex].

Using these definitions, we match the expressions to their correct locations in the table:

[tex]\[ \begin{tabular}{|c|l|l|} \hline \begin{tabular}{c}$\text{Jess's bill amount}$ \\ $\text{without tip}$ \end{tabular} & $\text{Jess's tip amount}$ & $\text{Jess's total amount}$ \\ \hline $B$ & $0.21 B$ & $B + 0.21 B$ \\ \hline \end{tabular} \][/tex]

Therefore, the final matched expressions are:

- Jess's bill amount without tip: [tex]\(B\)[/tex]
- Jess's tip amount: [tex]\(0.21 B\)[/tex]
- Jess's total amount: [tex]\(B + 0.21 B\)[/tex]