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The organizers of a Founder's Day festival on Main Street surveyed local businesses to see if they would be offering any promotions to customers during the festival. The table contains the data gathered.

\begin{tabular}{|c|c|c|c|c|}
\hline
\multicolumn{5}{|c|}{Promotions and Business Locations} \\
\cline{2-5}
& Free Items & Special Sales & No Promotions & Total \\
\hline
\begin{tabular}{c}
Located \\
On Main Street
\end{tabular}
& 6 & 8 & 7 & 21 \\
\hline
\begin{tabular}{c}
Located \\
One Block Away
\end{tabular}
& 4 & 19 & 12 & 35 \\
\hline
\begin{tabular}{c}
Located \\
[tex]$2+$[/tex] Blocks Away
\end{tabular}
& 8 & 48 & 18 & 74 \\
\hline
Total & 18 & 75 & 37 & 130 \\
\hline
\end{tabular}

Match the statements about the number of businesses surveyed with the correct values.

8

14

6

23

4

15

19

18

- the difference in the number of businesses that are located one block from Main Street and that are located on Main Street

[tex]$\longrightarrow \square$[/tex]

- the number of businesses offering no promotions and located two or more blocks from Main Street

[tex]$\longrightarrow \square$[/tex]

- the total number of businesses located one block from Main Street and offering free items or special sales

[tex]$\longrightarrow \square$[/tex]

- the number of businesses giving away free items and located on Main Street

[tex]$\longrightarrow \square$[/tex]



Answer :

GinnyAnswer
Let's match the given statements about the number of businesses surveyed with the correct values. Here, I will explain each statement step by step.

1. Difference in the number of businesses that are located one block from Main Street and those that are located on Main Street:
- We compare the total number of businesses located "One Block Away" with those "On Main Street".
- The total for "One Block Away" is 35.
- The total for "On Main Street" is 21.
- The difference is [tex]\( 35 - 21 = 14 \)[/tex].

2. The number of businesses offering no promotions and located two or more blocks from Main Street:
- The number of businesses offering "No Promotions" for those "2+ Blocks Away" is 18.

3. The total number of businesses located one block from Main Street and offering free items or special sales:
- We need to find the total number of businesses offering "Free Items" or "Special Sales" located "One Block Away".
- The number of businesses for "Free Items" is 4.
- The number of businesses for "Special Sales" is 19.
- The sum is [tex]\( 4 + 19 = 23 \)[/tex].

4. The number of businesses giving away free items and located on Main Street:
- The number of businesses offering "Free Items" located "On Main Street" is 6.

So, the correct matches are:
1. The difference in the number of businesses that are located one block from Main Street and those that are located on Main Street → 14
2. The number of businesses offering no promotions and located two or more blocks from Main Street → 18
3. The total number of businesses located one block from Main Street and offering free items or special sales → 23
4. The number of businesses giving away free items and located on Main Street → 6

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