Sure, let's analyze each of the given options to see which one is equivalent to 2.76.
1. [tex]$2.76 \%$[/tex]:
To convert a percentage to a decimal, you divide by 100. Therefore,
[tex]\[
2.76\% = \frac{2.76}{100} = 0.0276
\][/tex]
This is not equivalent to 2.76.
2. [tex]$27.6 \%$[/tex]:
Similarly, convert this percentage to a decimal by dividing by 100.
[tex]\[
27.6\% = \frac{27.6}{100} = 0.276
\][/tex]
This is also not equivalent to 2.76.
3. [tex]$2 \frac{19}{25}$[/tex]:
Convert this mixed number to an improper fraction and then to a decimal.
[tex]\[
2 + \frac{19}{25}
\][/tex]
To convert [tex]\( \frac{19}{25} \)[/tex] to a decimal, you perform the division:
[tex]\[
\frac{19}{25} = 0.76
\][/tex]
Adding this to 2:
[tex]\[
2 + 0.76 = 2.76
\][/tex]
This is indeed equivalent to 2.76.
4. [tex]$\frac{25}{19}$[/tex]:
Convert this fraction to a decimal by performing the division.
[tex]\[
\frac{25}{19} \approx 1.3157894736842106
\][/tex]
This is not equivalent to 2.76.
From these steps, the only option equivalent to 2.76 is:
[tex]\[
2 \frac{19}{25}
\][/tex]
