Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
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]
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]
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.