Answer :
Certainly! Let's find out how many mL of alcohol are present in a bottle containing 750 mL of wine with an alcohol content of 11% by volume.
Here’s a step-by-step solution:
1. Understand the Percentage: The wine is 11% alcohol by volume. This means that out of every 100 mL of this wine, 11 mL is pure alcohol.
2. Convert Percentage to a Decimal: To make the calculation easier, convert the percentage to a decimal. To do this, divide 11 by 100, which gives you 0.11.
3. Calculate the Volume of Alcohol: Multiply the total volume of the wine by the decimal you calculated. This will give you the volume of alcohol in the wine.
[tex]\[
\text{Alcohol Volume} = \text{Total Wine Volume} \times \text{Alcohol Percentage}
\][/tex]
Plugging in the numbers:
[tex]\[
\text{Alcohol Volume} = 750 \, \text{mL} \times 0.11
\][/tex]
4. Perform the Multiplication:
[tex]\[
\text{Alcohol Volume} = 82.5 \, \text{mL}
\][/tex]
So, there are 82.5 mL of alcohol in the 750 mL bottle of wine.
Here’s a step-by-step solution:
1. Understand the Percentage: The wine is 11% alcohol by volume. This means that out of every 100 mL of this wine, 11 mL is pure alcohol.
2. Convert Percentage to a Decimal: To make the calculation easier, convert the percentage to a decimal. To do this, divide 11 by 100, which gives you 0.11.
3. Calculate the Volume of Alcohol: Multiply the total volume of the wine by the decimal you calculated. This will give you the volume of alcohol in the wine.
[tex]\[
\text{Alcohol Volume} = \text{Total Wine Volume} \times \text{Alcohol Percentage}
\][/tex]
Plugging in the numbers:
[tex]\[
\text{Alcohol Volume} = 750 \, \text{mL} \times 0.11
\][/tex]
4. Perform the Multiplication:
[tex]\[
\text{Alcohol Volume} = 82.5 \, \text{mL}
\][/tex]
So, there are 82.5 mL of alcohol in the 750 mL bottle of wine.
