A 77-inch candle burns down in 44 hours. How far has it burned after 2, one half2 21​ hours? Use the dropdown menu to state your answer as a decimal, mixed number, or improper fraction.AnswerAttempt 1 out of 2Answer type: in.Submit Answer

Sure, let's solve this step by step.

1. Determine the rate at which the candle burns:

   • The candle is 77 inches long and it burns down completely in 44 hours.
   • The rate of burning is given by the total length of the candle divided by the total time it takes to burn down. $\text{Burning rate} = \frac{77 \text{ inches}}{44 \text{ hours}} = 1.75 \text{ inches per hour}$

2. Calculate the total time given:

   • The time given is 2 hours and 21 minutes.
   • Convert 21 minutes to hours: $21 \text{ minutes} = \frac{21}{60} \text{ hours} = 0.35 \text{ hours}$
   • So, the total time is: $2 \text{ hours} + 0.35 \text{ hours} = 2.35 \text{ hours}$

3. Calculate how much of the candle has burned in 2.35 hours:

   • Use the burning rate to find out how many inches have burned in 2.35 hours. $\text{Burned length} = \text{Burning rate} \times \text{Time} = 1.75 \text{ inches/hour} \times 2.35 \text{ hours}$
   • Perform the multiplication: $1.75 \times 2.35 = 4.1125 \text{ inches}$

So, after 2 hours and 21 minutes, the candle has burned down approximately 4.1125 inches.

You can choose to express this answer as a decimal, mixed number, or improper fraction based on the dropdown menu options provided. Here are the different forms:

• Decimal: 4.1125 inches
• Mixed number: 4 inches and $\frac{1125}{10000}$ inches, which simplifies to 4 inches and $\frac{9}{80}$ inches.
• Improper fraction: $\frac{329}{80}$ inches

Choose the format that best fits the dropdown menu options.