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Answer :
Sure! Let's break this problem down and solve it step-by-step.
### Part 1: Distance Traveled by the Automobile
The problem states that the average speed of the automobile is [tex]\( 95.5 \, \text{km/h} \)[/tex]. We need to find out how many kilometers it will travel in [tex]\( 3.5 \)[/tex] hours.
To calculate the distance traveled, we use the formula:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Given:
- Speed = [tex]\( 95.5 \, \text{km/h} \)[/tex]
- Time = [tex]\( 3.5 \, \text{hours} \)[/tex]
So,
[tex]\[ \text{Distance} = 95.5 \, \text{km/h} \times 3.5 \, \text{hours} = 334.25 \, \text{km} \][/tex]
Therefore, the automobile will travel [tex]\( 334.25 \, \text{km} \)[/tex] in [tex]\( 3.5 \)[/tex] hours.
### Part 2: Conversion from Inches to Centimeters
The problem also asks us to convert [tex]\( 72 \)[/tex] inches into centimeters. We know that [tex]\( 1 \)[/tex] inch is equivalent to [tex]\( 2.54 \)[/tex] cm.
To convert inches to centimeters, we use the formula:
[tex]\[ \text{Centimeters} = \text{Inches} \times \text{Conversion Factor} \][/tex]
Given:
- Number of inches = [tex]\( 72 \)[/tex]
- Conversion factor from inches to centimeters = [tex]\( 2.54 \, \text{cm/inch} \)[/tex]
So,
[tex]\[ \text{Centimeters} = 72 \, \text{inches} \times 2.54 \, \text{cm/inch} = 182.88 \, \text{cm} \][/tex]
Therefore, [tex]\( 72 \)[/tex] inches is equal to [tex]\( 182.88 \, \text{cm} \)[/tex].
### Summary of the Results
1. The automobile will travel [tex]\( 334.25 \, \text{km} \)[/tex] in [tex]\( 3.5 \)[/tex] hours.
2. [tex]\( 72 \)[/tex] inches is equal to [tex]\( 182.88 \, \text{cm} \)[/tex].
I hope this detailed solution helps you understand how to solve problems like these! If you have any more questions, feel free to ask.
### Part 1: Distance Traveled by the Automobile
The problem states that the average speed of the automobile is [tex]\( 95.5 \, \text{km/h} \)[/tex]. We need to find out how many kilometers it will travel in [tex]\( 3.5 \)[/tex] hours.
To calculate the distance traveled, we use the formula:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
Given:
- Speed = [tex]\( 95.5 \, \text{km/h} \)[/tex]
- Time = [tex]\( 3.5 \, \text{hours} \)[/tex]
So,
[tex]\[ \text{Distance} = 95.5 \, \text{km/h} \times 3.5 \, \text{hours} = 334.25 \, \text{km} \][/tex]
Therefore, the automobile will travel [tex]\( 334.25 \, \text{km} \)[/tex] in [tex]\( 3.5 \)[/tex] hours.
### Part 2: Conversion from Inches to Centimeters
The problem also asks us to convert [tex]\( 72 \)[/tex] inches into centimeters. We know that [tex]\( 1 \)[/tex] inch is equivalent to [tex]\( 2.54 \)[/tex] cm.
To convert inches to centimeters, we use the formula:
[tex]\[ \text{Centimeters} = \text{Inches} \times \text{Conversion Factor} \][/tex]
Given:
- Number of inches = [tex]\( 72 \)[/tex]
- Conversion factor from inches to centimeters = [tex]\( 2.54 \, \text{cm/inch} \)[/tex]
So,
[tex]\[ \text{Centimeters} = 72 \, \text{inches} \times 2.54 \, \text{cm/inch} = 182.88 \, \text{cm} \][/tex]
Therefore, [tex]\( 72 \)[/tex] inches is equal to [tex]\( 182.88 \, \text{cm} \)[/tex].
### Summary of the Results
1. The automobile will travel [tex]\( 334.25 \, \text{km} \)[/tex] in [tex]\( 3.5 \)[/tex] hours.
2. [tex]\( 72 \)[/tex] inches is equal to [tex]\( 182.88 \, \text{cm} \)[/tex].
I hope this detailed solution helps you understand how to solve problems like these! If you have any more questions, feel free to ask.
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