Get comprehensive solutions to your questions with the help of IDNLearn.com's experts. Discover in-depth and trustworthy answers from our extensive network of knowledgeable professionals.
Sagot :
Let's start by setting up the situation based on the given information:
1. Terrence spends 10 hours driving with an instructor.
2. Additionally, he attends 2-hour classes every week.
3. He needs to complete a total of 26 hours of instruction to be eligible to take his driver's test.
We are asked to find [tex]\( w \)[/tex], the number of weeks the driving classes will last.
First, let's look at the equations provided and determine which one correctly represents the situation:
- [tex]\(2w + 10 = 26\)[/tex]
- [tex]\(10(w + 2) = 26\)[/tex]
- [tex]\(10w + 2 = 26\)[/tex]
- [tex]\(2(w + 10) = 26\)[/tex]
To find the correct equation, note the following:
- The total number of hours Terrence spends with the instructor is 10 hours.
- Each week, Terrence attends an additional 2-hour class.
- We need to find the total number of hours as a sum of these activities.
The equation that correctly represents this sum should be:
[tex]\[ 10 \text{ (hours with the instructor)} + 2w \text{ (2 hours for each week for w weeks)} = 26 \text{ (total hours)} \][/tex]
This simplifies to:
[tex]\[ 2w + 10 = 26 \][/tex]
Next, let's solve for [tex]\( w \)[/tex]:
1. Start with the equation:
[tex]\[ 2w + 10 = 26 \][/tex]
2. Subtract 10 from both sides to isolate the term with [tex]\( w \)[/tex]:
[tex]\[ 2w = 16 \][/tex]
3. Divide both sides by 2 to solve for [tex]\( w \)[/tex]:
[tex]\[ w = 8 \][/tex]
So, the number of weeks the driving classes last is [tex]\( 8 \)[/tex] weeks.
The correct equation is [tex]\(\boxed{2w + 10 = 26}\)[/tex], and the number of weeks [tex]\( w \)[/tex] is [tex]\(\boxed{8}\)[/tex] weeks.
1. Terrence spends 10 hours driving with an instructor.
2. Additionally, he attends 2-hour classes every week.
3. He needs to complete a total of 26 hours of instruction to be eligible to take his driver's test.
We are asked to find [tex]\( w \)[/tex], the number of weeks the driving classes will last.
First, let's look at the equations provided and determine which one correctly represents the situation:
- [tex]\(2w + 10 = 26\)[/tex]
- [tex]\(10(w + 2) = 26\)[/tex]
- [tex]\(10w + 2 = 26\)[/tex]
- [tex]\(2(w + 10) = 26\)[/tex]
To find the correct equation, note the following:
- The total number of hours Terrence spends with the instructor is 10 hours.
- Each week, Terrence attends an additional 2-hour class.
- We need to find the total number of hours as a sum of these activities.
The equation that correctly represents this sum should be:
[tex]\[ 10 \text{ (hours with the instructor)} + 2w \text{ (2 hours for each week for w weeks)} = 26 \text{ (total hours)} \][/tex]
This simplifies to:
[tex]\[ 2w + 10 = 26 \][/tex]
Next, let's solve for [tex]\( w \)[/tex]:
1. Start with the equation:
[tex]\[ 2w + 10 = 26 \][/tex]
2. Subtract 10 from both sides to isolate the term with [tex]\( w \)[/tex]:
[tex]\[ 2w = 16 \][/tex]
3. Divide both sides by 2 to solve for [tex]\( w \)[/tex]:
[tex]\[ w = 8 \][/tex]
So, the number of weeks the driving classes last is [tex]\( 8 \)[/tex] weeks.
The correct equation is [tex]\(\boxed{2w + 10 = 26}\)[/tex], and the number of weeks [tex]\( w \)[/tex] is [tex]\(\boxed{8}\)[/tex] weeks.
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.