Dive into the world of knowledge and get your queries resolved at IDNLearn.com. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.
Sagot :
To find the value of [tex]\( x \)[/tex], which represents the number of thirty-minute sessions Carly conducted, follow these steps:
1. Set up the equations based on the given information.
- Carly charges \[tex]$15 for each thirty-minute session. - Carly charges \$[/tex]25 for each sixty-minute session.
- Her total earnings for the weekend were \$230.
- She conducted [tex]\( x \)[/tex] thirty-minute sessions.
- She conducted [tex]\( x - 2 \)[/tex] sixty-minute sessions.
2. Create an equation to represent her total earnings:
- Earnings from thirty-minute sessions: [tex]\( 15x \)[/tex]
- Earnings from sixty-minute sessions: [tex]\( 25(x - 2) \)[/tex]
- Total earnings: [tex]\( 15x + 25(x - 2) = 230 \)[/tex]
3. Simplify the equation:
[tex]\[ 15x + 25(x - 2) = 230 \][/tex]
Expand and simplify:
[tex]\[ 15x + 25x - 50 = 230 \][/tex]
Combine like terms:
[tex]\[ 40x - 50 = 230 \][/tex]
4. Isolate [tex]\( x \)[/tex]:
[tex]\[ 40x - 50 = 230 \][/tex]
Add 50 to both sides:
[tex]\[ 40x = 280 \][/tex]
Divide both sides by 40:
[tex]\[ x = 7 \][/tex]
Hence, [tex]\( x \)[/tex] is 7. Carly conducted 7 thirty-minute sessions.
The correct answer is:
A. 7
1. Set up the equations based on the given information.
- Carly charges \[tex]$15 for each thirty-minute session. - Carly charges \$[/tex]25 for each sixty-minute session.
- Her total earnings for the weekend were \$230.
- She conducted [tex]\( x \)[/tex] thirty-minute sessions.
- She conducted [tex]\( x - 2 \)[/tex] sixty-minute sessions.
2. Create an equation to represent her total earnings:
- Earnings from thirty-minute sessions: [tex]\( 15x \)[/tex]
- Earnings from sixty-minute sessions: [tex]\( 25(x - 2) \)[/tex]
- Total earnings: [tex]\( 15x + 25(x - 2) = 230 \)[/tex]
3. Simplify the equation:
[tex]\[ 15x + 25(x - 2) = 230 \][/tex]
Expand and simplify:
[tex]\[ 15x + 25x - 50 = 230 \][/tex]
Combine like terms:
[tex]\[ 40x - 50 = 230 \][/tex]
4. Isolate [tex]\( x \)[/tex]:
[tex]\[ 40x - 50 = 230 \][/tex]
Add 50 to both sides:
[tex]\[ 40x = 280 \][/tex]
Divide both sides by 40:
[tex]\[ x = 7 \][/tex]
Hence, [tex]\( x \)[/tex] is 7. Carly conducted 7 thirty-minute sessions.
The correct answer is:
A. 7
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.