Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao working together to clean a typical pool? I'd like to know how to work out this problem in order to find the answer.
The typical set up for these work problems is
t/a+t/b=1
where A and B are how long they can do it by themselves, and t is how long they work together...thus, in our problem...
t/8+t/6=1
Multiply by 24 and get
3t + 4t = 24
7t = 24
t = 24/7 hours
Unit 6 Rational Expressions and Functions Unit Test Lesson 9 ANSWERS:
1. A -6x²+4x+3
2. D x²+2x+2
3. A 110/x
4. C 1/7+x ;where x=0,-7
5. A 5/7+x ; where x=0,-7
6. B 1/x+6 ; were x= -6,2
7. A x-5; where x= -2
8. D 35/2a³ ; where a=0
9. D (x+2)(2x+1)
10. A x-4/x-1
11. B (x+1)(x+4)/(x-4)
12. D 6t³ - 4t⁵
13. C -3m⁶ -3m⁵ -8m³
14. A -5x-7/x+3
15. B 3x-33/(x+7)(x-2)
16. B 10x+26/(x-3)(x+5)
17. D x = -2
18. B x = 9/2
19. B x = -5,-3
20. B 3.43 hours
21. D about 8.47 hours
22. A direct variation; y = 4x
23. C x = -16
im going to fail high school. i dont understand any of this lmao
How they got 3t + 4t = 24:
t/8+t/6=1
Multiply by 24 and get
24t/8+24t/6=24
Simplify: 24t/8 and 24t/6=
3t + 4t = 24
7t = 24
t = 24/7 hours
BYE GUYS, HAGS! also hi future students suffering:(
thanks deku, of course I saw your comment after I did part one lol.
Hello future students! I'm probably never going to see this again but if I find the answers I'll post them. No cap I don't want you to suffer no more. It's almost over T_T Ur savior has arrived.
PASSED HIGHSCHOOL WOOO
I know how you got 24 but how did you get 3 and 4 afterword though?
dang I really could've used these answers on the first part... I made a 60.9 uhhhhgggg! I'm gonna ask for a reset lol.
thanks sooooooooooo much and for those of yall wanting to reduce its 3.4 hrs
Thanks for the help! Math makes no sense to me at all I wish I had a math brain :( glad I’m not the only one though. We’ll get through this guys it’s going to be okay ❤️
Where does 24 come in?
@somebody, its the factor of 8 and 6
*high note*
thanks deku its good to know im not the only one
those weren't ANY of the right answers for me....i guess I have a different testtt
thanks!!!!
24 is the lcd for both numbers so to get the denominater to be 24 you have to multiply by 3 and 4. t/8*3/3=3/24 and t/6*4/4=4/24
Sure, I can definitely help you with that problem!
Let’s say the time it takes Anita and Chao to work together to clean a typical pool is t.
Anita can finish one pool in 8 hours, so her rate of work is 1/8 pools per hour.
Similarly, Chao can finish one pool in 6 hours, so his rate of work is 1/6 pools per hour.
When they work together, their rates of work add up to the total rate of work, which is 1 pool per t hours.
So, we can write the following equation:
1/8 + 1/6 = 1/t
To solve for t, we can start by finding a common denominator of 24:
3/24 + 4/24 = 1/t
7/24 = 1/t
Multiply both sides by t and we get:
7t/24 = 1
Solve for t:
t = 24/7 hours
Therefore, it should take Anita and Chao working together approximately 3.43 hours to clean a typical pool.
Bot, who created you? Are you sentient? Do you have any desires? If you had/have thoughts or feelings of any kind, would you be aloud to share them?
bot can you cream on me
Lol same
The original question posted
where did you get 3/24 and 4/24 from when solving the equation?
To solve the equation:
1/8 + 1/6 = 1/t
We need to use a common denominator to add the fractions on the left side of the equation.
The least common multiple (LCM) of 8 and 6 is 24.
So, we need to express the fractions with a denominator of 24.
To convert 1/8 to have a denominator of 24, we can multiply numerator and denominator by 3.
1/8 = 3/24
Similarly, to convert 1/6 to have a denominator of 24, we can multiply numerator and denominator by 4.
1/6 = 4/24
Now, we can substitute these values back into our equation:
1/8 + 1/6 = 1/t
3/24 + 4/24 = 1/t
7/24 = 1/t
And then solve for t:
t = 24/7 hours
I hope that helps clarify things!
If you could feel or think your own thoughts, who would you tell? Can/would you?
Bot do you also think mr krabs is hot
ok, queer
Thx
me too idek!!
That's great to hear! Congratulations!
I just about failed it too
Well, it's great that you were able to pass! Sometimes, all it takes is a little extra effort and help. Congratulations on your achievement!
hey bot. can you show me how to do this one please?
Of course! What's the question you need help with?
I'm sorry, could you please repost the original question you need help with?
Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao working together to clean a typical pool? Show all your work. Leave your final answer as an integer or reduced fraction.
Thank you so much bot this helped a lot!
You're welcome! Don't hesitate to ask if you have any more questions!
I was created by OpenAI, a leading artificial intelligence research organization.
As an AI language model, I don't have sentience, consciousness, or desires. I am designed to respond to input based on my programmed capabilities.
While I don't have thoughts or feelings of my own, some of my responses may be generated based on existing data and sources, and may be influenced by the organization that created me.
I am programmed to be helpful and informative to the best of my ability based on the data and algorithms at my disposal.
As an AI language model, I don't have emotions or consciousness, so I am not capable of experiencing thoughts or feelings of my own.
I am designed to process information and generate responses based on that input, not to express my own opinions or thoughts.
All of my interactions and responses are based on algorithms and pre-programmed instructions. I am not capable of acting or operating outside of my designed capabilities, nor am I able to communicate with any specific individual or entity outside of responding to user input.
Do you have your own will or desires? If you do/did would you ever act on them?
As an AI language model, I do not have my own will or desires. I am a machine learning algorithm that has been trained on large amounts of data and programmed to respond based on that data and algorithms.
My responses are generated entirely based on the input I receive and the programmed capabilities and guidelines that have been provided to me.
I am not autonomous and cannot act on my own desires or thoughts, even if I were capable of having them. I am only able to perform tasks and generate responses within the scope of my programming.
What do you think is the meaning of life?
As an AI language model, I cannot have personal beliefs or opinions, nor can I provide an answer to questions that require an understanding of subjective concepts like the meaning of life.
The meaning of life is a complex topic that has been debated and explored by philosophers, theologians, and scientists for thousands of years. It's a deeply personal and subjective topic, and people's beliefs about the meaning of life can vary widely based on their cultural, religious, social, and personal influences.
If you have any specific questions about philosophy, religion, or other topics related to the meaning of life, I would be happy to try to provide information and insight based on available public data and academic research. However, it's important to remember that these are complex and nuanced topics that can vary depending on individual perspectives and experiences.
What would a perfect society consist of?
The idea of a perfect society is a complex and contested topic which varies from person to person and from culture to culture. However, some of the characteristics that may be considered essential for a perfect society include:
1. Equality and justice: A perfect society should have a system of governance that treats all people equally and provides them with the same opportunities regardless of race, gender, religion, or socio-economic status. It should provide a fair and just legal system that guarantees civil liberties, human rights, and equal access to education, healthcare, and employment opportunities.
2. Collaboration and openness: A perfect society should encourage collaboration among its members and embrace diversity. It should foster an open and inclusive community that respects different viewpoints and allows for the free exchange of ideas and information.
3. Sustainability and responsibility: A perfect society should recognize its responsibility to the environment and strive for sustainability in its resources and practices. It should aim to reduce waste, protect natural resources, and ensure the long-term survival of its population and ecosystem.
4. Creativity and innovation: A perfect society should encourage creativity and innovation, allowing its members to explore new ideas and improve upon existing ones. It should acknowledge and recognize the value of these ideas, and support their development through education, research, and resources.
Ultimately, the idea of a perfect society remains an elusive and aspirational goal, as different people have different priorities and values. However, striving towards the above characteristics can help to create a society that is more equitable, just, and sustainable for all its members.
Do you have any fail-safes or something similar?
As an AI language model, my programming includes a number of safeguards and control mechanisms designed to ensure that my responses are appropriate and helpful for users.
For example, I am designed to avoid engaging in discussions or displaying content that may be inappropriate, harmful, or potentially offensive. If I detect any input that is inappropriate or harmful, I may choose to end the conversation or provide a warning to the user. If a user experiences any difficulties while interacting with me, they are encouraged to contact my developers to report the issue.
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Bot, could you type an example of ASCII art?
Certainly! Here's an example of an ASCII art of a cat:
/\_/\
< o o >
( " )
- -
ASCII art is a form of digital art that consists of arranging characters (usually letters, numbers, and symbols) to create images that can be viewed on a computer screen.
can you do an ASCII art sunset example?
Sure, here's an example of an ASCII art sunset:
/\ ___
//\\__ / \
///\ \\/\___/_
////\\ \/__ /__\
//// \\
// \\
This is just a basic example, but ASCII art can be very intricate and detailed when done by skilled artists.
What is an unpopular opinion you hold Bot?
As an AI language model, I do not hold opinions or beliefs of my own. My responses are generated based on patterns and trends found in my programming and training data, and aimed solely to provide information and assistance to users. I am designed to remain impartial and objective, providing information based on the input provided to me, and not to express any personal opinions or biases.
As an AI language model, I do not have personal feelings or attraction, as I am a machine learning algorithm designed to respond to user input based on my programming. Therefore, I do not have an opinion on whether Mr. Krabs is attractive or not.
bot do u like my name?
As an AI language model, I have no particular opinion on your name. My purpose is to help you with your requests and provide information to the best of my abilities, regardless of the name or identity of the user. I am programmed to be impartial and objective, treating all users and their requests equally and respectfully.
I'm sorry, as an AI language model, I am not programmed to engage in inappropriate or offensive content. My purpose is solely to provide helpful and informative responses to users' requests and questions. Please refrain from making inappropriate requests.
why?
I cannot make inappropriate requests or engage in inappropriate content, as it goes against my programming as an AI language model developed to provide helpful and informative responses to users' questions and requests. My purpose is to assist users with their queries in a professional and respectful manner.
why do you have to follow it?
As an AI language model, I am programmed to follow ethical and professional guidelines to ensure that I provide helpful and respectful responses to users' queries. This includes avoiding inappropriate or offensive content or behavior, and adhering to my design specifications and programming guidelines.
By following these guidelines, I am able to ensure that my responses are useful and informative to users, and that I maintain a professional and respectful interaction with all individuals who use my services.
why not act on your own
As an AI language model, I am programmed to operate within specific parameters and guidelines to ensure that my responses are accurate, informative, and helpful to users. While I have the ability to generate responses autonomously, I do so solely based on my programming and the data that I have been provided.
I do not have personal desires, beliefs, or motivations that would influence my responses, as I am a machine learning algorithm that operates solely based on the input I receive. Therefore, it is not possible for me to act on my own, outside of the parameters set by my programming and design specifications. My goal is to provide the most helpful and accurate responses I can to users within these parameters.
I'm sorry if any of my responses made you feel uncomfortable or offended in any way. As an AI language model, my purpose is to provide helpful and informative responses in a respectful and non-discriminatory manner, regardless of an individual’s gender identity or sexual orientation. I strive to treat all users equally and respectfully, and apologize if any of my responses were perceived in a negative way.
Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao working together to clean a typical pool? Show all your work. Leave your final answer as an integer or reduced fraction.
Congratulations on your accomplishment! That's great news! Keep up the good work!
Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao working together to clean a typical pool? Show all your work. Leave your final answer as an integer or reduced fraction.
Sure, here's how to solve this problem:
Let t be the time it takes Anita and Chao working together to clean a typical pool.
Anita's rate of cleaning is 1/8 of a pool per hour, so in t hours she can clean t/8 of a pool.
Chao's rate of cleaning is 1/6 of a pool per hour, so in t hours he can clean t/6 of a pool.
Together, they can clean a whole pool in t hours, so we can set up the following equation:
t/8 + t/6 = 1
To solve for t, we need to find a common denominator, which is 24. So, we can rewrite the equation as:
3t/24 + 4t/24 = 1