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anonymous
 one year ago
I need help someone. Can someone please help me?
anonymous
 one year ago
I need help someone. Can someone please help me?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Write a word problem describing the time it takes to complete an activity individually and with a friend. For example, if John takes 2 hours to mow his lawn and it takes his sister Maria 4 hours to mow the same lawn, how long would it take John and Maria to mow the lawn together? Write a rational equation based upon the word problem you created. The rational equation based upon the scenario above would be \[\frac{ 1 }{ 2 } + \frac{ 1 }{ 4 } = \frac{ 1 }{ x }\] Each fraction represents the amount of the lawn mowed in one hour. The fraction of \[\frac{ 1 }{ 2 }\] is John’s portion. Maria’s share is represented by \[\frac{ 1 }{ 4 }\]. The time it would take for both of them to mow the lawn is represented by \[\frac{ 1 }{ x }\]. Solve the rational equation. Show your work.

Hero
 one year ago
Best ResponseYou've already chosen the best response.2Hint: \[x = \dfrac{4 \times 2}{4 + 2}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok Which part is that a hint for? the 1st part?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you think you could help me with making a rational equation that goes with a scenario

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So if we say that is takes John 2 hours to paint a room and it takes Mary 3 hours to paint the same room. How long would it take for them to paint the whole room together? So would the expression be \[\frac{ 1 }{ 2 } + \frac{ 1 }{ 3 } = \frac{ 1 }{ x }\] ? @Hero

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You're already in great hands getting help from Hero :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I was just wondering because I need help solving it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So would I get the LCD and solve?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434661772234:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434661862797:dw

Hero
 one year ago
Best ResponseYou've already chosen the best response.2When solving a rational equation, and you need to add fractions you only need to create an LCD for the two fractions you are adding together.

Hero
 one year ago
Best ResponseYou've already chosen the best response.2Furthermore, including more x's in your equation is probably not a good idea.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok so would it be dw:1434662193097:dw

Hero
 one year ago
Best ResponseYou've already chosen the best response.2The original equation you set up only had one x to begin with. You want to try to keep it that way.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok then what do I do?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Multiply by 1 to isolate x?

Hero
 one year ago
Best ResponseYou've already chosen the best response.2Also, here's an idea to remember about solving these. Whatever x is, it should always be less than the least time it takes one person to complete a job.

Hero
 one year ago
Best ResponseYou've already chosen the best response.2Basically, to finish, you solve for x.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So I would do \[\frac{ 5 }{ 6 } \times 1 = \frac{ 1 }{ x } \times 1 ?\]

Hero
 one year ago
Best ResponseYou've already chosen the best response.2Ever heard of cross multiplication?

Hero
 one year ago
Best ResponseYou've already chosen the best response.2Any time you set two fractions equal to each other, you can cross multiply as a strategy for solving for an unknown variable.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so would it be dw:1434662530398:dw

Hero
 one year ago
Best ResponseYou've already chosen the best response.2\(\dfrac{5}{6} \times \dfrac{1}{x}\) is not the same as \(\dfrac{5}{6} = \dfrac{1}{x}\)

Hero
 one year ago
Best ResponseYou've already chosen the best response.2Try to avoid confusing yourself. \(\dfrac{5}{6} = \dfrac{1}{x}\) becomes \(5x = 6\) after cross multiplication.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok so then I would isolate x by dividing both sides by 5?

Hero
 one year ago
Best ResponseYou've already chosen the best response.2Yes. And you would end up with \(x = \dfrac{6}{5}\) but more importantly, what you want to do is convert \(\dfrac{6}{5}\) to a mixed fraction, you'll have \(x = 1 + \dfrac{1}{5}\) which is less than 2 (the time it takes John to complete the job) so the answer makes sense. If both John and Mary work together to complete the job, it should take less time than it would take either of them to complete the job working alone.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok thank you so much for your help I feel like I really understood after you helped me I appreciate it a lot. Thanks so much!
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