Ask your own question, for FREE!
Mathematics 8 Online
OpenStudy (anonymous):

2 = (2/5 + 2/6)t

OpenStudy (dangerousjesse):

Reverse the equality in \(2 = \frac{11 t}{15}\) in order to isolate t to the left hand side.

OpenStudy (dangerousjesse):

So what's equivalent to \(2=\frac{11t}{15}\)?

OpenStudy (squirrels):

Seems like this fine young lady is helping you, cooperate with her.

OpenStudy (anonymous):

sorry

OpenStudy (anonymous):

new to this website and learning the ropes

OpenStudy (anonymous):

im sorry i dont understand how you simplified it

OpenStudy (dangerousjesse):

I didn't, I'm helping you isolate the variable first :) What's the equivalent of \(\large 2=\frac{11t}{15}\)

OpenStudy (anonymous):

ok i got a little lost

OpenStudy (anonymous):

it started with 2=2/5t+2/6t

OpenStudy (anonymous):

and i understand we were trying to simplify/isolate the variable

OpenStudy (squirrels):

Teach her about common denominators first.

OpenStudy (anonymous):

1. there is no need to be rude

OpenStudy (anonymous):

pfffffffft

OpenStudy (anonymous):

calling me a nerd

OpenStudy (anonymous):

saying i need education

OpenStudy (anonymous):

and yes i do

OpenStudy (dangerousjesse):

Oh, that's just the way for you to find a common denominator for the two fractions.. He never called you a nerd..?

OpenStudy (anonymous):

He called me a nerd in the mathematics chat box

OpenStudy (anonymous):

You don't know what a 'nerd' is do you? Its not something you call a stubborn person. If it were- your username would be nerd.

OpenStudy (anonymous):

Much insult

OpenStudy (anonymous):

Such wow

OpenStudy (anonymous):

(nice one regrets opening this website) (mean one does not)

OpenStudy (anonymous):

i just wanted some help... :(

OpenStudy (anonymous):

(And there are two people right now sharing the same laptop, so when we say nice one or mean one, we are talking about the person who is typing. As you can tell, the mean one is hecka sarcastic and has no regrets.)

OpenStudy (anonymous):

ok so in all this i got 2=22/30t

OpenStudy (anonymous):

is that right?

OpenStudy (dangerousjesse):

Hm. Simplify the following: (2/5+2/6) t Reduce 2/6 to lowest terms. Start by finding the GCD of 2 and 6. The gcd of 2 and 6 is 2, so 2/6 = (2×1)/(2×3) = 2/2×1/3 = 1/3: (2/5+1/3) t Put the fractions in 2/5+1/3 over a common denominator. Put 2/5+1/3 over the common denominator 15. \(\frac{2}{5}+\frac{1}{3} = \frac{3×2}{15}+\frac{5}{15}:\) \(\frac{3×2}{15}+\frac{5}{15 t}\) Multiply 3 and 2 together. \(3×2 = 6:\) \((\frac{6}{15}+\frac{5}{15}) t\) Add the fractions over a common denominator to a single fraction. \[\frac{6}{15}+\frac{5}{15} = \frac{6+5}{15}:\]\(\frac{6+5}{15 t}\) Evaluate \(6+5\). \(6+5 = 11:\) Sorry for being sporadic with the equations, I get lazy.

OpenStudy (dangerousjesse):

And that leaves you with the simplified \(\frac{11t}{15}\)

OpenStudy (anonymous):

the lesson didnt say anything about GCD

OpenStudy (anonymous):

ill send the whole thing

OpenStudy (anonymous):

Shannon and Macie are raking leaves to earn some money. Shannon can rake 2 lawns that are about the same size in 5 hours. Macie can rake 2 lawns that are about the same size in 6 hours. How long would it take both girls to work together to rake 2 lawns? Write and solve an equation for this situation. Explain how to set up the equation, using w = rt.

OpenStudy (dangerousjesse):

I know :) To find \(t\), the easiest thing to do is to simplify the fraction :)

OpenStudy (anonymous):

okay

OpenStudy (dangerousjesse):

So, can you tell me what's equivalent to \(2=\frac{11t}{15}\)?

OpenStudy (anonymous):

would you multiply 15 then cancel out?

OpenStudy (squirrels):

GCD=Greatest Common Denominator. Thanks for helping by the way jess.

OpenStudy (anonymous):

I know what GCD is, but the question said nothing about it; if you read it that is.

OpenStudy (dangerousjesse):

No, you just switch out 2 and \(\frac{11t}{15}\). So the equivaent equation is \(\frac{11t}{15}=2\) No prob, Bob.

OpenStudy (dangerousjesse):

Now, just multiply both sides by a constant. What do you think the constant would be?

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!