Question

For all nonzero real numbers p, t, x, and y such that ,
(x/y)=(3p/2t)
which expression is equivalent to t ?

Answer 1

Is this a multiple choice question?

Answer 2

Yes, the choices are: F. y/2 G. 3px/2y H. 6py/x J. 3py/x K. 3py/2x

Answer 3

Ok well basicall all they're asking for is to solve for t, do you know how to manipluate variables? I can alwsy teach you it's really easy.

Answer 4

Oh and \[\Huge WELCOME~TO~~~OPENSTUDY\]

Answer 5

Anyways we have this equation: \[\Large \frac{x}{y}=\frac{3p}{2t}\] correct?

Answer 6

Yes.

Answer 7

Ok sorry back, now we multiply both sides by 2t to get it from the denominator
\[\Huge 2t \times \frac{x}{y}=\frac{3p}{2t} \times 2t\]

Answer 8

Then we have \[\Huge \frac{2tx}{x}=3p\]
then we muliply both sides by \[\Huge \frac{1}{3p} \times \frac{2tx}{x}=3p \times \frac{1}{3p}\]
\[\Huge \frac{2tx}{3px}=1\]
Then we multiply by 3px/2x to get the "t" by itself \[\Huge \frac{3px}{2x} \times \frac{2tx}{3px}=1 \times \frac{3px}{2x}\]
\[\Huge t=\frac{3px}{2x}\]

Answer 9

Sorry its 3py**** I changed the y into an x

Answer 10

Letter K

Answer 11

Thank you.

Answer 12

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