HELP with homework

[sweetT14]

10=b(2/3)

 

[MarkFL]

Are you supposed to solve for b?

 

[sweetT14]

Yes and I'm sure the answer is 15 but I'm having trouble showing my work.

 

[MarkFL]

What can we do to both sides of the equation to change the coefficient of b to a 1?

 

[ManualMist]

10=b(2/3)


The problem is basically b multiplied by 2/3. All you do is divide 10 by 2/3. B=15 as you already said

 

[lookagain]

10=b(2/3)


The problem is basically b multiplied by 2/3. > > > All you do is divide 10 by 2/3. < < < B=15 as you already said

If I was encountering this type of problem for the first time,
I would not expect to know how to "divide 10 by 2/3."

If someone showed me by using the reciprocal, then I might find that way to click with me:

\(\displaystyle 10 \ = \ b\bigg(\dfrac{2}{3}\bigg)\)


\(\displaystyle \bigg(\dfrac{3}{2}\bigg)\bigg(\dfrac{10}{1}\bigg) \ = \ \bigg(\dfrac{3}{2}\bigg)\bigg[b\bigg(\dfrac{2}{3}\bigg)\bigg]\)


\(\displaystyle 15 \ = \ b\)

 

[mmm4444bot]

10=b(2/3)

All you do is divide 10 by 2/3.

Not quite. You divide both sides by 2/3.

I prefer changing to multiplication (i.e., multiply both sides by the reciprocal of the coefficient).