Ella's question from Facebook (solving for a variable)

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SUMMARY

This discussion addresses solving for variables in mathematical equations. The first equation, B = (1/9)π²t, is solved for t, resulting in t = (9B)/(π²). The second equation, c = (1/2)mr, is rearranged to find m, yielding m = (2c)/r. Lastly, the equation P = a + 2b + 4c is manipulated to isolate a, resulting in a = P - 2b - 4c. These solutions demonstrate fundamental algebraic manipulation techniques.

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I have 3 problems I'm stuck on. Anyone please help. B=1/9(one ninth)pi to the 2nd power t and trying to solve for t

Then this one, c=1/2(half)mr solving for m

And solve the formula for the indicated variable P=a+2b+4c, for a.
 
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1) I'm not sure exactly what you mean by this. Is this it?

[math]B=\frac{1}{9} \pi ^2 t[/math]

2) [math]c=\frac{1}{2}mr[/math]

Multiply both sides by 2.

[math]2c=1*m*r[/math] or just [math]2c=mr[/math]

Divide both sides by r.

[math]\frac{2c}{r}=m[/math] so [math]m=\frac{2c}{r}[/math]

3) $P=a+2b+4c$ and solve for $a$

Subtract $2b$ from both sides.

$P-2b=a+4c$.

Subtract $4c$ from both sides.

$P-2b-4c=a$ or $a=P-2b-4c$
 

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