question\nlightbulbs act as resistors. janine is building a circuit that contains two lightbulbs in…

question\nlightbulbs act as resistors. janine is building a circuit that contains two lightbulbs in parallel. one of the lightbulbs has a resistance of 120 ohms, but the resistance of the second lightbulb is unknown. she models the total resistance in the circuit, t, with this equation, in which r represents the resistance of the second lightbulb.\nt = \\frac{120r}{r + 120}\nfind the inverse of janines equation.\nr =

question\nlightbulbs act as resistors. janine is building a circuit that contains two lightbulbs in parallel. one of the lightbulbs has a resistance of 120 ohms, but the resistance of the second lightbulb is unknown. she models the total resistance in the circuit, t, with this equation, in which r represents the resistance of the second lightbulb.\nt = \\frac{120r}{r + 120}\nfind the inverse of janines equation.\nr =

Answer

Answer:

$r=\frac{120t}{120 - t}$

Explanation:

Step1: Start with the given equation

$t=\frac{120r}{r + 120}$

Step2: Cross - multiply

$t(r + 120)=120r$

Step3: Expand the left side

$tr+120t = 120r$

Step4: Move terms with $r$ to one side

$120t=120r - tr$

Step5: Factor out $r$ on the right side

$120t=r(120 - t)$

Step6: Solve for $r$

$r=\frac{120t}{120 - t}$