Ared candle is 8 inches tall and burns at a rate of 7/10 inch per hour. a blue candle is 6 inches tall and burns at a rate of 1/5 inch per hour. after how many hours will both candles be the same height?

  4 hours

Step-by-step explanation:

The height of the red candle in inches can be modeled by ...

  h = 8 - (7/10)t

where t is the number of hours it burns.

Likewise, the height of the blue candle can be modeled by ...

  h = 6 - (1/5)t

The heights of the two candles will be the same when one expression for height is equal to the other.

  8 - (7/10)t = 6 - (1/5)t

  2 = t(7/10 - 1/5) . . . . . . . . . add (7/10)t -6

  2/(5/10) = t = 4 . . . . . . . . . divide by the coefficient of t

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: