Ared candle is 8 inches tall and burns at a rate of 7/10 inch per hour. a blue cans 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

It would take 4 hours for both candles to be the same height

Step-by-step explanation:

Total time (t) for red candle to be same height (h) can be expressed as;

Final height after time t=Initial height-rate per hour

where;

Final height after time=h

Initial height=8 inches

Rate per hour=rate×time=(7/10)×t=0.7t

Substituting;

h=8-0.7t

Total time (t) for blue candle to be same height (h1) can be expressed as;

Final height after time t=Initial height-rate per hour

where;

Final height after time=h1

Initial height=6 inches

Rate per hour=rate×time=(1/5)×t=0.2t

Substituting;

h1=6-0.2t

Since h=h1

8-0.7t=6-0.2t

8-6=0.7t-0.2t

0.5t=2

t=2/0.5

t=4 hours

It would take 4 hours for both candles to be the same height

it is a secret for it not to be compromised sorry

step-by-step explanation:

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

ya