nico3455
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A red 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?

A red candle is 8 inches tall and burns at a rate of 710 inch per hour A blue candle is 6 inches tall and burns at a rate of 15 inch per hour After how many ho class=

Respuesta :

samjvondra

Answer:

4 Hours

Step-by-step explanation:

we will set up two linear equations first by taking the initial height if each candle and subtracting the rate they burn at times our input variable of time (x) equal to height (y)

So, 8-7/10x=y and 6-1/5x=y

then, because both equations equal y you can set them equal to each other so

8-7/10x=6-1/5x

Finally, solve for x

8-7/10x=6-1/5x

subtract 6 from both sides

2-7/10x=-1/5x

add 7/10 x to both sides (1/5x=2/10x)

2=5/10x

simplify

2=1/2x

x=4

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