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Marysya12 [62]
2 years ago
11

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?
Mathematics
1 answer:
kogti [31]2 years ago
3 0

Answer:

The heights are the same after 4 hours.

Step-by-step explanation:

The red candle burns at a rate of 7/10 inches per hour. In t hours, (7/10)t inches have burned. The height of the candle after t hours is 8 - (7/10)t.

The blue candle burns at a rate of 1/5 inch per hour. In t hours, (1/5)t inches have burned. The height of the candle after t hours is 6 - (1/5)t.

You need to find the time, t, when their heights are equal.

8 - (7/10)t = 6 - (1/5)t

Multiply both sides by 10 (the LCD).

80 - 7t = 60 - 2t

-5t = -20

t = 4

The heights are the same after 4 hours.

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100 tickets were sold.
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How many numbers are 10 units from zero on number line
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Answer:

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Emily is thinking of a number, which she calls n. She finds 1/4 of the number and then subtracts 3. Write an expression to repre
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1 year ago
Over which interval are the exponential and linear function approximately the same? from 0.25 to 0.5 from 0.5 to 0.75 from 0.75
ryzh [129]

Answer:

Answer is 0.25 to 0.5

Step-by-step explanation:

Let the linear function be y=x

and exponential function be y=e^x

x          0.25   0.5    0.75    1.0     1.25    1.5

y          0.25   0.5    0.75    1.0     1.25    1.5

Diff             0.25  0.25  0.25   0.25  0.25

e^x      1.29   1.65    2.12     2.72  3.49    4.48

Diff            0.36  0.47     0.60   0.77    0.99

Hence 0.36 to be nearer to 0.25, than other intervals

So answer is 0.25 to 0.5

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1 year ago
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