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disa [49]
3 years ago
7

suppose that the height of a candle is a linear function of the amount of time it has been burning. after 14 hours of burning a

candle has a height of 19.8 CM after 27 hours of burning, it's height is 15.9 CM what is the height of the candle after 25 hours​
Mathematics
2 answers:
prisoha [69]3 years ago
6 0

Answer:

13.0

idk I just just guessing

Naya [18.7K]3 years ago
3 0

Answer:

16.5 cm

Step-by-step explanation:

Rate of burning, R = (height1 - height2) / time of burning

So, R = (19.8cm - 15.9cm) / (27hr - 14hr)

     R = 3.9cm / 13hr = 0.3 cm/hr

Now for finding initial height (x) of candle using the same formula but this time we have found the rate of burning

So, 0.3 cm/hr = (x - 19.8cm/hr) / 14hr

      0.3 cm/hr x 14hr = x - 19.8cm/hr

so we get x = 24 cm

Now as we got the initial height of the candle now we can get the height (y) after burning for 25 hours.

      0.3 cm/hr = (24cm - y) / 25hr

      0.3 cm/hr x 25hr = 24cm -y

       y = 24cm - 7.5cm = 16.5 cm

So the height of candle after burning for 25 hours is 16.5 cm.

   

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X+x+y+y+z+z=24
JulijaS [17]

Answer:

b = 7/2

x = 11/2

y = 21/2

z = -4

Step-by-step explanation:

2x + 2y + 2z = 24

x + y + z = 12

b + 2x + y + z = 21

2b + 2y = 28

b + y = 14

3x + y + z = 23

we can start anywhere by transforming these equations in a way that always one variable is excised by others.

so, e.g.

b = 14 - y

14 - y + 2x + y + z = 21

2x + z = 7

z = 7 - 2x

3x + y + 7 - 2x = 23

x + y = 16

16 + z = 12

z = -4

-4 = 7 - 2x

-11 = -2x

11 = 2x

x = 11/2

11/2 + y = 16

y = 16 - 11/2 = 32/2 - 11/2 = 21/2

b = 14 - 21/2 = 28/2 - 21/2 = 7/2

3 0
2 years ago
Sam is flying from Columbus, Ohio to Kralendijk, Bonaire, a distance of 2,488 miles. First, he flies 995 miles to Miami, Florida
kogti [31]

Answer:

460 miles

Step-by-step explanation:

Given

Total = 2488 miles

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Required

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Assuming the points are on a straight path.

The remaining distance is:

Remainder = Total - Miami - San Juan

Remainder = 2488 - 995 - 1033

Remainder = 460 miles

4 0
3 years ago
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Alika [10]
In point form (3,-2)
Equation form
8 0
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Nataliya [291]
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andre [41]

Answer:

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3 years ago
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