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3 years ago

Cuánto le falta a 1/4 para llegar a 4/5

Mathematics

1 answer:

german3 years ago

6 0

Answer:

4/5 - 1/4

Step-by-step explanation:

4/5 =0.8

1/4=0.25

⇒0.8 - 0.25 = 0.55 (decimal form)

⇒4/5 - 1/4 = 11/20 (exact form-fraction)

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Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.

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Suppose that the height (in centimeters) of a candle is a linear function of

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Let x be the amount of time in hours

Let y be the heoght of a candle in centimeters

The two points are then as (9,24.5) and (23,17.5).

$\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(9,\:24.5\right)\mathrm{,\:}\left(23,\:17.5\right)$

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

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$m=\frac{17.5-24.5}{23-9}$

$m=-0.5$

$\mathrm{Plug\:the\:slope\:}-0.5\mathrm{\:into\:}y=mx+b$

$y=\left(-0.5\right)x+b$

$\mathrm{Plug\:in\:}\left(9,\:24.5\right)\mathrm{:\:}\quad \:x=9,\:y=24.5$

$24.5=\left(-0.5\right)\cdot \:9+b$

$-4.5+b=24.5$

$b=29$

$\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=-0.5\mathrm{\:and\:}\mathbf{b}=29$

$y=-0.5x+29$

Now plug in x=21, we get

$y=-0.5*21+29=18.5$

Thus the height of the candle after 21 hours is 18.5 centimeters.

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Cuánto le falta a 1/4 para llegar a 4/5​

Cuánto le falta a 1/4 para llegar a 4/5