Multiply. Write your answer as a fraction in simplest form.<br> Three divided by sixteen times six

14 + 2y - 3+ 7x - 12y +3x - 20=

Trava [24]

Answer:

The answer is 10x - 10y - 9

Step-by-step explanation:

14 - 3 - 20 = -9

2y - 12y = -10y

7x + 3x = 10x

14 + 2y - 3 + 7x - 12y + 3x - 20 = 10x - 10y - 9

4 0

3 years ago

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

natka813 [3]

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

the amount of time (in hours) it has been burning.

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).

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

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

$\left(x_1,\:y_1\right)=\left(9,\:24.5\right),\:\left(x_2,\:y_2\right)=\left(23,\:17.5\right)$

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

$m=-0.5$

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

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

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

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

$-4.5+b=24.5$

$b=29$

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

$y=-0.5x+29$

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.

7 0

3 years ago

Trina said $1.05+$2.25 =$3.75 because a dollar and 2 quarters plus 2 dollars and a quarter equals 3 dollars and 3 quarters. Do y

tatuchka [14]

Answer:it is approximately 4 dollars and 6 cents

Step-by-step explanation:

3 0

3 years ago

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Please answer this correctly

SCORPION-xisa [38]

Answer:

1. <B, <A, <C

2. <E, <D, <F

Step-by-step explanation:

Recall: the longest side of a triangle would be opposite the largest angle, while the shortest side of a triangle would be opposite the smallest angle.

1. <B is opposite the shortest side, 3 (smallest angle)

<A is opposite the medium side, 4 (medium angle)

<C is opposite to the largest side, 5 (largest angle)

Therefore, the angles in ascending order would be:

<B, <A, <C

2. <E is opposite the shortest side, 5 (smallest angle)

<D is opposite the medium side, 6 (medium angle)

<F is opposite to the largest side, 7 (largest angle)

Therefore, the angles in ascending order would be:

<E, <D, <F

6 0

3 years ago

What is the area of the figure in square feet?

strojnjashka [21]

Answer:

42/100. Simplified would be 21/50]

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Multiply. Write your answer as a fraction in simplest form. Three divided by sixteen times six