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2 years ago

14

Trent added water to a pool. It took 3 minutes to add 9 gallons of water. How long would it take to add 18 gallons of water to t

he pool. Complete the table.

1 answer:

Temka [501]2 years ago

8 0

Answer:

6 minutes

Step-by-step explanation:

Set up the proportion as these two fractions equal to each other

9/3 = 18/x

2. Cross multiply so that 9*x=18*3

3. 9x=54, so now you divide 54 by 9

and this will give you

4. x= 6, so it will take 6 minutes to fill

up the 18 gallon pool

Hope this helped!

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What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE

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The equation of a line is:

$2y+3x=10$

The line is dilated by factor 3.

To find:

The result of dilation.

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The equation of a line is:

$2y+3x=10$

For $x=0$ ,

$2y+3(0)=10$

$2y+0=10$

$y=\dfrac{10}{2}$

$y=5$

For $x=2$ ,

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$2y+6=10$

$2y=10-6$

$2y=4$

Divide both sides by 2.

$y=\dfrac{4}{2}$

$y=2$

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

$(x,y)\to (3x,3y)$

Using this rule, we get

$A(0,5)\to A'(3(0),3(5))$

$A(0,5)\to A'(0,15)$

Similarly,

$B(2,2)\to B'(3(2),3(2))$

$B(2,2)\to B'(6,6)$

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

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$y-15=\dfrac{-3}{2}x$

Multiply both sides by 2.

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$2y+3x=30$

Therefore, the equation of the line after the dilation is $2y+3x=30$ .

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