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2 years ago

8

House painter mixed 5 gallons of blue paint with every 9 gallons of yellow paint in order to make a green paint which ratio of g

allons of blue paint 2 gallons of yellow paint will make the same shade of green paint

1 answer:

SOVA2 [1]2 years ago

4 0

Any ratio equal to 5:9 i.e., 10:18, 15:27, 20:36, etc.

Just multiply 5 and 9 by the same thing.

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Jim writes 10^4 words every day how many words does he writes in 10^3 days?

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1,000 words

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Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

Pepsi [2]

Answer:

Step-by-step explanation:

Two lines are perpendicular if the first line has a slope of $m$ and the second line has a slope of $\frac{1}{-m}$ .

With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:

$5x - 2y = -6$

$-2y = -5x - 6$

$y = \frac{5}{2}x + 3$

We now know that $m = \frac{5}{2}$ for the first line, which means that the slope of the second line is $m = \frac{-2}{5}$ . With this, we have the following equation for our new line:

$y = \frac{-2}{5}x + C$

where $C$ is the Y-intercept that we now need to determine with the coordinates given in the problem statement, $(5, -4)$ :

$y = \frac{-2}{5}x + C$

$(-4) = \frac{-2}{5}(5) + C$

$-4 = -2 + C$

$C = -2$

Finally, we can create our line:

$y = \frac{-2}{5}x - 2$

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$2x + 5y = -10$

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