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WINSTONCH [101]
3 years ago
5

Which of the ordered pairs is a solution to the system of inequalities? y > 5 y ≥ x (0, 0) (4, 5) (-5, 4) (-5, 6)

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0

Plug the y value in for y and plug the x value in for x

> less than

<u>></u> less than or equal to

Example:

(4,5)

y > 5y <u>></u> x

5 > 5x5 <u>></u> 4  =  5 > 25 <u>></u> 4  =  false

they all should be false

if one had to be correct, I would say (0, 0)

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Answer:

There should be 125 litters of pure peroxide added to produce a new product that is 28% peroxide.

Step-by-step explanation:

The problem provides us with an equation we can use to find the concentration C of the new mixture, which is:

C=\frac{x+0.1(500)}{x+500}

which will give us the concentration C as a decimal number.

We are interested in getting a concentration of 28%, which is written as 0.28 in decimal form. This is our C.

Now we can substitute it into the equation:

0.28=\frac{x+0.1(500)}{x+500}

and now we can solve for x. We can start by multiplying both sides of the equation by (x+500) so we get:

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Next, we can distribute dhe 0.28 on the left of the equation and we can also multiply the 0.1(500) on the right side, so we get:

0.28x+140=x+50

so now we can subtract an x from both sides so we get:

0.28-x+140=x-x+50

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Which yields:

-0.72x=-90

and finally we can divide both sides into -0.72 so we get:

\frac{-0.72x}{-0.72}=\frac{-90}{-0.72}

x=125lt

So we need to add 125 litters of pure peroxide to produce a new product that is 28% peroxide.

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