Acompany wants to increase the 10% peroxide content of its product by adding pure peroxide (100% peroxide). if x liters of pure peroxide are added to 500 liters of its 10% solution, the concentration, c, of the new mixture is given by
c = x+0.1(500) / x+500.
how many liters of pure peroxide should be added to produce a new product that is 28% peroxide?

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:

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:

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

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:

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

which yields:

Now, we can subtract a 140 from both sides, so we get:

Which yields:

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

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

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: