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A company wants to increase the 10% peroxide content of its product by adding pure peroxide (100% peroxide). If x liters of pure

makvit [3.9K]

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:

$0.28(x+500)=x+0.1(500)$

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:

$0.28-x+140=x-x+50$

which yields:

$-0.72x+140=50$

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

$-0.72x+140-140=50-140$

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.

6 0

3 years ago

The top of a ladder rests at a height of 15 feet against the side of a house. If the base of the ladder is 6 feet from the house

Ksju [112]

90
15 x 6 = 90
You need to multiply

6 0

3 years ago

Read 2 more answers

Hey I’m struggling with number 13 so please show your work. Thx

Dafna11 [192]

Answer:

$\frac{5}{12}$

Step-by-step explanation:

Because $\frac{3}{5}$ is being multiplied by S, we can divide $\frac{3}{5}$ from both sides of the equation. This will give us:

$\frac{1}{4}$ ÷ $\frac{3}{5}$

But, that looks a bit hectic. Instead of dividing, you can multiply by the reciprocal (which is essentially how to divide fractions). So, instead of $\frac{1}{4}$ ÷ $\frac{3}{5}$ , you get:

$\frac{1}{4}$ × $\frac{5}{3}$

When multiplying fractions, remember you can just multiply straight across-- numerator x numerator, then denominator x denominator.

By doing that, you get the fraction $\frac{5}{12}$

$\frac{5}{12}$ cannot be simplified any more, so S= $\frac{5}{12}$ is your answer :)

I hope this helps

6 0

3 years ago

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

podryga [215]

Rate of change refers to moving a certain amount of distance over a certain time period
rate of change= velocity in this case.

7 0

3 years ago

Read 2 more answers

Please help me with this question!

Alina [70]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

∠1 = 180° - (72 + 57)° = 180° - 129° = 51°

The right angle at the left vertex is composed of 72° and ∠2, thus

∠2 = 90° - 72° = 18°

57° and ∠3 form a straight angle and are supplementary, thus

∠3 = 180° - 57° = 123°

∠4 = 180° - (∠2 + ∠3 ) ← sum of angles in a triangle

∠4 = 180° - (18 + 123)° = 180° - 141° = 39°

4 0

3 years ago

/gpf-kuok-frr pls come here ​

/gpf-kuok-frr pls come here