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Stella [2.4K]
3 years ago
9

Which equation has the same graph as 4x + 8y = 12?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer:

4x + 8y = 12  \\ 4(x + 2y) = 12 \\  \frac{4(x + 2y)}{4}  =  \frac{12}{4}  \\ x + 2y = 3

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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
Please help me, look at the picture I need help... please ​
Umnica [9.8K]

Answer: Funciton A is linear. Its equation is y=1.66~(x) + 0

Step-by-step explanation:

See if this works. I’m not 100% sure!

7 0
2 years ago
Read 2 more answers
If f(x) = 3x²+2 and g(x)=x2-9, find (f- g)(x).
Solnce55 [7]

Answer:

Step-by-step explanation:

Depending on whether or not the g(x) is x^2 or 2x, I have both ways.

If g(x) is x^2 - 9...

--> (3x^2 + 2) - (x^2 - 9) = 2x^2 + 11

If g(x) is 2x...

--> (3x^2 + 2) - (2x - 9) = 3x^2 - 2x + 11

Hope this helps!

4 0
2 years ago
Lara has $1,425 in her bank account. Write and solve an equation to show how much money she started with if that amount reflects
makkiz [27]

1,425 + 14% = 1,425.14

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3 years ago
Estimate the product of 15.217 × 9.54
yawa3891 [41]
The answer will be around 145
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3 years ago
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