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bulgar [2K]
3 years ago
11

If there are 400 cubic centimeters of a chemical in 1 liter of solution, how many cubic centimeters of water must be added to di

lute it to a 25% solution?
Mathematics
1 answer:
mars1129 [50]3 years ago
5 0
1l=1dm^3\\1dm=10cm\to1dm^3=(10cm)^3=1000cm^3\\\\1l=1000cm^3\\-------------\\  \begin{array}{ccc}400cm^3&-&25\%\\1000cm^3+x&-&100\%\end{array}\\cross\ multiply\\25(1000+x)=400\times100\\25000+25x=40000\ \ \ \ \ |subtract\ 25000\ from\ both\ sides\\25x=15000\ \ \ \ |divide\ both\ sides\ by\ 25\\\boxed{x=600\ (cm^3)}\\\\Answer:Must\ be\ added\ 600cm^3\ of\ water.
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Write the equation of a line in Slope Intercept Form that passes through (−2,3) and has a slope m=4.
Vladimir [108]

The slope is already given in the question so we can find the y-intercept.

Slope-intercept form: y = mx + b

3 = 4(-2) + b

3 = -8 + b

3 + 8 = -8 + b + 8

11 = b

Now, we can write the equation.

y = 4x + 11

Best of Luck!

4 0
3 years ago
Evaluate.
Daniel [21]

Answer:

  d)  192

Step-by-step explanation:

Your calculator can do this for you.

Or, you can simplify to

  12\cdot\dfrac{4^{-2}}{4^{-4}}=12(4^{-2+4})=12(4^2)=192

3 0
3 years ago
543,982 rounded to the nearest hundred thousand
Bezzdna [24]

Hello! :)

543,982 rounded to the nearest hundred thousand would be 500,000. Because the digit 4 is less than 5, it would be 600,000. If the digit where the 4 is was 5 or more, it would round to 600,000,

543,982 to the nearest hundred is 500,000.

Hope this helped you!

THEDIPER

3 0
3 years ago
Read 2 more answers
Omar makes a total of $51.75 selling brownies and muffins at a bake sale if he sells 16 brownies for $2.25 each how many muffins
telo118 [61]

Answer:

He can make 9 Muffins

Step-by-step explanation:

16*2.25=36

51.75 - 36=15.75  Subtract the total number of selling he made by how much he made with the brownies

15.75/1.75=9 Divide the number you got after subtracting by by how many he  is going to sell each of then

8 0
3 years ago
A company offers a flood insurance policy that costs a homeowner $200 per year, and the company will make a payout of $100,000 t
wel

Answer:

σX​ = 3161

Step-by-step explanation:

The standard deviation is the square root of the multiplication of each probability multiplied by the squared difference between the values and the mean.

In this question:

\sigma X = \sqrt{0.999*(200-100)^2 + 0.001*(-99800-100)^2} = 3160.7

Rounding to the nearest dollar, σX​ = 3161

7 0
3 years ago
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