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Vanyuwa [196]
3 years ago
12

A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for ever

y 5 milliliters of compound B. If a chemist wants to make 680 milliliters of the drug, how many milliliters of compound A are needed?
Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0

Answer:

255 milliliters.

Step-by-step explanation:

The fraction of Compound A in the mixture = 3 / (3+ 5) = 3/8.

So the amount of A to make 680 mls of the drug

= (3/8) * 680

=  255 milliliters.

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Three inches of snow fell on Monday. Five inches of snow fell on Tuesday. One-half inch of snow fell on Wednesday. How much snow
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Step-by-step explanation:

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A tangent line and its normal line have a point of tangency to the function f(x) at (x,y). If the slop of the normal line is m=(
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Answer:

\displaystyle \\\left(\frac{49}{900},\frac{3761}{900}\right) or approximately (0.544, 4.179)

Step-by-step explanation:

A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):

\displaystyle\\f(x)=\sqrt{x}-x+4\\f'(x)=\frac{1}{2}\cdot\frac{1}{\sqrt{x}}-1=\frac{1}{2\sqrt{x}}-1

Set f'(x) equal to 8/7 and solve for x:

\displaystyle \\\frac{1}{2\sqrt{x}}-1=\frac{8}{7},\\x=\frac{49}{900}

Therefore, f(x) will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into f(x) to get the y-coordinate:

\displaystyle\\y=\sqrt{x}-x+4 \vert_{x=49/900}=\frac{3761}{900}

⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)

5 0
2 years ago
Please help ASAP!! BRAINLIEST to best answer
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25+1=26
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3 years ago
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