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Illusion [34]
2 years ago
12

In Chemistry class, Samantha finds that she can make a certain solution by mixing 0.04 liters of chemical A with 0.02 liters of

water (this gives her 0.06 liters of the solution). She wants to make a total of 0.48 liters of this new solution. To do so, how many liters of water will she use?
Mathematics
2 answers:
Jet001 [13]2 years ago
8 0

Answer:

  0.16 liters of water

Step-by-step explanation:

Samantha's recipe makes 0.06 liters of solution. She wants 0.48 liters of solution, an amount 0.48/0.06 = 8 times as great as made by one recipe.

The recipe calls for 0.02 liters of water. To make 8 times the amount of solution, Samantha will use 8 times as much water: 0.16 liters.

Samantha will use 0.16 liters of water to make 0.48 liters of solution.

__

Alternate solution

The fraction of solution that is water is (0.02 L)/(0.06 L) = 1/3. For 0.48 L of solution, the water needed is 1/3×0.48 L = 0.16 liters.

aalyn [17]2 years ago
4 0

Answer:

0.16L

Step-by-step explanation:

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Jet001 [13]

Answer:

The vertex form of the equation is y = -\frac{1}{3}( x-1)^{2} +1.

Step-by-step explanation:

You will use the equation y=a(x-h)^{2} +k to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get y= a(x - 1)^{2} +1.

Then, we substitute the point as our x and y to get -2 = 9a+1 (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the 9a to get 9a = 3. Finally, divide by 9 on both sides to get a=\frac{1}{3}.

Now, substitute your a back into the equation to get y = -\frac{1}{3}(x-1)^{2}+1.

This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}.

5 0
3 years ago
What is 1 7/8 • 5/6<br> And 2 1/3 • 5/16
m_a_m_a [10]

Answer:

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Step-by-step explanation:

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Next, multiply 2 1/3 by 5/16.  This is equivalent to multiplying 7/3 by 5/16, and the result of this multiplication is 35/48.

Now combine 75/48 and 35/48, obtaining 110/48, or 55/24.


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