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katrin [286]
3 years ago
9

A pharmacist wishes to mix a solution that is 6% Minoxidil. She has on hand 100 ml of a 2% solution and wishes to add some 8% so

lution to obtain the desired 6% solution. How much 8% solution should she add?
She should add
ml.
Mathematics
1 answer:
son4ous [18]3 years ago
6 0

Answer:

200 ml

Step-by-step explanation:

It's proportions basically.

frst off, 2% of 100 ml is 2 ml, so the 100 ml solution has 2 ml of Minoxidil.

Eventually we want 6/100 to be the porportion.  so the total is going to be 100 (from the initial 100 ml) plus however much is needed x.  And we want the amount of Minoxidil to be 2 + 8 percent of x.  so this gets us the equation

6/100 = (2 + .08x)/(100+x)  Then we solve

(100 + x) 6/100 = 2 + .08x

(100 + x) 6 = 200 + 8x

600 + 6x = 200 + 8x

400 = 2x

x = 200

so they should add 200 ml

You can check too.  there is 100 + 200 ml of solution total and 2 + 16 ml of Minoxidil so that's 18/300 = 6/100

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Find the 7th term of the geometric sequence a3 =128,r=-1/4
kenny6666 [7]

Answer:

Step-by-step explanation:

The general formula for this sequence is a(n) = a(1)*(-1/4)^(n - 1).  We don't yet know a(1).

If a(3) = 128, then 128 = a(1)*(-1/4)^(3 - 1), or

128 = a(1)*(1/16)

and so a(1) = 128/16

resulting in the specific formua a(n) = 8(-1/4)^(n - 1)

Now let's find a(7):

a(7) = 8(-1/4)^1 * (-1/4)^(6)

or

a(7) = 8(-1/4)^7

7 0
3 years ago
Determine the number of possible outcomes when tossing one coin ,two coins ,and three coins then determine the number of possibl
m_a_m_a [10]

Number of possible outcome for tossing N coins = 2^N

Solution:

Possible outcomes when tossing one coin = {H, T}

Number of possible outcomes when tossing one coin = 2 =2^1

Possible outcomes when tossing two coins = {HH, HT, TH, TT}

Number of possible outcomes when tossing two coins = 4 =2^2

Possible outcomes when tossing three coins

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Number of possible outcomes when tossing three coins = 8 =2^3

Therefore, the sequence obtained is 2^1, 2^2, 2^3.

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7 0
2 years ago
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kogti [31]

Answer:

A & C

Step-by-step explanation:

The equation for a circle is (x – h)^2 + (y – k)^2 = r^2, with the center being at (h,k). On the x-axis would mean the x coordinate would equal 0, therefore A and C are your answers.

Hope I helped! :)

7 0
3 years ago
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balandron [24]

Answer:

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Step-by-step explanation:

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jekas [21]
To create a perfect square trinomial, halve the x coefficient, square it, and then add that value.

In the case of x² + 6x, we would have 6 to get 3, then square 3 to get 9.
We would add 9 to make a perfect square trinomial.
<u>
</u><u>Why this works</u>
A perfect square trinomial is designed to factor to some value (x+n)².
When you FOIL this you get x² + 2nx + n².
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