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aev [14]
2 years ago
14

A pharmacist wishes to mix a solution that is 4% Minoxidil. She has on hand 90 ml of a 1% solution and wishes to add some 6% sol

ution to obtain the desired 4% solution. How much 6% solution should she add?
Mathematics
1 answer:
Yakvenalex [24]2 years ago
4 0

Step-by-step explanation:

remember, 1% = 1/100 = 0.01

4% = 0.04

6% = 0.06

so, we have to find the solution for

90×0.01 + x×0.06 = (90+x)×0.04

with x being the amount needed of the 6% solution.

90×0.01 + x×0.06 = 90×0.04 + x×0.04

90×0.01 + x×0.02 = 90×0.04

x×0.02 = 90×0.03

x = 90×0.03/0.02 = 135 ml

so, we need to add 135 ml of the 6% solution to get in total a 4% solution (90+135 = 225 ml of that).

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Simplify the following expression. 4a^-2b<br><br> A.) b/4a^2<br> B.)4b/a^2<br> C.)1/4a^b2
Sergio [31]
ANSWER

The correct answer is B

\frac{4b}{ {a}^{2} }


EXPLANATION

The given exponential expression is

4 {a}^{ - 2} b

We can rewrite this as,

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We need to simplify to obtain a positive index, so we apply the following property,


{a}^{ - m}  =  \frac{1}{ {a}^{m} }

This implies that,


4b \times  {a}^{ - 2}  = 4b \times  \frac{1}{ {a}^{2} }

This will finally simplify to,

4b \times  {a}^{ - 2}  =\frac{4b}{ {a}^{2} }


Therefore the correct answer is B
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Nikolay [14]
First, you would create an equation for this problem. 
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Next, you would cross multiply. 
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Now, you would isolate the x. To do this, you would divide both sides by 15. 
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I hope this helps!
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