1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Makovka662 [10]
3 years ago
9

A pharmacist has an 18% alcohol solution and a 40% alcohol solution. How much of each should he mix together to make 10 liters o

f a 20% alcohol solution?
Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0
Lets call x the amount of 18% solution and y the amount of 40% solution, and write as equations the info of the problem:
18x + 40y = 10(20)
x + y = 10
lets multiply the second equation by -18 and add to the first:
 18x + 40y = 200
-18x -<span> 18y = -180
</span>----------------------
0 + 22y = 20
y = 20/22 = 10/11
and substitute in the original equation:
x <span>+ y = 10
</span>x = 10 - y
x = 10 - 10/11
x = 110/11 - 10/11
x = 100/11
so they have to use 100/11 liters of 18% solution and 10/11 liters of 40% solution
You might be interested in
For males in a certain town, the systolic blood pressure is normally distributed with a
GREYUIT [131]

Answer:

99.7%

Step-by-step explanation:

Note that 92 and 128 are 3 standard deviations from the mean

The emperical rule or the  68–95–99.7 rule states that 68% of outcomes are wihtin 1 standard deviation from the mean

95% of outcomes are within 2 standard deviations from the mean

99.7% of outcomes are within 3 standard devations from the mean

This is 3 standard deviations so the answer is 99.7

7 0
3 years ago
Help and i will give brainiest if you answer them all if random will report
Stels [109]

Answer:

first one is a and the second one is c

6 0
3 years ago
Read 2 more answers
Please help me with this
yan [13]
ANSWER: 127

The shape has 5 sides so it’s inner angles add to 540°.
from this you can add up the angles shown on the diagram and subtract this from 540
the answer this gives you is 127 :)
6 0
3 years ago
Read 2 more answers
Lim x--&gt; 0 (e^x(sinx)(tax))/x^2
Tom [10]

Make use of the known limit,

\displaystyle\lim_{x\to0}\frac{\sin x}x=1

We have

\displaystyle\lim_{x\to0}\frac{e^x\sin x\tan x}{x^2}=\left(\lim_{x\to0}\frac{e^x}{\cos x}\right)\left(\lim_{x\to0}\frac{\sin^2x}{x^2}\right)

since \tan x=\dfrac{\sin x}{\cos x}, and the limit of a product is the same as the product of limits.

\dfrac{e^x}{\cos x} is continuous at x=0, and \dfrac{e^0}{\cos 0}=1. The remaining limit is also 1, since

\displaystyle\lim_{x\to0}\frac{\sin^2x}{x^2}=\left(\lim_{x\to0}\frac{\sin x}x\right)^2=1^2=1

so the overall limit is 1.

4 0
3 years ago
If you spin the spinner below twice, what is P(vowel, then Q)? A. 1/10 B. 1/9 C. 2/9 D. 1/12 Answer correctly and I will give br
bagirrra123 [75]

Answer:

The probability of spinning a vowel, then Q, is 1/12

Step-by-step explanation:

Find the probability of each event occurring. There are three vowels out of 6 letters and 1 Q, so the chances of spinning a vowel is 3/6 or 1/2 and the chances of spinning a Q is 1/6. Multiply the probabilities of the two events occurring to find the probability of a compound event. 1/2*1/6 = 1/12. Hope this helps!

4 0
4 years ago
Read 2 more answers
Other questions:
  • How to find the general solution to y"'+2y"-4y'-8y=0?
    13·1 answer
  • victor bought 15.6 pounds of paintball all together the balls cost $35.99 about how much did the paintball cost per pound
    9·1 answer
  • Solve for v <br> p=mv <br> Answer choices: <br> M=v/p<br> V=p/m<br> V=m/p<br> M=p/v
    7·2 answers
  • I need help with this question from khan academy
    13·1 answer
  • Need helppppp asappppppp
    11·1 answer
  • So I need some help please
    5·1 answer
  • Find the length of diagonal AV in a three-dimensional figure.​
    8·1 answer
  • Yo i need a lil hellp pls
    8·1 answer
  • What symbol does this stand for *
    8·2 answers
  • Quick algebra 1 question for 50 points!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!