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
Scorpion4ik [409]
3 years ago
12

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:
ladessa [460]3 years ago
3 0
X = amount of the 18% solution

y = amount of the 40% solution

we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%?  well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.

likewise, how many liters are there in the 40% solution?  well, (40/100) * y, or 0.4y, that many.

we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that?  well, (20/100) * 10, or 2 liters.

\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{alcohol~\%}{quantity}&\stackrel{liters}{alcohol}\\
&------&------&------\\
\textit{18\% solution}&x&0.18&0.18x\\
\textit{40\% solution}&y&0.40&0.4y\\
------&------&------&------\\
mixture&10&0.20&2
\end{array}

\bf \begin{cases}
x+y=10\implies \boxed{y}=10-x\\
0.18x+0.4y=2\\
----------\\
0.18x+0.4\left( \boxed{10-x} \right)=2
\end{cases}
\\\\\\
0.18x-0.4x+4=2\implies -0.22x=-2
\\\\\\
x=\cfrac{-2}{-0.22}\implies x=\cfrac{100}{11}\implies x=9\frac{1}{11}

how much of the 40% solution?  well y = 10 - x
You might be interested in
Can someone explain division of polynomials to me please.
kykrilka [37]

Answer: Division of Polynomials is just like the long division  that most of us despise but this division is with Variables

Step-by-step explanation:

Example

With whatever equation you have you will

  • First: set up the division putting the dividend inside the divisor outside and to the left
  • Second: Ignore everything past the leading terms and just focus on the leading _ of the divisor and the leading _ of the dividend (just like in regular long division.
  • Thirdly: Take whatever is on top and multiply is by the divisor {What is on the side} carry the result underneath put it exactly below the number from the dividend
  • Fourth: Multiply the number that is on top by the number that is on the side, carry what is on the side underneath putting it below the other dividend.
  • Fifth: Do the subtraction
  • Sixth To subtract change all the signs in the second line, then add down.
  • Next: Carry down that last term from the dividend
  • From there you multiply and then add down again and you should be left with the answer....

If this was to many words let me know and I will upload a picture and explain with a real equation.

3 0
3 years ago
the mean sale per customer for 40 customers at a grocery store is $23.00, with a standard deviation of $6.00. Apply Chebyshev's
Lunna [17]
The answers is 75%x40=0.75x40=30
7 0
3 years ago
Will mark you brainliest for the best answer! Find the exact length of arc ADC . In your final answer, include all of your calcu
nevsk [136]

Answer:

360 whole circle minus the 60 you don't want =300

Step-by-step explanation:

4 0
2 years ago
SIMPLY FIND THE DERIVATIVE. I'M LAZY.
SIZIF [17.4K]

Answer:

3, 2, 8, 3, -12

Step-by-step explanation:

d(2x⁴ - 6x²)³/dx

= 3(2x⁴ - 6x²)²(8x³ - 12x)

6 0
3 years ago
Read 2 more answers
When markups are based on the selling price, the selling price is
zhannawk [14.2K]
The answer is D. 100%
Markup is the amount added to the total cost of product to cover the total overheads and profit.
In markup based on selling price method, the selling price is considered as the endpoint that companies wanted to achieve, (100%) and the markup will be adjusted to cater into thaat equation.

4 0
3 years ago
Other questions:
  • Determine the perimeter and area of the unshaded portion of the figure below, given
    8·1 answer
  • Please help it in fraction form
    12·1 answer
  • Billy rides his bike he records his time and distance each time he stops for a break how many miles will billy have traveled is
    10·1 answer
  • Sally had seventy - seven dollars to spend on eight books. After buying them she had thirteen dollars. How much did each book co
    5·1 answer
  • PLZ HURRY IT'S URGENT!!!!
    13·3 answers
  • What is 4 1/2 - 3 5/4 = but don’t find the quotient I need an estimate!!?
    9·1 answer
  • Which statement is true regarding Table G and Table H?
    13·1 answer
  • Someone PLEASE HELP ME! I NEED THIS REALLY BAD!!!
    11·1 answer
  • Three fifths of the automobiles entering the city each morning will be parked in city parking lots. These cars fill 3654 parkin
    15·1 answer
  • Erika and Bradley want to hike the Big Cypress Trail. They will hike a total of 71 miles.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!