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
bekas [8.4K]
3 years ago
10

How much of 10% HCl and 35% HCl would be needed to mix and produce 60 liters of 25% HCl?

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
8 0

Answer:

about 36 and 24 liters  

Step-by-step explanation:

    a+b = 60     1

let A multiplied by  10 percent and B multiplied by 35 percent then

  10 a + 35 b = 1500 ( 60 * 25 ) 2

add no. 1 to 2 and multiply no.1  by -10

-10 a+ -10 b = -600

10 a+ 35 b = 1500  adding

then     25 b = 900 then         b = 36 liter

then     a = 24 liter    

     

puteri [66]3 years ago
5 0

Answer:

<em>Equation: </em>

<em>HCL + HCL = HCL </em>

<em><u>0.30x + 0.45(50-x) = 0.35*50 </u></em>

<em><u>Multiply thru by 100 to get: </u></em>

<em><u>30x + 45*50 - 45x = 35*50</u></em>

<em><u>-15x = -10*50 </u></em>

<em><u>x = (2/3)50 </u></em>

<em><u>x = 33 1/3 liters (amt. of 30% solution needed in the mixture) </u></em>

<em><u>50-x = 16 2/3 liters (amt. of 45% solution needed in the mixture) </u></em>

=============

Step-by-step explanation:

You might be interested in
Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
Rama09 [41]

You can see how this works by thinking through what's going on.

 

In the first year the population declines by 3%.  So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200.  3% of 1200 is the same as .03 * 1200.  So the population at the end of the first year is 1200 - .03 * 1200.  That can be written as 1200 * (1 - .03), or 1200 * 0.97

 

What about the second year?  The population starts at 1200 * 0.97.  It declines by 3% again.  But 3% of what???  The decline is based on the population at the beginning of the year, NOT based no the original population.  So the decline in the second year is 0.03 * (1200 * 0.97).  And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year.  So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.

 

So there's a pattern.  If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.

 

So the population after x years is 1200 * 0.97x

5 0
3 years ago
The function f is defined by the following rule.
Leno4ka [110]
X= -4; f(x)= -15
X= 2; f(x)= 3
X=5; f(x)= 12
6 0
3 years ago
After surveying 100 parents, researchers concluded that 90 percent of babies can walk by the age of 10 months. Why is this an in
Maru [420]

This is an inappropriate conclusion because of <u>D. At 10 months</u>, ninety percent of toddlers have not reached the developmental milestones to walk.

<h3>What is an inappropriate conclusion?</h3>

An inappropriate conclusion is one arrived at without a proper research design.  An inappropriate conclusion can also be reached when the interpretation of the research result is not based on the findings.

Our conclusion implies that there is a wrong interpretation of the research findings because of the researcher's bias.

Thus, the research conclusion is <u>inappropriate</u> because of Option D.

Learn more about research conclusions at brainly.com/question/24542637

3 0
2 years ago
the manager of a symphony computes that the symphony will earn -40p^2+1100p dollars per concert if they charge P dollars for tic
cluponka [151]

Answer:

$7,562.5

Step-by-step explanation:

Given the function of the profit earned expressed as;

<em>f(p) =-40p^2+1100p</em>

To maximize the profit, df(p)/dp must be sero

df(p)/dp = -80p + 1100 = 0

-80p + 1100 = 0

-80p = - 1100

p = 1100/80

p = 13.75

Substitute p = 13.75 into the function

f(13.75) =-40(13.75)^2+1100(13.75)

f(13.75) = -7,562.5+15,125

f(13.75) = 7,562.5

Hence the symphony should charge $7,562.5 to maximize the profit.

5 0
3 years ago
Let x^2+15x=49
Slav-nsk [51]
<span>x^2 + 15x + 56.25 = 105.25

    "Completing the square" is one of many different techniques for solving a quadratic equation. What you do is add a constant to both sides of the equation such that the lefthand side can be factored into the form a(x+d)^2. For instance, squaring (X+D) = X^2 + 2DX + D^2. Notice the 2DX term. That is the same term as the 15x term in the problem. So 2D = 15, D = 7.5. And D^2 = 7.5^2 = 56.25.
So we have
 x^2 + 15x + 56.25 = 49 + 56.25
 Which is
 x^2 + 15x + 56.25 = 105.25
  Which is the answer desired.

   Now the rest of this is going beyond the answer. Namely, it's answering the question "Why does complementing the square help?" Well, we know that the left hand side of the equation can now be written as
 (x+7.5)^2 = 105.25

   Now take the square root of each side
 (x+7.5) = sqrt(105.25)

   And let's use both the positive and negative square roots.
So x+7.5 = 10.25914226
 and
 x+7.5 = -10.25914226

   And let's find X.
 x+7.5 = 10.25914226
 x = 2.759142264

   x+7.5 = -10.25914226
 x = -17.75914226

   So the roots for x^2 + 15x - 49 is 2.759142264, and -17.75914226</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which equation has a constant of proportionality equal to 1? A. y=10/11x B. y= 7/8x C. y= 3/15x D. y=x
    9·1 answer
  • 2. If you have budgeted 12% of your monthly income for groceries, how much can you spend on groceries if you earn $950 bi-weekly
    9·1 answer
  • 3) x2+ y2 - x + 3y - 42 = 0<br> X+y=4
    5·1 answer
  • Can someone please help me with this problem
    11·1 answer
  • 11 2/7% to fraction
    14·1 answer
  • Kristin has 4 more headbands than Nikki does.
    13·2 answers
  • The purpose of this unit has been to learn about new topics in statistics?
    14·1 answer
  • Which expression is equivalent to
    6·2 answers
  • If you have 440 red and blue buttons predict how many would be red.
    9·2 answers
  • A=(1)/(2)h(b_(1)+b_(2)) solve for h
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!