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
stira [4]
3 years ago
6

Two solutions of salt water contain 0.06% and 0.26% salt respectively. A lab technician wants to make 1 liter of solution which

contains 0.11% salt. How much of
each solution should she use?
Amount of 0.06% solution= milliliters
Amount of 0.26% solution=
milliliters
Mathematics
1 answer:
Valentin [98]3 years ago
3 0

Answer:

The volume for the 0.26% is 250 ml and the volume for the 0.06% is 750 ml.

Step-by-step explanation:

In the solution the techinician wants to create there's a total of:

salt = 1*0.11/100 = 0.0011

So the sum of the salt from the other two solutions must be equal to that, since the quantity of salt in each is given by:

salt1 = volume1*0.06/100 = volume1*0.0006

salt2 = volume2*0.26/100 = volume2*0.0026

The sum of the from the two solutions must be equal to the final one:

salt = salt1 + salt2

0.0011 = 0.0006*volume1 + 0.0026*volume2

while the volume of the solutions must be equal to 1 liter:

volume1 + volume2 = 1

If we isolate volume1 on the second equation and replace that on the first one we have:

volume1 = 1 - volume2

0.0006*(1 - volume2) + 0.0026*volume2 = 0.0011

0.0006 - 0.0006*volume2 + 0.0026*volume2 = 0.0011

0.002*volume2 = 0.0011-0.0006

0.002*volume2 = 0.0005

volume2 = 0.0005/0.002 = 0.25 liters = 250 ml

volume1 = 1 - 0.25 = 0.75 liters = 750 ml

The volume for the 0.26% is 250 ml and the volume for the 0.06% is 750 ml.

You might be interested in
Select the correct answer from each drop-down menu.
podryga [215]

Answer with explanation:

\text{Average}=\frac{\text{Sum of all the observation}}{\text{Total number of Observation}}

Average Height of tallest Building in San Francisco

                    =\frac{260+237+212+197+184+183+183+175+174+173}{10}\\\\=\frac{1978}{10}\\\\=197.8

Average Height of tallest Building in Los Angeles

                    =\frac{310+262+229+228+224+221+220+219+213+213}{10}\\\\=\frac{2339}{10}\\\\=233.9

→→Difference between Height of tallest Building in Los Angeles and  Height of tallest Building in San Francisco

               =233.9-197.8

               =36.1

⇒The average height of the 10 tallest buildings in Los Angeles is 36.1 more than the average height of the tallest buildings in San Francisco.

⇒Part B

Mean absolute deviation for the 10 tallest buildings in San Francisco

 |260-197.8|=62.2

 |237-197.8|=39.2

 |212-197.8|=14.2

 |197 -197.8|= 0.8

 |184 -197.8|=13.8

 |183-197.8|=14.8

 |183-197.8|= 14.8

 |175-197.8|=22.8

 |174-197.8|=23.8

 |173 -197.8|=24.8

Average of these numbers

     =\frac{62.2+39.2+14.2+0.8+13.8+14.8+14.8+22.8+23.8+24.8}{10}\\\\=\frac{231.2}{10}\\\\=23.12

Mean absolute deviation=23.12

5 0
3 years ago
Mrs. Backstrom built a small wooden box for her cat. The box has a length of one and one tenth feet, a width of 1.6 feet, and a
likoan [24]

Answer:

\text{Volume of cat box}=3.52\text{ ft}^3

Step-by-step explanation:

We have been given that Mrs. Backstrom built a small wooden box for her cat. The box has a length of one and one tenth feet, a width of 1.6 feet, and a height of 2 feet. We are asked to find the volume of the box.

Let us convert one and one tenth feet into decimal.

1\frac{1}{10}=\frac{11}{10}=1.1

Since the cat box is in form of cuboid, so its volume will be equal to the product of length, width and height as:

\text{Volume of cat box}=1.10\text{ ft}\times 1.6\text{ ft}\times 2\text{ ft}

\text{Volume of cat box}=3.52\text{ ft}^3

Therefore, the volume of the cat box is 3.53 cubic feet.

8 0
3 years ago
How do you find the value of c that satisfy the equation:
victus00 [196]

Answer:

The value of c = -0.5∈ (-1,0)

Step-by-step explanation:

<u>Step(i)</u>:-

Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]

<u> Mean Value theorem</u>

Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that

f^{l} (c)  = \frac{f(b) -f(a)}{b-a}

<u>Step(ii):</u>-

Given  f(x) = 4x² +4x -3 …(i)

Differentiating equation (i) with respective to 'x'

          f¹(x) = 4(2x) +4(1) = 8x+4

<u>Step(iii)</u>:-

By using mean value theorem

f^{l} (c)  = \frac{f(0) -f(-1)}{0-(-1)}

8c+4 = \frac{-3-(4(-1)^2+4(-1)-3)}{0-(-1)}

8c+4 = -3-(-3)

8c+4 = 0

8c = -4

c = \frac{-4}{8} = \frac{-1}{2} = -0.5

c ∈ (-1,0)

<u>Conclusion</u>:-

The value of c = -0.5∈ (-1,0)

         

<u></u>

8 0
3 years ago
A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. Approximately,
Marina CMI [18]

Answer:

Step-by-step explanation:

The missing image is attached below.

From the given information

The number of players is 44.

From the box plot;

The minimum weight = 154 pounds

The first quartile Q₁ = 159 which is 25% of the data below 159 pounds.

The second quartile Q₂ = 213 which is 50% of the data below 213 pounds

The third quartile Q₃ = 253 which is 75% of the data below 253 pounds

The maximum weight = 268 pounds.

Here, the value of 213 is the middle value and which signifies the median.

The 50% of the data are located both on the left side and the right side of the median.

Thus, the percentage of players weighting greater than or equal to 213 pounds is 50%.

7 0
3 years ago
Why are astrologers not considered to be scientists?
Pachacha [2.7K]
The answer is:  [C]:  "Astrologers do not use the scientific method." 
_____________________________________________________
Note:  Choice [A] is incorrect.  Astrologers do use tools.
_____________________________________________________
Choice [B] is incorrect.  Some astrologers do observe the universe.
_____________________________________________________
Choice [D] is incorrect.  Astrologers may or may not go to college; and whether or not they do or do not is irrelevant as regard to whether to they are considered "scientists".
_____________________________________________________
8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the area of a triangle with sides 13 meters, 12 meters, and 5 meters
    8·1 answer
  • Area of a triangle can be found using the formula A = 1/2 bh where B is the base of the triangle and H is the height of the tria
    15·1 answer
  • Help I can not figure this out at all even my older kids tried
    13·1 answer
  • 8. Find equivalent forms of the rational numbers having a common denominator in each
    5·1 answer
  • Is the answer A,B,C or D?
    15·1 answer
  • Solve for y : 6x+y=9 *<br>​
    9·1 answer
  • the regular price of a camera 180.00.the camera is on sale for 25% off the regular price.what is the sale price of the camera in
    11·2 answers
  • Which shapes make up this composite figure?
    14·2 answers
  • Jill wants to make melonade for her family reunion. She needs enough lemonade for 60 people to each have 1 cup. How many gallons
    15·2 answers
  • What is the value of f(-5) ?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!