Employees at a medical supply company are mixing saline solution for use in IVs. They start with 50 liters of 12% solution. To this, they plan to add 10% solution. How many liters of the 10% solution should they add in order to obtain a finished product that is 11% saline?

Answers

Answer 1

Answer:

50 liters of the 10% solution should be added

Step-by-step explanation:

Here, we want to calculate the number of liters of the 10% solution that should be added

Let the number of 10% solution to be added be x liters

So total liters is now x + 50

Thus;

50 liters of 12% + x liters of 10% = (x + 50) liters of 11 %

Hence

12/100 * 50 + 10/100 * x = 11/100 * (x + 50)

0.12(50) + 0.1(x) = 0.11(x + 50)

6 + 0.1x = 0.11x + 5.5

6 - 5.5 = 0.11x - 0.1x

0.5 = 0.01x

x = 0.5/0.01

x = 50


Related Questions

Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
x² - y²

Answers

Answer:

-3

Step-by-step explanation:

-1*-1=1

2*2=4

1-4

=-3

Al terminar una obra tres albañiles cobran $16800 y se dividen el dinero a razón 5:7:9. Calcular cuánto dinero le corresponde a cada uno. Nota: colocar las cantidades de menor a mayor separadas únicamente por comas. Recuerda que no debes colocar unidades

Answers

Answer:

$4000, $5600 and $7200

Step-by-step explanation:

Let the money be 5x,7x and 9x.

Total collection of money is $16,800

ATQ,

5x+7x+9x=$16,800

21x=$16,800

[tex]x=\dfrac{16800}{21}\\\\x=\$800[/tex]

So, the values are :

5x=5(800) = $4000

7x=7(800) = $5600

9x=9(800) = $7200

18-4y=42 help, please?

Answers

18-4y=42

4y = 18-42

4y=-24

y = - 6

The graph of y = 4 – StartRoot 2 x EndRoot is shown.

On a coordinate plane, a curved line approaches the grid line at (3, 1.5) and ends at (0, 4).

Which statement about the graph is accurate?

The x-intercept of the graph is (4, 0).
The graph has no y-intercepts.
The maximum of the graph occurs at the y-intercept.
The minimum of the graph occurs at the x-intercept.

Answers

Answer:

c

Step-by-step explanation:

its the only answer that makes sense

Answer:

C

Step-by-step explanation:

it makes complete 100% sense

What is the slope of a line that passes through points (2, 4) and (8, 22)???????

Answers

Answer:

The slope is 1/3

Step-by-step explanation:

2-8/4-22

-6/-18

1/3

Mr. Torres took his students to the dolphin show. Each row in the stadium had 9 seats. One adult sat at each end of a row, and each group of 3 students was seated between 2 adults. Mr. Torres sat by himself. How many adults were there? gr4ch02l09pg08451 There were adults including Mr. Torres.

Answers

Answer:

There were 4 adults; including Mr. Torres

Step-by-step explanation:

- Each row in the stadium had 9 seats

- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)

- The arrangement of the students and the adults who sat with them on same row is:   A  S  S  S  A  S  S  S  A

              1   2  3  4  5  6  7  8  9

since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.

So the total number of adults that were present = 3 + 1 = 4

PLEASE HELP ME !!!!!!!!!! O///O
Write an equation that has a slope of 4 and a y-intercept of (0,1).

Answers

Answer:

y=4x+1

Step-by-step explanation:

I’m guessing the equation needed to be in the y=Mx+b form. If so, m is your slope and b is your y-intercept.

Answer:

y - 1 = 4 ( x - 0 )

Step-by-step explanation:

point slope form

Select the correct answer.
In which direction must the graph of fx) = x be shifted to produce the graph of g(x) = x-6?
OA.
down
OB.
up
OC.
neither up nor down
OD
up and down

Answers

Answer:

it moves down

Step-by-step explanation:

for the graph originally f(x)=x and subtract 6 from it, it will move 6 units down, and to find the new coordinate you subtract 6 in y so (x , y-6)→for the new coordinate.

NOTE: if the graph added to 6 it will move up 6 units.

Liz is shipping a present to her friend. The shipping company charges one fee for the box, and another fee depending on the weight of the package. She pays $2 for the shipping box. The package weighs 9 pounds. If liz paid a total of $38, how much does the company charge per pound?

Answers

Answer:

$4 per pound

Step-by-step explanation:

given data

let the total charge be y

and let the number of pound be n

also let the charge per pound be p

we know that the expression for the total charges is given as

y=2+np

given that

y=$38

n=9

the expression the charges is now

38=2+9p

solving for p we have

38-2=9p

36=9p

p=36/9

p=4

therefore she is charged $4 per pound

What is the domain for a continuous function

Answers

Answer: the third one

Step-by-step explanation: C

C. All real Values of x except x=_3
Hope this helps :)

I need help please.
M a t h

Answers

Answer:

option 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here are the conditions.

The car must go at least 55 mph. That means that 55 is included. Use ≥

The car's speed must be greater than 55. That means s>55 Notice the open end of the arrow is towards the s. The point is towards 55. The large end must be towards the largest entity (s in this case).

The answer uses ≥

The answer is s ≥  55

At the beginning of a snowstorm, Madeline had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Madeline have on her lawn 5 hours after the snow began to fall? How much snow would Madeline have on her lawn after
t
t hours of snow falling?

Answers

Answer:

y= 11+t.05. t= hours of snow

-------------------

y= 11 + 5 (.05)

y= 11 + 2.5

y= 13.5

if ray XV is parallel to line LR, measurement of angle 2 = 2n-4 and measurement of angle 3 = n+1. find the value of n.

Answers

I solved the question using the condition that ray XV is perpendicular (not parallel) to line LR, as shown in the image.

Answer:

n=31°

Step-by-step explanation:

If ray XV is perpendicular to line LR, then the four angles they form are equal to 90°.

We can see that angles 2 and 3 form a right angle, or:

[tex]m\angle 2 + m\angle 3=90^\circ[/tex]

We are also given that:

[tex]m\angle 2=2n-4[/tex]

[tex]m\angle 3=n+1[/tex]

Substituting (get rid of the units):

[tex]2n-4+n+1=90[/tex]

Joining like terms:

[tex]3n-3=90[/tex]

Adding 3:

[tex]3n=90+3=93[/tex]

Solving:

[tex]n=93/3[/tex]

n=31°

Select the expression that is equivalent to 4x2 – 25.
Help

Answers

Answer:

Factor form: (2x-5)(2x+5)

If you olny simplify: 8x-25

Step-by-step explanation:

The answer is simple it goes into the negatives so 4x2 is 8 and -25 goes into the negatives so the answer would be -17

What is the reflection?

Answers

Answer:

u' = (-1, -4) , v' = (2, -4), w' = (2, -7)

Step-by-step explanation:

what’s the quotient of -21/-3?

Answers

Answer:

7

Step-by-step explanation:

When dividing two negative numbers, the negatives cancel out, leaving you with simply 21/3. As you probably know, 21/3 is 7.

Difficult one for me: Geometry!

Answers

Answer:

what is your question here??

In the book,the distance between two planets is given as 4.07×10^¹² kilometres. The speed of light is 1.1×10^⁹ kilometres per hour. Calculate the time taken for light to travel from one of these planets to the other. Give your answer in days and hours.

Answers

Answer:

3700hours

154days

Step-by-step explanation:

Speed can be defined as the distance cover per time, it can be expressed as

Speed= distance/ time........eqn(1)

Given:

distance between two planets= 4.07×10^¹²

speed of light = 1.1×10^⁹ kilometres per hour

Time= ??

Then substitute the values into equation (1) we have

Speed= distance/ time

1.1×10^⁹ kilometres per hour= 4.07×10^¹²kilometre/ time

Cross multiply, we have

Time= (4.07×10^¹²kilometre) /(1.1×10^⁹ kilometres per hour)

Time= 3700hours.

To convert to day, we know that

60 minute= 1hour

24hour=1day

Time= (3700hour×1day)/24hour

Time= 154days approximately.

Hence, the time taken for light to travel from one of these planets to the other is 154days or 3700hours

Choole a line m that passes through point, P, and is parallel to linel.

Answers

Answer:

c

Step-by-step explanation:

Order each group of numbers from least to greatest. 1. 4, π, 8 2. 5, 173, π+ 2 ________________________________________ ________________________________________ 3. 2, 1.7, −2 4. 2.5, 5, 32 ________________________________________ ________________________________________ 5. 3.7, 13, π+ 1 6. 54, π− 2, 52 ________________________________________ ________________________________________

Answers

Answer:

1. π, 4, 8

2. 5, π + 2, 173

3. -2, 1.7, 2

4. 2.5, 5, 32

5. 3.7, π + 1, 13

6. π - 2, 52, 54

Step-by-step explanation:

π = 3.1415

Determine the measure of ∠Z. images attached

Answers

Answer:

The answer is option D

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Z

To find the value of ∠Z we use tan

We have

[tex] \tan(∠Z) = \frac{28}{25} \\ ∠Z = { \tan }^{ - 1} \frac{28}{25} \\ ∠Z = 48.239700...[/tex]

We have the final answer as

48.24°

Hope this helps you

Answer:

the answer is B)41.76

Step-by-step explanation: I took the test

Do yall know what 4 1/2÷6 is?

Answers

Answer:0.75

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

i like to turn them into improper fractions

4 and 1/2 is 9/2

6 is 6/1

to divide fractions, multiply by the reciprocal

6/1 flipped is 1/6

then multiply

9/2 x 1/6 = 9/12

simplify

3/4

The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10.50. The auditorium
can hold no more than 110 people. The drama club must make no less than $840
from ticket sales to cover the show's costs. If x represents the number of student
tickets sold and y represents the number of adult tickets sold, write and solve a
system of inequalities graphically and determine one possible solution.

Answers

Answer:

Inequality 1) y≤110−x; shade down

Inequality 2) y≥80− -2/3x; shade up

Possible solution: (40,60)​

*The drama club could sell 40 student tickets and 60 adult tickets.

Step-by-step explanation:

Hope I helped ;)

Solution is image 1.

One possible solution is = (0, 100).

Given that:

x represents the number of student  tickets sold and

y represents the number of adult tickets sold.

According to the question:

[tex]x+y\le110\\7x+10.50y\ge840[/tex]

Using a graphing calculator the graph is: image 1.

One possible solution is = (0, 100).

Learn more: https://brainly.com/question/15816805

James gets $6 for his weekly allowance and spends $4 of it. His brother Mike gets $7 for his weekly allowance and spends $3 of it. Their mother's birthday is in 4 weeks. If they spend the same amount each week, how much money can they save together in that time to buy her present? 2 points

Answers

Answer:

$24

Step-by-step explanation:

James

Allowance per week = $6

He spends = $4

Balance = $6 - $4 = $2

Mike

Allowance per week = $7

He spends = $3

Balance = $7 - $3 = $4

Their mother's birthday is in 4 weeks

how much money can they save together in that time to buy her present?

James savings per week × 4 weeks

= $2 × 4

= $8

Mike's savings per week × 4 weeks

= $4 × 4

= $16

Total amount James and Mike can save together = $8 + $16

= $24

Heeeeeeeeelp if u can but pls help

Answers

Answer:

16 units squared

Step-by-step explanation:

shbajabdhskan

Answer:

10

Step-by-step explanation:

Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \$65$65dollar sign, 65 along with an hourly rate of \$28$28dollar sign, 28. The plumber only charges for a whole number of hours. Anand would like to spend no more than \$250$250dollar sign, 250, and he wonders how many hours of work he can afford. Let HHH represent the whole number of hours that the plumber works.

Answers

Answer:

Anand can afford is 6hours

Step-by-step explanation:

 Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

Answer:

Anand can afford is 6hours

Step-by-step explanation:

Let H represent the whole number of hours that the plumber works.

given that the fixed cost is $65

and the hourly cost is $28

also given that Anand has a total of $250 with him

the total cost can be expressed in terms of the number of hours H as

250=65+28H

we can now solve for H

250-65=28H

185=28H

divide both sides by 28

H=185/28

H=6.60714285714

"The plumber only charges for a whole number of hours."

So the number of hours Anand can afford is 6hours

Look at the following graph and determine the slope of the line. AY 10 7 5 3 2 1 х 1 2 3 4 5 6 7 8 9 8 9 10​

Answers

Answer:

I believe the slope is 2/3.

find the sum of the series 9+3+1+........+1/27​

Answers

Answer:

364/27

Step-by-step explanation:

9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.

 

The nth term is a1rn-1.

 

If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27

 

                                32(3-1)n-1 = 3-3

 

                                3231-n = 3-3

 

                                    33-n = 3-3

 

                                      3-n = -3

 

                                         n = 6

 

The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).

 

So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)

 

                                              = 9(1 - 1/729) / (2/3)

 

                                              = (27/2)(728/729) = 364/27

How many 3/20 inch lengths are in 5 2/5 inches?

Answers

Answer:

0.81

Step-by-step explanation:

Tell whether the ratios form proportions
4:20 and 6:30
9/18,3/8

Answers

9514 1404 393

Answer:

yesno

Step-by-step explanation:

1) Each of the ratios can be reduced to 1 : 5, Since both can be reduced to the same ratio, the do form a proportion.

  4 : 20 = 1 : 5

  6 : 30 = 1 : 5

__

2) The first ratio can be reduced to 1/2. The second ratio is not 1/2 and cannot be reduced. Since they are different ratios, they do not form a proportion.

  9/18 = 1/2

  3/8 = 3/8

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