A researcher needs 60 L of 50% concentrate solution for a certain experiment, but she has only 30% solution and 70% solution. How many liters of the 30% and the 70% solutions should she mix to get what she needs? ​

Answers

Answer 1

Answer:

30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.

Step-by-step explanation:

Let 'x' liters of 30% solution and 'y' liters of 70% solution are added together to get the required 60 liters of 50% of the solution.

According to the question, 30% solution and 70% solution are mixed and so, we get

[tex]0.3x+0.7y=0.5 \cdot 60\\\Rightarrow 0.3x+0.7y=30----(1)[/tex]

Also, sum of the final solution should be 60 liters only so, we get

[tex]x+y=60----(2)[/tex]

Solving equations (1) and (2), we get

[tex]x=30 liters\\ y=30 liters[/tex]

Hence, we can say that 30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.

Link associated to Brainly.com: https://brainly.com/question/17377535


Related Questions

Only #6ac please explain.

Answers

Answer:

Step-by-step explanation:

the percentage error: P

Approximate value=a 1.41

Exact = e(1.41421356 or √2)

p=[(e-a)/e]×100

p=[√2-1.41)/√2]×100

p=0.29794385 ≅0.30 or 30 percent when rounded to the nearest hundredth

b: p=[(π-3.14)/π]×100=0.05069573≅0.05 =5 percent when rounded to the nearest hundredth. in the pi case the percentage of error is small 5 % but in the case of square roots the percentage id higher(30%). in this case it is better to round the answer at the end of calculation( math problem)

c) sometimes when rounding square roots or irrational number like pi it is useful to use decimal approximate, in the case of pi the percentage rate was 5 percent which is very low comparing to the square root which is 30 %.

Jin soccer team has four coaches and 22 player and his twin sisters team has to coaches and 11 players is the relationship between the number of players and coaches is proportional throughout the league which ordered pair could represent the total number of coaches and players in the entire league

Answers

Answer:

26 coaches and 143 players

Step-by-step explanation:

11/2=5.5

22/4=5.5

143/26=5.5

Answer:

26 coaches and 143 players

Step-by-step explanation:

Please help and show work! Simplify each expression!




-7y - (-12y) =



15xy- (-6xy) =



-53va - 32va



Answer the expressions and show work please!



64 / 0.8 -5.6 / 7 =



Use the distributive property to simplify the expression. Show work!



-(x -3) + 6 =



Use order of operations to evaluate the expression.



Show work please!



6 + 3 (9) =



Evaluate the expressions if x = 10, y = 5, and z = 1.


x/y =



xy + z



5 (z - x)



Please answer all of these questions correctly and show work! I really need this! I'm putting 50 points and I'll choose brainliest!

Answers

Answer:

See below

Step-by-step explanation:

-7y - (-12y) =  -7y + 12y = (-7+12)y = 5y  15xy- (-6xy) =  15xy + 6xy = (15+6)xy = 21xy-53va - 32va  = (-53 -32)va = - 85va64 / 0.8 - 5.6 / 7 = 640/8 - 56/7×1/10 = 80 - 8/10 = 80 - 0.8 = 79.2-(x -3) + 6 = -x + 3 + 6 = -x + 96 + 3 (9) = 6 + 27 = 33

Evaluate the expressions if x = 10, y = 5, and z = 1.

x/y =  10/5 = 2xy + z  = 10×5 + 1 = 50 + 1 = 515 (z - x) = 5×(1 - 10) = 5×(-9) = -45

Answer:

see below

Step-by-step explanation:

⇒  -7y - (-12y) = -7y + 12y =  5y

⇒  15xy - (-6xy) = 15xy + 6xy = 21xy

⇒  -53va - 32va =    - 85av

⇒  64 / 0.8 -5.6 / 7

   = 448 - 7.48

          5*6

    = 79.2

⇒    -(x -3) + 6

   = -x + 3 + 6

   = -x + 9

⇒  6 + 3 (9)

   = 6 + 27

   = 33

Evaluate the expressions if x = 10, y = 5, and z = 1.

⇒  x/y = 10 / 5 = 2

⇒  xy + z = 10*5 + 1 = 51

⇒  5 (z - x) = 5(1 - 10) = 5 - 50 = 45

5. Which of the following describe the transformation rule (x, y) – (x + 1, - 2)
Move left two, down one
Move right one, down two
Move right two, down one
Move left two, up one

Answers

Answer:

shift to the right 1 unit, shift down 2 units

Step-by-step explanation:

because x+1 which mean shift to the right 1 unit as +1 is positive

down 2 because y is -2 as well as shift down 2 units

Which answer describes the type of numbers that are dense? whole numbers and integers whole numbers but not integers rational numbers and irrational numbers rational numbers but not irrational numbers

Answers

Answer -rational numbers and irrational numbers

Using number sets, it is found that the set of dense numbers is composed of rational and irrational numbers. Therefore, option C is the correct answer.

From options, we need to check which answer describes the type of numbers that are dense.

What are numbers?

Numbers are an integral part of our everyday lives, right from the number of hours we sleep at night to the number of rounds we run around the racing track and much more. In math, numbers can be even and odd numbers, prime and composite numbers, decimals, fractions, rational and irrational numbers, natural numbers, integers, real numbers, rational numbers, irrational numbers, and whole numbers.

Numbers can be classified as:

Whole numbers: All positive numbers and 0, so: {0,1,2,...}

Integer numbers: Positive or negative, not decimal so: {...,-2,-1,0,1,2,....}

Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459 (4459 repeating is the pattern).

Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339, which can be approximated to the rational 0.1.

Real numbers: Rational plus irrational.

A subset is dense of the rational numbers if all numbers can be approximated to rational numbers, and thus, rational and irrational numbers are dense.

Therefore, option C is the correct answer.

To learn more about the rational and irrational visit:

https://brainly.com/question/15267867.

#SPJ6

GHKL is a rectangle. which of the following is a false statement?

Answers

Answer:

The false statement is ∠1 ≅ ∠2.

Then Isabella filled 3 more pages with 36 photos which
she evenly divided between the pages. Is the number of
photos on one of these pages more or less than the
number on one page in the example problem? Explain.​

Answers

Answer: Isabella has 4 more photos than the other photo albums. So, Isabella has more pages than the number on one page in the example problem.

Step-by-step explanation: 3 divided by 36 equals 12. 12 times 3 = 36

The number of photos on one of these pages is more than the number on one page in the example problem because Isabella's photo album contains 4 more photos.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been given that Isabella filled 3 more pages with 36 photos which she evenly divided between the pages.

As per the given condition,

36 divided by 3

⇒ 36 / 3 = 12

Here 12 times 3 is equal to 36

Therefore, Isabella's photo album contains 4 more photos. The number of pages in Isabella is greater than the number on one page in the example problem.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

The newest model of a phone comes with several customizable options, including 4 different sizes, 3 different storage capacities, and 6 different colors. If Gael wants to buy 1 of the 2 largest sizes of phone, how many possible combinations of options can he choose from?

Answers

13 different choices!

3x - (2 - x) + 1
or
-5 + 4x + 4
Which is greater

Answers

Answer:

The first one is greater in value

Step-by-step explanation:

3 x 2 + x − 2 VS 4 x − 1

3x - (2 - x) + 1 is greater

Write a compound inequality that represents the sentence below.
A quantity x is either less than 2 or greater than 16.

Answers

Answer:

2<x>16

Step-by-step explanation:

HELP ME PLS LOVE U GUYS ,<322

Answers

Answer:

384

Step-by-step explanation:

Triangle sides: 12x10/2. Then multiply by four to get all four sides.

Bottom: 12x12.

Add together, get 384.

oooooooooooooooooooooooooooooooooooooooooooooooooooo

Answers

Oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
Ahhhhhhhhhhhhhhhhhhhhhhhh

Plzz look at this problem first person with correct answer will get branliest

Answers

Answer:

h,  negative,  negative

Step-by-step explanation:

someone please help me

Answers

Say you’re using the top tip of the house (5,6). This form is (x,y) you must transform it to (y,-x) which is (6,-5). It just means put y first and the opposite of x second.

Seismosaurus is the longest known dinosaur. It
measured 1800 inches. How far would 3000
Seismosaurus dinosaurs span if they were
placed head to tail? Write your answer in
scientific notation.

Answers

Answer:

5.4 * 10^6 in.

Step-by-step explanation:

3000 * 1800 in. = 5,400,000 in. = 5.4 * 10^6 in.

Evaluate this question (2/5^3)

Answers

Answer:

The answer will be 18/125 and the decimal form is 0.064

Step-by-step explanation:

quadrilateral A can be rotated into position of quadrilateral B. Estimate the angle of rotation​

Answers

Answer:

The angle of rotation is 120°

Step-by-step explanation:

The given quadrilateral A can be taken as being upright form, however, by measurement, using a protractor application, the base of the quadrilateral is inclined at an angle of 13° to the horizontal, the positive direction of the x-axis, before rotation while the base of the B which is the image of A after rotation, is found to be at angle of 133° to the positive direction of the horizontal x-axis

Therefore, the angle of rotation = 133° - 13° = 120°

Alan's go kart travels 1750 feet per minute and Barry's go kart travels 21 miles per hour whose go kart travels faster round your answer to the nearest tenth

Answers

Answer:

Barry's kart is faster as he goes 21 Mph while Alan only goes 19.89 Mph.

Step-by-step explanation:

First to get this answer we need to convert feet per minute to miles per hour. So we multiple 1750 feet per minute by 60 to get a hour. This gets up 105000 total feet in a hour. Now we need to divide this by 5280, which is how long a mile is, to get 19.89 miles which is how many miles he travels in a hour making him travel 19.89 mph which is less than 21 making Barry faster.

-8=12-4x , help !!!!! algebra review and i dont know thisssssss

Answers

Answer:

[tex] \huge{ \fbox{ \sf{x = 5}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf \: - 8 = 12 - 4x}[/tex]

[tex] \text{Step \: 1 \: : Swap \: the \: sides \: of \: the \: equation}: [/tex]

[tex] \mapsto{ \sf{12 - 4x = - 8}}[/tex]

[tex] \text{Step \: 2 \: : Move \: 12 \: to \: right \: hand \: side \: and \: change \: its \: sign}[/tex]

[tex] \mapsto{ \sf{ - 4x = - 8 - 12}}[/tex]

[tex] \text{Step \: 3 \: : Calculate}[/tex]

[tex] \text{ \underline{Remember ! }} : \sf{ \: The \: negative \: integers \: are \: always \: added \: but \: posses \: the \: negative \: ( - ) \: sign.}[/tex]

[tex] \mapsto{ \sf{ - 4x = - 20}}[/tex]

[tex] \text{Step \: 4 \: : Divide \: \: both \: sides \: by \: 4}[/tex]

[tex] \mapsto{ \sf{ \frac{ - 4x}{ - 4} = \frac{ - 20}{ - 4}}} [/tex]

[tex] \text{Step \: 5 \: : Calculate}[/tex]

[tex] \mapsto{ \sf{x = 5}}[/tex]

Hope I helped!

Best regards! :D

~[tex] \sf{TheAnimeGirl}[/tex]

What is the simplified form of 3a^2+6a+2b^2.

It would be greatly appreciated if anyone could solve this

Answers

Answer:

3 a (a + 2) + 2 b^2 or a (3 a + 6) + 2 b^2 or 3 (a + 1)^2 + 2 b^2 - 3

Step-by-step explanation:

Khairul is x years old .Khairul`s uncle is 4 times as old as khairul will be in 5 years .Find the present age of Kharuls`s uncle. Plz some one answer this question will be very thankfull

Answers

Answer:

4x + 15

Step-by-step explanation:

Let the age of Khairul's uncle y.

From the question given above, the following were obtained:

Khairul's age = x years

In 5 years time:

Khairul's age = x + 5

Khairul's uncle age = y + 5

But from the question given above,

Khairul`s uncle will be 4 times as old as what khairul will be in 5 years. This can be written as follow:

y + 5 = 4(x + 5)

Clear bracket

y + 5 = 4x + 20

Subtract 5 from both side

y + 5 – 5 = 4x + 20 – 5

y = 4x + 15

Therefore, Khairul's uncle present age is 4x + 15

Answer:

y= 4x+15

Step-by-step explanation:

This problem tests our ability to express word problem using equation

Given data

Khairul age = x years

let the uncle's age be y

in five years time, Khairul will be = x+5

in five years time, the uncle will be = y+5

 

hence Khairul uncle's age  is  

y= 4(x+5)

y=4(x+5)

y=4x+20

hence the uncles current age is

y+5=4x+20

y= 4x+20-5

y= 4x+15

   

Nela is filling her circular backyard swimming pool. The radius of the pool is 5 feet and the height is 6 feet. Which shows the correct substitution of these values into the formula for the volume of a cylinder?

Answers

Answer:

V=[tex]\pi[/tex]5^2*6

Step-by-step explanation:

If this makes it a little easier to read:

V = [tex]\pi[/tex] * 5^2 * 6

This is the answer when you solve it btw:

471.24

Also, who buys a swimming pool in the shape of a cylinder?

The volume of the cylinder is 471 square feet.

Given,

Nela is filling her circular backyard swimming pool.

The radius of the pool is 5 feet and the height is 6 feet.

We need to find the volume of the cylinder.

What is the volume of a cylinder?

It is given by:

V =  [tex]\pi[/tex] r² h.

Find the volume of the cylinder

V =  [tex]\pi[/tex] r² h

We have,

h = 6 feet and r = 5 feet

V = 3.14 x 5² x 6

V = 3.14 x 25 x 6

V = 471 square feet.

Thus the volume of the cylinder is 471 square feet.

Learn more about finding the volume of a cylinder here:

https://brainly.com/question/15002580

#SPJ2

The height of a triangle is 5 more than double the base length. If the height of the triangle is 74 mm, what is the base length of the triangle? If b represents the length of the base in mm, the equation that represents this problem is

Answers

Answer:

The base length of the triangle is 34.5 mm.

34.5×2+5=74.

Step-by-step explanation:

Subtract 5 from 74 then divide 2 from 69 and you will get 34.5.

Answer:

The first answer is 74=2b+5

And the second answer is 34.5

Step-by-step explanation:

this is due tm please help​

Answers

Answer:

25. No slope

Step-by-step explanation:

25. Y2 - Y1 / X2 - X1

= -8 - (-3) / 9 - 9

= -5 / 0

= no slope; straight line

Use this formula (Y2 - Y1 / X2 - X1) for each ques.

will someone help with homework

Answers

i believe the answer is -79.31!
i got $-61.58 for her bank total

Is due today Help!!! Algebra ll

Answers

[tex]-7x-9y=-8[/tex]

[tex]5x+6y=4[/tex]

[tex]-35x-45y=-40[/tex]

[tex]35x+42y=28[/tex]

[tex]-3y=-12[/tex]

[tex]y=4[/tex]

[tex]5x+6(4)=4[/tex]

[tex]5x+24=4[/tex]

[tex]5x=-20[/tex]

[tex]x=-4[/tex]

[tex](-4,4)[/tex]

Hope this helps.

頑張って!

Find the area and perimeter of the figure below.

Answers

Answer:

Area: 6x+6

Perimiter: 4x+10

Step-by-step explanation: to find the area of something multiply the width times the height. to find the perimeter of something add each side together. use the order of operations (PEMDAS).

Area=3(2x+2)

Area=6x+6

Perimeter=3+3+(2x+2)+(2x+2)

Perimeter=6+4x+4

Perimeter=4x+10

Answer:

Area=length*width

A=3(2x+2)=6x+6 unit squar

Perimeter = 2l+2w

P=2(3)+2(2x+2)

P=6+4x+4

P=10+4x

Given the line segment , state the ratio of the segment partitions as. Be sure to reduce fractions

Answers

Answer/Step-by-step explanation:

Line segment AB consists of segment AC and segment CB.

AC = 7 cm

CB = 21 cm

The entire segment, AB = 21 + 7 = 28cm

The ratio of the segments partitions can be stated as follows:

Ratio of AC to CB = AC:CB = 7:21 = 1:3 = [tex] \frac{1}{3} [/tex]

AC is ¼ of AB [tex] (\frac{1}{1 + 3} = \frac{1}{4}) [/tex]

CB is ¾ of AB [tex] (\frac{3}{1 + 3} = \frac{3}{4}) [/tex]

The figure shows two triangles on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 4, 1 vertex B on ordered pair negative 3,1, and vertex C on ordered pair negative 4, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair 4, 4, vertex B prime on ordered pair 3, 4, and vertex C prime on ordered pair 4,1. What set of transformations is performed on triangle ABC to form triangle A′B′C′? (5 points) A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right A translation 5 units to the right, followed by a 270-degree counterclockwise rotation about the origin

Answers

Answer:

  A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin

Step-by-step explanation:

The figure is obviously rotated 180°. If the rotation is first, the image would be in the 4th quadrant, where it would stay after translation downward.

If the translation is downward first, it would be in the 3rd quadrant, moving to the first quadrant after rotation by 180°. This is the apparent sequence of transformations:

  translation down 5, rotation 180°

Answer:

translation down 5, rotation 180°

Step-by-step explanation:

Help ASAP !!!!!!!!!!!!!!!!!!!

Answers

Answer:

im lik 999999999

percent sure its 2

Step-by-step explanation:

Answer:

divide r by s and multiply by 3   :3   :8    xD

Step-by-step explanation:

Other Questions
find the greatest common factor of 24 and 54 Did they agree to wait 20 years to ban slavery? Which element has the greatest average atomic mass? iodine bromine tellurium krypton What formulae can be used to solve quadratic equation in two variables? Los pasises son=the countries are? ..................................................................... 2-20/3 =2x help me please What is the best definition for align what is the distance between -7 and -3 1/2 How would your parents refer to your grandparents? The UCC requires that HDCs take instruments in good faith. This means that: a.the holders must have performed a special oath before taking the instrument. b.the holders must be assured that the instrument has no defects. c.the holders must be aware that the instrument is defective. d.the holders must have acted honestly and observed all reasonable commercial standards of fair dealing. What kind of substances can you not heat on a Bunsen burner? Quand vont-ils prendre le bus? Ills vont attendre jusqu'_____? Tard Aujourd'hui Demain Hier Explain how to find 7/10 + 9/10 And so, my fellow americans: ask not what your country can do for you - ask what you can do for your country. Can anyone paraphrase this? These are true of living things. *A. The life cycle of many organisms involves development.B. All living things grow during at least part of their lives.C. Each tyhpe of organism has a distinctive life cycle.D. Cells may change in number but never differentiate. Several market participants interact in developed markets to organize the exchange of funds from buyers to sellers. Such institutions as investment banks, commercial banks, financial services corporations, credit unions, pension funds, life insurance companies, mutual funds, exchange traded funds, hedge funds, and private equity companies play a key role in facilitating these transfers.Identify the financial institution based on each description given in the following table:_________.DescriptionThey underwrite, distribute, and design investment securities for corporations to help them raise capital. They are established by an employer to facilitate and organize employee retirement funds. They are asset pools that invest in securities that have a potential to give stable returns. With the use of advanced investment techniques, these largely unregulated portfolios are invested in securities. The investment objective is to offset potential losses by investing in counterbalancing securities. They are open to only a select class of investors. Financial InstitutionFinacial Services Corporations,Commercial Banks, Investment Banks Life Insurance, Credit Unions, Pension FundsExchange Traded Funds, Hedge Funds, Private Equity Companies A quadrilateral has no right angles, and two pairs of congruent, parallel sides. What is the figure? square rhombus parallelogram rectangle g(x) = x^2 + 3 find g(5) How are water & mineral transported in plants?