A chemist has three different acid solutions. The first acid solution contains 20 % acid, the second contains 40 % and the third contains 70 % . They want to use all three solutions to obtain a mixture of 56 liters containing 50 % acid, using 2 times as much of the 70 % solution as the 40 % solution. How many liters of each solution should be used?

Answers

Answer 1

Answer:

The volume of the first acid solution (containing 20% acid) in the mixture is 14 liters

The volume of the second acid solution (containing 40% acid) in the mixture is 14 liters

The volume of the third acid solution (containing 70% acid) in the mixture is 28 liters

Step-by-step explanation:

The percentage of acid in the first acid solution = 20%

The percentage of acid in the second acid solution = 40%

The percentage of acid in the third acid solution = 70%

The volume they want to use the three solutions to obtain a mixture of = 56 liters

The concentration of the mixture they want to obtain = 50%

The amount of the 70% solution to be used = 2 × The volume of the 40% solution to be included

Let 'x', 'y', and 'z', represent the volumes of the first second and third acid solutions in the mixture

Therefore, from the question parameters, we get;

x + y + z = 56...(1)

z = 2·y...(2)

0.2·x + 0.4·y + 0.7·z = 0.5 × 56...(3)

Multiplying equation (3) by 10 and then subtracting equation (1) multiplied by 2 from the result gives;

10 × (0.2·x + 0.4·y + 0.7·z = 0.5 × 56) = 2·x + 4·y + 7·z = 5 × 56 = 280

2·x - 2·x + 4·y - 2·y + 7·z - 2·y = 280 - 2 × 56 = 168

2·y + 5·z = 168

From equation (2) and (4), we get;

2·y + 5·z = 2·y + 5×(2·y) = 168

12·y = 168

y = 168/12 = 14

The volume of the second acid solution in the mixture, y = 14 liters

From equation (2), we have;

z = 2·y

∴ z = 2 × 14 = 28

The volume of the third acid solution in the mixture, z = 28 liters

From equation (1), we get;

x + y + z = 56

x = 56 - (y + z)

∴ x = 56 - (14 + 28) = 14

The volume of the first acid solution in the mixture, x = 14 liters.


Related Questions

Choose the expression that represents a quadratic expression.
A.) 6x4 − 5x3 + 3x2 −7x − 8
B.) 5x3 + 3x2 −7x − 8
C.) 2x2 + 3x − 1
D.) 3x − 1

Answers

Answer:

C. 2x^2 + 3x - 1

is the answer

what is the value of x in this equation??
50+30x=250+10x

Answers

Answer:

x = 10

Step-by-step explanation:

A large farm tractor costs $98,424, If a farmer makes 36 equal payments, how much Is each payment?

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Answer:

Step-by-step explanation:

2,734 is your answer.

Find the 25th term: 53, 50, 47, 44, 41,

Answers

Answer:

-19

Step-by-step explanation:

38

35

32

29

26

23

20

17

14

11

8

5

2

-1

-4

-7

-10

-13

-16

-19

The 25th term of the given arithmetic sequence is -19.

The given arithmetic sequence is 53, 50, 47, 44, 41.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is an=a+(n-1)d

Here the first term of the sequence is a=53 and the common difference is

50-53=-3

Put, a=53, d=-3 and n=25 in the general form an arithmetic sequence, we get

a25=53+(25-1)×(-3)

= 53+24×(-3)

= 53-72

= -19

Therefore, the 25th term of the given arithmetic sequence is -19.

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Find the length of x.

Answers

You are post to find 110 minus the other number and you will get x

once again some one good at 7th grad math i need your help

Answers

Answer:

(1.) -32.4 (2.) 99.94

Step-by-step explanation:

plz mark 5 str, helpful, and brainliest!

Expressions equivalent to 3^10

Answers

Answer:

59049+0

59048.1+0.9

59048.01+0.99

...

Step-by-step explanation:

There's infinite.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3^{10}}[/tex]

[tex]\mathsf{= 3\times 3\times3\times 3 \times 3\times 3\times3\times3\times3\times3 }[/tex]

[tex]\mathsf{3\times3 = \bf 9}[/tex]

[tex]= 9\times9\times 9\times 9\times9[/tex]

[tex]\mathsf{9\times9 = \bf 81}[/tex]

[tex]\mathsf{= 81\times81\times 9}[/tex]

[tex]\mathsf{81 \times 81 = \bf 6,561}[/tex]

[tex]\mathsf{= 6,561\times9}[/tex]

  [tex]\mathsf{\bf = 59, 049}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 59,049}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

c the student who missed 14 items

Answer:

The answer is B: The student who missed 14 items caused the distribution to be skewed to the right.

The base of a ladder is 10 feet from the side of a building. The top of the ladder reaches a window that is 24 feet above the ground, What is the length of the ladder? A. 14 ft B. 22 ft C. 26 ft D. 34 ft​

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Pythagorus theorem,

here, the perpendicular height = 24 ft and the base = 10ft ,

hence then length of the ladder is the Hypotenuse.

so we get as,

[tex]l \: = \sqrt{ {24}^{2} + {10}^{2} } [/tex]

[tex]l \: = \sqrt{576 + 100} [/tex]

[tex]l \: = \sqrt{676} [/tex]

hence, l = 26 ft

so the length of the ladder is 26 feets.

Answer: 26

Step-by-step explanation:

can some one give me a hand here???????​

Answers

-3/2 I think that’s the answer!

what is the value of this questiom ?

Answers

The answer to that question is 3
the answer is 3 because you have to plug in 1 in the equation for x

I'll give you brainiest if you help me.

Answers

Answer:

88 degrees.

Step-by-step explanation:

Since AB is equal to BC, ABC is an isosceles triangle. Therefore, the angle of B will be 180-39-39=102 degrees. As the angle of a straight line is 180 degrees, take 180-102-32=46 degrees. This 46 degrees is angle B. Since DEB is an isosceles triangle, 180-46-46=88 degrees. 88 degrees is angle E which is your answer. Edit: (Just added on the explanation.)

Find the solution of 64 = 16u algebraically.
please I’m desperate

Answers

Answer:

u = 4

Step-by-step explanation:

Divide by 16 on both sides. [Division Property of Equality]

64/16 = 16u/16

u = 4

==================================================================Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

     -Aadi x

What is the slope and y - intercept of the function y = 2x + 1?

Answers

Answer:

Slope: 2/1 Y-Intercept: 1

Step-by-step explanation:

Find the maximum walking speed of a coyote with legs 0.46 m long. How much faster can a giraffe walk than a coyote?

Answers

Answer:

7.03 ft/s

Step-by-step explanation:

To obtain speed using the model :

Speed = sqrt(gL)

L = Length of leg, g = acceleration due to gravity

Length of leg of a giraffe = 6.03

g = 9.8 m/s or 32 ft/s²

Speed of giraffe in ft/s = sqrt(32 * 6.03) = 13.89 ft/ s

Speed of coyote ; L = 0.46 m

L in feets = 0.46 * 3.23 = 1.4858 feets

s = sqrt(1.4858 * 32) = 6.895 ft/s = 6.86 ft/s

Difference in speed :

13.89 - 6.86 = 7.03 ft/s

Giraffe has 7.03ft/s more speed Than a coyote

A rectangle has an area of 30 square meters and a perimeter of 34 meters. What are the dimensions of the rectangle.

Answers

Answer:

15m times 2m

Step-by-step explanation:

hiii please help i’ll give brainliest:)

Answers

Im guessing A. But I would be wrong.

Answer:

I would choose A

Step-by-step explanation:

The figure below is a net for a right rectangular prism.
7 m
8 m
7 m
14 m
7 m
7 m
What is the surface area of the right rectangular prism, in
square meters?

Answers

The surface area of the right rectangular prism has a length of 7 m, a width of 8 m, and a height of 14 m, is 532 square meters.

What is a rectangular prism?

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

The figure below is a net for a right rectangular prism.

Then the surface area of the rectangular prism will be

Surface area = 2(LW + WH + HL)

Surface area = 2(7 × 8 + 8 × 14 + 14 × 7)

Surface area = 2(56 + 112 + 98)

Surface area = 2 × 266

Surface area = 532 square meters

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PLEASE HELP!! ILL MARK BRAINLYEST!!


Which graph is best to show categorical data?

A. box-and-whisker plot
B. line graph
C. scatter plot
D. circle graph

Answers

Answer:

A

Step-by-step explanation:

Can anyone explain how you graph things for example, like y=x-4 how would you graph that

Answers

Answer:

In basicallity if a question such as this pops up, the correct way to go would first be to graph this. y=x-4 would be equivalent to x=4.

My paper work is below:

y = x - 4

0 = x - 4

-x = -4

x = 4

Hope this helped..

Mr. pope lost 10 pounds in one month. At the end of the month, he weighed 240 pounds. By what percentage did Mr. Pope decrease he weight?
a. (4%)
b. (7%)
c.(10)
d.(15%)

Answers

The answer for this question would be a which is 4% and hopefully you get it right

Mr. Pope decreased his weight by 4 percent.

What is percentage?

A percentage is a portion of a whole thing written as a number between 0 and 100 instead of fraction.

Given that, Mr. pope lost 10 pounds in one month. At the end of the month, he weighed 240 pounds.

we need to find the percentage of decrease of his weight,

So, basically we will use here the concept of percentage change,

Formula = final amount - initial amount / initial amount x 100

Since, he lost 10 pounds and has 240 pounds so, initially he weighted = 240 + 10 = 250 pounds

So, percentage decreased = -10 / 250 x 100 = -4% [minus is the sign for decrease]

Hence, Mr. Pope decreased his weight by 4 percent.

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Sharon sells her doll collection online for $245. She budgets $23 of the money for bedroom decorations and $145 for the monthly payment on her clarinet. Her budget also includes $68 for books and $42 for music. Which is a true statement about Sharon’s budget?
Answers:

Sharon will have a balanced budget.

Sharon will have a budget defi cit of $133.

Sharon will have a budget surplus of $33.


Sharon will have a budget defi cit of $33.
help pls lol

Answers

Answer:

She have a budget deficit of 33

Step-by-step explanation:

In ADEF, the measure of measure of ZD to the nearest degree.
E
52
X
F
D
14

Answers

Answer:

74 degrees

Step-by-step explanation:

Assuming we have the following

FD = 14

DE = 52

m<F = 90degrees

Required

m<D

DE = hypotenuse

FD = adjacent

Using the SOH CAH TOA identity

Cos m<D = adj/hyp

Cos m<D = 14/52

m<D = arccos(0.2692)

m<D = 74.38

m<D to the nearest degree is 74degrees

The sum of the digits in a two digit number is 5. If 27 is subtracted from the number then places of the digits are interchanged. Find the number. Please answer this with clarification! Thankyou<3

Answers

Please find the attached photograph for your answer

Which of these quadrilaterals are rectangles?
Quadrilateral
Rectangle/Not rectangle
<
TUT
D
>
Co
MY
Со

Answers

Answer:

a square can be a rectangle so I would think that the first and second option would be rectangles.

Step-by-step explanation:

I hope this helped sorry if not

What are the coordinates of the point on the directed line segment from (−1,−8) to (5,−2) that partitions the segment into a ratio of 1 to 2?
I need help quick

Answers

Answer:

There are two possible options: [tex]P(x,y) = (1, -6)[/tex] or [tex]P(x,y) = (3, -4)[/tex].

Step-by-step explanation:

There are two possible options depending on what the point of origin is. Vectorially speaking, we can determine the coordinates of the point that partitions the segment is described below:

[tex]P(x,y) = A(x,y) + r\cdot [B(x,y) - A(x,y)][/tex] (1)

Where:

[tex]A(x,y)[/tex] -  Point of origin.

[tex]B(x,y)[/tex] - Point of destination.

[tex]r[/tex] - Partition factor.

Option 1: [tex]A(x,y) = (-1, -8)[/tex], [tex]B(x,y) = (5, -2)[/tex], [tex]r = \frac{1}{3}[/tex]

[tex]P(x,y) = (-1, - 8) + \frac{1}{3}\cdot [(5,-2)-(-1,-8)][/tex]

[tex]P(x,y) = (-1, -8) + \frac{1}{3}\cdot (6,6)[/tex]

[tex]P(x,y) = (-1,-8) + (2,2)[/tex]

[tex]P(x,y) = (1, -6)[/tex]

Option 2: [tex]A(x,y) = (5,-2)[/tex], [tex]B(x,y) = (-1,-8)[/tex], [tex]r = \frac{1}{3}[/tex]

[tex]P(x,y) = (5,-2) + \frac{1}{3}\cdot [(-1,-8)-(5,-2)][/tex]

[tex]P(x,y) = (5,-2) +\frac{1}{3}\cdot (-6,-6)[/tex]

[tex]P(x,y) = (5,-2) +(-2,-2)[/tex]

[tex]P(x,y) = (3, -4)[/tex]

There are two possible options: [tex]P(x,y) = (1, -6)[/tex] or [tex]P(x,y) = (3, -4)[/tex].

Mr. Crawford put $4500 into bank at an interest rate of 3%. How much money will she have in the back after 5 years?


Explain please. Brainlist if correct.

Answers

Answer:

He will have $5175.

Step-by-step explanation:

3% of 4500 is 135. 135x5=675. Add 675 to 4500 which equals 5175.

Guys pls help me!!!!!!

Answers

Answer:

Horizontal lines have no vertical change -- it continues straight left or right. In other words, the change in the y values between any points on the graph is 0, since there is no change. This means that the slope of a horizontal line is 0

Step-by-step explanation:

hope this helps

Answer:

0

Step-by-step explanation:

The line's slope remains constant throughout, its a line that passes through the y - axis therefore it's slope will be 0.

Pls help me on this what is the correct answer

Answers

Answer:

C 61,705

Step-by-step explanation:

10.9% of 35,000 = 3,815

3,815 x 7 = 26,705  (interest is added per year and 3,815 is the interest amount)

35,000 + 26,705 = 61,705 ( the original loan plus the interest for 7 years)

I need help with this​

Answers

Linear
Non linear
Non linear
Linear

If the equation shows a straight line then it’s a linear equation if the equation doesn’t shows a straight line then it’s non linear
1- linear
2-non linear
3-non linear
4-linear

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