How many liters each of a 30% acid solution and a 50 % acid solution must be used to produce 70 liters of a 40 % acid solution? (Round to two decimal places if
necessary.)

Answers

Answer 1

Answer:

  30%: 35 liters

  50%: 35 liters

Step-by-step explanation:

The desired concentration is halfway between the concentrations of available solutions, so the mixture will be equal amounts of each.

  35 liters of 30% acid and 35 liters of 50% acid must be used

_____

If you want to write an equation, it usually works well to let the variable represent the amount of the most concentrated constituent: 50% acid. Then the amount of acid in the final mix is ...

  0.50x +0.30(70 -x) = 0.40(70)

  0.20x +21 = 28 . . . . simplify

  0.20x = 7 . . . . . . . . . subtract 21; next, divide by 0.20

  x = 35 . . . . . . amount of 50% solution (liters)

  70-x = 35 . . . amount of 30% solution (liters)


Related Questions

What is the value of the expression below?
x/3+6=12

Answers

Answer:

x=108

Step-by-step explanation:

x/3+6=12        [tex]\frac{x}{3+6}=12[/tex]

1) 3+6=9

2) multiply both sides by 9

     9x/9=12*9   [tex]\frac{9x}{9}=12*9[/tex]

3) Simplify

     9x/9=x    [tex]\frac{9x}{9}=x[/tex] (9 cancels out)

     12*9=108

      x=108

20. Two employees of a company have to file expense reports for their travel. The first had taken 7 trips with a mean trip cost of $750. The second took a total of 5 trips with a mean cost of $1200. The accounting department wants to determine the mean cost of all the trips that these two employees took. What is the mean cost of all 12 trips? Proposed Solution: Since we have two costs (one for each employee) we can find the mean cost of both employees by the following computation: (750 + 1200) / 2 = 975 What was done wrong in the proposed solution?

Answers

Since there are 7 trips with a mean cost 750 and 5 trips with mean cost 1200, the calculation should be [tex](7\times 750+5\times 1200) \div 12[/tex]

The calculation is as follows:

We know that

Mean cost =  Total cost ÷  total number of trips

Here, Total number of trips(observation ) =  7+5 = 12

Total cost = total cost of two employees

total cost of first employee = [tex]7\times 750[/tex]

And, total cost of second employee = [tex]5\times 1200[/tex]

So,

Mean cost of 12 trips = [tex](7\times 750+5\times 1200) \div 12[/tex] = 937.50

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Subtract 10 from Thanh's age and double the result, and you get Xuyen's age. Xuyen is 22. How old is Thanh?

Answers

Answer:

let thanh age be x

Step-by-step explanation:

xuyen age= 22

therefore= (X-10)2=22

=2x-20=22

=2x=44

x=22

thanh age is 22

Which is a solution for 4x+8 = 3x + 14?
O A. 2
OB.
c. 14/3
OD. 6
O E. 7

Answers

Answer: 6

Step-by-step explanation:

4x+8=3x+14

x+8=14

x=6

The solution of the given equation will be; X = 6

We know that the equation can be defined as an expression that shows the relationship between two or more numbers and variables.

WE are given the equation as;

4x+8 = 3x + 14

Now solving for x;

4x+8 = 3x + 14

Combine the like terms here;

x+8=14

Subtract 8 from right side

x=6

The value of x will be; x = 6

Learn more about equations here;

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Question 1
4 pts
Three researchers studying the behavior of moose at Isle Royale National Park in Lake Superior collect the
following information about 13 moose near their research station:
• Each moose's gender.
• Each moose's height measured in inches.
• How many hours each moose spends in the water each day.
An estimate of the average total weight of food eaten per day by each moose.
Which of the following best describes the individuals and variables that are being measured?
.
The three researchers are the individuals. There is one categorical variable and four quantitative variables,
The three researchers are the individuals. There are four categorical variables and one quantitative variable.
The 13 moose are the individuals. There is one categorical variable and four quantitative variables.
The 13 moose are the individuals. There are four categorical variables and one quantitative variable.
Next

Answers

The correct answer is C. The 13 moose are the individuals. There is one categorical variable and four quantitative variables.

Explanation:

In research, the individuals refer to the participants or population that is being analyzed. For example, if the purpose of the research is to know how many hours highschool students sleep, the individuals are high school students. In this context, the individual or population of this study ae the 13 moose.

Moreover, this research focuses on different variables such as gender, height, the number of hours each moose spends in the water, the weigh of the food eaten on average by each moose, and the average weight of food eaten every day. From these variables, the last four variables are quantitative because they can be measured using numbers, for example, the height is measured in inches. On the other hand, the first variable is categorical because each moose can be classified in only two categories: male or female.

what is the place value of 5 in 7,832.951

Answers

answer: hundredths
explain: the 9 is in the tenths then the 5 is in the hundredths and the 1 is in the thousandths

31-X + (2 x + 1)] = x - 1.
X =

Answers

Answer:

answer is X= 2/1 ×5+2 ok

Supplementary angles must share a common side. True or False

Answers

Answer:

I guess answer is true but not sure

Answer:

The answer is false. Complementary and supplementary angles DO NOT HAVE TO share a vertex or a side but they CAN be.

Can someone do this please for me :(

Answers

The 1st question says that you should look clearly and it tells you what you need to learn. Use this information with all the other questions

how to find these answers?

Answers

Answer:

21.) 50°

22.) 135°

23.) 37°

24.) 100°

25.) 105°

26.) 60°

Step-by-step explanation:

What is the simplified value of the expression below?
8(9.75-3.25)+ 12x4
100
O 152
256
O 347

Answers

Answer:

100

Step-by-step explanation:

=(8)(6.5)+(12)(4)

=52+(12)(4)

=52+48

=100

100 is the answer for the expression

Ms. bell has a 256 ounce bag of potting soil. what is the greatest number of 6 ounce pots she can completly fill with soil

Answers

Answer:

41 bags

Step-by-step explanation:

256 divided by 6 equals 42.6666667 but that is not a whole pot

if t(x)=-x+3, then what is f(x)=(t*t)(x)

Answers

Answer:

[tex]f(x) = {x}^{2} - 6x + 9[/tex]

Step-by-step explanation:

If f(x) = (tt)(x), that's essentially squaring t(x) so

[tex]f(x) = {t(x)}^2 \\ f(x) = (-x +3)^2 \\ f(x) = (-x +3)(-x +3) \\ f(x) = -x(-x +3) +3(-x +3)\\ f(x) = x^2 -3x -3x +9 \\ f(x) = x^2 -6x +9[/tex]

what is an equivalent expression to 6(x-5)?

Answers

Answer:

6x-30

Step-by-step explanation:

you use distribution

Answer: 6x -30

Step-by-step explanation: Distribute the 6 to x and -5 to get 6x -30.

Write each product as a power 6x6x6x6 if u help me youll get a cookie ^

Answers

Answer:

6⁴

Step-by-step explanation:

We see that we are multiply 4 6's together. That means we can simply just raise 6 to the 4th power as we are multiplying 6 x 6 x 6 x 6.

Hey there!

ANSWER: [tex]6^4[/tex]EXPLANATION:

[tex]6*6*6*6 \text { as a power}[/tex]

If you want to find this number to be written as a power, you will need to see how many times the number is being multiplied by 6.

[tex]6(1)*6(2)*6(3)*6(4)\\\text {It was multiplied 4 times}[/tex]

Since it was multiplied by 4 times, you will write it as:

[tex]6^4(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Anika was shown a reduction of a complex figure.

2 complex figures. Side A corresponds to a side with length 35 centimeters. Side B corresponds to a side with length 25 centimeters. A side with length 15 centimeters corresponds to a side with length 60 centimeters.
Figures not drawn to scale.

What can Anika conclude about the scale factor and missing measurements? Select three options.
The scale factor is 0.60.
The scale factor is 0.25.
The length of side A is 8.75 cm.
The length of side A is 21 cm.
The length of side B is 6.25 cm.

Answers

Answer:

Scale factor is .25.

Step-by-step explanation:

Side A is .25 times 35 which is 8.75. Side b is .25 (25)= 6.25

Answer:

B: The scale factor is 0.25.

C: The length of side A is 8.75 cm.

E: The length of side B is 6.25 cm.

Step-by-step explanation:

To find the answer of 8.75 in C multiply 35 x .25

To find E multiply 25 by .25.

And the scale factor is .25 becuase the original is 1/4 the new perimeter.

Evaluate –3^2+ (2 – 6)(10

Answers

-3^2 + (2-6)(10
9 + (-4)(10)
9 + (-40)
9 - 40
-31
Hope this is correct and that it helps :)

I NEED HELP ASAP. PLEASE HELP MEE!

Answers

Answer:

9,6

Step-by-step explanation:

Hopefully this helps you :)

pls mark brainlest ;)

6multiplied by 3 to the -2nd power minus 3 to the fourth power multiplied by 9 plus 4 to the 0th power

Answers

Answer in fraction form is -2182/3
Answer in decimal form is -727.3*
Answer in Mixed number form -737 1/3

Which is the best estimate of (Negative three-fifths) (17 and StartFraction 5 over 6 EndFraction)?

Answers

Answer:

-9

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Can anyone help with this question
Which number is not in the solution set of X - 6 > 10?

A) 14
B) 17
C) 20
D) 23

Answers

Answer:

A) 14

Step-by-step explanation:

x - 6 > 10

Add 6 to both sides.

x > 16

The solution is all numbers greater than 16.

In the choices, only 14 is less than 16.

Answer: A) 14

Answer:

a

Step-by-step explanation:

x-6 [tex]>[/tex] 10

14-6 [tex]>[/tex]10

8 is less than 10

Write 10 × 10 × 10 × 10 × 10 × 10 as a power of 10 using exponents.

Answers

Answer:

10⁶

Step-by-step explanation:

B

Because there is 6 10s so... yeah hope this helps

Answer:

   6

10

Step-by-step explanation:

Plz hellppp -4(x-2) +5 = -10

Answers

Answer:

The answer is 5.75

Step-by-step explanation:

I used desmos

Steps to solve:

-4(x - 2) + 5 = -10

~Distribute left side

-4x + 8 + 5 = -10

~Combine like terms

-4x + 13 = -10

~Subtract 13 to both sides

-4x = -23

~Divide -4 to both sides

x = 23/4

Best of Luck!

33. Find x
7 cm
15 cm
x

Answers

Answer:

 

(28√11 )

_______

15

Step-by-step explanation:

Answer:

x=13.2665 cm

Step-by-step explanation:

7²+x²=15²

49+x²=225

x²=225-49

x²=176

x=√176

x=13.2665

Find the length of each line segment or object

Answers

Answer:

1 ⁷/₈ in

Step-by-step explanation:

that is exactly 1 ⁷/₈ in

Suppose you have a sample of 35 children with antisocial tendencies and you are particularly interested in the emotion of surprise. You find that while the average 10 year old has a score of 13.10 on the emotion recognition scale, your sample of 10 year old children with antisocial tendencies has an average score of 14.35 with a standard deviation of 4.63. A higher score represents that it took a higher degree of emotional expression for the child to correctly identify the emotion of surprise, indicating greater difficulty recognizing the emotion. Assume that scores on the emotion recognition scale are normally distributed.
The null hypothesis is that your sample of children with antisocial tendencies would have no more difficulty recognizing emotion than the general population of 10-year olds. Stated using symbols:_________________
(a). this is a ______
(b) tailed test. Given what you know, you will evalute this hypothesis using a _____
(c) statistic.In order to use the t distribution, you will first need to determine the degrees of freedom
(df) for alpha=.05. The degrees of freedom is: _____
(d). The critical value of t is:_____
(e) Calculate the t statistics. To do this, you will first have to calculate the estimated standard error. The estimated standard error is ____
(f). The t statistic is _____
(g). (Hint: for the most precise results, retain four significant figures from your calculation of the standard error to calculate the t statistic.)
The t statistic ______
(h) lie in the critical region. Therefore, you ____
(i) reject the null hypothesis.
Based on the results of this test, there ____
(j) enough evidence to conclude that children with antisocial tendencies have greater difficulty recognizing surprise than do children without antisocial tendencies:
Options for b: two- or one-
Options for c: z or t
Options for d: 33, 34, 35, 36
Options for e: .549, 2.032, 1.691, 1.645
Options for f: 0.38, 4.63, 0.78, 35
Options for g: 2.45, 1.60, 3.19, 3.30
Options for h: does not OR does
Options for i: cannot OR can
Options for j: is OR is not

Answers

Answer and explanation:

Please find explanation attached

Prove that Associative property does not hold true for 8 / 9 – ( 9 / 10 – 2 / 5 )

Answers

I think the answer above is correct

You're making dessert, but your recipe needs adjustment. Your peanut butter cookie recipe makes 2 dozen cookies, but you need 3 dozen cookies. If the recipe requires 134 cups of sugar, 14 teaspoon of salt, and 113 cups of peanuts, how much of each of these ingredients are necessary for 3 dozen cookies? Simplify your answer.

Answers

3 dozen cookies require 201 cups of sugar, 21 teaspoon of salt, and 169.5 cups of peanuts.

Equation

An equation is an expression that is used to show the relationship between two or more variables and numbers.

2 dozen cookies require 134 cups of sugar, 14 teaspoon of salt, and 113 cups of peanuts.

Hence for 3 dozen cookies:

Amount of sugar = (134)/2 * 3 = 201

Amount of salt = (14)/2 * 3 = 21

Amount of peanuts = (113)/2 * 3 = 169.5

3 dozen cookies require 201 cups of sugar, 21 teaspoon of salt, and 169.5 cups of peanuts.

Find out more on Equation at: https://brainly.com/question/2972832

11. You have $200 and wish to buy a computer. You find an investment that increases
by 0.6% each month, and you put your $200 into the account. When will the
account enable you to purchase a computer costing $500?

Answers

Answer:

I’m not a hundred percent it’s correct

Step-by-step explanation:

I used the online book to get the answer.

Hope this helps

Using an exponential equation, it is found that the account will enable the person to purchase the computer after 153 months.

An exponential equation of increase is modeled by:

[tex]A(n) = A(0)(1 + r)^n[/tex]

In which

A(0) is the initial value.r is the rate of increase, as a decimal.

In this problem:

$200 put into the account, thus [tex]A(0) = 200[/tex].Increases 0.6% each month, thus [tex]r = 0.006[/tex].

Then:

[tex]A(n) = A(0)(1 + r)^n[/tex]

[tex]A(n) = 200(1 + 0.006)^n[/tex]

[tex]A(n) = 200(1.006)^n[/tex]

You need $500 to purchase the computer, then:

[tex]A(n) = 200(1.006)^n[/tex]

[tex]500 = 200(1.006)^n[/tex]

[tex](1.006)^n = \frac{500}{200}[/tex]

[tex](1.006)^n = 2.5[/tex]

[tex]\log{(1.006)^n} = \log{2.5}[/tex]

[tex]n\log{1.006} = \log{2.5}[/tex]

[tex]n = \frac{\log{2.5}}{\log{1.006}}[/tex]

[tex]n = 153[/tex]

The account will enable you to purchase a computer after 153 months.

A similar problem is given at https://brainly.com/question/14773454

Using this linear inequality: 10C + 4 > 2C

Explain how to solve the inequality use both English and Math Sentences in your explanation, and how complete your explanation is.

Answers

Answer:

C > –½

Step-by-step explanation:

10C + 4 > 2C

The above inequality can be solved as follow:

10C + 4 > 2C

Collect like terms

4 > 2C – 10C

4 > – 8C

Divide both side by –8

Note: the inequality sign will change since we are dividing by a negative value.

4/ –8 < –8C/ –8

– ½ < C

Thus,

C > –½

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