A chemist has 30% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 65 liters of 32% acid solution?

liters of 30% acid
liters of 40% acid

Answers

Answer 1

Answer:

30 = 80 %

40= 20 %

Step-by-step explanation

I'm sorry for not writing how to do it but it's something like if 30 = 100 then if we had 40 occupying 20 percent of that acid then we will get 32 percent

Answer 2

The number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let x be 30% solution of acid and y be 40% solution of acid.

Total quantity of solution is 65 liters.

Now, x+y=65 ----------(i)

Number of liters of solution should be mixed to obtain 65 liters of 32% acid solution.

So, the equation is 30% of x+40% of y=32% of 65

0.30x+0.40y=0.32×65

0.30x+0.40y=20.8 ----------(ii)

From equation (i), x=65-y

Substitute x=65-y in equation (ii), we get

0.30(65-y)+0.40y=20.8

19.5-0.30y+0.40y=20.8

0.10y=20.8-19.5

0.10y=1.3

y=1.3/0.1

y=13

Substitute y=13 in equation (i), we get x=52

Therefore, the number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.

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Related Questions

f(x) = x2. What is g(x)?




A. g(x) = 4x²
B. g(x) = (1/4x)²
C. g(x) = (1/2x)²
D. g(x) = 1/4x²

Answers

Answer:

B. g(x) = (1/4x)²

Step-by-step explanation:

g(x) experiences a horizontal stretch where 0<|a|<1

This means we can eliminate A because that would be a horizontal compression since |a|>1

B seems to work because (1/4(4))^2=1

C does not work because you'll get 2 as your y-value

D does not work because you'd be taking 1/4 of x^2 which would give you 4.

Prisha is buying sandwiches at a café for herself and her daughter. If she buys 2 tuna sandwiches, the cost will be $14. If she buys 1 tuna sandwich and 1 chicken sandwich, the cost will be $16. How much will the cost be if she buys 2 chicken sandwiches?

Answers

Answer:

18$

Step-by-step explanation:

2 tuna sandwiches= 14$

1 tuna sandwich= 14÷2 = 7$

1 tuna sandwich + 1 chicken sandwich = 16$

7$ +1 cs= 16$

1 chicken sandwich = 16$- 7$

1 chicken sandwich = 9$

2 chicken sandwiches = 9x2 = 18$

Estimate the given rotation within 10 degrees:

Answers

Answer:

70∘

Step-by-step explanation:

if you let a soap in the floor does the soap is cleaning the floor or is the soap getting dirty?¿​

Answers

Answer:

que

Step-by-step explanation:

no se

Answer:

soap is getting dirty regardless if there is water on the floor.

Step-by-step explanation:

what is the volume please this is for a quiz​

Answers

Answer:

2 61/162

Step-by-step explanation:

look at pic 10 pts will mark brainilest

Answers

Answer:

C) It will not change

Hope this helps! :)

What is the surface area?

Answers

Answer:

212

Step-by-step explanation:

hope you will understand


A bowl in Mr. Layman's classroom contains a total of 300 red and green Skittles, The number of red Skittles equals 3 times as many as the green Skittles. Which equation would NOT be helpful in solving this problem?

Answers

Answer:

you need to put the answer choices to pick from (I will edit this when you put them)

Step-by-step explanation:

7
11 X
Find the exact value of x.
X=
Do the side lengths form a Pythagorean triple?
o yes
O no

Answers

Answer:

[tex] \sqrt{49 + 121} = \sqrt{170} [/tex]

No , The side lengths of the triangle does not form a Pythagorean triple

The value of x = 13.038 = √170

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be ΔABC

Now , the base of the triangle BC = 11

The height of the triangle AB = 7

The hypotenuse of the triangle AC = x

Now , the length of AC can be calculated from the Pythagoras Theorem

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

And , AC² = AB² + BC²

Substituting the values in the equation , we get

AC² = 11² + 7²

AC² = 121 + 49

AC² = 170

Taking square roots on both sides of the equation , we get

The value of AC = √170

The value of AC = 13.038

Therefore , the value of x = 13.038

Hence ,

No , The side lengths of the triangle does not form a Pythagorean triple

The value of x = 13.038 = √170

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Please help me with this question!! I also need the steps

Answers

Hi there!

[tex]\large\boxed{x = \frac{\pi}{3} \text{ and } \pi}[/tex]

We are given:

cos(7x)cos(4x) = -1 - sin(7x)sin(4x)

Begin by moving all terms with variables to one side:

cos(7x)cos(4x) + sin(7x)sin(4x) = -1

The corresponding trig identity is cos(A - B). Thus:

cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1

cos(3x) = -1

cos = -1 at  π, so:

3x = π

x = π/3

We can also find another solution. Let 3π = -1:

3x = 3π

x = π

Thus, solutions on [0, 2π) are π/3 and π.

CAN SOMEONE PLZZZ HELP ME? THIS IS DUE IN LIKE 5 MINUTES

Answers

Answer:

I think E im not sure which other one.

Step-by-step explanation:

Answer:

A and E

Step-by-step explanation:

hope this helps and hope you get a good score on your assignment/test/quiz

Four hundred five trillion eighty-four million thirty thousand in numbers?

Answers

405,000,084,030,000 ?

NEEED HELP ASAP PLEASE

Answers

Step-by-step explanation:

[tex]( {m}^{15} )( {m}^{3} ) ^ {- 4} \\ = ( {m}^{15} )( {m}^{3 \times - 4} ) \\ = ( {m}^{15} )( {m}^{ - 12} ) \\ = {m}^{15 + ( - 12)} \\ = {m}^{15 - 12} \\ = {m}^{3} \\ {m}^{x} = {m}^{3} \\ x = 3[/tex]

write numbers on the blanks to create a different expression that is equal to (3+4)+5

Answers

Answer:

(3+4)+5=12

Step-by-step explanation:

(3 + 4 ) = 7

7 + 5 =

12

A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in
an upcoming election. A poll of 150 randomly selected voters is taken from the more than 2,000 voters in the
population, and 78 of those selected plan to vote for the incumbent candidate.
Based on this sample, which of the following is a 90% confidence interval for the proportion of all voters who
plan to vote for the incumbent candidate?

Answers

Answer:

90% confidence interval -> {0.4529, 0.5871}

Step-by-step explanation:

Check conditions for a 1-proportion z-interval:

np>10 -> 150(0.52)>10 -> 78>10 √

n(1-p)>10 -> 150(1-0.52)>10 -> 72>10 √

Random sample √

n>30 √

For a 90% confidence interval, the critical value is z=1.645

The formula for a confidence interval is:

CI = p ± z√[p(1-p)/n]

Given:

p = 78/150 = 0.52

n = 150

z = 1.645

Therefore, the 90% confidence interval is:

CI = 0.52 ± 1.645√[0.52(1-0.52)/150] = {0.4529, 0.5871}

Context: We are 90% confident that the true proportion of all voters who

plan to vote for the incumbent candidate is contained within the interval

Find the perimeter of the semicircular region. Round your answer to the nearest hundredth.
6 in.

Answers

9514 1404 393

Answer:

  30.85 in

Step-by-step explanation:

The circumference of a circle with a 6" radius is ...

  C = 2πr

  C = 2π(6 in)

Then the curved portion of a semicircle with that radius will have the length ...

  1/2C = 1/2(2π)(6 in) = 6π in . . . . curved length

The straight portion of the boundary of this figure is simply twice the radius, so is ...

  2×6 in = 12 in . . . . straight length

__

The perimeter is the sum of the curved and straight lengths:

  P = (6π +12) in ≈ 30.8496 in ≈ 30.85 in . . . . figure perimeter

Find the value of 3/x+7
if X= 25.
A) 32
B) 82
C) -8
D) 22

Answers

Answer:

32

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

If evaluated this is the answer!

1. A waste management service attempts to design routes so that each of their trucks pick-up on average four tons of garbage or less. A garbage collector believes, however, that he averages picking up more than four tons of garbage per day and decides to perform a hypothesis test. If the hypothesis test is performed at a 5% significance level and the resulting p-value is 0.04. Your conclusion should be:

2. It has been determined with 95% confidence that the proportion of on-line students at NYU who live in Brooklyn is between 0.73 and 0.77. Determine the sample proportion of on-line NYU students who live in Brooklyn.
3. Assume a normal distribution and use a hypothesis test to test the given claim.

According to city reports, it was found that the mean age of the prison population in the city was 26 years. Marc wants to test the claim that the mean age of the prison population in his city is less than 26 years. He obtains a random sample of 25 prisoners, and finds a mean age of 24.4 years and a standard deviation of 9.2 years. At a significance level of 0.05, what should his conclusion be?

Answers

Answer:

1.-Then we p-value indicates that we are in the rejection region we reject H₀

We support the claim of the garbage collector the average picking up more than 4 tn of garbage

2.- p  = 75 %

3.-3.-t(s) is in the rejection region we accept H₀ we have not evidence to support Marc´s claim

Step-by-step explanation:

1.- If p-value is 0,04   and significance level α = 5 %  or  α = 0,05 then p-value < α

Test hypothesis should be    ( x the average of garbage)      

Null hypothesis          H₀           x = 4 Tn

Alternative Hypothesis     Hₐ    x  > 4 Tn

Then  alternative hypothesis suggests a one tail-test to the right  and

p-value <  0,05

Then we p-value indicates that we are in the rejection region we reject H₀

We support the claim of the garbage collector the average picking up more than 4 tn of garbage

2.- As we are dealing with a normal distribution the CI  95 % is symmetrical with respect to the mean, therefore the proportion of student living in Brooklyn is:  

(0,73 + 0,77) /2

p = 0,75     p  = 75 %

Test hypothesis:

Null Hypothesis            H₀            μ    =  26

Alternative Hypothesis      Hₐ      μ   <  26

Alternative hypothesis tells us the test is a one-tail test to the left

Sample size   n = 25

Sample mean   μ  =  24,4

Sample Standard deviation  =  9,2

We assume normal distribution, and as n < 30 we use t-student table

with  24 degree of freedom

Significance level is 0,05  and df = 24  we find t (c)  in t- student table

t(c) = 1,7109      test to the left   t(c) = -1,7109

To calculate  t(s)

t(s)  =  (  24,4 - 26 ) / 9,2 / √25

t(s) =  - 1,6 * 5 / 9,2

t(s) = - 0,87

Comparing t(s)  and t(c) we have

t(s) > t(c)

t(s) is in the rejection region we accept H₀ we have not evidence to support Marc´s claim

What is the mean of the data set?
{20, 1, 14, 14, 9,8}

Answers

Answer and Step-by-step explanation:

To find the mean, you have to add all of the data together, then divide by the amount that there is.

So, when adding together the data, we get 66. We have 6 values, so we will divide 66 by 6.

66 divided by 6 is 11.

The mean of the data set is 11.

#teamtrees #PAW (Plant And Water)

Answer:

11

Step-by-step explanation:

20+14+14+9+8=66

66 divide by 6 = 11

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

113

Step-by-step explanation:

who is spongeborb ???

Answers

Answer:

Spongeborb???

I don't know a spongeborb, but I DO know a spongebob

Spongebob is my homie, he lives right next door to me in his pineapple...and occasionally, I make him do my dishes

Answer: spongeborb?

SpongeBob SquarePants is the title character and protagonist of the American animated television series of the same name. He is a sea sponge who works as a fry cook at the Krusty Krab, a fast food restaurant known for its signature burger, the Krabby Patty.

Step-by-step explanation:

Have a nice day!

write the following comparison as a ratio reduced to lowest terms

31 hours to 7 days​

Answers

31:7 days hope this helps.

The dot plots show the heights of the players on two basketball teams.



Which statement is best supported by these data?

Answers

Answer:

hgfdcvbjk

Step-by-step explanation:

jhgfdsxzxdcfvgbhjkl

Find the missing side of this right
triangle.
13
8
х
x = [?]
Enter the number that belongs in the green box.

Answers

Answer: x=233

Step-by-step explanation:

The missing side of this right triangle will be 10.25. The given triangle is a right-angled triangle.

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees, then we have:

|AC|² = |AB|² + |BC|²

13²=8²+ |BC|²

|BC|=10.25

The missing side of this right triangle will be 10.25.

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The binomial (a+5) is a factor of a2+7a+10. What is the other factor?

(a+2)
(a+5)
(a−2)
(a−5)

Answers

Answer:

(a+2)

Step-by-step explanation:

a²+7a+10 = (a + 5) (a + 2)

a  +  5

    X  5a + ?a = 7a => 5a + 2a = 7a, 5 × ? = 10 => 5 × 2 = 10

a  +  2    

______

(a + 5) (a + 2)

Answer:

a

Step-by-step explanation:

quadrilateral PQRS has coordinates P(-5, -2), Q(-2, -2), R(-4, -6) and S(-7, -6). Where is P' after quadrilateral PQRS is reflected over the x-axis? PLEASE HELP!!! QUICK

A. (-5, 2)
B. (5, 2)
C. (5, -2)
D. (-2, 5)

Answers

The answer is gonna be b

What is 57 divided by 90?

Answers

Answer:

0.63 should be your answer

Answer;

0.6333333

Step-by-step explanation:

I think it's helps you

Mrs. Cole has a bag containing white and yellow marbles. Mrs. Cole randomly selects one marble from the bag, records the result, and returns the marble to the bag. The results of the first 65 selections are shown below. White Marble - 41 times Yellow Marble - 24 times Based on these results, what is the probability that the next marble Mrs. Cole selects, rounded to the nearest percent, will be white?

answer choices
40%
50%
59%
63%​

Answers

I think the correct answer is 63 because 41 of 65 is 63.08 rounded to the nearest percent is 63

plzzzzzzzzzzzzzzzzzzzzzzzzz help me this is a grade

Answers

Answer:

1.83

Step-by-step explanation:

Answer:

I'm not good with models and modeling but the answer will be 1.83.

Given the following information: P(A) = 0.62 P(B) = 0.25 P(A and B) = 0.12 P(B given A) = 0.19 What is the probability of A or B? Round your answer to the nearest hundredth as needed. P(A or B) =|

Answers

Answer:

P(A or B) = 0.75

Step-by-step explanation:

Venn probabilities:

Supposing that we have two events A and B, the probability P(A or B) is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

In this question, we have that:

[tex]P(A) = 0.62, P(B) = 0.25, P(A \cap B) = 0.12[/tex]

So

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.62 + 0.25 - 0.12 = 0.62 + 0.13 = 0.75[/tex]

Then

P(A or B) = 0.75

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