A chemist has two solutions of HNO3. One has a 40% concentration and the other has a 25% concentration.
How many liters of each solution must be mixed to obtain 57 liters of a 26% solution?

Answers

Answer 1

Step-by-step explanation:

Let +a+ = liters of 40% solution needed

Let +b+ = liters of 25% solution needed

+.4a+ = liters of HN03 in 40% solution

+.25b+ = liters of HN03 in 25% solution

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

(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+

(2) +a+%2B+b+=+57+

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

(1) +.4a+%2B+.25b+=+.26%2A57+

(1) +.4a+%2B+.25b+=+14.82+

(1) +40a+%2B+25b+=+1482+

Multiply both sides of (2) by +25+

and subtract (2) from (1)

(1) +40a+%2B+25b+=+1482+

(2) +-25a+-+25b+=+-1425+

+15a+=+57+

+a+=+3.8+

and, since

(2) +a+%2B+b+=+57+

(2) +3.8+%2B+b+=+57+

(2) +b+=+53.2+

3.8 liters of 40% solution are needed

53.2 liters of 25% solution are needed

check:

(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+

(1) +%28+.4%2A3.8+%2B+.25%2A53.2+%29+%2F+57+=+.26+

(1) +%28+1.52+%2B+13.3+%29+%2F+57+=+.26+

(1) +14.82+=+.26%2A57+

(1) +14.82+=+14.82+

think you should got the answer


Related Questions

PPPPPPPPPPPPPPLLLLLLLLLLLLLLEEEEEEEEEEEEESSSSSSSSSSSSSSSAAAAAAAAAAAAASSSSSSSSSSSSSSSSSSSSEEEEEEEEEEE help me!

Answers

Answer:

a

Step-by-step explanation:

help asap please!! :(( I need help

Answers

Answer:

m1= 43

m2=17

m3=120

m4=m5=m6=60

m7=17

m8=120

m9=43

Step-by-step explanation:

"Given ABC is an isosceles triangle and DBE is an equilateral triangle. we have to find each missing measure.

In triangle ABC,

∠1=∠9    (∵isosceles triangle)

⇒ 4x+3=9x-47

⇒ 9x-4x=3+47 ⇒ 5x=50 ⇒ x=10

Hence, ∠9=∠1=(4x+3)°=4(10)+3=43°

Also, given ΔBDE is an equilateral triangle, and all angle of equilateral triangle are equal.

∴ ∠4+∠5+∠6=180°

⇒ ∠4+∠4+∠4=180° ⇒ 3∠4 = 180° ⇒ ∠4 = 60°

∴ ∠4=∠5=∠6=60°

By exterior angle property, ∠3=∠5+∠6=60°+60°=120°

                                            ∠8=∠5+∠4=60°+60°=120°

In ΔABD, ∠1+∠2+∠3=180°

            ⇒ 43°+120°+∠2=180°⇒ ∠2 = 17°

In ΔABD, ∠9+∠8+∠7=180°

            ⇒ 43°+120°+∠7=180°⇒ ∠7= 17°"

by SerenaBochenek

Best answer gets brainleist 5a through 5d

Answers

Answer:

x=6

Step-by-step explanation:

5a) 5x-7=2x+18

5b) 6

5c) 23

5d) 30

Write three fractions that are equivalent to 5/7

Answers

Answer:

10/14 or 10 over 14, 15/21 or 15 over 21, and 20/28 or 10 over 28

Step-by-step explanation:

you multiply both numbers by 2, 3, and 4 to make equivalent fractions.

Brainliest would be appreciated thank you!

Which is the solution to 5 <3x + 17 <71?

Answers

Answer:

D is the most likely answer

Step-by-step explanation:

this problem is strange, but knowing that 3x + 17 has a domain of all reals, all of them are possible, so the only limits are 5 and 71...

round to the nearest tenth 2.380952381

Answers

Answer:

2.4

Step-by-step explanation:

2.380952381 < 2.4

the decimal digits all round up to the next tenth

Can someone help me with number 4?

Answers

The US: 300m World: 9b Most accurate: B

300m•20=6b population

B is the most accurate

HELP, PLEASE HELP ME

Answers

8x=10
8(1)=8
8(1.5)=12
8(1.25)=10
X=1.25
The scale factor is 1.25 or 5/4

What fraction is equivalent to 0.5 + 0.4

Answers

Answer:

9/10

Step-by-step explanation:

I used a calculator ! :)

What is the value of the digit 6 in
59,732.106?
6 hundredths
B
6 ten-thousandths
6 tentos
6 thousandths

Answers

ten thousandths because it goes tenths hundredths ten thousandths

Answer:

6 thousandths.

Step-by-step explanation:

The 1 in the number 59,732.106 would the tenth value.

The 0 in the number 59,732.106 would be the hundreth value since its past the decimal point,

The pattern goes by the tenth, hundredth, thousandth, and then ten-thousandth.

-kiniwih426

Please help me !! Marking brainliest
Which number is the greatest?
A the square root of 125
B the whats root of 30

Answers

Answer:

B) √(30)

Step-by-step explanation:

A: The cube root of 125 is 5 because 5^3, or 5 × 5 × 5, equals 125.

B: The square root of 30 is between the numbers 5 and 6, meaning 30 is between 25 and 36. The square root of 30 is about half-way in between 5 and 6, so we can say √(3) ≈ 5.5

Now, when we compared 5.5 and 5, 5.5 is obviously greater. Therefore, the correct answer is B √(30).




A factory uses 220,000 gallons of water to produce
2 tons of steel. How many gallons of water are
needed to produce 1 pound of steel?


A 55 gallons
B 110 gallon
C 110,000 gallon
D 440,000 gallon

Answers

2 tons = 4,000 pounds

So, 220,000 gallons of water is used to produce 4,000 pounds of steel.

4,000 pounds = 220,000 gallons

Divide both sides by 4,000 to get:

1 pound = 55 gallons.

So the correct answer is A.

Which line on the graph below has an undefined slope?

Answers

Line R has the undefined slope

Answer:

C/R

Step-by-step explanation:

Find and correct the error!

Answers

Answer:

Step-by-step explanation:

Jen 's drawing shows that the lines are parallel in fact they are not parallel !  Since their slopes are not equal !

[tex]\displaystyle \left \{ {{y=2x+3} \atop {-y=2x+1}\ \ |\cdot (-1) } \right. => \left \{ {{y=\boldsymbol {2}x+3} \atop {y=\boldsymbol {-2}x-1}} \right. => -2\neq 2[/tex]

They will intersect at point A with coordinates  :

[tex]2x+3=-2x-1 \\\\ 4x=4 \\\\ x=-1 \ ; \ y=1 => A(-1 \ ; \ 1)[/tex]

if the breadth of rectangle in one fourth of its length and perimeter is 60 cm ,find the length and breadth of rectangle​

Answers

Answer:

Breadth/width = 1.936cm, length = 7.746cm

Step-by-step explanation:

Perimeter of a rectangle would be [tex]2L*2W=60cm[/tex] in this case. Breadth is width.

But we can rewrite this equation given that the width is 1/4 the length. This means 4 of the widths would equal one length.

[tex]W=\frac{1}{4}L[/tex]

[tex]L=4W[/tex]

We can substitute L with the 4W

[tex]2(4W)*2(W)=60cm[/tex]

Now we can just solve for the width W.

[tex]8W*2W=60\\16W^2=60\\W^2=\frac{15}{4} \\W=\sqrt{\frac{15}{4} } \\W=\frac{\sqrt{15} }{2}=1.936cm[/tex]

We now know the width is about 1.936cm

We can find the length given our formula before of [tex]L=4W[/tex]

[tex]L=4(\sqrt{\frac{15}{2} } )=2\sqrt{15} =7.746cm[/tex]

So the breadth/width is 1.936cm and the length is 7.746cm.

Please help me with this

Answers

answer

is 13.21 because i did the promble on the calculatoor

what is 6 ( 4 - x) + 2 =
3

Answers

Answer:

x= 23/6

x=3.83

x= 3 5/6

all of those are the answers and are equal

hope this helped

can I plz be brainiest

Two numbers multiply to be 6 and add to be 5. What are the numbers?

Answers

Answer:

The numbers are 2 and 3.

Step-by-step explanation:

Answer:

3 and 2

Step-by-step explanation:

3 x 2= 6

3+2=5

the output is 7 times the input minus 2

Answers

Answer:

7x-2

Step-by-step explanation:

A ticket to a movie theater costs $5.25. A large lemonade costs $3 and a small popcorn costs $1.55. What is the total cost of going to the movie and buying a large lemonade and a small popcorn?

Answers

Answer:

Your answer is 9.8

Step-by-step explanation:

Well, this is fairly simple... You're adding the cost for the move, the cost for large lemonade, and the cost for a small popcorn.

5.25+3= 8.25 | 8.25+1.55= 9.8

Your answer is 9.8

Answer:

$9.80

Step-by-step explanation:

Add the cost of the ticket, lemonade, and popcorn.

total cost=5.25+3+1.55

total cost=9.8

Which means $9.80

find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4

Answers

n ∈ natural even numbers

Step-by-step explanation:

1 + 3 + 5 + 7 + … + (2n-1)

a = 1b = 2Uₙ = 2n - 1

sum of the first n terms :

Sₙ = n/2(a + Uₙ)

Sₙ = n/2(1 + 2n - 1)

Sₙ = n/2(2n)

Sₙ = n²

∴ so, the solution of n is all natural even numbers

Refer to the attachment

There's a roughly linear relationship between the length of someone's femur (the long
leg-bone in your thigh) and their expected height. Within a certain population, this
relationship can be expressed using the formula h = 63.4 +2.41f, where h
represents the expected height in centimeters and f represents the length of the
femur in centimeters. What is the meaning of the f-value when h=123?

Answers

Answer:

24.73

Step-by-step explanation:

h=63.4+2.41f

h=123

123=63.4+2.41f

59.6=2.41f

24.73=f

If the value of h is 123. Then the length of the femur will be 24.73 centimeters.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

h = 63.4 + 2.41 f

Where h represents the expected height in centimeters and f represents the length of the femur in centimeters.

If the value of h is 123. Then the f-value is given as,

123 = 63.4 + 2.41 f

2.41 f = 59.60

f = 24.73 cm

Assuming that the worth of h is 123. Then, at that point, the length of the femur will be 24.73 centimeters.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

jordan has 785$ in his savings account. he withdraws 15% of money to pay for school clothes. which is the best estimaye for the amount of money jordan withdraws?

Answers

Answer:

52%

Step-by-step explanation:

you got to divide 15 by 785. First 15 goes into 78 5 times which is 75. Then subtract 78 by 75 which is 3. Then bring down the 5 which makes 35 and then 15 goes into 35 two times which is 30 subtract 35 by 30 which is 5 bring up the 5 into a fraction and the ansewer in percentage is  52%.

Evaluate: 7.921 x 104.

79,210,000

7,921

792.1

79,210 Will mark brainly
Need now!!

Answers

Answer:

79,210,000

Step-by-step explanation:

:)

please help me solve this problem and figure out how to solve it

Answers

The answer to your problem is 12

Pls help! Consider graphing the linear inequality y>2x-1 on the coordinate plane. Which statement is true?
A. The graph will have a SOLID boundary line, with shading ABOVE.
B. The graph will have a SOLID boundary line, with shading BELOW.
C. The graph will have a DASHED boundary line, with shading ABOVE.
D. The graph will have a DASHED boundary line, with shading BELOW.

Answers

Step-by-step explanation:

given the linear inequality y >2x-1 on the coordinate plane.

the true statement is:

C. The graph will have a DASHED boundary line, with shading ABOVE.

for '>' meaning dashed line

Answer:

C. The graph will have a DASHED boundary line, with shading ABOVE.

Step-by-step explanation:

When graphing inequalities:

< or > : dashed line≤ or ≥ : solid line< or ≤ : shading under the line> or ≥ : shading above the line

Given inequality:

[tex]y > 2x-1[/tex]

Therefore, the graph will have a dashed boundary line and shading above the line.

Learn more about graphing inequalities here:

https://brainly.com/question/27743925

https://brainly.com/question/27959739

what is the slope of the number set of 4,1 and 4,8?

Answers

Answer:

The entered points belong to a vertical line. There is no slope.

Step-by-step explanation:

Oigan me pueden resolver todo esto por favor,ya me lo están pidiendo y es para hoy porfavor!

Answers

Answer:

No ingles

Step-by-step explanation:

Sorry not sorry

An equation is given.




y=3x+cy=3x+c


​Create an equivalent equation by solving for x in terms of y and c.

x=

Answers

Answer:

Step-by-step explanation:

123

Divide: (1.2 x 10⁷) / (3.0 x 10⁵)

Multiply: (1.5 x 10⁴) x (3.0 x 10⁶)

Answers

Answer:

divide: 40

multiply:4.5x10^10

Step-by-step explanation:

Other Questions
Two numerical patterns are shown below: Pattern A: 4, 8, 12, 16, 20 Pattern B: 8, 16, 24, 32, 40 Select the statement that describes the numerical patterns. The terms in Pattern B are one half the value of the corresponding terms in Pattern A. The terms in Pattern A are one half the value of the corresponding terms in Pattern B. The rule for Pattern B is "multiply by 4." The rule for Pattern A is "multiply by 2." Guys this test is for a huge grade so pls help thank you.In Mexico this year Monarch butterflies are occupying 14.99 acres in the mountains of Miochan. That's an increase from 6.12 acres a year ago. What is the percent of change? please help me !!!!!!!!!!!! A speaker is in the shape of a cube with an edge length of 3.5 inches. The speaker is sold in a package in the shape of a square prism with a base area of 16 square Inches and a height of 4.25 inches Part A How much empty space, in cubic Inches, remains in the package after the speaker is placed in the package? 1) WHAT ARE THE ARTICLES AND AMENDMENTS TO THE CONSTITUTION 27. What are aesthetics?A. a written description of a characterB. the things that make a piece beautiful or emotionally appealingC. the act of choosing exactly what will be inside the frameD. the full range of colors you can use to draw or paint Which type of muscle is long and striated and contains multiple nuclei?Smooth MuscleCardiac MuscleMuscle of the Digestive SystemSkeletal Muscle Which of the social, economic or educational philosophy are you most thankful for? What do you think will our modern life be like without that idea? you get $2,000 loan at 9% interest rate and pays it back in 6 months. how much intereast will you pay on the loan Name and describe the type of unemployment to which outsourcing most contributes, and give an example of how this occurs. Which statement is true about the factorization of 30x2 + 40xy + 51y2?A.B.C.D How can prior knowledge help you? 2345621874+9863412689 hello please help thanks ill give brainliest! 2. How do you think plant cells differ from animal cells? A train arrives at the station with 150 passengers on board. 2/5 of the passengers get off the train in seattle , and then 35 passengers board the train . How many passengers are on the train when it leaves the station? why is it important that your goal should be measurable Marisa necesita ropa. La camisa va a ________ setenta pesos. Es cara.Group of answer choicesmirarcomprarpagarcostar please help giving brainliest What is the only place in cells where oxygen, enzyme, and food molecules can combine to release energy