Substance A has 2% alcohol mixture, and substance B has 6% alcohol mixture. To mix substance A and B for a capacity of 60 liters with 3.2% alcohol mixture, how many liters of substance A and B are used each?

Answers

Answer 1

Answer:

18 liters of 6% substance B

42 liters of 2% substance A

Step-by-step explanation:

let x be the liters of 6%, the balance of 60 - x liters is the 2% together they make 60 liters of 3.2%

6x + 2(60 - x) = 3.2(60)

distribute

6x + 120 - 2x = 192

Combine like terms

4x = 72

Divide bothsides by 4

x = 18 liters of 6%

60 - x = 42 liters of 2%


Related Questions

Please solve step by step

Answers

Please report the picture, it is cut off :)

Answer:

Hopefully this is the question: 7[tex]x^{2}[/tex] + 3x - [tex]x^{2}[/tex]

Step-by-step explanation:

7[tex]x^{2}[/tex] + 3x -[tex]x^{2}[/tex]

= 6[tex]x^{2}[/tex] + 3x

= 3x ( 2x + 1 )

Hopefully this helps.

June has 30 days. A family of 3 used 3,960 gallons of water during the month of June. How many gallons of water did each person use each day.

Answers

Answer:

44 gallons

Step-by-step explanation:

3960/3=1320

Each person used 1320 in one month

1320/30=44

Amount of person used / 30 days = gallons used each day

Could someone help, please don't put any links!
Thanks!

Answers

Answer:

1. D (9/12)

2. B (1/4)

3. C (2^4x3x5)

Step-by-step explanation:

Hope this helps

Answer:

1) D 9/12

2) B 1/4

3) C 2^4 * 3 * 5

Step-by-step explanation:

1)

1/2 = 6/12

5/6 = 10/12

6/12 < 9/12 < 10/12, this is true.

2)

Although the visual representation doesn't give us exactly what the portion of each slice is, we can determine that the pizza is split into four equal slices. One of the slices is cut down even further, however, that doesn't change the fact that each of the other three pizza slices is 1/4. So the greatest pizza slice is equivalent to 1/4 of the pizza.

3)

Factor out 240:

240 = 120 x 2

120 = 60 x 2

60 = 30 x 2

30 = 15 x 2

15 = 5 x 3

2 x 2 x 2 x 2 x 3 x 5

Multiple the 2's together to get the following equation:

[tex]2^{4} * 3 * 5[/tex]

hospital in California is keeping track of the weight of a newborn baby. A newborn baby gains an average of 1.5 ounces per day. One baby currently weighs 72 ounces. Write an algebraic equation that describes the relationship between the number of days (d) and the total weight of the baby (w).

Fill in the blank for

w =

Answers

ANSWER

On average, a newborn drinks about 1.5-3 ounces (45-90 milliliters) every 2-3 hours

help please!! I don't get it :(​

Answers

Answer:

90 degree

Step-by-step explanation:

What they said 90 degrees

Select the correct answer.
Which expression is equivalent to 27x^4/x^2? Assume that the denominator does not equal zero.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent expression is ~

[tex] \boxed{27 {x}^{2} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve ~

[tex] \dfrac{27 {x}^{4} }{ {x}^{2} } [/tex]

[tex] \dfrac{27 \times x \times x \times x \times x}{x \times x} [/tex]

[tex]{27 \times x \times x}[/tex]

[tex]27 {x}^{2} [/tex]

[tex]\frac{7}{10} - \frac{2}{5}[/tex]

Answers

Answer:

[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

First, we need to make the denominators the same.

[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]

Then, we subtract the numerator.

[tex]\frac{7}{10} -\frac{4}{10} =\frac{3}{10}[/tex]

Find the LCD (lowest common denominator) of 10 and 5.
LCD of 10 and 5 is 10.
5 x 2 = 10 so, 2 x 2 = 4 because whatever you do to the denominator, you do to the numerator.
7/10 - 4/10 = 3/10

NEED HELP NOW thanks

Answers

Answer:

13 uvugugugugycycycycycycy

Step-by-step explanation:

cycle yvy

Step-by-step explanation:

it's somehow confusing because there's no coordinates for line k

what is the sum of 5.4 + (-9.7)

Answers

Answer:

-4.3

Step-by-step explanation:

-4.3

5.4 + (-9.7)
is the same as
5.4 - 9.7

I don’t understand what’s it asking for and I don’t know the answer

Answers

The question is asking you to put the ordered pair, (8,1) and m, which is the slope, 9, in the formula! We will replace y1 with 1, our y, and x1 with 8, our x! Then we will replace m with 9, our slope. This will give us y-1=9(x-8). If you want to simplify that equation, using the distributive property it would be, y-1=9x-72.

If you want me to explain linear equations, slopes, or whatever just ask!

Hope this helped!! :)

Answer:

y_1=9(x_8)

y_1=9x_72

9x_y=71

9x_y_71=0

Brent has 4.42 in pennies and dimes. If he has 163 coins in all, find the number of pennies and dimes

Answers

9514 1404 393

Answer:

132 pennies31 dimes

Step-by-step explanation:

If all of Brent's coins were pennies, their value would be 1.63. The value is actually 4.42 -1.63 = 2.79 more than that. Replacing a penny by a dime increases the value by .09. Hence there must be 2.79/.09 = 31 replacements.

Brent has 31 dimes and 132 pennies.

_____

Solution using an equation

You can write an equation that solve the problem in basically the same way. Let the variable represent the number of coins of highest value: d = dimes. Then the value (in cents) of the collection is ...

  1(163-d) +10d = 442

  9d +163 = 442 . . . . . . . . . . simplify (note 9 is the difference in value; 163 is the value of all pennies)

  9d = 442 -163 = 279 . . . . . . subtract 163

  d = 279/9 = 31 . . . . . . . . . . divide by 9

Brent has 31 dimes and 163-31 = 132 pennies.

Answer:

Step-by-step explanation:

49 kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost?

Answers

Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

4.5

Brian drove 638 miles in 11 hours.
At the same rate, how long would it take him to drive 754 miles?

Answers

Answer: 638 x= 754*11

638 x= 8294 then divide by both sides by 638

x = 13

she will drive 754 miles in 13 hrs.

Step-by-step explanation:

brainliest me

what is the verbal expression for 6f^2+5f

Answers

Answer:

f = 5/6 = 0.833  or f = 0

Step-by-step explanation:

help me pls...........​

Answers

Hello,

We need first to know what's a gradient. The Gradient (also called Slope) of a straight line shows how steep a straight line is.

But how do we find the slope (or Gradient) from two points ?

For exemple, let's find the gradient of the two points PQ...

Method

1. We need the coordinates of the point P, and the point Q :

P = (6 ; -11)

Q = (k ; -9)

2. The slope is the change in height divided by the change in horizontal distance.

In other words we :

a) subtract the x values

b) subtract the y values

c) divide

Application for PQ

subtract x values : xQ - xP = k - 6

subtract the y values : yQ - yP = -9 - (-11) = -9 + 11 = 2

divide : (k-6) / 2

That is the gradient of PQ.. Now let us find the gradient of PR

Application for PR

subtract x values : xR - xP = 2k - 6

subtract the y values : yR - yP = -3 - (-11) = -3 + 11 = 8

divide : (2k-6)/8

That is the gradient of PR.

We know that by assumption, gradient of PQ = gradient of PR, what is the value of k ? Well, we simply need to solve an equation here :

gradient of PQ = gradient of PR

(k-6) / 2 = (2k - 6) / 8

k-6 = (4k - 12)/8 (we have multiplied by 2 on each sides of the equation)

8k - 48 = 4k - 12 (we have multiplied by 8 on each sides of the equation)

8k - 4k = - 12 + 48

4k = 36

k = 36 / 4 = 9

So the value of k in order for the two gradients to be equals needs to be equal to 9

Good luck

if 3x+4y=11 and xy=2 solve simultaneously​

Answers

Answer:

(1, 2 ) and ([tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )

Step-by-step explanation:

3x + 4y = 11 → (1)

xy = 2 ( divide both sides by y , y ≠ 0 )

x = [tex]\frac{2}{y}[/tex] → (2)

Substitute x = [tex]\frac{2}{y}[/tex] into (1)

3([tex]\frac{2}{y}[/tex] ) + 4y = 11

[tex]\frac{6}{y}[/tex] + 4y = 11 ( multiply through by y )

6 + 4y² = 11y ( subtract 11y from both sides )

4y² - 11y + 6 = 0

Consider the factors of the product of the y² term and the constant term which sum to give the coefficient of the y- term

product = 4 × 6 = 24 and sum = - 11

The factors are - 8 and - 3

Use these factors to split the y- term

4y² - 8y - 3y + 6 = 0 ( factor first/second and third/fourth terms )

4y(y - 2) - 3(y - 2) = 0 ← factor out (y - 2) from each term

(y - 2)(4y - 3) = 0

Equate each factor to zero and solve for y

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]

y - 2 = 0 ⇒ y = 2

Substitute these values into (2)

y = 2 : x = [tex]\frac{2}{2}[/tex] = 1 ⇒ (1, 2 )

y = [tex]\frac{3}{4}[/tex] : x = [tex]\frac{2}{\frac{3}{4} }[/tex] = 2 × [tex]\frac{4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ⇒ ( [tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )

John's father spent 2 hours and 55 minutes working on his truck if it was 4:55 when he stopped what time did he start​

Answers

He started at 2 o’clock

Answer:

2

Step-by-step explanation:

4-2=2

55-55=0

so:

2:00

Everyday Jayden saves a half of his lunch money. By Friday he has $ 600. How much money does he get daily for lunch?​

Answers

The amount he gets for lunch is an illustration of mean and averages.

He gets for lunch is $240 daily

Represent the amount he gets for lunch each day be x.

So, the amount saved each day is x/2

From Monday to Friday, the total savings would be 5x/2

So, we have:

[tex]\mathbf{\frac{5x}{2} = \$600}[/tex]

Multiply both sides by 2

[tex]\mathbf{5x = \$1200}[/tex]

Divide both sides by 5

[tex]\mathbf{x = \$240}[/tex]

Hence, the amount he gets for lunch is $240 daily

Read more about mean and averages at:

https://brainly.com/question/16217700

solve for x, find the measure of all angles. ​

Answers

Answer:

x = 14

angles are 96, 42, 42

Step-by-step explanation:

sum of all angles in a triangle is 180

3x + 3x + 96 = 180

6x + 96 = 180

6x = 180 - 96

6x = 84

x = 14

angles are 96, 3x, 3x

96, 3*14, 3*14

96, 42, 42

Answer:

x=14

Step-by-step explanation:

3x + 3x + 96 = 180º    

6x +96º = 180º

6x = 180º - 96º

6x= 84

x = 14

An unopened cereal box contains 15/28 cubic foot of cereal. If the box is full, and the length and height of the box are 5/7 foot and 1 1/2 feet, respectively, what is the width of the box?

Answers

Answer: the answer is 1/2

Step-by-step explanation:

Determine the number of solutions you will have for the system: 1/3x+y=2 and 3y=6-x





One solution.


No solutions.


Infinite solutions.


Impossible to determine.

Answers

Answer:

infinity solution

solution:

-x-3y=-6

x+3y=6

what is the slope of (10,8) and (1,9)

Answers

Answer:

1/-9 or -0.111(repeating)

 

Step-by-step explanation:

Answer:

              (1,9)

Over to the right one. then up nine of a graph

Lizzy makes $1800 per month working in a nail Spa. And Jackie makes 1500 per month plus 20%
a
percent commission per service per costumer. How many nail services Jackie has to complete per
month in order to make as much as Lizzy does?

Answers

Based on the amount Lizzy makes per month, to reach that amount, Jackie would have to complete 75 nail services.

The difference between Lizzy's base salary and Jackie's is:

= 1,800 - 1,500

= $300

Assuming a nail service costs $20, the amount she makes per service is:

= 20% x 20

= $4

The number of nail services she needs to do is therefore:

= Difference in wages / Amount per service

= 300 / 4

= 75 nail services

In conclusion, Jackie needs to do 75 nail services.

Find out more at https://brainly.com/question/17700034.

I do this do y'all can get extra point and complete challenges!
What is 1 + 1
(hey, it's 100 points, you can do it)

Answers

Answer:

1 + 1 is 2

Step-by-step explanation:

very hard question

Answer:

Step-by-step explanation:

1+1= 2

what is the solution of this equation?
2y=24

Answers

2y= 24
Divide both sides by 2
2y/2 = 24/2
This will equal to: y=12

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

[tex]\large\boxed{\textsf{2y = 24}}\\\\\large\text{DIVIDE 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{2y}{2}=\dfrac{24}{2}}}\\\\\large\text{CANCEL out: }\rm{\dfrac{2}{2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{24}{2}}\large\text{ because it gives you the answer of the y-value.}\\\\\large\boxed{\mathsf{12= \dfrac{24}{2}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{y = 12}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{a = 12}}}\huge\checkmark[/tex]

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

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

Help please quick I don’t understand this stuff

Answers

Hello,

(i) Express n as the subject.

[tex]C=\frac{nA}{n+12}[/tex]

[tex]C(n+12) = nA\\nC + 12C = nA\\\frac{nC+12C}{n}=\frac{nA}{n} \\\frac{nC}{n}+\frac{12C}{n} = A \\\frac{12C}{n} =A-C\\\frac{n}{12C}=\frac{1}{A-C} \\n = \frac{12C}{A-C}[/tex]

(ii)

Since C = 6 mL and n = 8 we need to solve this equation of unknown A :

[tex]6 = \frac{8A}{8+12} \\6 = \frac{8A}{20}\\8A = 20*6\\A = \frac{5*4*2*3}{4*2}\\A = 15[/tex]

Thus, the equivalent adult dosage A would be 15 mL

(iii) I let you think about this one

Good Luck

Below are 2 similar triangles

The area of triangle A is 20cm^2 work out the area of triangle B

Answers

i need more information to answer

Jesse played two days of golf. On the second day, he got a score of 6 below par, or

6
. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.










Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−6. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.

Answers

Step-by-step explanation:

1.A

2.A

3.A

4.C

5.A

6.A

7.C

8.D

9.A

10.C

11.C

12.C

13.D

14.B

15.B

16.A

17.C

18.A

19.B

20.C

21.B

22.D

23-27 Write in

Equation
Graph
y = 2x +

y=-*x+2

y = –20 - 3

y = 3x - 2

Answers

Answer:

I had to interpret y=-*x+2  and y = –20 - 3:

y = -x+2 and y=-20x-3

Graph the equations on DESMOS.  The result is attached.

Step-by-step explanation:

PLEASE HELP I WILL MARK BRANLIEST

Prove triangles below congruent by SSS, SAS, AAS, ASA, or HL. If not congruent choose NC. (multiple choice)


ASA

HL

NC

SSS

AAS

SAS

Answers

Answer:

SAS

Step-by-step explanation:

We must prove that triangles ABC and EDC are congruent.

Since BD bisects AE, then AC is congruent with CE.

Since AE bisects BD, then BC is congruent with CD

Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.

Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.

Answer: SAS

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