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

20 decreased by the product of 5 and a number x

Answers

20 - 5x should be correct

In Jackie’s math class, there are 51 students and one-third of the class is boys. How many girls are there in Jackie’s math class?

Answers

Answer:

34 boys

Step-by-step explanation:

you divide 51 by 3 which gets yOU 17 and then you subtract 17 by 51 which gets you 34

the perimeter of a rectangle is 20cm. if the breadth of the rectangle is 2cm what is it's area

Answers

Answer:

perimeter =20cmbreadth=2cmlength=?

we know that

perimeter =2*(l+b)

20=2*(l+2)

20=2l+4

2l=20-4

2l=16

l=16/2

l=8

Help I need this quick!!

Answers

T(x) = 3x³ - 2x² - 6x - 5

T(2) = 3(2)³ - 2(2)² - 6(2) - 5

T(2) = 3(8) - 2(4) - 12 - 5

T(2) = 24 - 8 - 17

T(2) = 16 - 17

T(2) = -1 (B.)

If you had -$10 last week and -$8 this week, how do those two numbers compare? Explain what the inequality means in relation to the positions of these numbers on the number line. For which week did you have the greater debt?

PLEASE HELP!!
I NEED FOR DBA !!
WILL GIVE BRAINLIEST AND RATING
AND WRONG ANSWERS OR LINKS WILL BE REPORTED

Answers

We compare the two numbers by finding their difference. If we subtract -8 from -10, we get 2, because 10-8 = 2. We put this positive result next to the negative number on the number line above it (-10) to see how it compares to -8.

The greater debt is represented by the smaller number on the number line, so if you had -$2 last week and -$8 this week, you are in a better position financially.

Answer:

Tje answe kdn 8

Step-by-step explanation:

answer and please show work.​

Answers

For the equation y=3x−5 , the slope is 3 and the y-intercept is −5 .

Slope is equal to the change in y over the change of x, or rise over run.m=change in y / change in x

The change in x
is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called rise).
m= y2-y1/x2-x1.
Substitute in the values of x and y into the equation to find the slope.
m =-4 -(7)/ -6 -(-4)

Simplify.

m=11/2.

Urgently please it is due today

Answers

Answer:

1/4.

Step-by-step explanation:

There are 12 possible outcomes.

There are are 3 outcomes represented by 4B.

So required probability = 3/12 = 1/4.

If f(x)=X^2+1, g(x)=9x_1

Answers

Answer:

I dod not understand the question. Do you need to find the solution? ifso, it is (0,1)

Step-by-step explanation:

What are the terms in the following expression? Choose all that apply.

c + 4a + 2b + 7

Answers

Answer:

C, 4a, 2b and 7

Step-by-step explanation:

[ READ ATTACHMENTS ] !!! [ HELP ME ASAP PLEASE!! ]

A.) $4,000

B.) $5,100

C.) $4,100

D.) $3,900

Answers

Total up the Consumption,Investment, Government Spending and Exports then minus the Total Imports. So the correct answer is C. $4,100

Write 9 2/3 as a inpropper fraction

Answers

29/3

9/1 x3/3 = 27/3
27/3 + 2/3 = 29/3

Answer:

29/3

Step-by-step explanation:

hopes this helps :)

sales tax is 7% what is the amount of sales tax you would pay this bill​

Answers

% means per 100

so when figuring out percents it's good to use 100

so

on $100 7% would mean $7

on $50 7% would mean $3.5

in $200 7% would mean $14

f(1) = 4
f(x) = f(x-1) + 3
Find f(2)

Answers

f(2)= f(2-1)+3

f(2)=f(1)+3

93 is what percent of 300

Answers

[tex]\sf \longmapsto \: \dfrac{93}{300} [/tex]

[tex]\sf \longmapsto \: \dfrac{93}{300} \times x[/tex]

[tex]\sf \longmapsto \: \dfrac{93}{300} \times 100[/tex]

[tex]\sf \longmapsto \cancel\dfrac{93}{300} \times \ \cancel\dfrac{100}{100}[/tex]

[tex]\sf \longmapsto \: \dfrac{31}{100} [/tex]

[tex]\sf \longmapsto \: 31\%[/tex]

Find the slope of the line that passes through (7, 1) and (2, 3).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Slope formula: (y2-y1)/(x2-x1)
Plug in the values
(3-1)/(2-7) = 2/-5 = -2/5

The slope is -2/5

Answer:

-2/5

Step-by-step explanation:

slope equation is as follows -

(y1-y2)/(x1-x2)

now we just put (7,1) and (2,3) into the formula

(1-3)/(7-2)

-2/5

-3(u+4)-2u=2(u+1)
a) no solution
b) u=
c) All real numbers are solution

Answers

Answer: u = -2

Step-by-step explanation:

-3(u+4)-2u=2(u+1)

-3u-12-2u=2u+2

-5u-12=2u+2

-7u = 14

u = -2

Multiply as indicated. Write the product in standard form. An explanation is needed.
(2+i)^2

Answers

Answer:

2^2 + i^2  or 4 + i^2 (depending if the teacher wants it simplified or not)

Step-by-step explanation:

(2+i)^2

Basically just add the power to each number using the distributive property. 2 would go to 2^2 (which can be simplified to four) and i would go to i^2.  

PLEASE ANSWER THIS AS SOON AS POSSIBLE AND CORRECTLY
This table represents the number of inches, n, a plant grows after m, months in a new pot.

When graphed, all of the points in the table lie on the same line.

Months, m Plant height in inches, n
0 2
2 4
4 6
6 8
What are the slope and y-intercept of the line?

Question 1 options:

Slope = 2, y-Intercept = -4


Slope = -2, y-Intercept = -4


Slope = 1, y-Intercept = 2


Slope = -1, y-Intercept = 2

Answers

Answer:

Y-Intercept would be 2, Slope would be 1

Step-by-step explanation:

Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm

Answers

Answer:

936 cm²

Step-by-step explanation:

The surface area is the sum of all the faces.

The base is a rectangle with

area = 24 × 7 = 168 cm²

The back is a rectangle with

area = 18 × 7 = 126 cm²

The sloping face is a rectangle with

area = 30 × 7 = 210 cm²

The 2 triangular faces are congruent with

area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then

area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²

Then

surface area = 168 + 126 + 210 + 432 = 936 cm²

of a line in point slope form

Answers

☆Answer : (X1, Y1) = (7, 1)(X2, Y2) = (4, -2)

m = (Y2 - Y1)/(X2 - X1)

m = (-2 - 1)/(4 - 7)

m = -3/-3

m = 1

pls help will mark as brainlist ​

Answers

Step-by-step explanation:

total angle= 360°.

sides = 360/36 = 10 (decagon).

total angle= 360°

sides = 360/120 = 3(triangle).

hope this helps you to.

Answer this -
also can you answer faster kid?

Answers

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Let's assume the triangle having sides as A, B & C, With an extended exterior side as D. (Refer the above attachement for better view!)

We know that the angles opposite to equal sides of a triangle are equal.

AB = AC B = C

Now, Side BA of Triangle ABC has been produced to D.

∴ ∠CAD = B + C (Exterior angle = sum of int. opp. angles)

3x - 10 = 25 + x + 15

3x - 10 = 40 + x

3x - x = 40 + 10

2x = 50

x = 50/2

x = 25

∴ The value of 'x' in the given figure is 25!

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In which quadrant is the number –14 – 5i located on the complex plane?
I
II
III
IV
In which quadrant is the number –14 – 5i located on the complex plane? I II III IV

Answers

Answer:

III

Step-by-step explanation:

go 14 left and 5 down, and you're in the third quadrant

Answer:

III (Third quadrant)

Step-by-step explanation:

Okay, in terms of complex numbers, the x axis is the imaginary scale while the y axis is the real scale. And this works just like a normal x and y axis! We can break down -14-5i into -5i and -14, and -5i is the imaginary number on the x axis, so we move five units to the left from the origin. -14 is the real number, so we then move down 14 units, and we end up with a coordinate that is in the III, or third, quadrant.  Hope this helps! :)

NEED ANSWER ASAP!

Write an equation, in the form y = mx + b, that shows the linear relationship between the x and y values in the table.

Table: Below

Answers

Answer:

y = -5 + 2

Step-by-step explanation:

    We can use change in y over change in x to find slope:

[tex]\frac{y2-y1}{x2-x1} =\frac{-8--3}{2-1} =\frac{-8+3}{1} =-5[/tex]

So, our slope (aka m) is -5.

    For our b, or the y-intercept, we will need to find what value y is when x is 0. To do this, we will plug in a point for what we have so far, and then solve for b

y = -5x + b

-8 = -5(2) + b

-8 = -10 + b

2 = b

    And there is our equation,

y = -5 + 2

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

It costs $11 for 15 granola bars.

What is the unit price, in dollars per granola bar, rounded to the nearest hundredth?

Answers

Answer:

0.73

Step-by-step explanation:

Please can I have help on this?

Answers

Answer:

9 :)

Step-by-step explanation:its 9

ples help meeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

po 989r9  vcmc cohol,j

Step-by-step explanation:

solve by factoring x^2+5-14=0

Answers

Answer:

Factored -> (x+7)(x-2)

Step-by-step explanation:

If you are solving for x then its x= -7, x=2

6)$$;6?6?6?6gvhxhtfi

(X-3)(X-12)

Expand and simplify

Answers

Answer:

x^2-15x+36

Step-by-step explanation:

x(x-12)-3(x-12)

x^2-12x-3x+36

x^2-15x+36

Answer: X^2 -15x + 36

Step-by-step explanation:

(X-3) (x-12)

Multiply each term in the first bracket by each term in the second bracket

X^2 -12x -3x + 36

Collect like terms

X^2 -15x + 36

if a ll b and line c is perpendicular to line a then line b and c are?​

Answers

Answer:

perpendicular

Step-by-step explanation:

Answer:

Perpendicular

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