In the lab, Charmaine has two solutions that contain alcohol and is mixing them with each other. Solution A is 12% alcohol and Solution B is 40% alcohol. She uses 800 milliliters of Solution A. How many milliliters of Solution B does she use, if the resulting mixture is a 32% alcohol solution

Answers

Answer 1

Answer: Charmaine wil use 2000 mL of solution B

Step-by-step explanation: Suppose that volume of solution B for the mixture is J.

Volume of solution A used is [tex]V_{A}[/tex] = 0.12*800

Volume of solution B used is [tex]V_{B}[/tex] = 0.4*J

Volume Total is V = 800 + J

0.12*800 + 0.4*J = 0.32(800 + J)

96 + 0.4J = 256 + 0.32J

0.08J = 160

J = 2000

Volume of solution B is 2000mL or 2L.


Related Questions

Help urgently please❤️

Answers

Answer:

1. 677 inches = 18.056 yards

677 inches  = 56.416 feet

677 inches = 677 inches

2. QP = 23.5 cm

3. The perimeter = 53.5 cm

Step-by-step explanation:

1. To convert, 677 inches to yards, we have;

1 inch = 0.0277778 yards

677 inches = 677*0.0277778 = 18.056 yards

To convert, 677 inches to feet, we have;

1 inch = 0.083333 feet

677 inches = 677*0.083333  = 56.416 feet

To convert, 677 inches to inches, we have;

1 inch = 1 inch

677 inches = 677*1  = 677 inches

2. We have that ∠PRQ and ∠PRS are supplementary angles (angles on a straight line

Given that ∠PRS = 90°, ∠PRQ = 180° - 90° = 90°;

∠PRQ + ∠PQR + ∠RPQ = 180°, sum of angles in a triangle

∠PQR = 24° given

∠PRQ = 90°

∴  ∠RPQ = 180° - 90° - 24° = 66°

∴∠SPQ = ∠SPR + ∠RPQ = 36° + 66° = 102°

∠QSP + ∠SPQ + ∠PQS = 180° (sum of angles in a triangle)

∠QSP = 180° -∠SPQ - ∠PQS = 180° -102° - 24 = 54°

By sine rule, we have;

a/(sin(A)) = b/(sin(B))

Therefore, we have;

11.8/(sin(24)) = QP/(sin(54°))

QP = (11.8/(sin(24))) × (sin(54°)) = 23.5 cm

3. From trigonometric ratios, we have;

tan(43°) = BC/CA = BC/(16.2 cm)

BC = 16.2 cm × tan(43°) = 15.1

By Pythagoras theorem, we have;

AB = √(15.1² + 16.2²) = 22.2

The perimeter = 15.1 + 16.2 + 22.2 = 53.5 cm

Which value of m will create a system of parallel lines with no solution? y=mx-6 8x-4y=12 A coordinate grid with one line labeled 8 x minus 4 y equals 12. The line passes through a point at (0, negative 3), (1, negative 1) and a point at (1.5, 0). -2 - 2

Answers

Answer:

A system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2

Step-by-step explanation:

The equation of the given line is 8·x - 4·y = 12

Which gives;

8·x- 12= 4·y

y = 2·x - 3

Given that the line passes through the points (0, -3) and (1, -1), we have;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

When (x₁, y₁) = (0. -3) and (x₂, y₂) = (1, -1), we have;

[tex]Slope, \, m =\dfrac{(-1)-(-3)}{1-(0)} = 2[/tex]

y - (-3) = 2×(x - 0)

y = 2·x - 3 which is the equation of the given line

For the lines 8·x - 4·y = 12, which is the sane as y = 2·x - 3 and the line y = m·x  - 6 to have no solution, the slope of the two lines should be equal that is m = 2

Given that the line passes through the point (1.5, 0), we have;

y - 0 = 2×(x - 1.5)  

y = 2·x - 3...................(1)

For the equation, y = m·x  - 6, when m = 2, we have;

y = 2·x  - 6..................(2)

Solving equations (1) and (2) gives;

2·x - 3 = 2·x  - 6, which gives;

2·x - 2·x=  - 3 - 6

0 = 9

Therefore, a system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2.

Answer:

short answer is 2 or d

Step-by-step explanation:

Write the point-slope form of an equation of the line through the points (6,-1) and (5,-7).

Answers

Answer:

slope of the line containing the given points (6,-1) AND (5,-7) is 6

point- slope form of the equation is

(y+1)= 6(x-6)  ( because, i'm choosing the point (6,-1)

Step-by-step explanation:

slope = (-7 + 1) / (5 - 6 ) = -6/-1 = 6

(y-y1) = m ( x - x1)

(y+1 ) = 6 ( x-6)

ASAP! Please help me!!!

Answers

Answer:

120 cm³

Step-by-step explanation:

First we have to find out area of the base

[tex]s = \frac{a + b + c}{2} [/tex]

[tex] = \frac{5 + 12 + 13}{2} [/tex]

[tex] = \frac{30}{2} [/tex]

[tex] = 15[/tex]

Area of base = [tex] \sqrt{s(s - a)(s - b)(s - c)} [/tex]

[tex] = \sqrt{15(15 - 5)(15 - 12)(15 - 13)} [/tex]

[tex] = \sqrt{15 \times 10 \times 3 \times 2} [/tex]

[tex] = \sqrt{5 \times 3 \times 5 \times 2 \times 3 \times 2} [/tex]

[tex] = 2 \times 3 \times 5[/tex]

[tex] = 30 \: {cm}^{2} [/tex]

Now, let's find the volume of triangular pyramid

[tex] = \frac{1}{3} \times a \times h[/tex]

[tex] = \frac{1}{3} \times 30 \times 12[/tex]

[tex] = 120 \: [/tex] cm³

Hope this helps..

best regards!!

Social Networking Sites
In a survey of 2255 randomly selected US adults (age 18 or older), 1787 of them use the Internet regularly. Of the Internet users, 1054 use a social networking site.7 Find and interpret a 95% confidence interval for each of the following proportions:________
(a) Proportion of US adults who use the Internet regularly.
(b) Proportion of US adult Internet users who use a social networking site.
(c) Proportion of all US adults who use a social networking site. Use the confidence interval to estimate whether it is plausible that 50% of all US adults use a social networking site.

Answers

Answer:

(a). ( 0.776 ,0.809).

(b). (0.567 , 0.613).

(c). 0.600.

Step-by-step explanation:

Okay, we are given the following set of values or data or parameters;

=> "A survey of 2255 randomly selected US adults (age 18 or older)"

=> "1787 of them use the Internet regularly. Of the Internet users, 1054 use a social networking site".

=> Also, "95% confidence interval for each of the following proportions"

Therefore, we are going to make use of one (major ) mathematical formula in solving this particular Question and it is given below;

Confidence Interval = p +/- z* × [ √p( 1 - p) / n].

(a).

Where p = 1787/2255 = 0.793.

95% confidence Interval = z* = 1.96.

= 0.793 +/- 1.96 × [√0.793 ( 1 - 0.793)/ 2255] .

= 0.793 +/- 0.0167.

= ( 0.776 ,0.809).

(b). Where p = 1054/ 1787 = 0.5900

95% confidence Interval = z* = 1.96.

= 0.5900 +/- 1.96 × [√0.5900 ( 1 - 0.5900)/ 1787]

= 0.5900 +/- 0.0228.

= (0.567 , 0.613).

(c). 1054/1787 = 0.59 = 0.600.

Answer:

your answer is the third one

Step-by-step explanation:

calculate EG if a=5 and b=15

Answers

I think the answer is 8.66

Find the area of this shape.
4 cm
2 cm
4 cm
4 cm
-
1
5.75 cm
1
1
The area of the shape is __
square centimeters.

Answers

Answer:

shape AREA= 35cm^2

Step-by-step explanation:

you should know that this shape is a combination of triangle and trapezoid. therefore you have to find the area of each shape and add them.

A=h/2(b1 + b2) for trapezoid

A=2/2((4+4)+4)

A=1*12

A=12cm^2

A=bh/2. for TRIANGLE

A=1/2((4+4)*5.75)

A=1/2(46)

A=23cm^2

shape AREA= triangle AREA + trapezoid AREA

shape AREA=12cm^2 + 23cm^2

shape AREA= 35cm^2

At Sami's Shoe Warehouse, it takes 4 over 5 of a day to complete 1 over 10 of an order of sneakers. At this rate, how long will it take to complete the entire order of sneakers?

Answers

Answer:  8 days

Step-by-step explanation:

Given, At Sami's Shoe Warehouse, it takes 4 over 5 of a day to complete 1 over 10 of an order of sneakers.

i.e. [tex]\dfrac{4}{5}[/tex] x  (1 day) = [tex]\dfrac{1}{10}[/tex] x (an order of sneakers)

Multiply 10 on both the sides , we get

[tex]\dfrac{4}{5}\times10[/tex] x  (1 day) = [tex]\dfrac{1}{10}\times10[/tex] x (an order of sneakers)

⇒[tex]4\times2[/tex] x  (1 day) = an order of sneakers

⇒[tex]8[/tex] x  (1 day) = an order of sneakers

i.e. Time to complete an order of sneakers = 8 days

Hence, it will take 8 days to complete the entire order of sneakers.

Answer: 8 days total

Step-by-step explanation:

HELPPPP I need help finding x a and b pleaseeee

Answers

Answer:

5x-18 this angle is equal to 92

3x+22 this angle is equal to 88

angle a=88

angle b=92

Step-by-step explanation:

set 5x-18 and 3x+22 equal to 180 and solve to get x=22. Now look for ways to fill in a and b. A is an alternate interior angle that will be equal to 3x+22

angle b will be equal to the angle 5x-18

Answer:

The value of x is22°, a is 88° and b is 92°.

Hope it helps..

what is 3x^3 - 11x^2 - 26x + 30 divided by x-5?

Answers

Answer:

Most likely the answer is

3x^2+4x-6

Answer:

3x^2+4x-6 is correct

dosto answer and main mixed fraction main aana chahiye it's very important.​

Answers

Answer:

32-(7-17)+11

32-(-10)+11

32+11-(-10)

43-(-10)

53

Answer this in two minutes

Answers

Answer:

900

Step-by-step explanation:

a heptagon has 7 sides, so we take the hexagon's sum of interior angles an and add 180 to it's getting us, 720 + 180 = 900 degrees

how to do this question plz answer me step by step plzz plz​

Answers

Answer: 4cm

Step-by-step explanation:

Ok so no matter the orientation of the carton, it will contain the same volume of milk. We can use the fact it's volume of milk will stay constant to find out it's new depth.

Before being turned over the milk volume is:

5 * 8 * 12 = 480. This is because the volume of a cuboid is length * width * height (depth).

Therefore the volume of the milk once turned over is 480

When on it's side, the volume of the milk equals

8 * 15 (the base) * depth

120 * depth

120 * depth = 480

so the depth = 4cm

What else would need to be congruent to show that ABC= ADEF by SAS?

A. ZCE ZF
B. BC = EF
O C. ZA= ZD
D. AC = DF

Answers

Answer:

The correct option is;

c. ∠A ≅ ∠D

Step-by-step explanation:

The given information are;

[tex]\overline{AB}\cong \overline{DE}[/tex]                      

[tex]\overline{AC}\cong \overline{DF}[/tex]

Therefore, for Side Angle Side, SAS, condition of congruency, we have;

The included angle should be congruent that is ∠C ≅ ∠D

Two triangles, triangle ABC and triangle XYZ for example, having two adjacent sides, AB and AC in triangle ABC and XY and XZ in triangle XYZ of corresponding length such that AB ≅ XY and AC ≅ XZ and also having congruent included angles between the two sides (∠A ≅ ∠X), the two triangles are said to be congruent.

For triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D

What is the SAS Congruence Theorem?

SAS means, side-angle-side congruence theorem, which states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent angles that are included angles (in between the two congruent sides).

Therefore, for triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D

Learn more about SAS congruence theorem on:

https://brainly.com/question/14252518

PLEASE HELP ME!!! I will give the BRAINLIEST for whoever answers it CORRECTLY!

Answers

Answer:

Add equations A + B to eliminate y

Then add equations A and C to eliminate y

Step-by-step explanation:

Since all the equations have y with a coefficient of 2, I would eliminate y

Add equations A + B to eliminate y

Then add equations A and C to eliminate y

Answer:

the 3rd choice

Can someone help me solve this :): ?

( brainliest to the correct answer/explanation)


Answers

Answer:

1and1/2yrs ago

Step-by-step explanation:

price dis year= 56545

reduction per year= 11309

...number of years ago = 73810-56545=17265

and is about 20% of annual deductions

so if 56545 +20% + 1/2 20% = 1nd1/2 yrs

HELP!


Please answer i)

Answers

Answer:

(i) The increase expected in the share price between the first year and the third year is $0.90

(ii) The 10th year

Step-by-step explanation:

(i) The given relation is [tex]V = 2.95+2\cdot log_{10}\left (10\cdot t + 1 \right )[/tex]

In the first year, we have t = 1, which gives;

[tex]V = 2.95+2\cdot log_{10}\left (10\times 1 + 1 \right ) = 2.95+2\cdot log_{10}\left (1 1 \right ) = \$5.03[/tex]

In the third year, we have t= 3 which gives;

[tex]V = 2.95+2\cdot log_{10}\left (10\times 3 + 1 \right ) = 2.95+2\cdot log_{10}\left (31 \right ) = \$5.93[/tex]

Therefore, the increase expected in the share price between the first year and the third year is $5.93 - $5.03 = $0.90

(ii) When the share price value becomes >$7.00, we have;

[tex]7 = 2.95+2\cdot log_{10}\left (10\cdot t + 1 \right )[/tex]

Which gives;

7 - 2.95 = 2·㏒(10·t + 1)

4.05/2 = ㏒(10·t + 1)

2.025 = ㏒(10·t + 1)

[tex]10^{2.025} = 10 \cdot t + 1[/tex]

105.93 = 10·t + 1

104.93 = 10·t

t = 104.93/10 = 10.493 ≈ 10.5 years which is within the 10th year.

Check all that apply. If tan theta = 15/8 then:​

Answers

Answer:

B, C, D

Step-by-step explanation:

if tan theta = 15/8 then the hypotenuse is 17

therefore the correct answers are B, C, D

plz plz, answer it hurry.

Answers

Answer:

c

Step-by-step explanation:

Answer:

I think it's b.

Step-by-step explanation:

Let's just say that in the first square, all sides equal 4. In this square, if you cut out a piece the perimeter will stay the same. Let's check:

First square: 4+4+4+4=16

Second square: 3+4+4+2+1+2=16

So yes, it's b.

What is the slope of the line that contains the points (-5, 6) and (14.-7)?
O A.
7
19
B.
7
5
C.
13
5
O D.
13
19

Answers

Answer:

D = - 13/19

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1) = (6- (-7))/(-5-14) = -  13/19

Which expression is equivalent to 17s-10+3(25+1)?
23s-9
23s-7
115-7
115-9

Answers

Answer:

17s + 68.

Step-by-step explanation:

17s - 10 + 3(25 + 1)

= 17s - 10 + 3 * 26

= 17s - 10 + 78

= 17s + 68.

Hope this helps!

Answer:

its b 23s - 7

Step-by-step explanation:

took the test

Select the correct answer.
What is the justification for step 2 in the solution process?

10x − 25 − 3x = 4x − 1
Step 1: 7x − 25 = 4x − 1
Step 2: 7x = 4x + 24
A.
the multiplication property of equality
B.
the division property of equality
C.
the addition property of equality
D.
the subtraction property of equality

Answers

Answer:

The answer is C addition property of equality.

Step-by-step explanation:

In step 1, 7x − 25 = 4x − 1 there are the numbers -25 and -1

In step 2, 7x = 4x + 24 The -25 is removed and -1 is replaced with 24

Meaning that in step 2 25 was added to those numbers meaning the answer C addition property of equality.

Answer:

C

Step-by-step explanation:

Calculate the perimeter of this trapezoid

Answers

Answer:

31 cm

Step-by-step explanation:

The perimeter is the sum of the sides so the answer is 8 + 10.5 + 9 + 3.5 = 31 cm.

Does this graph represent a function? Why or why not?


Answers

yes it doesn’t repeat x values

Answer:

Yes

Step-by-step explanation:

This graph represents a continuous function. That means that the line can be drawn without lifting your pen/pencil from the graph. You can tell that it is a function by doing the vertical line test. Since there is only one output for every input on the graph, it would be a function.

(Thanks to the users who caught my previous error :)

PLEASE HELP IMMEDIATELY!!!! Find x when – Negative one-half + x = –Negative StartFraction 21 over 4 EndFraction. – Negative StartFraction 23 over 4 EndFraction – Negative StartFraction 19 over 4 EndFraction 19/4 23/4

Answers

Answer:

-61/4

Step-by-step explanation:

-1/2 + x = - 21/4 - 23/4 - 19/4

-1/2 + x = -(21+23+19)/4

x = -63/4 + 1/2

x= -63/4 + 2/4

x = -61/4

Hope that helps, tell me if you need further explanation. =)

Answer:

B. -19/4

Step-by-step explanation:

-1/2 + x = -21/4

x = -21/4 + 2/4

x = -19/4

Answer: B. -19/4

I) Construct a triangle PQR such that |PQ|=8cm,{RPQ=90°{PQR=30°.Measure |RQ|​

Answers

Answer:

6.93 cm

Step-by-step explanation:

You have a right triangle (90°), so you do as follow:

If I understand correctly, you are looking for the hypotenuse so

[tex]cos(30) = \frac{PQ}{QR} = \frac{8 cm}{QR}[/tex]

That is equal to [tex]QR = cos(30)*8 cm = 6.928 cm[/tex]

What the answer to this problem now

Answers

Answer:

25.4 degrees

Step-by-step explanation:

Use the inverse sine function to calculate

If k is a negative even integer that is greater than -7.86 what is the least possible value of k step by step explanation

Answers

Answer: The least possible value of k is -6.

Step-by-step explanation:

Let 'k' be the negative even integer that is greater than -7.86 .

On number line, -7.86 lies between -7 and -8 such that

-7 > -7.86 > -8

So, -7 is the least integer that is greater than -7.86.

Since, -6 > -7 . That means -6 is the least negative even integer that is greater than -7.86 .

Hence, the least possible value of k is -6.

if you horizontally strech the quadratic parent function, f(x)=x^2, by a factor of 4, what is the equation of the new function?

Answers

Answer:

     g(x) = x^2/16

Step-by-step explanation:

To stretch a function horizontally by a factor of k, replace x with x/k.

You want a stretch factor of 4, so your function is ...

  g(x) = f(x/4) = (x/4)^2

  g(x) = x^2/16

__

The attached graph shows the horizontal stretch.

pls help me with this question​

Answers

Answer:

32 cm

Step-by-step explanation:

The volume of the container is:

V= area of the base * the heigth

Since the container has a rectangular base the area of it is:

A = length * width

Let L be the missing length

A = L * 10

V = 10* 25 * L

The container can hold 8 Liters when it's completely full to its brim.

8 liters is 8000 cm^3 ( multiply by 1000)

8000 = 10*25*L

8000 = 250 *L

L = 8000/250

L = 32 cm

v=8litres which is 8 × 1000

l=?

b=10

h=25

since, v=lbh (volume of cuboid)

8000=l × 10 × 25

l=8000/250

l=32

therefore the length is 32cm

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