The Jones have some friends drop in. They wish to serve sherry but do not have enough to serve all the same kind. So they mix some which is 20% alcohol with some which is 14% alcohol and have 5 quarts, which is 16% alcohol. How much of each king of sherry they have to mix

Answers

Answer 1

Answer:

they have to mix 1.67 quarts 20% and 3.33 quarts 14%

Step-by-step explanation:

Given the data in the question;

let x quarts of the 20 percent alcohol and y quarts of 14 percent alcohol be mixed to form 5 quarts

i.e

x + y = 5  -------------let this be equation 1

20%x + 14%y = 16%5

0.2x + 0.14y = 0.8

multiply through by 50

10x + 7y = 40 -------------let this be equ 2

so let multiply equation by -7

-7x - 7y = -35       ------------- let this be equ 3

add equ 2 and 3

3x + 0 = 5

x = 5/3 ≈ 1.67

substitute value of x in equation 1

5/3 + y = 5

y = 5 - 5/3

y = 10/3 ≈ 3.33

Therefore; they have to mix 1.67 quarts 20% and 3.33 quarts 14%


Related Questions

The segments shown below could form a triangle.
А
C
8
11
A
9
9
C
B
O A. True
B. False

Answers

I think your correct
Sorry if I’m wrong
true is the answer, ur welcome:)

In the diagram what is sin(x) 

Answers

Answer:

8/15 or 0.5333 to nearest ten thousandth.

Step-by-step explanation:

sin x = opposite side/ hypotenuse

= 8/15.

Nathan earned $63 for working 7 1/2 hours.. How much does Nathan earn per hour?
0 $8.40
O $7.20
$8.90
O $9.50

Answers

Nathan earns $8.40 each hour

Answer:

$8.40

Step-by-step explanation:

We have to find the unit rate, so our equation is:

63 ÷ 7 1/2 = 8 2/5 or 8.4

So Nathan earns $8.40 per hour

Estimate the diameter of a circle with a circumference of 80 feet
1. 12.74 feet
2. 25.48 feet
3. 40 feet
4. 50.96 feet

Answers

Answer:

2) 25.48

The diameter of the circle     d = 25.48                

Step-by-step explanation:

Step(i):-

we know that the diameter of a circle  d = 2 r

The circumference of the circle = 2π r

Given that the circumference of the circle = 80 feet

Step(ii):-

 The circumference of the circle = 2π r = 80

                                ⇒ π (2r )= 80

                               ⇒  πd = 80

                               ⇒ [tex]d = \frac{80}{3.14}[/tex]

                                  d = 25.477

Final answer:-

The diameter of the circle     d = 25.477                                

Jack pours 1/3 gallon of fruit juice in 1 and 1/2 minutes. Assume that he bores at a constant rate. What fraction of a gallon of fruit juice does he pour in one minute?

Answers

Answer: 1/3+ 1 1/2 = 1.8333333333333 or 1  5/6

What fraction of a gallon of fruit juice does he pour in one minute? He poors 1 5/6  fruit jucie in  one min

Y-21<85 help me pls
I don’t get this stuff lol

Answers

Answer:

it is y<106

Step-by-step explanation:

remember to add 85 and 21 together :)

A seasonal index for a monthly series is about to be calculated on the basis of three years’ accumulation of data. The three previous July values were 110, 150, and 130. The average over all months is 190. The approximate seasonal index for July is:

Answers

Answer:

0.684

Step-by-step explanation:

According to the scenario, computation of the given data are as follows

Seasonal index = Average value for July ÷ Average over all months

Where, Average value for July = ( 110 + 150 + 130 ) ÷ 3

= 390 ÷ 3 = 130

And, average over all months = 190

So by putting the value in the formula, we get

Seasonal index = 130 ÷ 190

= 0.684211 or 0.684

Hence, approximate seasonal index for July is 0.684.

5x5x5x5= ______ to the power of _____

Answers

Answer:

5 4

Step-by-step explanation:

its fristly 5

ok then bb

Answer:

5x5x5x5=625

Step-by-step explanation:

Which relationships describe angles 1 and 2?

Select each correct answer.

supplementary angles
complementary angles
adjacent angles
vertical angles

Answers

result for Which relationships describe angles 1 and 2?

Answer. Answer: They are supplementary angles, because angle 1 + angle 2 = 180° , i.e. they form a line.

Hope you enjoy! :)

Write 34% as a fraction or mixed number in simplest form

Answers

17/50 = 34% Hope this helped

the diagonal of a rectangular tv is 52 inches long. the screen is 45 inches wide. how high is the screen? round decimal to the nearest tenth.
A. 97
B. 68.8
C. 26.1
D. 7

Answers

45^2 + h^2 = 52^2
2,025 + h^2 = 2,704
h^2 = 679
h = 26.1

How many milligrams of medication are in 500 mL of a 1% solution?

Help

Answers

Answer:

Step-by-step explanation:

5g. X% solution means there are Xg per 100mL. So 500mL at 1%: 5g

it costs $3 to rent bowling shoes. Each game costs $2.25. How many games can you bowl if you have $9.00?​

Answers

Answer:

2 games

Step-by-step explanation:

$2.25 + $2.25 = $4.50. $4.50 + $3 = $7.50. $9 - $7.50 = $1.50. You would have $1.50 as your change.

Jermaine and Monica will usually both run 4.5 miles each time they go running. This month, Jermaine ran an additional 27 miles. Which answer choice shows an expression that represents the total distance Jermaine and Monica ran this month if j = the number of times that Jermaine ran and m = the number of times that Monica ran?

Answers

Answer:

4.5 (j + m) + 27

Step-by-step explanation:

Write an expression for the quotient of q and 347.

Answers

Answer:

q/347

Step-by-step explanation:

quotient means division so q divided by 347 is

q/347``

please mark as brainliest


Given that V, W, and X are the midp oints of ASTU, what is the relationship between TX and XU?
A 2TX = XU
B. TX = 1/2XU
C. TX || XU
D. TX=XU
Please select the best answer from the choices provided

Answers

Answer:

the answer is D

Step-by-step explanation:

got it right on edg

0.62 as a percent
(STEP BY STEP)

Answers

Answer:

0.62 = 0.62 × 100/100 = (0.62 × 100)/100 = 62/100 = 62%;

In other words:

1) Multiply that number by 100.

2) Add the percent sign % to it.

Answer:

62%

Step-by-step explanation:

You would take the decimal and move it to the right two spaces then add the percent sign in replace of the decimal.

.62 → 6.2 → 62. → 62%

Hope this helps!

The answer is 132 ft

Answers

Answer:

Lol, thank you for telling me this information..

help me with this question​

Answers

Rate of change is -3/1

Answer:

-3

Step-by-step explanation:

Rise over run is slope or rate of change

-6/2=-3

cual es el resultado de simplificar. Adjunto foto

Answers

Answer:

⣿⣯⣿⣟⣟⡼⣿⡼⡿⣷⣿⣿⣿⠽⡟⢋⣿⣿⠘⣼⣷⡟⠻⡿⣷⡼⣝⡿⡾⣿ ⣿⣿⣿⣿⢁⣵⡇⡟⠀⣿⣿⣿⠇⠀⡇⣴⣿⣿⣧⣿⣿⡇⠀⢣⣿⣷⣀⡏⢻⣿ ⣿⣿⠿⣿⣿⣿⠷⠁⠀⠛⠛⠋⠀⠂⠹⠿⠿⠿⠿⠿⠉⠁⠀⠘⠛⠛⠛⠃⢸⣯ ⣿⡇⠀⣄⣀⣀⣈⣁⠈⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⠎⠈⠀⣀⣁⣀⣀⡠⠈⠉ ⣿⣯⣽⡿⢟⡿⠿⠛⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠈⢠⣴⣾⠛⠛⠿⠻⠛⠿⣷⣶ ⣿⣿⣿⠀⠀⠀⣿⡿⣶⣿⣫⠉⠀⠀⠀⠀⠀⠀⠀⠈⠰⣿⠿⠾⣿⡇⠀⠀⢺⣿ ⣿⣿⠻⡀⠀⠀⠙⠏⠒⡻⠃⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠐⡓⢚⠟⠁⠀⠀⡾⢫ ⣿⣿⠀⠀⡀⠀⠀⡈⣉⡀⡠⣐⣅⣽⣺⣿⣯⡡⣴⣴⣔⣠⣀⣀⡀⢀⡀⡀⠀⣸ ⣿⣿⣷⣿⣟⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⢾⣷⣿ ⣿⣿⣟⠫⡾⠟⠫⢾⠯⡻⢟⡽⢶⢿⣿⣿⡛⠕⠎⠻⠝⠪⢖⠝⠟⢫⠾⠜⢿⣿ ⣿⣿⣿⠉⠀⠀⠀⠀⠈⠀⠀⠀⠀⣰⣋⣀⣈⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⢸⣿ ⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿ ⣿⣿⣿⣿⣦⡔⠀⠀⠀⠀⠀⠀⢻⣿⡿⣿⣿⢽⣿⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠘⠛⢅⣙⣙⠿⠉⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣅⠀⠓⠀⠀⣀⣠⣴⣺⣿⣿⣿⣿⣿⣿⣿⣿

Step-by-step explanation:

i nu speak that language

Please show all of your work for this!

Answers

Answer:

17 units

Step-by-step explanation:

BE is midsegment of ACDF

BE = 1/2(CD + FA)2(3x + 3) = 6x - 16 + 4x - 106x + 6 = 10x - 2610x - 6x = 6 + 264x = 32x = 8

Similarly, FA is midsegment of BEZW

FA = 1/2(BE + WZ)WZ = 2FA - BEWZ = 2(4x - 10) - (3x + 3)WZ = 8x - 20 - 3x - 3WZ = 5x - 23

Substitute x with 8:

WZ = 5*8 - 23 = 40 - 23 = 17

Find the radius, and the approximate circumference and area of the circle below. (Use 3 for \pi)

Answers

Answer:

Circ=37.704, Area= 112.112

Step-by-step explanation:

Circumference= pi *Diameter

Taking pi=3.142, Diameter=12

Circ=3.142*12=37.704

Area= pi * r^2

Area= 3.142*6*6=112.112

Find the solution of the system of equations.
4x – 2y = -6
x + 4y = -24

Answers

Answer:

-4,-5

Step-by-step explanation:

Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.

4(-24 - 4y) - 2y = -6

-96 -16y -2y = -6

-18y = 90

y = -5

Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4

Evaluate the expression when y = -6

Y2+5Y-3

Answers

Answer:

-45

Step-by-step explanation:

(-6)2+5(-6)-3=-45

Answer:

Solve the equation for  Y  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula. Y = − 5 − √ 97 + 24 y 12 Y = − 5 + √ 24 y + 97 12

Integrate [tex]e^{4x}\sqrt{1+e^{2x} } dx[/tex] please show work so i can learn

Answers

Answer:

[tex](\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C[/tex]

Step-by-step explanation:

Step(i):-

Given that the function

                    f(x) = [tex]e^{4x} \sqrt{1+e^{2x} }[/tex]

Now integrating on both sides, we get

                 [tex]\int\limits{f(x)} \, dx = \int\limits{e^{4x} \sqrt{1+e^{2x} } dx[/tex]

                               =    [tex]\int\limits{e^{2x} e^{2x} \sqrt{1+e^{2x} } dx[/tex]

                         

Step(ii):-

  Let  [tex]1 + e^{2x} = t[/tex]

           [tex]e^{2x} = t -1[/tex]  

          [tex]2e^{2x}dx = d t[/tex]

          [tex]e^{2x}dx = \frac{1}{2} d t[/tex]

                = [tex]\int\limits{( \sqrt{1+e^{2x} }) e^{2x} e^{2x} dx[/tex]

                  = [tex]\int\limits {\sqrt{t}(t-1)\frac{1}{2} dt }[/tex]

                 = [tex]\frac{1}{2} \int\limits {\sqrt{t} (t) -\sqrt{t} ) dt }[/tex]

                = [tex]\frac{1}{2} \int\limits {(t^{\frac{1}{2} } t^{1} +t^{\frac{1}{2} } ) } \, dx[/tex]

                [tex]= \frac{1}{2} \int\limits {(t^{\frac{3}{2} } +t^{\frac{1}{2} } ) } \, dx[/tex]

               = [tex]\frac{1}{2} (\frac{t^{\frac{3}{2} +1} }{\frac{3}{2}+1 } + \frac{t^{\frac{1}{2} +1} }{\frac{1}{2}+1 } )+C[/tex]

              =  [tex]\frac{1}{2} (\frac{t^{\frac{3}{2} +1} }{\frac{5}{2} } + \frac{t^{\frac{1}{2} +1} }{\frac{3}{2} } )+C[/tex]

             = [tex]\frac{1}{2} (\frac{t^{\frac{5}{2} } }{\frac{5}{2} } + \frac{t^{\frac{3}{2} } }{\frac{3}{2} } )+C[/tex]

            = [tex](\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C[/tex]

Final answer:-

= [tex](\frac{(1+e^{2x}) ^{\frac{5}{2} } }{{5}} + \frac{(1+e^{2x} )^{\frac{3}{2} } }{{3}} )+C[/tex]

             

What is the value of the expression 6 +5. (8 = 2)2? ​

Answers

Answer:

The answer is 22

Step-by-step explanation:

might be wrong so I would wait for someone else to also answer.

m^2+5=14
[tex] {x}^{2} [/tex]
x2+5=14

Answers

Answer:

okeed

Step-by-step explanation:

After a 65% ​reduction, you purchase a new clothes dryer on sale for ​$189. What was the original price of the clothes dryer ​?

Answers

Answer:

$122.85

Step-by-step explanation:

65/100 x 189 = $122.85

The original price of the clothes dryer would be 311.85

A circle has a diameter of 4 meters.

What is its perimeter (to the nearest hundredth)?

What is its area (to the nearest hundredth)?
m^2

Answers

Answer:

Step-by-step explanation:

r = d/2

r = 4/2

r = 2

pi = 3.14

Circumference = 2 * pi * r

Circumference = 2 * 3.14 * 2

Circumference = 12.56

Area = pi r^2

Area = 3.14 * 2^2

Area = 4 * 3.14

Area = 12.56

What is the real part of 6 plus 3i

Answers

Answer:

63

hope it's 9 lol ❤❤❤❤❤❤

THANK YOU. ^O^ :)

Answer: 6

Step-by-step explanation: A complex number is written as a+bi where a is the real part(whole number) and b is the imaginary part.

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