How many gallons each of 20​% alcohol and 10​% alcohol should be mixed to obtain 10gal of 11​% ​alcohol?

Answers

Answer 1

Answer:

20​% alcohol = 1 gal

10​% alcohol = 9 gal

Step-by-step explanation:

Let

x = 20​% alcohol

y = 10​% alcohol

x + y = 10 (1)

0.20x + 0.10y = 10*0.11

0.20x + 0.10y = 1.1 (2)

From (1)

x = 10 - y

Substitute x = 10 - y into (2)

0.20x + 0.10y = 1.1

0.20(10 - y) + 0.10y = 1.1

2 - 0.20y + 0.10y = 1.1

- 0.20y + 0.10y = 1.1 - 2

-0.10y = -0.9

y = -0.9/-0.10

y = 9 gal

substitute y = 9 into (1)

x + y = 10

x + 9 = 10

x = 10 - 9

x = 1 gal

20​% alcohol = 1 gal

10​% alcohol = 9 gal


Related Questions

angle A = 18° and angle B = 25°. Find angle C.

Answers

Answer: Angle C: 137 degrees

Step-by-step explanation:

A+B+C=180

18+25+C=180

C=137

Step-by-step explanation:

triangle add U to 180

18 + 25 = 43

180 - 43 = 137 degree is c

Rebecca's electric bill is a variable expense. What is the average amount she pays for electricity if she paid $135 in December, $129 in January, $99 in February, $120 in March and $140 in April?

A. $124.60

B. $125.00

C. $105.90

D. $132.45
I’ll give brainiest:)

Answers

Answer:
i think the answer is b
The answer B
I think so

A horizontal translation is used to move quadrilateral WXYZ onto quadrilateral
W′X′Y′Z′.

Use the drop-down menus to describe the horizontal translation used.

Answers

Quadrilateral W X Y Z is translated -10 units to the x axis

Or

Quadrilateral W X Y Z is translated 10 units to the -x axis

Answer:

10, left

Step-by-step explanation:

Mass = 100g, volume = 20cm^3, what is the density?

Answers

Step-by-step explanation:

density= mass / volume

= 100g

20cm^3

= 50g/cm^3

Find the actual length in feet 2 inches = 5 feet

Answers

Answer:

1) 25

2) 20

3) 27.5

4) 16.25

5) 50

6) 41.25

Example on the bottom:

102.5

Think I got it right...

Can you simply these fractions?

Answers

Answer:

2/7

3/4

2/3

1/2

1/10

5/7

3/8

1/9

2/5

1/5

1.5 in fraction form

Answers

Answer:

[tex]1\frac{1}{2}[/tex] or, [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

1.5 = [tex]1\frac{1}{2}[/tex]

Answer:

Simplest Form: 1 [tex]\frac{1}{2}[/tex]

Other forms you can use:

1 [tex]\frac{2}{4}[/tex]

1 [tex]\frac{3}{6}[/tex]

1 [tex]\frac{4}{8}[/tex]

1 [tex]\frac{5}{10}[/tex]

In your own words, what is a radical expression?

Answers

Answer:

In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher. When the radical symbol is used to denote any root other than a square root, there will be a superscript number in the 'V'-shaped part of the symbol. For example, 3√(8) means to find the cube root of 8. If there is no superscript number, the radical expression is calling for the square root.

The term underneath the radical symbol is called the radicand.

I hope it's helpful!

the perimeter of a rectangular court is 224 feet. The length is 4 feet more than the width. Write and solve an equation to find the dimension of the court.​

Answers

Perimeter = 2l + 2w
L=4+x
W= x

224 = 2(4+x) + 2x
224 = 8+2x+2x
216 = 4x
54 = x

Plugging x = 54 into initial dimensions:
L = 54 + 4 = 58
W = 54

Use the points (2, 2485.6) and (6, 1172.5) to write an equation of the line of fit in slope-intercept form. Let x be the years since 2010 and let y be the number of CDs in millions sold.

Answers

Answer:

y = -328.275x + 1829.05

Step-by-step explanation:

In this case, we need to write an equation of this form:

y = ax + b  (1)      a: slope    b: intercept

In order to calculate the slope, we need to use the following expression:

a = y₂ - y₁ / x₂ - x₁     (2)

So, we have two points here, so, from these points we can identify each of the elements so we can determine the slope.

Point 1: (2, 2485.6)

Point 2: (6, 1172.5)

The slope of this equation will be:

a = 1172.5 - 2485.6 / 6 - 2

a = -328.275

Now that we have the slope, to get the intercept "b", we just use any of the given points, and replace in the general equation (1) to solve for b:

2485.6 = -328.275(2) + b

b = 2485.6 - 656.55

b = 1829.05

With the value of a and b, we can write the general equation of the line for this:

y = -328.275x + 1829.05

Hope this helps

Answer:

the person above me is wrong!

(answer is in the picture)

80 YTL para Ahmet ve Murat Sirasiyla 3 ve 5 ile dogru
orantı olarak paylastiniyor. Buna göre, yapılan paylaşımda, murat
Ahmet ten Kaç YTL dağa fazla para alir ?
A 16
B-20
C 24
D. 32​

Answers

sen Türksün be ne işin var senin burada

I think is c 24 I don’t fully understand the question

HELP PLEASE!! Can someone please check if my answer is right??!!

Which graph represents the function over the interval [−3, 3]?

f(x)=⌊x⌋−2

Answers

Answer:

Did you write absolute value of x -2?

38:5
A point is on a circle if the distance from the center of the circle to the point is equal to the
CE
area.
circumference.
o radius.
O diameter.

Answers

Answer:

its radius

PLZ MARK ME AS BRAINLIEST★♥

Please answer this today - First correct answer becomes brainliest


Suppose you know x+2y=-1 and 3y-x=-19. What is xy?

Answers

{ x+2y = -1
{ 3y-x = -19

{ x = -1-2y
{ -x = -19-3y

{ x = -1-2y
{ x = 19+3y

-1-2y = 19+3y
y = -4

x = 19+3(-4)
x = 7

(x,y) = (7,-4)

——
check solution
{ 7+2(-4)=-1
{ 3(-4)-7=-19

{ -1 = -1
{ -19 = -19

Solve the equation below. Simplify if necessary.

-4/7v = -8 2/3
Show how you did it please :)

Answers

Answer:

15 1/6

Step-by-step explanation:

change -8 2/3 into an improper fraction = -26/3

-4/7v = -26/3

cross-multiply:

3(-4v) = (-26)7

-12v = -182

v = 182/12

v = 15 1/6


What’s the error ???

Answers

Answer:

A.

Stepby-step explanation:

which expression is equivalent to (5x10^-3)+(6x10^-3)/22x10^4

Answers

I dont know  

23423423423423324234234234234

Does anyone know this?

Answers

Answer:

26

Step-by-step explanation:

I'm just guessing so asit for another snser

At a concert the ratio of men to women is 5:3
The ratio of women to children is 7:4
Show that more than half of the people at the concert are men.

Answers

Men: 5 : 3 = 20 : 12
Women: 7 : 4 = 21 : 12

So for every 12 children there are 20 men to 21 women.

Neither men nor women compose more than half of the concert population.

how many times does 21 go into 3

Answers

Answer:

it cant go into it, but if you mean 3 going into 21, its 7

Step-by-step explanation:

Answer:

7 it is 7

Step-by-step explanation:

you mean 3 into 21

How many 0.8 liter glasses can be filled by a 6.8 liter pitcher?

Answers

Answer:

8.5 glasses

Step-by-step explanation:

6.8L / 0.8L = 8.5 glasses

Answer:

8 glasses

Step-by-step explanation:

You divide [tex]6.8/0.8[/tex]

This gives you 8.5 glasses

since 9 glasses is too much, at 7.2 liters. The maximum glasses possible is 8 assuming you're not filling a half of the glass which would be 8.5 glasses.

Line A passes through the points (220, 125) and (300, 75). Line B passes through the points (0, 0) and (30, 25). At what point do the lines intersect?

Answers

Answer:

No, Isiah is not correct. The GCF of the coefficients is 1, and there are no common variables among all three terms of the polynomial. 5b4 is a factor of -25a2b5 and -35b4, but not a3. Additionally, a2 is a factor of a3 and -25a2b5, but not -35b4

Find the measure of the indicated angle

Answers

Answer:

Hope it helped

PLS mark BRAINLIEST

4-(-4x - 3) > 36.
Show your work.​

Answers

Step-by-step explanation:

4-(-4x-3) > 36

4 + 4x +3 > 36

4x + 7 > 36

4x > 36-7

4x > 29

x > 29/4

Plzzzzz hurry!!!!!!!!!!

Answers

Answer:

d

Step-by-step explanation:

(P+6)(p-3) expand and simplify

Answers

Answer:

p² + 3p - 18

Step-by-step explanation:

(p x p) - 3p + 6p - (6 x -3)

p² + 3p - 18

need help asap!!! 48 points

Answers

Answer:

b. i think

Step-by-step explanation:

PLZ PLZ PLZ ANSWER THIS!!!!!!!

Answers

Answer:

350

Step-by-step explanation:

Answer:

C. 350 pounds

Step-by-step explanation:

Looking at the chart, week 22 would be between the week 20 and week 25 marks. As a result, the weight should be between 275 and 425 pounds. As a result, A is out. Week 22 will be bigger than week 20 (275), so B is also out. Week 22 is in between Week 20 and 25, so it isn't bigger than Week 25's pumpkin; D is out for this reason. That leaves C, 350 pounds, as our answer.

Describe fully the single transformation that maps shape A onto shape B.

Answers

It’s Reflection because is ............turning the same way as the y and x

Answer: Reflection over 2, on the X axis's

Step-by-step explanation: The half line between the two shapes can be used a line of reelection, by doing so your flipping A to B

Write 10,000 in scientific notation

Answers

1*10^4
Or
10^4
Either way
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