How many ounces of a 19% alcohol solution and a 37% alcohol solution must be combined to obtain 90 ounces of a 24% solution

Answers

Answer 1

Answer:

19% alcohol solution = 65 ounces

37% alcohol solution = 25 ounces

Step-by-step explanation:

Let

19% alcohol solution = x

37% alcohol solution = y

x + y = 90 (1)

0.19x + 0.37y = 90*0.24

0.19x + 0.37y = 21.60 (2)

from (1)

x = 90 - y

Substitute into (2)

0.19x + 0.37y = 21.60

0.19(90-y) + 0.37y = 21.60

17.1 - 0.19y + 0.37y = 21.60

- 0.19y + 0.37y = 21.60 - 17.1

0.18y = 4.5

y = 4.5/0.18

y = 25 ounces

x + y = 90 (1)

x + 25 = 90

x = 90 - 25

x = 65 ounces


Related Questions

Maths people please write the answers !


Equations- Maths

Answers

Answer:

length = 20cm

breadth = 8cm

Step-by-step explanation:

solution;

length(l) = x + 12

breadth(b) = x

perimeter (p) = 56 cm

we know that,

perimeter(p) = 2(l + b)

or, 56 = 2(x + 12 + x)

or, 56 = 2(2x + 12)

or, 56 = 4x +24

or, 56 - 24 = 4x

or, 32 = 4x

or, 32 / 4 = x

x = 8

now

putting the value of x in length and breadth

length = x+ 12

=8 + 12

=20cm

breadth = 8cm

Answer:

Hope this helps!!!

Step-by-step explanation:

A: x=3

B: x=8

C: x=11

D: x=5

E: x=10

F: x=12

G: x= 10/3

H: x=6

I:  x=3.4

Which of the following expressions are equivalent to -6-(-2)
Pls I need help

Answers

Answer:

A) -6+2

Step-by-step explanation:

Answer is: A explanation:

A rectangle has four sides. Fill in the blanks in the double number-line below.
rectangles
1
2
3
4
8
12
28
sides





Plz help

Answers

Box 1: 6 Box 2: 16 Box 3: 20 Box 4: 24

Explain, in writing, the steps in graphing and finding the solution to the system of equations.
y = x + 2
y=-x-2

Answers

Answer:

Feel free to copy and paste:

Use the slope-intercept form to find the slope and y-intercept. To do this, use y=mx+b. Plug the variables where m=1 and b=2. Slope of the line is m and y-intercept is value of b, so the slope is 1 while the y-intercept is (0,2). Any line can be graphed using two points, and using two x values to plug them into the equation to find the corresponding y values: 0=x+2 is (-2,0). Y-intercept is already known, so use the known values and make a table where x= -2,0 and y = 0,2. Now, graph the line using the slope, y-intercept, and known points (-2,0), (0,-2) to plot the graph. Coincidingly, the answer to solve your system of equations will be the x-intercept: (-2,0).

Solve the proportion: 5/3 = ?/4​

Answers

Answer:

20/3

Step-by-step explanation:

5/3=x/4

cross product

3*x=5*4

3x=20

x=20/3

Answer:

20/3 = ?

Step-by-step explanation:

5        ?

---- = ------

3        4

We can solve by cross products

5 * 4 = 3 * ?

20 = 3 ?

Divide each side by 3

20/3 = 3?/3

20/3 = ?

Write the standard form of the equation of the line through the given point with the given slope.
9) through: (1, 2), slope = 7

Answers

Answer:

The equation for this slope will be y=7x-5

Step-by-step explanation:

Hope this helped


Gabby buys a new purse for $33. The sales tax in her state is 6%. How much is the sales tax?

Answers

Answer:

$1.98

Step-by-step explanation:

$33.00 x 0.06 = $1.98

Stacey worked on her garden for 4 3/4 hours.

Answers

Answer:

Number one and number 3 i think

Step-by-step explanation:

3. The average of two numbers is 55. If their positive difference is 64, then determine the two numbers algebraically.

Answers

Answer:

the numbers are 41 and 23

Step-by-step explanation:

Given data

let the numbers be x and y

x+y/2= 55

cross multiply

x+y= 110----------1

positive difference is 64

x-y= 64-----------2

solve 1 and 2

x+y= 110

x-y= 64

from 1

x= 110-y

put the value of x in 2

110-y-y=64

110-2y=64

110-64=2y

46=2y

y= 46/2

y=23

put y= 23 in 2

x-23= 64

x= 64-23

x=41

This right rectangular prism is filled with -foot unit cubes.
What are the actual dimensions of the prism?
How many unit cubes are in this prism?
What is the total volume of the prism, in cubic feet?

Answers

Answer:

can you use photo math yes or no?

Will give Brainliest!!!
What is the y=mx+b of the equation 5x+2y=−8?

Answers

Answer:

y = - 5/2x - 4

Step-by-step explanation:

so yeah oofofofofof

prove 151^3-25^3 is divisible by 126

Answers

9514 1404 393

Answer:

  151 -25 = 126 is a factor of the difference of those cubes

Step-by-step explanation:

The expression can be factored as ...

  a^3 -b^3 = (a -b)(a^2 +ab +b^2)

  151^3 -25^3 = (151 -25)(151^2 +151·25 +25^2)

  = 126(151^2 +151·25 +25^2)

That is, 126 is a factor of the difference of the given cubes. The difference is divisible by 126.

__

Your calculator tells you 151^3 -25^3 = 126 · 27201.

When solving systems of equations with the elimination
method or the substitution method, how do you determine if
you have one solution, no solutions or infinite solutions?

Answers

Step-by step explanation:

That's a great question. Look for things such as these:

x=x (infinite solution)

x=12 (one solution)

x+3 = x + 5 (no solutions)

https://youtu.be/bq5gDsEdN3Q this video has more information, copy and paste the link into your search engine.

John makes $400 per week. What does it mean for him to get a l50% salary raise. Explain in words and then give and example showing a calculation

Answers

Answer:

can some one give the answer

Step-by-step explanation:

pls

Simplify the mathematical -5 ½ x 4__ ( -9 ⅗ ) + ( - 1.4)

Answers

Step-by-step explanation: 5

The coordinates of quadrilateral ABCD plotted on a coordinate plane are A(0, 3), B(3,-1).
C(-4, -3) and D(-7, 1). what is the perimeter of the quadrilateral?

Answers

Answer:

24.56  (parallelogram)

Step-by-step explanation:

4 sides of ABCD: AB, BC, AD, DC

perimeter = AB + BC + AD + DC

distance of two points: √(x-x')²+(y-y')²

AB = √3²+4² = √25 = 5

BC = √7²+2² = √53 = 7.28

AD = √7²+2² = √53 = 7.28

DC = √3²+4² = √25 = 5

P = 5*2 + 7.28*2 = 24.56

The perimeter of the quadrilateral = 24.56 units.

What are Quadrilateral's?

A closed polygon with four sides, four vertices, and four angles is known as a quadrilateral. By joining four non-collinear points, it is formed. The amount of inside points of quadrilaterals is consistently equivalent to 360 degrees.

Given coordinates of quadrilateral ABCD, A(0, 3), B(3,-1).

C(-4, -3) and D(-7, 1)

for coordinate plane the length of a side is given by

d = √((x₂ - x₁)² + (y₂- y₁)²)

where d is the length of a side of a quadrilateral

AB = √((3 - 0)² + (-1-3)²)

AB = 5

BC = √((-4 -3)² + (-3 +1)²)

BC = √53 = 7.28

CD = √((-7 + 4)² + (1 + 3)²)

CD =5

DA = √((0+ 7)² + (3 - 1)²)

DA = √53 = 7.28

Perimeter of quadrilateral is given by sum of all the sides

= AB + BC + CD +DA = 5 + 7.28 + 5 +7.28

perimeter = 24.56 units

Hence perimeter = 24.56 units

Learn more about quadrilaterals;

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a) The regular price of a T-shirt is $18. What is the discounted price?

b) If the regular price of an item is x dollars, what is the discount price in dollars?

c) The discounted price of a hat is $18. What is the regular (original) price?

help fast!!!​

Answers

Answer:

B

Step-by-step explanati

the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown.    C is talking about a hat and were talking abot a shirt.   so whats left.... B

Answer:

the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown.    C is talking about a hat and were talking abot a shirt.

Step-by-step explanation:

IM SCROLLING THROUGH ALL OF THESE FRANTIC PLEAS OF HELP YALL I DONT KNOW ETHER YOUR EQUATIONS ARE MAKING MY EYES WATER

Answers

Answer:

What?

Step-by-step explanation:

I don't understand what you're saying.

A/c = ?/f
Pls help for my study guide

Answers

Step-by-step explanation:

I think

a/c = d/f

........

A cleaning product sells for $0.75 a quart. Which equation can be used to solve for the total cost, C , of five gallons of the product? A: C = $0.75 × 4 + 5 B: C = 5 × ($0.75 × 4) C: C = ($0.75 + 4) × 5 D: C = ($0.75 × 5) + 4

Answers

Answer: b. C = 5 × ($0.75 × 4)

Step-by-step explanation:

Note that 4 quarts = 1 gallon

Therefore, if a cleaning product sells for $0.75 a quart, the equation can be used to solve for the total cost, C , of five gallons of the product will be:

= 5 × ($0.75 × 4)

= 5 × $3

= $15

Fiona was thinking of a number. Fiona divides by 8, then adds 11 to get an answer of 7. What was the original number?

Answers

7 - 11= -4
-4 x 8= -32
Original number was -32

Answer:

-32

Step-by-step explanation:

Do the opposite of everything to fin the number:

7 - 11 = -4

-4 x 8 = -32

Check to see if it's true:

-32/8 = -4

-4 + 11 = 7

So the original number was -32, because when you divide it by 8 then add 11 it equals 7.

PLEASE HELP ME ON SOME OF THESE!!! I AM SO CONFUSED!!

Answers

Answer:

4) (2x)(2x)(0.5)=shaded area

5) (7x)(5x)-(3)(4)(0.5)=shaded area

6) (3x+3)(x+4)-(2x)(x+4)(0.5)=shaded area

7) (3x)(2x)-(2x)(x)(0.5)-(x)(x)(0.5)=shaded area

8) (6x)(4x)(0.5)+(10x)(4x)(0.5)=shaded area

9) (4x+2)(x+3)+(2x)(x+3)(0.5)=shaded area

Step-by-step explanation:

ASAP PLEASE: 16 + 11(-2)2 - 25(⅖) =

Answers

Answer:

-38

Step-by-step explanation:

2x+3y=-6
4x+6y=-12
6x + ay=-18

Answers

Answer: -18

Step-by-step explanation: I used a math problem calculator. : /

A recipe for 24 cookies calls for 6 tablespoons of sugar. If you make 36 cookies and use 10 tablespoons, will the cookies taste the same? Explain and show your work for evidence.

Answers

Answer:

yes it will you are you're fine only multiplying how much is going into the cookie and not what you're putting into the cookie like you're not putting a different flavor into the cookie

Simplify the expression for the area

Answers

Answer:

UHHHHHHHHHHHHH

Step-by-step explanation:

y=-2/3x-5 slope and y-intercept ​

Answers

Answer:

Slope = 2/3

Y-intercept = -5

Step-by-step explanation:

Since the equation is written in y = mx + b format. The m is the slope and b is the y-intercept. In place of m is 2/3 and in place of b is -5. Therefore, the slope is 2/3 and the y-intercept is -5.

hope this helps!

Maybe brainliest?

The equation of line is y = ( -2/3 )x - 5 , where the slope is m = -2/3 and the y intercept is b = -5

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = ( -2/3 )x - 5

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

Slope m = ( -2/3 )

The y-intercept b = -5

Hence , the equation of line is y = ( -2/3 )x - 5

To learn more about equation of line click :

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Patrick drank 3/4 liter of water Monday before jogging. He drank 4/5 liter of water after his jog. How much water did Patrick drink altogether? (Write fraction answers as a mixed number like this 2 1/2) He drank _____ liters. *

Answers

Answer: 1¹¹/₂₀ litres

Step-by-step explanation:

The fractions need to be added.

Find a common multiple for them.

Common multiple = 20

Divide the multiple by the denominator of the fraction and multiply the numerator by the result you get:

[tex]= \frac{15 + 16}{20} \\\\= \frac{31}{20} \\\\= 1\frac{11}{20}[/tex]

= 1¹¹/₂₀ litres

You are starting a new job in sales for the company Buy ‘n Large. Your hourly wage is $10.00 per hour and you get time and a half for anything over 40 hours. Based on a 5-day work week, 8-hour day, and 52 week year, determine your annual gross base salary.
A. $21,650
B. $18,798
C. $20,800
D. $19,980

Answers

Answer:

20,800

Step-by-step explanation:

10.00 per hour so 10x8=80

then 80x5=400

400x52=20,800

In a cookie recipe, for every 2 cups of sugar there are 3 cups of flour. How many cups of flour would you need for 6 cups of sugar?

Answers

9 cups of flower is the answer
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