A cook has 32 ounces of a 5% apple cider vinegar that she wants to dilute to a 3% apple cider vinegar . How much water does she need to add to obtain that concentration?

Answers

Answer 1

The cook needs to add 21.3 ounces of water to obtain the concentration

The cook has 32 ounces of 5% apple cider vinegar.

The total apple cider vinegar the cook has is:

[tex]Total = 32 \times 5\%[/tex]

[tex]Total = 1.6[/tex]

Let the quantity of water be x.

To dilute 3% apple cider vinegar, the cook would make use of the following equation

[tex]Total = 3\%\times (Apple\ Cider\ Vinegar + Water)[/tex]

So, we have:

[tex]Total = 3\%\times (32 + x)[/tex]

Substitute 1.6 for total

[tex]1.6= 3\%\times (32 + x)[/tex]

Divide both sides by 3%

[tex]53.3=32 + x[/tex]

Subtract 32 from both sides

[tex]53.3-32= x[/tex]

[tex]21.3= x[/tex]

Rewrite as:

[tex]x = 21.3[/tex]

Hence, the cook needs to add 21.3 ounces of water

Read more about concentration at:

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Related Questions

I don’t understand this question can you please help me ?.

Answers

Answer:

Girl: YES = 12 ; NO = 38

Boy: YES = 29 ; NO = 21

Total: YES = 41 ; NO = 59

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Girl yes=12;no=38 boy yes=29 no=59 and Yes=41 and no =59

A raised flower bed is 40 feet​ long, 7 feet​ wide, and 1.2 feet deep. Find the area of the bed and the volume of soil it holds.

Answers

Area = length x width

Area = 40 x 7 = 280 square feet

Volume = length x width x depth

Volume = 40 x 7 x 1.2 = 336 cubic feet

solve 557+3 using number disks

Answers

557+3=560 cuz 57+3 = 60 and 60+500= 560

Judith bought a rowboat priced at 671.65.shipping anf handling cost and additional 20% of the prices What was the total cost of the rowboat,including shipping and handilng?

Answers

Answer:

805.98

Step-by-step explanation:

671.65x.20=134.33

134.33+671.65=805.98

William is trying to pay off his credit card bill. He currently owes $184 on his bill without the interest charge from the credit card company. If the company charges 8% interest on his credit card bill, how much will William need to pay the credit card company so that he will have no payments?

Answers

Answer:

$198.72

Step-by-step explanation:

At a bowling alley, the cost of shoe rental is $2.75 and the cost per game is $4.75. If f (n) represents the total cost of shoe rental and n games, what is the recursive equation for f (n)?

f (n) = 2.75 + 4.75 + f (n − 1), f (0) = 2.75
f (n) = 4.75 + f (n − 1), f (0) = 2.75
f (n) = 2.75 + 4.75n, n > 0
f (n) = (2.75 + 4.75)n, n > 0

Answers

The recursive equation for f(n) will be:

f(n) = 2.75 + 4.75n, n > 0

The cost of the shoe rental = $2.75

The cost of 1 game = $2.75

The cost if n games = 4.75n

The total cost of shoe rental and n games = Cost of the shoe rental + cost of n games

Let the total cost of shoe rental and n games be f(n)

f(n) = 2.75 + 4.75n

Since at least 1 game will be played,

the recursive equation for f(n) will be:

f(n) = 2.75 + 4.75n, n > 0

Learn more on recursive functions here: https://brainly.com/question/11316313

answer part B and yeaa don’t mind my answers

Answers

Answer:

you are correct

Step-by-step explanation:

pls help due tonight

Answers

Answer:

-32

Step-by-step explanation:

-32x + 4y = 12

4y = 12 + 32x

/4      /4     /4

y = 3 + 8x

Enrique bought a football and a puzzle at a store.



He paid $15.35 for the football.
He paid a total of $24.02 for the football and the puzzle.

​How much did Enrique pay for the puzzle, in dollars and cents?

Answers

Answer:

8 dollars and 67 cents...8.67

Step-by-step explanation:

5 dollar bill

3 one dollar bills

2 quarters

1 dime

1 nickel

2 pennies

(-4x^3-x^2+3)-(x^3-2x^2-7x+2)

Answers

[tex](-4x^3-x^2+3)-(x^3-2x^2-7x+2)\\\\=-4x^3 -x^2 +3 - x^3 + 2x^2 + 7x -2 \\\\= -5x^3 +x^2 +7x +1 \\\\=-5x^3 -5x^2 +6x^2 +6x+ x+1\\\\=-5x^2(x+1) +6x(x+1) + (x+1)\\\\=(x+1)(-5x^2 +6x +1)\\\\=-(x+1)(5x^2 -6x -1)[/tex]

The sum of a number times 7 and 15 is at least -19

Answers

Answer:

x(7+15) [tex]\leq[/tex] -19

Step-by-step explanation:

I need help with this badly. It's geometry and angles.

Answers

Answer:

∠ C = 118°

Step-by-step explanation:

DE = DF , then Δ DEF is isosceles with base angles congruent , then

∠ DEF = ∠ DFE = [tex]\frac{180-56}{2}[/tex] = [tex]\frac{124}{2}[/tex] = 62°

∠ DFE and ∠ DFB are adjacent angles on a straight line and sum to 180° , so

∠ DFB = 180° - 62° = 118°

BCDF is a parallelogram ( opposite sides are parallel )

The opposite angles of a parallelogram are congruent , then

∠ C = ∠ DFB = 118°

Ok done. Thank to me :>

Using the slope formula, find the slope of the line through the points (0,0) and (4,8).
Use pencil and paper. Explain how you can use mental math to find the slope of the line. (please show how to do on pencil and paper)

Answers

Answer:

[tex]m = 2[/tex]

Step-by-step explanation:

Using mental math to find the slope of the line:

If you think about the formula, then you set up the points in your head, you will notice that the first point is on top of the second point. And that way makes it easy to simplify. All you would need to do is subtract down in your head: For example:

(0, 0)

(4, 8)

As you can see, the first point is on top of the other, and that way you can just subtract from bottom to top. If you do it that way, it is set up (Remember, you would do this all in your head)

Find the value of x.
950°
1280°
60°

Answers

Answer:

x=77

Step-by-step explanation:

128+95+60+x=360

283+x=360

x=77

identify whether the given mathematical sentences below is true or false, then write your reason. If false , write the correct answer.​

Answers

Answer:

Step-by-step explanation:

Alyssa needs 4 pieces of wood that are 12 inches long to build a box. She bought a length of wood that was 60 inches long. How much extra wood does she have?

Answers

Answer:

She has 12 inches wood left

Step-by-step explanation:

please help i have a few minutes left!!
A. {a, c, g, j, k, r}
B. {C, g)
C. {a}
D. {a, c, g, j, q, k, r}

Answers

Answer:

Short

"Option A is the answer"

At the movie theatre, child admission is $5.50 and adult admission is $8.90. On Friday four times as many adults tickets as child tickets were sold, for a total sales of $986.40. How many child tickets were sold that day?

Answers

Answer:

You can use grouping, quantity and value to solve this question.

Child admission = $5.50

Adult admission = $8.90

Friday sales (Quantity):

Child = x

Adult = 4x

Total sales = 5x

Friday sales (Value):

Child = $5.50

Adult = 4 × $8.90

         = $35.60

Total sales = $986.40

1 group = $5.50 + $35.60

            = $41.10

Number of groups = $986.40 ÷ $41.10

                               = 24

The number of child tickets sold is 24.

allison made a playlist that included 9/12 country songs. what are two equivalent fractions that represent the part of the play list that is country songs. explain why your fractions are correct?

Answers

Answer:

3/4,18/24

Step-by-step explanation:

You can mutiply the numerator and denominator by the same number or divide it by the same number as long as it is a whole number. Ex. (9/3) over (12/3)=3/4. Or (9x2)/(12x2)=18/24

1. As a diver descends, the pressure in the water
a
increases by about 0.455 pound per square
inch
(psi) for each foot of descent. This can be
modeled by the equation P = 0.455d + 14.3,
where P is the pressure in pounds per square
inch and d is the depth in feet.
Use a graphing calculator to graph the model.
(a)
Sketch the graph showing d (horizontal axis
representing depth )and P (vertical axis
representing the pressure).

Answers

Plotting the graph using geogebra online graphing tool and attaching.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let P represent the pressure in pounds and d represent the depth in feet.

Given the equation:

P = 0.455d + 14.3

Plotting the graph using geogebra online graphing tool and attaching.

Find out more at: https://brainly.com/question/13911928

(2a+15ab)-(7a+6b-10ab)

Answers

Answer:

Step-by-step explanation:

-5a - 6b + 25ab

add like terms

Find X. Enter a number for your answer. Do not type the symbol for degree or the
word "degrees"

Answers

Use angle sum property (the 3 angles in a triangle sum up to 180°).

2x + x + 54 = 180

3x + 54 = 180

3x = 180 - 54

3x = 126

x = 126/3

x = 42

_____

Hope it helps ⚜

Answer:-

x = 42

Explanation:-

We know that,

Angles of a triangle adds to 180°

So,

=> 2x + x + 54 = 180

=> 3x = 180 – 54

=> 3x = 126

=> x = 126/3

=> x = 42

(x = 42° ; 2x = 84°)

A unique source of water pollution contributing to water quality problems in the Ganges River is: A. raw sewage. B. disease-causing organisms. C. zebra mussels. D. PCBs. E. ash from human cremations.

Answers

Is this a multiple choice answer? If not, the answer is E. Ash from human cremations

first winter event question: wort 50 points and best explenation wins brainliest

whats 50 x 23 = ? Explain your awenser

Answers

Answer:

1150

Step-by-step explanation:

50x 23=150 +100=1150

Greg is a novice cook trying to perfect his baked potato recipe. He decides to put
many. potatoes in the oven and invites all his friends over. Every few minutes he
takes a potato out of the oven and asks some friends to rate its taste on a scale
from 1 to 10, where 10 is excellent.
For each taste, Greg writes down the number of minutes the potato spent in the
oven, x, as well as its rating from 1 to 10, y.
The least squares regression line of this data set is:
y = 0.109x + 1.437
What rating does this line predict for a potato spending 67.11 minutes in the oven?
Round your answer to the nearest integer,

Answers

2.079 I think? I’m sorry if I’m wrong I haven’t done this in years and I just wanna help….

Help me pls thank you so much

Answers

Answer: the second one

Step-by-step explanation:

What is the perimeter of the triangle?

Answers

Answer:

34

Step-by-step explanation:

12 on two of the sides and 10 on bottom

There is a problem with the question since it is supposed to say how much length does each box in the graph consider. But assuming that each box length is 1 unit...

The pythagorean formula states a^2 + b^2 equals c^2 .... Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)

So, lets just divide the blue triangle in half, symmetrically so that we can get a 90 degree angle. "a" is height of the half triangle and "b" is base of the half triangle so we have to find "c" (the hypotenuse) Now that we already can count and find the value of a is 12 unit and b is 5 unit.

So, 12^2 + 5^2 equals c^2 ... now if we solve the formula, the value of "c" comes 13 (it also comes -13 but negative number can not be counted in the diagram)

The triangle is a isoceles triangle which means both the sides of "c" are equal so... one side is 13 then the other side is also 13. and we already know the base is 10 units. So just add them up-   13+13+11 comes 37 units. (Its kinda complicated and i am bad at making someone understand so just learn the pythagorean theorum...)

SO THE FINAL ANSWER IS 37 UNITS. i am not sure so let me know if am correct. And if i m wrong... pls forgive me T-T

pls help i need help with this been working fo a bit

Answers

[tex]\\ \sf\Rrightarrow \dfrac{6}{7}x-\dfrac{2}{5}y+\dfrac{5}{7}(y+x)[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{6}{7}x-\dfrac{2}{5}y+\dfrac{5}{7}x+\dfrac{5}{7}y[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{6}{7}x+\dfrac{5}{7}x-\dfrac{2}{5}y+\dfrac{5}{7}y[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{11}{7}x+\dfrac{-14+25}{35}y[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{11}{7}x+\dfrac{11}{35}y[/tex]

Done!

[tex] \boxed{\huge \bf \: Question:—}[/tex]

[tex] \sf \longmapsto \: \dfrac{6}{7} x - \dfrac{2}{5} y + \dfrac{5}{7} (y + x)[/tex]

[tex]\boxed{\huge\bf \: Solution:—}[/tex]

[tex] \boxed{\bf \: Distribute:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{6}{7} x - \dfrac{2}{5} y + \dfrac{5}{7} y + \dfrac{5}{7} \: x[/tex]

[tex]\sf \longmapsto \dfrac{6}{7} x + \dfrac{ - 2}{5} y + \dfrac{5}{7} y \: + \dfrac{5}{7} x[/tex]

[tex] \boxed{\bf \: Combining \: Like \: Terms:—}[/tex]

[tex]\sf \longmapsto\dfrac{6}{7} x + \dfrac{ - 2}{5} y + \dfrac{5}{7} y \: + \dfrac{5}{7} x[/tex]

[tex]\sf \longmapsto \bigg(\dfrac{6}{7} x + \dfrac{5}{7} x \bigg) \: + \bigg( \dfrac{ - 2}{5} y + \dfrac{5}{7} \: y \bigg)[/tex]

[tex]\sf \longmapsto \: \dfrac{11}{7} x \: + \dfrac{11}{35} y[/tex]

[tex]\boxed{\bf \: Answer:—}[/tex]

[tex] \boxed{\bf \: \dfrac{11}{7} x \: + \dfrac{11}{35} y}[/tex]

I need help please I'll give you 25 points​

Answers

Answer:

t = 11/21

Step-by-step explanation:

Hope this helps!!

The line passes through point Q, located at (-1, 2), and point R, located at (1, -2). Which two points determine a line parallel to line Q R ?

Answers

Answer:

i need a picture to see sorry

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