The cook needs to add 21.333 ounces of water to obtain a 3 % concentration.
In matter of units, concentration equals to to the mass of cider vinegar ([tex]m_{c}[/tex]) divided by mass of water ([tex]m_{w}[/tex]), both expressed in ounces. A reduction on concentration implies that mass of cider vinegar remains constant while mass of water is increased.
Now we derive expressions for the initial and final concentrations for cider vinegar:
Initial concentration
[tex]c_{i} = \frac{m_{c}}{m_{w}+m_{c}}[/tex] (1)
Where:
[tex]m_{w}[/tex] - Initial water mass, in ounces. [tex]c_{i}[/tex] - Initial concentration ratio, no unit.Final concentration
[tex]c_{f} = \frac{m_{c}}{m_{c}+m_{w}'}[/tex] (2)
Where:
[tex]m_{w}'[/tex] - Initial water mass, in ounces. [tex]c_{i}[/tex] - Initial concentration ratio, no unit.Then, if we know that [tex]c_{i} = 0.05[/tex], [tex]c_{f} = 0.03[/tex], [tex]m_{w}+m_{c} = 32\,oz[/tex] and [tex]m_{c}+m_{w}' = 32 + x[/tex], then the addition of water is:
[tex]0.05 = \frac{m_{c}}{32}[/tex] (1b)
[tex]0.03 = \frac{m_{c}}{32+x}[/tex] (2b)
Then we eliminate [tex]m_{c}[/tex] in (1b) and (2b):
[tex]0.05\cdot 32 = 0.03\cdot 32 + 0.03\cdot x[/tex]
[tex]0.02\cdot 32 = 0.03\cdot x[/tex]
[tex]x = 21.333\,oz[/tex]
The cook needs to add 21.333 ounces of water to obtain a 3 % concentration.
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a train goes 25 kilometers in 45 minutes, how fast would it go in 27 minutes?
Answer:
15km
Step-by-step explanation:
45mins = 25km
1 min =25/45
=5/9
27mins=5/9×27
=15km
Write an equation in point-slope form of the line that passes through the point (-6,6) and has a slope of m=3/2
Answer:
y=3/2 x+15
Step-by-step explanation:
Simplify:
-5x - 2(3x - 7) + 4(3x - 5) - (6x -9)
Answer:
7x+3
Step-by-step explanation:
-5x+6x+14+12x-20-6x+9
combine like terms
7x+3
Need help l don’t understand new topic
7x - 2 = 5x + 14
7x - 5x = 14 + 2
2x = 16
x = 16/2
x = 8
______
Hope it helps ⚜
Answer:
x = -8
Step-by-step explanation:
[tex]7x - 2 = 5x + 14 \\ 5x - 7x = 14 + 2 \\ - 2x = 16 \\ \frac{ - 2x}{ - 2} = \frac{16}{ - 2} \\ x = - 8[/tex]
HELP PLEASE...........
Answer:
B. slope -5, y-intercept (0, 7)
Step-by-step explanation:
The y-intercept is the first (x, y) pair shown in the table: (0, 7). (This eliminates choices C and D.)
The slope is ...
change in y / change in x
(-13 -7) / (4 -0) = -20/4 = -5 . . . slope
This matches choice B.
Domain and Range of {(0,2), (2,4), (-1,1)}
Which is the better buy? Explain.
Cereal
Price
$4.32
12-ounce box
16-ounce box
$5.44
Bernie had $30 in his bank account. Today, he withdrew d dollars but tomorrow he will
bank account after tomorrow.
deposit $15. Write an expression to represent how much money Bernie will have in his
Answer:
Step-by-step explanation:
Bernie had $30 in his bank account.
Today he withdrew $d
Now he has = $30 — $d
Because from $30 he took away $d that’s why $d have to subtract from the $30.
Tomorrow he’ll deposit $15 and that will be added up with current balance $30 —$d.
So, the expression to represent how much money Bernie will have in his bank account is $30 —$d + 15
Josephine is looking for a new job as a plumber. She responds to a classified ad for a position that pays 54K. What would her weekly salary be to the nearest cent if she gets this job? A. $855.77 B. $1,038.46 C. 1,125.00 D. $1,057.69
Based on the information given, it should be noted that her weekly salary will be B. $1,038.46.
It should be noted that there are 52 weeks in one year.
Based on the information given, the annual salary is given as 54000.
Therefore, the weekly salary will be:
= Annual salary / Number of weeks.
= 54000 / 52
= $1038.46
Her weekly salary is $1038.46.
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What is the equation for the line in slope-intercept form?
Answer:y=4x+4
Step-by-step explanation:
Given that D, E, and F are the midpoints of their respective sides, which of the following is a true statement?
Answer:
I'm pretty sure its the 1st one.
Step-by-step explanation:
Jane went to get her hair cut and colored before Christmas. The hair stylist told her it would cost $80, but Jane wanted to leave a 15% tip how much would her tip amount be how much will it cost her including the tip
Answer:
12$ tip together is will be 92$
Step-by-step explanation:
2.0,3.1,4.2,5.3 what is the next three numbers and what are they adding by
Answer:
6.4, 7.5, 8.6adding 1.1 each time
PLEASE HELP WILL GIVE BRAINLIEST
5. Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
$55 for the initial consultation and then $41 per session. Another plan is to charge $50 for the
consultation and $46 per session. Laura realizes that the two plans have the same cost for a
certain number of sessions. How many sessions is that? What is that cost?
Answer:
Step-by-step explanation:
Tod did not want the answer?
Write the equation of the line that is parallel to the line y=−14x−3 through the point (4,4).
Hello there! :)
Parallel lines have the same slope, so if one line has a slope of -14, then the line parallel to it has a slope of -14 as well.
We are also given a point that the line passes through.
That's enough information to find the equation of the line.
First, we write the equation in point-slope form, which looks like so:
y-y1=m(x-x1)
y1 is the y-coordinate of the point, m is the slope of the line and x1 is the x-coordinate of the point.
y-4=-14(x-4)
y-4=-14x+56
y=-14x+60
Hence, that's the equation. Hope it helps.
~A lonely teen who helps others with a smile
-Grace
Good luck.
Jack was the science Museum in sabotage the recycling plant had an average speed of 26KM/H. Sometime later Aaliyah love traveling in the opposite direction with an average speed of 57KM/H. After Jack had traveled for four hours they were 332KM a part. How long did Aaliyah travel?
A car travels 15 km in 13 minutes. What is its average speed in km/h?
Answer:
69.45 km/hStep-by-step explanation:
Speed = Distance/Time=> Speed = 15 km ÷ 13/60 => Speed = 15 km ÷ 0.216=> Speed = 15 km/0.216=> Speed = 15 x 4.63/0.216 x 4.63=> Speed = 69.45 km/1 h (Approximate)Conclusion:
Therefore, the speed is 69.45 km/h (Approximate)Hoped this helped.
Answer the ones you want to. Answer at least one.
Have no idea how to do this. Please help I beg you.
Answer:
I will answer one of them! Let's do... number 2.
Step-by-step explanation:
Conjecture: Each number increases by 5 each time.
i need help plzzzzz be a good mon,woman
3,080 feet = ____ miles. Answer as a proper fraction or as a whole or mixed number
I need helpppoppppppppppppp
Answer:
Step-by-step explanation:
2 1
3) Find the square root of these numbers by division method . 24336
I want full answer
1) -64÷16+[12x{6÷(16÷10-2)}]
Answer:
= -30[tex]x^{6}[/tex]-4
i hope that helps and is right
If that is a multiplication sign then it is -184
if that is an x then it would be -4 -180x
NEED ANSWERS PLEASEEE! PROGRESS REPORTS GO IN SOON.
Answer:
1. they both are the same length and diameter, the difference is thw diameter is a different direction.
2. 4 cm
3. EB and 8 cm
Step-by-step explanation:
Diameter is the length of the circle aross, hope this helps!
Calculate the area of the quarter circle estimate using 3.14 for pi
(Please do say click this link for the answer and I didn’t mean to click that answer)
The area of the quarter circle with radius 3ft is [tex]7.065 ft^2[/tex]
Area of a quarter circle is given by the formula:
[tex]Area = \frac{\pi r^2}{4}[/tex]
Where r represents the radius of the circle
In the quarter circle shown, the radius, r = 3 feet
π = 3.14
Substitute π = 3.14 and r = 3 into the formula [tex]Area = \frac{\pi r^2}{4}[/tex]
[tex]Area = \frac{3.14 \times 3^2}{4}\\\\Area = \frac{3.14 \times 9}{4}\\\\Area = \frac{28.26}{4}\\\\Area = 7.065 ft^2[/tex]
The area of the quarter circle with radius 3ft is [tex]7.065 ft^2[/tex]
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I NEED HELP
Find the value
Answer:
7 and 2?
Step-by-step explanation:
i think because f(2) : f(x)= 5+2x = 7
All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What is the shape of the cross-section resulting from the cut?.
The shape of the cross-section resulting from the cut is Rhombus.
Given that,
All the edges of the object in the diagram are equal in length.
The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
We have to determine,
What is the shape of the cross-section resulting from the cut?
According to the question,
All the edges of the object in the diagram are equal in length.
The length of all edges is equal in the rhombus.
The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
When the midpoints of all the four sides of a rhombus are joined with each other, you will obtain a rectangle whose length and width will measure half of the value of the prime diagonal.
Moreover, the area of the rectangle formed in this case will be half of the rhombus.
Hence, The shape of the cross-section resulting from the cut is Rhombus.
For more details refer to the link given below.
https://brainly.com/question/18660021
Answer: C. A rhombus
Step-by-step explanation:
In the rectangle below,
Answer:
EI = FI and EG is twice the length of EI. Try setting up algebraic equations 3x + 8 = 6x -4 to find the value of x. Then substitute it back into the equation to find the length.
Step-by-step explanation:
I need helpppopppppppppppp
try it use your brain you can do it
Step-by-step explanation:
im not sure how to explain
Can somebody help me pleaseeeeee
The answer: a° = 180° - 62° = 118° , b° = 62° , c° = (180° - 62°) ÷ 2 = 59°
Ok done. Thank to me :>