Which statement can be used to prove whether the conjecture is true or false?
What does the statement prove? (the picture)
Select one answer
A. The area of FCDE is 12 and CF×DE=16.
B. The area of ABDE is 24 and AB×AE=24.
C. The area of ABDE is 24 and AB×BD=24.
D. The area of FCDE is 12 and FE×DE=12.
The statement proves that the conjecture is..
A. True
B. False
Answers
Answer:
B and false
Step-by-step explanation:
Lol
The statement proves the conjecture which is the area of the rectangle ABDE and AB×AE=24 units.
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: The triangle ABDE with AB and AE as the length and AB as the breadth.
Thus the area of the rectangle ABDE= 6×4
=24 units
Thus, The conjecture is True as the rectangle ABDE and the area of the rectangle is equal to 24 units.
Hence, The statement proves the conjecture which is the area of the rectangle ABDE and AB×AE=24 units.
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Related Questions
Find the value of x so that the function has the given value. 2(x) = 2x + 7; n(x) = 17
Answers
Answer:
x = 5
Step-by-step explanation:
Maybe you have ...
n(x) = 2x +7
and you want x for n(x) = 17.
17 = 2x +7
10 = 2x . . . . . . subtract 7
5 = x . . . . . . . . divide by 2
evaluate the double integral ∬r(2x−y)da, where r is the region in the first quadrant enclosed by the circle x2 y2=36 and the lines x=0 and y=x, by changing to polar coordinates.
Answers
Answer:
[tex]144-108\sqrt2 \ \text{units}^2[/tex]
Step-by-step explanation:
Evaluate the given double integral bounded by the region made up of the circle, x²+y²=36, and the lines x=0 and y=x, using polar coordinates.
[tex]\iint_R (2x-y)dA[/tex]
(1) - Changing to polar coordinates from rectangular
[tex]\\\boxed{\left\begin{array}{ccc}\text{Using the following conversions:}\\\\x=r\cos \theta\\\\y=r \sin\theta\\\\r^2=x^2+y^2\\\\\theta=\tan^{-1}(\frac{y}{x})\end{array}\right}[/tex]
Limits:
r^2=36 => r=±6
∴ 0≤r≤6
and π/4≤θ≤π/2
Integrand:
[tex]2x-y \rightarrow 2r\cos(\theta)-r\sin(\theta)[/tex]
We now have,
[tex]\int\limits^{\pi/2}_{\pi/4} \int\limits^6_0{( 2r\cos(\theta)-r\sin(\theta))} \, rdrd\theta \\\\\Longrightarrow \boxed{\int\limits^{\pi/2}_{\pi/4} \int\limits^6_0{( 2r^2\cos(\theta)-r^2\sin(\theta))} \, drd\theta }[/tex]
(2) - Evaluating the integral
[tex]\int\limits^{\pi/2}_{\pi/4} \int\limits^6_0{( 2r^2\cos(\theta)-r^2\sin(\theta))} \, drd\theta\\\\\\\Longrightarrow \int\limits^{\pi/2}_{\pi/4}\Big[\frac{2}{3}r^3\cos(\theta)-\frac{1}{3}r^3\sin(\theta)\Big]\limits^{6}_0 d\theta \\\\\\\Longrightarrow \int\limits^{\pi/2}_{\pi/4}\Big[(\frac{2}{3}(6)^3\cos(\theta)-\frac{1}{3}(6)^3\sin(\theta))-(0)\Big] d\theta\\\\\\\Longrightarrow \int\limits^{\pi/2}_{\pi/4}(144\cos(\theta)-72\sin(\theta))d\theta[/tex]
[tex]\Longrightarrow\Big[144\sin(\theta)+72\cos(\theta)\Big]\limits^{\pi/2}_{\pi/4}\\\\\\\Longrightarrow \Big[(144\sin(\pi/2)+72\cos(\pi/2))-(144\sin(\pi/4)+72\cos(\pi/4))\Big]\\\\\\\Longrightarrow \Big[(144)-(144(\frac{\sqrt{2} }{2} )+72(\frac{\sqrt{2} }{2} ))\Big] \\ \\ \\ \Longrightarrow \Big[(144)-(72\sqrt{2} +36\sqrt{2} )\Big]\\\\\\\Longrightarrow \boxed{144-108\sqrt2 \ \text{units}^2}[/tex]
Thus, the area of the region is [tex]144-108\sqrt2 \ \text{units}^2[/tex].
Dev hogs 8 1/2 miles in 1 1/2 hours
Answers
Find a point-slope form for the equation of the line satisfying the conditions.
Passing through (3,5) and (10,8)
Use the point (3,5) to find an equation of the line in point-slope form.
Answers
Answer:
y-5=3/7(x-3)
Step-by-step explanation:
the 3/7 is a fraction
Answer:
ill help
Step-by-step explanation:
Help me solve this problem please
Answers
Answer:
2. twice a number n subtracted from fifteen and four-tenths
Step-by-step explanation:
You regress Y on X and X2 and get the following: Y = 874 + -76.6*X + -7.37*X2.
If the average value of X is 61, what is the marginal impact of X on Y at the sample average? Round to the neareset tenth.
Answers
The marginal impact of X on Y at the sample average is approximately -984.54.
This means that for every one unit increase in X at the average value of X, the value of Y is expected to decrease by approximately 984.54 units.
The marginal impact of X on Y can be obtained by taking the derivative of the regression equation with respect to X. In this case, the regression equation is Y = 874 - 76.6*X - 7.37*X2. Taking the derivative with respect to X, we get -76.6 - 2*7.37*X.
To find the marginal impact of X on Y at the sample average, we need to substitute the average value of X, which is 61, into the derivative expression. Plugging in X = 61, we have -76.6 - 2*7.37*61.
Calculating this expression, we get:
-76.6 - 2*7.37*61 = -76.6 - 907.94 = -984.54.
Therefore, the marginal impact of X on Y at the sample average is approximately -984.54.
In interpretation, this means that for every one unit increase in X at the average value of X, the value of Y is expected to decrease by approximately 984.54 units. This indicates a negative relationship between X and Y in the regression model. However, it's important to note that this interpretation assumes that the regression model is appropriate for the data and that all relevant assumptions are met.
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What is the most precise name for quadrilateral ABCD with vertices A(-5,2), B(-3,4), C(5,4), and D(3,2)?
Answers
Answer:
Step-by-step explanation:
Parallelogram.
To get from A to B you move 2 units left and 2 units up
To get from B to C you move 8 units right and no units up or down.
To get from C to D you move 2 units down and 2 units left.
To get from D to A you move 8 units left and no units down or up.
Solve the equation for s.
S2 = 10,000
Answers
Answer:
S = 5000
Step-by-step explanation:
10000/2 = 5000
The diagram shows Yuen's garden.
Diagram NOT
accurately de
7.2 m
The garden is in the shape of a semicircle of radíus 72 m.
Yuen is going to cover his garden with grass seed.
Yuen has 12 boxes of grass seed.
Each box of grass seed contains enough seed to cover 6 mº of the garden
Has Yuen enough grass seed for his garden?
Show your working clearly
Answers
Answer:
no
Step-by-step explanation:
A=πr^2/2
In this case A=π*7.2^2/2
A= 81.43
12*6= 72m^2
no, he needs 1 more box
solve for x a 12, b -10 ,c -12 ,d 12
Answers
Answer:
[tex] \huge{ \fbox{ \sf{10}}}[/tex]
Step-by-step explanation:
Remember that The sum of the interior angles of a triangle is two right angles ( 90 + 90 ) or 180 . Create an equation:
[tex] \sf{ \: 8x + 60 + 40 = 180}[/tex]
In the question, we are asked to find the value of x.
Now , Add the numbers : 60 and 40
[tex] \longrightarrow \sf \: 8x + 100 = 180[/tex]
Move 100 to RHS ( Right Hand Side ) and change it's sign
[tex] \longrightarrow{ \sf{8x = 180 - 100}}[/tex]
Subtract 100 from 180
[tex] \longrightarrow{ \sf{8x = 80}}[/tex]
Divide both sides by 8
[tex] \longrightarrow{ \sf{ \frac{8x}{8} = \frac{80}{8} }}[/tex]
[tex] \longrightarrow{ \sf{x = 10}}[/tex]
The value of x is 10
Hope I helped!
Best regards! :D
~[tex] \sf{TheAnimeGirl}[/tex]
Table 3.2 Table 3.2 Quantity Demanded Quantity Supplied 24 0 $1 20 2 $2 16 4 $3 12 6 $4 8 8 $5 4 10 $6 0 12 In Table 3.2, if the price is $2, a________of________ units will occur. O surplus; 19 surplu
Answers
At a price of $2, the quantity demanded is 20 units, while the quantity supplied is only 4 units. This indicates that the quantity demanded exceeds the quantity supplied, creating a situation of excess demand or a shortage of 16 units.
A surplus occurs when the quantity supplied exceeds the quantity demanded at a given price. In this case, the quantity supplied (4 units) is lower than the quantity demanded (20 units) at a price of $2, resulting in a surplus of 16 units.
To determine the occurrence of a surplus or shortage, we compare the quantity demanded and the quantity supplied at a given price. In this case, when the price is $2, the quantity demanded is 20 units, while the quantity supplied is 4 units.
Since the quantity demanded (20 units) exceeds the quantity supplied (4 units), there is a surplus of (20 - 4) 16 units. This means that at a price of $2, there will be an excess supply of 16 units in the market.
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why mathematics is neccessary for students?explain
Answers
Answer:
Because depends on what you are going to work as you are most likely gonna use it
Step-by-step explanation:
What is the image of (5, 4) when it is
rotated 180° about the origin?
Answers
Answer:
(-5, -4)
Step-by-step explanation:
When you rotate a point 180 degree about the origin, the x coordinate will becomes its opposite, as well as the y-coordinate.
So, as an example, if a point was at -3, 7, after a 180 degree rotation, it would be 3, -7.
Adele is making calzones to sell at her restaurant. She starts with 61 cans of tomato sauce and then uses 5/12 of the cans for the first batch of calzones. How many cans of tomato sauce does Adele use for the first batch of calzones?
Write your answer as a fraction or as a whole or mixed number.
cans
Answers
Answer:
Adele used 25 5/12 cans of tomato sauce for the first batch of calzones.
Step-by-step explanation:
To find out how many cans of tomato sauce Adele used for the first batch of calzones, we can multiply the total number of cans of tomato sauce by the fraction used for the first batch.
The fraction used for the first batch is 5/12, so we can write:
(5/12) x 61
Simplifying the expression, we get:
(5 x 61) / 12 = 305/12
So Adele used approximately 25.42 cans of tomato sauce for the first batch of calzones.
To write this as a mixed number, we can divide the numerator by the denominator:
305 ÷ 12 = 25 with a remainder of 5
So the mixed number is:
25 5/12
Therefore, Adele used 25 5/12 cans of tomato sauce for the first batch of calzones.
The mean of 4 numbers is 88.
What is the fourth number if three of the numbers are 80,95,and 85
Answers
Answer:
The fourth number is 92
Step-by-step explanation:
Let the fourth number be represented with x
Mean = Total sum of values / No of given values
Mean = 88
[tex]88= \frac{80+95+85+x}{4}\\ \\88=\frac{260+x}{4}\\ \\Cross\:Multiply\\\\88\times 4 = 260+x\\352= 260+x\\352-260=x\\92=x\\\\x=92[/tex]
-8v=9-9v solve for v
Answers
Answer: v = 9
Step-by-step explanation: Hi there!
First, add 9v on each side to get
v=9.
Answer:
v=9
Step-by-step explanation:
−8v=9−9v
−8v=9+−9v
−8v=−9v+9
−8v+9v=−9v+9+9v
v=9
A binomial distribution has a characteristic that an outcome of an experiment is clossified into one of two mutually exclusive categories (a success or a failure). T/F
Answers
True. the binomial distribution is characterized by the classification of outcomes into two mutually exclusive categories, such as success and failure.
A binomial distribution is a discrete probability distribution that models the number of successes in a fixed number of independent Bernoulli trials. Each trial in a binomial distribution has two possible outcomes, which are mutually exclusive and collectively exhaustive. These outcomes are typically classified as success or failure, yes or no, heads or tails, etc. Therefore, the statement that a binomial distribution categorizes outcomes into one of two mutually exclusive categories (a success or a failure) is true.
In more detail, a binomial distribution requires the following characteristics:
1. The experiment consists of a fixed number of trials, denoted by "n".
2. Each trial has only two possible outcomes, often referred to as success (S) and failure (F).
3. The probability of success, denoted by "p," remains constant across all trials.
4. The trials are independent of each other, meaning the outcome of one trial does not affect the outcome of any other trial.
By using these characteristics, the binomial distribution allows us to calculate the probabilities of different numbers of successes in the given number of trials. It provides a framework for understanding and predicting outcomes in situations where there are two mutually exclusive possibilities.
For example, consider flipping a fair coin 10 times and counting the number of heads (successes). In this case, the binomial distribution can help determine the probabilities of getting 0, 1, 2, 3, or more heads out of the 10 flips. The outcomes of heads and tails are mutually exclusive, and the probability of getting a head (success) or a tail (failure) is the same for each flip.
In summary, the binomial distribution is characterized by the classification of outcomes into two mutually exclusive categories, such as success and failure. This distribution is widely used in various fields, including statistics, probability theory, and hypothesis testing, to analyze situations where there are only two possible outcomes for each trial.
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The new strain of covid is spreading at the rate of 12% a week. Currently, there are 100,000 people infected with the virus. How long will it take before the virus has infected 800,000 people? 24 weeks 48 weeks 18 weeks 12 weeks
Answers
It will take approximately 18 weeks for the virus to infect 800,000 people, based on a growth rate of 12% per week. This calculation assumes a continuous and consistent rate of infection.
To determine how long it will take for the virus to infect 800,000 people, we can use exponential growth based on the given rate of 12% per week.
Let's calculate the number of infected people after each week:
Week 1: 100,000 + (12% of 100,000) = 100,000 + 12,000 = 112,000
Week 2: 112,000 + (12% of 112,000) = 112,000 + 13,440 = 125,440
Week 3: 125,440 + (12% of 125,440) = 125,440 + 15,053.8 ≈ 140,494
Week 4: 140,494 + (12% of 140,494) = 140,494 + 16,859.28 ≈ 157,353
We can observe that the number of infected people increases each week by approximately 12%.
Now let's continue calculating the number of infected people until we reach or surpass 800,000:
Week 5: 157,353 + (12% of 157,353) ≈ 176,125
Week 6: 176,125 + (12% of 176,125) ≈ 197,375
Week 7: 197,375 + (12% of 197,375) ≈ 221,225
Week 8: 221,225 + (12% of 221,225) ≈ 247,861
Week 9: 247,861 + (12% of 247,861) ≈ 277,960
Week 10: 277,960 + (12% of 277,960) ≈ 312,011
Week 11: 312,011 + (12% of 312,011) ≈ 350,131
Week 12: 350,131 + (12% of 350,131) ≈ 392,157
As we can see, by the end of Week 12, the number of infected people is approximately 392,157. Therefore, it will take more than 12 weeks for the virus to infect 800,000 people.
To determine the exact number of weeks, we need to continue the calculations until we reach or surpass 800,000:
Week 13: 392,157 + (12% of 392,157) ≈ 439,579
Week 14: 439,579 + (12% of 439,579) ≈ 492,205
Week 15: 492,205 + (12% of 492,205) ≈ 550,394
Week 16: 550,394 + (12% of 550,394) ≈ 614,915
Week 17: 614,915 + (12% of 614,915) ≈ 686,982
Week 18: 686,982 + (12% of 686,982) ≈ 767,180
Therefore, it will take approximately 18 weeks for the virus to infect 800,000 people.
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Ten samples of size =8 have been collected from a production process manufacturing shafts for fuel pumps. The shaft diameter is critical and it has been measured for each shaft. The process is in statistical control. Table Q(d) (i) Analyse the values of the centre line, LCL and UCL for the x-bar and R charts using the constants given in Table Q(d). The calculated values of x-bar and R for each sample are shown below. (ii) Formulate the x-bar and R charts and plot the sample data on the charts. (iii) Appraise the information provided by the x-bar chart.
Answers
An x-bar chart is an essential tool for monitoring and improving the production process by providing insights into the process's stability and helping to identify potential issues or improvements needed to maintain the quality of the manufactured shafts for fuel pumps.
(i) The center line (CL), lower control limit (LCL), and upper control limit (UCL) for the x-bar and R charts need to be calculated using the constants provided in Table Q(d). The values of the x-bar and R for each sample are given but are not specified in the question. The calculation of these control limits involves statistical formulas and the use of the given constants.
(ii) To formulate the x-bar and R charts, the calculated values of the x-bar and R for each sample need to be plotted on the respective charts. The x-bar chart displays the sample means over time, while the R chart shows the ranges of the samples. These charts help monitor the process and identify any points that fall outside the control limits, indicating potential process variations or abnormalities.
(iii) The x-bar chart provides valuable information about the central tendency or average of the sample measurements. By analyzing the data plotted on the x-bar chart, one can observe the stability and consistency of the production process. If the points on the x-bar chart fall within the control limits, it suggests that the process is in statistical control, meaning it is stable and producing consistent results. However, if any points exceed the control limits, it indicates that the process may be out of control, and further investigation is required to identify and address the sources of variation.
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PLS ANSWER * Find the equation of a line passing through (0 , 2) and (2 , -1). *
Answers
9514 1404 393
Answer:
3x +2y = 4
Step-by-step explanation:
The standard form equation is easily found with a suitable graphing application. (See attached.) It is ...
3x +2y = 4
__
Given two points, you can find the slope-intercept form of the equation using the two-point form of the equation for a line ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-1 -2)/(2 -0)(x -0) +2
y = -3/2x +2
please helppppppppppppppppppppppppppppppppp
Answers
Answer:
I don't really understand this one
But 32.99 is 65.98 when we multiply it by two I guess that's the answer
Select the correct answer
Simplify
Answers
★ (9x² - 8x - 3) + (2x + 8)
We have to simply it[tex].[/tex]
⭆ 9x² - 8x - 3 + 2x + 8
⭆ 9x² - 8x + 2x - 3 + 8
⭆ 9x² - 6x + 5
∴ (C) is the correct answer.
Hope It Helps!Lila has a monthly car budget of $475. She pays $274 for her car payment. She likes to get car washes that cost
$14 each. What are viable numbers of car washes Lila can purchase based on the constraint of her monthly
budget?
Answers
Answer:
14.571 time she gets her car washed
Step-by-step explanation:
"please answer asap ill give u a big like
expand and Simplify (-5√2 +3√√3) (-6√2-2√3)
Answers
The expression (-5√2 + 3√√3) (-6√2 - 2√3) can be expanded and simplified.
To expand and simplify the given expression, we will use the distributive property to multiply each term in the first set of parentheses by each term in the second set of parentheses.
(-5√2 + 3√√3) (-6√2 - 2√3) expands to (-5√2 x-6√2) + (-5√2 x -2√3) + (3√√3 x -6√2) + (3√√3 * -2√3).
Simplifying each term individually, we have:
(-5√2 x -6√2) = 30 * 2 = 60,
(-5√2 x -2√3) = 10√6,
(3√√3 x-6√2) = -18√6,
(3√√3 x -2√3) = -6 * 3 = -18.
Putting it all together, the simplified expression is 60 + 10√6 - 18√6 - 18, which can be further simplified as 42 - 8√6. Thus, the expanded and simplified form of (-5√2 + 3√√3) (-6√2 - 2√3) is 42 - 8√6.
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NUMBER 4 PLEASE HELP ME UNDERSTAND IT
Answers
Answer:
option 2 is correct answer.
work out the length of the side of the square. i tried doing it but i didn’t understand and i got confused
Answers
Answer:
50cm
Step-by-step explanation:
4x-8cm is the same as 5x-20cm
because all sides of a square are equal
so 4x-8 5x-20 are same
finding x
add 20 to both sides
4x+14
5x
take away 4x from both
x=14
one side of circle is 5x14= 70-20=50
one side = 50cm
How many permutations are there of the letter in the words
(a.) TRISKAIDEKAPHOBIA (fear of the number 13)?
(b) FLOCCINAUCINIHILIPILIFICATION (estimating something as worth- less)?
(c.) PNEUMONOUL TRAMICROSCOPICSILICOVOLCANOCONIOSIS (a lung disease caused by inhaling fine particles of silica)? (This word is, by some accounts, the longest word in the English language.)
(d.) DERMA TOGL YPHICS (skin patterns or the study of them)? (This word is the (current) longest word in the English language that doesn’t repeat a letter; another word of the same length is UNCOPYRIGHTABLE.)
Answers
a) The number of permutations of the letters in TRISKAIDEKAPHOBIA is: 168,038,400. b) The number of permutations of the letters in FLOCCINAUCINIHILIPILIFICATION is: 1.142 x 10^26. c) The number of permutations of the letters in PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS is: 1.196 x 10^64.
Permutations of letters in words:
(a) The word TRISKAIDEKAPHOBIA has 16 letters.
The letters "I" and "A" are repeated three times, while the letter "O" is repeated twice.
We can use the formula:
n! / p1!p2! ... pk!
Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.
Therefore, the number of permutations of the letters in TRISKAIDEKAPHOBIA is:
16! / (3! * 3! * 2!) = 168,038,400.
(b) The word FLOCCINAUCINIHILIPILIFICATION has 29 letters.
The letters "I" are repeated six times, while the letters "L" and "N" are repeated twice.
We can use the formula:
n! / p1!p2! ... pk!
Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.
Therefore, the number of permutations of the letters in FLOCCINAUCINIHILIPILIFICATION is:
29! / (6! * 2! * 2!) = 1.142 x 10^26.
(c) The word PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS has 45 letters.
Each letter is unique.
We can use the formula:
n! / p1!p2! ... pk!
Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.
Therefore, the number of permutations of the letters in PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS is:
45! = 1.196 x 10^64.
(d) The word DERMATOGLYPHICS has 14 letters. Each letter is unique.
We can use the formula:
n! / p1!p2! ... pk!
Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.
Therefore, the number of permutations of the letters in DERMATOGLYPHICS is:
14! = 87,178,291,200.
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Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches.He cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new rectangle?
Answers
The Perimeter of the new rectangle is 66 inches.
The perimeter of a rectangle is equal to two times the length plus two times the width of the rectangle.
Here, Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches.
Therefore, we can use this information to find the width of the rectangle by using the formula for the perimeter:2(L + W) = P50 = 2(17 + W)25 = 17 + W8 = W
So the width of the original rectangle is 8 inches.
Najib cuts out another rectangle that is the same length (17 inches) and twice as wide.
This means that the new width of the rectangle is 2 x 8 = 16 inches.
Using the formula for the perimeter again, we can find the perimeter of the new rectangle:P = 2(L + W)P = 2(17 + 16)P = 66
Therefore, the perimeter of the new rectangle is 66 inches.
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Write the ratio in the simplest form. 28÷35
Answers
Answer:
the answer is 4:5
Step-by-step explanation:
because 2/8 ÷ 3/5 = 4/5 in ratio its 4:5
A cleaning spray 1/2 cup of vinegar for every 4 teaspoons of Lemon oil. How many oups d vinegar are needed for
2 teaspoons of lemon oil?
Answers
Answer:.25 or 1/4 there the same
Step-by-step explanation:
Trust me
1/8 cups of vinegar used for 2 tsp of lemon oil.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.As, per the table 2 tsp oil need for 1/4 C of Vinegar to clean.
Also, 1/2 cups of Vinegar can clean 4 tsp of oil the rate is
= 1/2 x 1/4
= 1/8
Thus, 1/8 cups of vinegar used.
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