The correct comparison for the expressions 2b and b+g is 2b > b+g.
Let's analyze the expressions:
2b: This represents twice the number of blue balls.b+g: This represents the sum of blue balls and green balls.Comparing 2b and b+g, the correct statement is A. 2b > b+g as having more green balls than blue balls implies the total green balls are more, making the expression 2b greater than b+g.
Based on these cases, the only condition that aligns with g > b is when [tex]\(2b < b + g.[/tex]
Thus, the correct answer is: B. 2b < b + g.
To find which statement is correct, let's consider the relationship between the number of green balls (g) and the number of blue balls (b). Since the bag has more green balls than blue balls, it means that g > b.
To compare the expressions 2b and b + g, let's examine their relationship under the condition g > b
When 2b > b + g
Rearranging 2b > b + g, we get:
b > g.
This contradicts the condition g > b.
So, this case is not possible.
Case 2: When 2b < b + g :
Rearranging 2b < b + g, we get:
b < g,
which aligns with the given condition g > b.
Hence, this condition is possible.
When 2b = b + g
Rearranging 2b = b + g, we get: [tex]\[b = g.\][/tex]
This condition contradicts the original requirement g > b, so this case is also not possible.
The only condition that aligns with g > b is when [tex]\(2b < b + g.[/tex] Thus, the correct answer is: B. 2b < b + g.
Question : A bag has more green balls than blue balls, and there is at least one blue ball. Let b represent the number of blue balls and let g represent the number of green balls. Let's compare the expressions 2b and b+g. Which statement is correct?
A. 2b>b+g
B. 2b C. 2b=b+g
D. There is not enough information to tell.
By using the completing the squares method solve
Xsquared-8x+3=0
Answer:
x = 4 ± [tex]\sqrt{13}[/tex]
Step-by-step explanation:
Given
x² - 8x + 3 = 0 ( subtract 3 from both sides )
x² - 8x = - 3
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = - 3 + 16
(x - 4)² = 13 ( take the square root of both sides )
x - 4 = ± [tex]\sqrt{13}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{13}[/tex]
The value of equation x² - 8x + 3 = 0 using the completing the square method is found as x = 4 ± √13.
Explanation:To solve the equation x² - 8x + 3 = 0 using the completing the square method, follow these steps:
Move the constant term to the right side of the equation, take half of the coefficient of x, square it, and add it to both sides of the equation, simplify, take the square root of both sides, and finally add 4 to both sides.To solve the equation x² - 8x + 3 = 0 using the completing the square method, follow these steps:
Move the constant term to the right side of the equation: x² - 8x = -3Take half of the coefficient of x, square it, and add it to both sides of the equation: x² - 8x + 16 = -3 + 16Simplify: (x - 4)² = 13Take the square root of both sides: x - 4 = ±√13Add 4 to both sides: x = 4 ± √13What value of n makes the equation true?
When multiplying exponents, they actually get added.
You can see that the x^9 and the x^2 become x^11.
This means for y to end u p at y^20, with one of them y^10, the other one would also need to be y^10.
n = 10.
Answer:
The correct answer is 10.
Step-by-step explanation:
If you have a product of numbers with the same base, by definition you can add the exponents.
So you have:
yⁿ2x⁹yⁿ4x²y¹⁰=8x¹¹y²⁰
Using the rule of product for x you have:
8x¹¹yⁿy¹⁰=8x¹¹y²⁰
Simplifly 8x¹¹ in both sides of the equation.
yⁿy¹⁰=y²⁰
Using the rule of product for y you have:
yⁿ⁺¹⁰=y²⁰
Divide by y on both sides:
n+10=20
Subtract 10 on both sides:
n=10
Please help ASAP, I will give the brainiest to the person with the right answer.
1. Tracey built a small boat and recorded the distance it traveled. The table below shows the distance traveled (f) during the first 4 seconds after starting (p).
Which of the following equations represents the relationship between the distance traveled and the elapsed time?
A. p = 4.2f
B. f = 4.2p
C. p = 4.2 + f
D. f = 4.2 + p
2. It costs $1.58 to buy a bag of popcorn. Which of the following equations shows the amount of money needed, z, to buy n bags of popcorn?
A. z = 1.58 + n
B. n = 1.58 + z
C. z = 1.58n
D. n = 1.58z
3. True or False?
When rainfall increases, the water level in the lake goes up. Rainfall is the independent variable in this situation.
True
False
4. Calvin's plane is flying at a speed of 600 miles per hour. If y represents the distance the plane has traveled and z represents the time it has spent traveling, which of the following equations shows the relationship between y and z?
A. y = 600 + z
B. z = 600 + y
C. z = 600y
D. y = 600z
5. Diana can earn money for the tickets she sells. Which of the following statements describes the variables in this situation correctly?
A. The amount of money earned is the independent variable because it affects the number of tickets sold.
B. The amount of money earned is the dependent variable because it affects the number of tickets sold.
C.The number of tickets sold is the independent variable because it affects the amount of money earned.
D.The number of tickets sold is the dependent variable because it affects the amount of money earned.
Answer: i think the answer is B for number 1
Step-by-step explanation:
Answer:
1.
The slope is : [tex]\frac{8.4-4.2}{2-1}[/tex] = 4.2
[tex]\frac{12.6-8.4}{3-2}[/tex] = 4.2
We can see that the distance is same each time.
Hence, the equation that represents the relationship between the distance traveled and the elapsed time is [tex]f=4.2p[/tex]
2.
Let the amount of money needed be = z
Total bags purchased = n
Cost of 1 bag = $1.58
So, the required equation is :
[tex]z=1.58n[/tex]
3.
When rainfall increases, the water level in the lake goes up. Rainfall is the independent variable in this situation. This is True.
Here the water level is dependent on the amount of rainfall so water level is dependent and rainfall is independent. Rainfall is not dependent on the water level in a lake.
4.
Let y represents the distance the plane has traveled.
Let z represents the time it has spent traveling.
distance = speed x time
So, [tex]y=600z[/tex]
5.
Diana can earn money for the tickets she sells. Here tickets are independent and money earned is dependent on the number of tickets sold. The more tickets sold, the more money Diana can earn.
So, the answer is : C: The number of tickets sold is the independent variable because it affects the amount of money earned.
Use synthetic division to find the quotient and remainder !!!! HELP NEEDED!!!!
For this case we must build a quotient, such that when multiplied by the divisor and then change the sign, go eliminating the terms of the dividend until you reach the remainder.
It must be fulfilled that:
Dividend = Divider * Quotient + Remainder
ANswer:
Option D
See attached image
Which of the following points does not lie on the graph of y=32x?
A.) (-1,-9)
B.) (1,9)
C.) (1/2,3)
Final answer:
None of the given points A (-1, -9), B (1, 9), and C (1/2, 3) lie on the graph of y=32x, as the calculated y values using the equation do not match the given y values of the points.
Explanation:
The question asks which of the following points does not lie on the graph of y=32x. To determine this, we need to substitute the x value of each point into the equation y=32x and see if the resulting y value matches the y value of the point.
For point A (-1, -9), substituting x = -1 gives y = 32(-1) = -32, which does not match the y value of point A, so A does not lie on the graph.
For point B (1, 9), substituting x = 1 gives y = 32(1) = 32, which does not match the y value of point B, so B also does not lie on the graph.
For point C (1/2, 3), substituting x = 1/2 gives y = 32(1/2) = 16, which does not match the y value of point C, so C also does not lie on the graph.
All given options A, B, and C do not lie on the graph of y=32x because the calculated y values do not match the provided y values of the points.
mr smith buys pencils at $250 per hundred and sells each at $1.75 find his loss or profit
Answer:
per 100 pencils he looses $75
Step-by-step explanation:
If he sells 100 pencils at $1.75 he will make $175 which is less than the $250 he spent for the 100 pencils. So per 100 pencils he looses $75
A square piece of cardboard has sides that are 7/12 meter long. What is the carb words perimeter
Since it’s a square all sides are even. Meaning you multiply 7/12 by 4. Giving you 7/3 or 2 ⅓. Hope this helps!
The perimeter of a square piece of cardboard with each side measuring 7/12 meter is found by using the formula P = 4a. After calculation, the perimeter is 2 1/3 meters.
The question asks us to calculate the perimeter of a square piece of cardboard with each side measuring 7/12 meter. To find the perimeter of a square, we use the formula P = 4a, where 'P' is the perimeter and 'a' is the length of one side. Since all sides of a square are equal, we simply multiply the length of one side by 4.
In this case, the length of one side (a) is 7/12 meter, so the perimeter (P) would be:
P = 4 × (7/12 meter)
P = (4 × 7/12) meter
P = 28/12 meter
P = 7/3 meter (after simplifying)
P = 2 1/3 meters (in mixed numbers)
Therefore, the perimeter of the square piece of cardboard is 2 1/3 meters.
What is the value of y in the equation 6.4x +2.8=44.4 , when x=3 ?
y=
Answer:
y=3.15
Step-by-step explanation:
I am assuming you meant 2.8y in your equation.
Plug in for x
6.4(3)+2.8y=44.4
6.4*3=19.2
So now 19.2 + 2.8y = 44.4
44.4-19.2=25.2
25.2/2.8=3.15
Meaning Y=3.15
Why does a y-intercept not count as a zero?
Answer:
It only counts as a zero when the y-intercept is (0,0).
Step-by-step explanation:
The zeros of a quadratic function are always written as (x,0), while the y-intercept is always written as (0,y). Therefore, in order for a y-intercept to be a zero, it must be (0,0), because the y-coordinate in any zero is 0. At any other time, the y-intercept is not a zero.
Final answer:
The y-intercept represents the starting value of the relationship when x is zero, but it is not considered a zero itself.
Explanation:
The y-intercept, also represented as 'b' in the equation y = mx + b, is the point where the line intersects the y-axis. It indicates the starting value of the relationship when x is zero. However, the y-intercept does not count as a zero because it represents a specific value on the y-axis, rather than being a zero value on the x-axis. For example, if the y-intercept is 5, it means that the line starts at the point (0, 5) on the coordinate plane.
Which graph is the shape of a normal curve.
Answer:
I think A i think
Step-by-step explanation:
If a circle has a radius of one in the sector defined by a 37° arc what is the area in centimeter squared of the sector
Answer:
(37/360)π cm² ≈ 0.322886 cm²
Step-by-step explanation:
The area of a sector is given by the formula ...
A = (1/2)r²θ . . . . . where r represents the radius and θ is the central angle is radians
Here, you have r = 1 cm, and θ = (37°·π/180°), so the area is ...
A = (1/2)(1 cm)²·(37π/180) = 37π/360 cm²
A ≈ 0.322886 cm²
Solve the equation using square roots. 3x2 – 27 = 0
A. no real number solutions
B. Plus or minus 9.
C. Plus or minus 3.
D. 3
Answer:
C, Plus or minus 3
Step-by-step explanation:
to solve 3x² - 27 = 0, we want to get the x by itself, so lets add 27 to both sides.
3x² = 27 < divide both sides by 3 to get x alone
3x²/2 =x²
27/3 = 9
x² = 9 < we can use the square-root property and square both sides of the equation to get x alone. we use the ± because there are 2 possible solutions to a square rooted number
√x² = x
√9 = 3
x = ±3
looking at our answer choices, the correct answer is C
Answer:
C. Plus or minus 3
Step-by-step explanation:
Take a GCF of 3 out of both terms in the binomial. You'll get 3*(x^2-9)=0. Then use FOIL to get the binomials (x+3) and (x-3). You're answers will be -3 and 3
Given the graph of the function, f(x), what is the value of f (–2)?
Answer:
0
Step-by-step explanation:
Look at x = -2 on the graph (on the x-axis). Draw a vertical line through x = -2. If this line passes through a dark dot (which indicates that a y-value is associated with that x-value), we have evaluated the function. The dot in question is (-2, 0) (dark dot). The same vertical line passes through (-2, -2), but this is not the correct y value for x = -2 (it's an open circle).
The value of [tex]f(-2)[/tex] is [tex]0[/tex].
Given:
The graph of the function [tex]f(x)[/tex].
To find:
The value of [tex]f(-2)[/tex].
Explanation:
In the given graph there is an open circle at [tex](-2,-2)[/tex] and a closed circle at [tex](-2,0)[/tex]. It means the point [tex](-2,0)[/tex] is included in the function but the points [tex](-2,-2)[/tex] does not included in the function.
[tex]f(-2)=0[/tex]
Therefore, the value of [tex]f(-2)[/tex] is [tex]0[/tex].
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State which of the following sets of ordered pairs represent a function.
Set A: (5, 2), (4, 3), (3, 4), (2, 5)
Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set C: (2, 1), (4, 2), (2, 3), (8, 4)
a.
Set C
b.
Set B
c.
Set A
d.
Set A and Set B
Please select the best answer from the choices provided
A
B
C
D
Answer:
d. Set A and Set B
Step-by-step explanation:
We have been given three sets:
Set A: (5, 2), (4, 3), (3, 4), (2, 5)
Set B: (-1, -6), (0, 2), (1, 2), (3, 6)
Set C: (2, 1), (4, 2), (2, 3), (8, 4)
Now we need to state about which of the following sets of ordered pairs represent a function.
We know that a function can't have repeated values in domain that is x-value can't repeat.
we see that set C has repeated x-value "2".
Then set C is not a function.
Hence correct choice is:
d. Set A and Set B
Answer:
A and B represent functions.
Step-by-step explanation:
In a function, any input (x-) value may have only one associated y value. If the same input appears more than once, we know immediately that the data do not represent a function.
A: The inputs are unique: {5, 4, 3, 2} so this is a function.
B: The inputs are unique: {-1, 0, 1, 3}, so this is a function.
C: 2 is used twice as input, so this is not a function.
A text message plan costs $5 per month plus $0.37 per text. Find the monthly cost for x text messages.
The monthly cost of x messages is dollars.
(Use integers or decimals for any numbers in the expression.)
Answer:
The monthly cost would be equivalent to [tex]=0.37x+5[/tex]
I’m confused on how to do this problem and I’m not sure how to solve it either. Any help is helpful, thank you.
Answer:
4.1 =y
Step-by-step explanation:
This is a problem involving trig.
sin of a angle is equal to opposite side divided by hypotenuse
sin 36 = y / 7
Multiply each side by 7
7 sin 36 = y/7 * 7
7 sin 36 = y
4.1144 = y
To 1 decimal place
4.1 =y
Figure missing numbers
And a rule
Answer:
-5, -3, -2
Step-by-step explanation:
This is correct because you are adding each by -2. The inputs are -3, -2,-1, 0,-1
the outputs become -5,-4,-3,-2,-1
Hopefully I helped
For this case we must propose a function of the form[tex]y = f (x)[/tex]that complies with the given relation:
We have the values of "x", that is, the entry is given by:
-3, -2, -1,0,1
If we propose:
[tex]f (x) = x-2[/tex]
We have the values of "and", that is, the output will be given by:
[tex]f (-3) = - 3-2 = -5\\f (-2) = - 2-2 = -4\\f (-1) = - 1-2 = -3\\f (0) = 0-2 = -2\\f (1) = 1-2 = -1[/tex]
The relationship is fulfilled.
Then, the function is f (x) = x-2
Answer:
[tex]-5, -4, -3, -2, -1\\f (x) = x-2[/tex]
If a cylinder has a height of 7in and a volume of 2,908.33in^3, find its diameter
Answer:
About 23 in
Step-by-step explanation:
2908.33/7=415.475
415.475/[tex]\pi[/tex]=132.31
132.31 sqr rt = r = 11.5
2r=d
d=23 aprox
The diameter of the cylinder is approximately 22.94 inches.
To find the diameter of the cylinder, we can use the formula for the volume of a cylinder:
Volume [tex]= \pi \times r^2 \times h,[/tex]
where π is a mathematical constant (approximately 3.14159), r is the radius of the cylinder, and h is the height of the cylinder.
Given that the height of the cylinder is 7 inches and the volume is 2,908.33 cubic inches, we can rearrange the formula to solve for the radius:
Volume [tex]= \pi \times r^2 \times h[/tex]
[tex]2,908.33 = \pi \times r^2 \times 7[/tex]
Dividing both sides of the equation by 7π, we have:
[tex]r^2[/tex] = 2,908.33 / (7π)
[tex]r^2[/tex] ≈ 131.50
Taking the square root of both sides, we get:
r ≈ √131.50
r ≈ 11.47.
The radius of the cylinder is approximately 11.47 inches.
To find the diameter, we multiply the radius by 2:
d = 2 [tex]\times[/tex] r
d ≈ 2 [tex]\times[/tex] 11.47
d ≈ 22.94
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The gas tank of Wendy’s car was 23 full. She used 16 of a tank of gas when driving to and from work. Which equation shows how full the gas tank is now?
23−26=13 tank
26−23=13 tank
23−16=12 tank
16−23=12 tank
Answer:
The 3rd choice: 2/3 tank - 1/6 tank = 1/2 tank
Step-by-step explanation:
I assume those numbers are fractions.
The gas tank of Wendy’s car was 2/3 full. She used 1/6 of a tank of gas when driving to and from work. Which equation shows how full the gas tank is now?
We subtract 1/6 from 2/3. We need to use the common denominator 6.
2/3 - 1/6 = 4/6 - 1/6 = 3/6
Now we reduce 3/6.
2/3 - 1/6 = 1/2
Answer: 2/3 tank - 1/6 tank = 1/2 tank
what is the logarithmic form of 81=3^4
Answer:
log3 81 = 4
Step-by-step explanation:
Convert the exponential equation to a logarithmic equation using the logarithm base (3)(3) of the right side (81)(81) equals the exponent (4)(4).
log3(81)=4
or
you can remember this
loga Y= X
so, a^x =y
The logarithmic form of the equation 81=3^4 is log3 81 = 4. It uses the base number 3 (which is being raised to a power), the result of the multiplication (81), and the number of times 3 is multiplied by itself (4).
Explanation:The logarithmic form of the equation 81=3^4 can be found by applying the basic principles of logarithms. Remember, a logarithm is another way to express exponentiation, in a format that involves the base number, the exponent, and the result. Therefore, the logarithmic form of 81=3^4 is written as log3 81 = 4.
To understand this, consider the logarithmic expression log3 81 = 4. The base number (3 in this case) is the number being multiplied repeatedly (the number being raised to a power). The number 81 is the result of this multiplication, and 4 is the number of times base number, 3, is multiplied by itself to get 81. So, in this case, 3 to the power of 4 (3*3*3*3) equals 81.
So, in short, for the equation 81=3^4, the logarithmic form will be log3 81 = 4. This equation reads as "log base 3 of 81 equals 4".
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i don't know how to factor this, what should I do to get the right answer
Answer:
Step-by-step explanation:
First, you can reduce it
4(n^2-11n+30)
This should make it easier to work with. But remember, keep the 4 there. You cannot just get rid of it because it would change the value of the equation
Now find factors of 30 that have a difference or ad up to 11.
Factors of 30:
1, 30
2, 15
3, 10
5, 6
Ahh yes, 5 and 6 add to 11
4(n-5)(n-6)
What is the closed linear form of the sequence of the negative even integers starting with -2?
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
What’s the perpendicular slope of -3/2
[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{3}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{3}}\qquad \stackrel{negative~reciprocal}{+\cfrac{2}{3}\implies \cfrac{2}{3}}}[/tex]
If F(x) = 7x - 6, which of the following is the inverse of F(x)?
Answer:
[tex]f^{-1} (x)=\frac{x+6}{7}[/tex]
Step-by-step explanation:
To find the inverse of a function, we must substitute in y for f(x), swap the locations of y and x, and then solve for y
[tex]y=7x-6\\\\x=7y-6\\\\x+6=7y\\\\y=\frac{x+6}{7} \\\\f^{-1} (x)=\frac{x+6}{7}[/tex]
The inverse of the given function [tex]f^{-1}(x)=\frac{x+6}{7}[/tex].
We have given that,F(x) = 7x - 6
We have to determine the value of the inverse function.
What is the meaning of inverse function?
An inverse is a function that serves to undo another function.
That is, if f(x) produces y, then putting y into the inverse of f produces the output x.
To find the inverse of a function,
we must substitute in y for f(x), swap the locations of y and x, and then solve for y,
[tex]y=7x-6\\x=7y-6\\x+6=7y\\y=\frac{x+6}{7}[/tex]
We get the value of [tex]y=(x+6)/7.[/tex]
Taking inverse on both sides so we get,[tex]f^{-1}(x)=\frac{x+6}{7}[/tex]
Therefore the inverse of the given function [tex]f^{-1}(x)=\frac{x+6}{7}[/tex].
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Can I have help with these? Picture attached.
Answer:
5. mCD is 27.8° | 7. mAFC 52.3° |
Step-by-step explanation:
What is the value of x?
Enter your answer in the box
Answer:
x = 8
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
x² + 6² = 10²
x² + 36 = 100 ( subtract 36 from both sides )
x² = 64 ( take the square root of both sides )
x = [tex]\sqrt{64}[/tex] = 8
The answer is in the pic below and good luck,!
Solve the equation. 11.3x + 7.2 = 86.3 8 7 0.7 8.3
Answer:
x = 7
Step-by-step explanation:
Subtract 7.2 from both sides of 11.3x + 7.2 = 86.3, obtaining:
11.3x = 79.1
Then x = 79.1 / 11.3 = 7
The answer is x = 7.
Please, when you list possible answers, separate them from one another using commas, semicolons or new entry lines. Thank you.
For a scholarship, you need to write an essay
that is at least 750 words but no more than 850
words. Write an absolute value equation that
represents the minimum and maximum
number of words the scholarship essay should
be.
I would say an equation would look roughly as such:
y = - | x - 800 | + 50
If you want me to explain how I got to this conclusion just comment on my answer, If you were only looking for the answer then we are good. Brainliest is encouraged but not required :)
The absolute value equation representing the word count for the scholarship essay is |w - 800| <= 50, ensuring that the essay will be between 750 and 850 words long.
To represent the word count requirements for the scholarship essay using an absolute value equation, you can consider the midpoint of the word limit, which is the average between the minimum and maximum word count. This midpoint is at 800 words since (750 + 850) / 2 equals 800. Now, you can state the absolute difference from this midpoint that is allowed on either side of 800, which is 50 words, since 850 - 800 equals 50 and 800 - 750 equals 50. Therefore, the absolute value equation that represents the number of words (w) the scholarship essay should be is |w - 800| <= 50. This equation tells us that the word count can be 50 words fewer or 50 words greater than 800, perfectly capturing the range of 750 to 850 words.
There are 144 square inches in 1 foot. How many square inches are in 3.5 square feet?
Answer:
504
Step-by-step explanation:
144X3.5=504
There are [tex]\( \boxed{504} \)[/tex] square inches in 3.5 square feet.
To convert square feet to square inches, we can use the given conversion factor that there are 144 square inches in 1 square foot. We need to determine how many square inches are in 3.5 square feet.
Here is the step-by-step calculation:
1. Start with the given conversion factor:
[tex]\[ 1 \, \text{square foot} = 144 \, \text{square inches} \][/tex]
2. Multiply the number of square feet by the conversion factor to get the number of square inches:
[tex]\[ 3.5 \, \text{square feet} \times 144 \, \text{square inches per square foot} \][/tex]
3. Perform the multiplication:
[tex]\[ 3.5 \times 144 = 504 \][/tex]
Q:1 4 BARS WERE SHARED BETWEEN 8 PEOPLE. WHAT FRACTION OF BARS DOES EACH PERSON GET?
Q:2 12 PACKAGES ARE SHARED EQUALLY BETWEEN 6 PEOPLE. WHAT FRACTION OF A PACKAGE DOES EACH PERSON GET?
Q:3 10 CARROTS ARE SHARED EQUALLY BETWEEN 17 RABBITS. WHAT FRACTION OF A CARROT DOES EACH RABBIT GET?
ANSWER ASAP PLEASE
Answers:
1.) Each person gets half a bar. (1/2) (4 is half of 8. As such, breaking each bar in half and distributing it that way would make it so that everyone gets the same amount.)
Answer: 1/2
2.) Each person gets 2 packages.
Answer: 2/1 or 2
3.) Each rabbit gets 10/17 ths of a carrot.
10/17 cannot be simplified any further than it already is, as 17 is a prime number. This means that every rabbit simply gets 10/17ths of a carrot.