Use the equation $18.62 + c = $26.00, where c is the
item cost, to find the most expensive item Trish can buy.
Answer:
C=$7.38
Step-by-step explanation:
$18.62 + c = $26.00
$26-$18.62=$7.38
c=$7.38
Brice has twice as many stamps in his collection as his friends Anthony and Paul
combined.
Paul has 32 stamps in his collection Brice has 96 stamps in his
collection. How many stamps does Anthony have in his collection?
The equation 2(x +32)=96 models this situation. Which choice
shows the sequence of operations needed to solve this problem, using
both arithmetic and algebra?
Answer:
You'recorrect it's C :>
Step-by-step explanation:
96 in half it would be 48, 32 minus 48 is 16 and it says divide by 2 and subtract 32 and you get 16.
The length of a rectangle is 97 meters and the width is 14 meters. Find the area. Give your answer without units.
Answer: The zone of a rectangle is the item of length and width in this way the zone will be 1358 square meters.
Step-by-step explanation:
Rectangle ?
A rectangle may be a geometrical figure in which inverse sides are equal. The point between any two successive sides will be 90 degrees. The edge of the rectangle = 2( length + width). It has 4 sides, 4 points, and 4 corners (vertices)
It is known that,
Area of rectangle = length × Breadth
Area = 97 x 14 = 1358 square meters
Hence
The range of a rectangle is the item of length and Breadth in this way the zone will be 1358 square meters.
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The area of the rectangle is 1358
GIVEN-
Length=97
breadth=14
TO FIND-
Area of rectangle
STEPS-
Area of rectangle= length×breadth
∴area of rectangle=97 x 14
=1358
The area of rectangle is 1358m
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The measure of angle x is x = 51°
The area of the shaded portion of the circle A = 47.17 cm²
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the area of the shaded region of the circle be represented as A
Now , the equation will be
From the figure , the line AB is a straight line
And , 129° + x° = 180°
Subtracting 129° on both sides of the equation , we get
x° = 180° - 129°
On simplifying the equation , we get
x° = 51°
So , the measure of angle x = 51°
And ,
Area of the shaded region A = Area of the sector of circle - Area of triangle
Now , sin 51° = h / 8 ( from Pythagoras Theorem )
Multiply by 8 on both sides of the equation , we get
h = 8 x ( sin 51° )
h = 8 x 0.7771
h = 6.2168
h ≈ 6.22 cm
Now , Area of the sector of circle = ( 129π ( 8 )² ) / 360
On simplifying the equation , we get
Area of the sector = 72.05 cm²
And , Area of triangle = ( 1/2 ) x 8 x 6.22
Area of triangle = 24.88 cm²
Now , Area of the shaded region A = Area of the sector of circle - Area of triangle
Substituting the values in the equation , we get
Area of the shaded region A = 72.05 cm² - 24.88 cm²
Area of the shaded region A =47.17 cm²
Hence , the area of the shaded region of the circle A is 47.17 cm²
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Rose invests $80 in an account that pays 1% annual interest, compounded monthly.
Emily invests $50 in an account that pays 2% annual interest, compounded weekly.
Whose balance is greater after 10 years?
Type Rose or Emily
If P(A)=0.4,P(B)=p,P(A∪B)=0.6 and A and B are given to be independent events , find the value of p
The value of p is 1/3.
P(A∪B) = P(A) + P(B) − P(A∩B)
0.6 = 0.4 + p − P(A∩B)
(A∩B) = 0.4 + p − 0.6 = p − 0.2
Since , A and B are independent events.
P(A∩B) = P(A) × P(B)
p − 0.2 = 0.4 × p
p − 0.4p = 0.2
p = 0.2/0.6 = 1/3
The chance of an event happening given that another event has already occurred (via assumption, supposition, statement, or evidence) is known as conditional probability in the field of probability theory. [1] This particular approach depends on event B happening in some way connected to another event A. In this case, a conditional probability analysis with respect to event B is possible.
The probability of A under the condition B is typically expressed as P(A|B)[2] or PB if the event of interest is A and the event B is known to have occurred or is assumed to have done so (A). This can alternatively be thought of as the percentage of possibility that B and A will collide.
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Can u pls help me with me math
Answer:
Step-by-step explanation:
answer the prenthese first then multiply the numbers that are not in the prenthese. if u dont understand it let me know
The rate of change of the volume V with respect to time t of water leaking from a tank is proportional to the cube of the volume. Which of the following is a differential equation that could describe this relationship? a. dV/dt = -1.4t^3 b. dV/dt = -0.2V^3 c. dV/dt =0.75t^3 d. dV/dt = 0.15V^3
dV/dt = -1.4t³ is differential equation that describe the relationship.
The differential equation dV/dt = kV³ where k is the constant will forecast the rate of change of volume.
We know that a tank's water leak causes its volume to fluctuate at a pace that is proportional to its cube as time passes.
The tank is leaking the volume. Therefore, the rate might be expressed negatively.
The rate of change of volume can be expressed as follows: dV/dt is proportional to V³ that is dV/dt = kV³ for the specified conditions.
The proportionality constant in this case is k. By employing the boundary conditions, its value can be determined.
Therefore, dV/dt=kV³ where k is the constant will be the differential equation predicting the rate of change of volume.
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the cook at the elmView School cafeteria made grilled chicken and fried chicken yesterday for lunch he made five pieces of grilled chicken for every two pieces of fried chicken if the cook made 80 pieces of fried chicken how many pieces of chicken did he make all together
Using simple unitary method and the provided conditions and values, The answer is he made 280 chicken all together.
What is unitary method?The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.
Why is unitary method important?The unitary method is a useful tool for solving problems involving units of measurement, it simplifies the problem and improves understanding of conversions. It also helps to develop critical thinking skills and is a useful tool for problem-solving in a variety of subjects.
5 grilled chicken for 2 fried chicken.
5/2 grilled chicken for 1 fried chicken.
5/2 * 80 grilled chicken for 80 fried chicken.
200 grilled chicken for 80 fried chicken.
total = 200 +80 =280
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How do you know if a equation is quadratic or not?
To determine whether it is a quadratic equation or not, look at the highest degree of the polynomial. if the highest degree is 2, it is a quadratic equation.
A quadratic equation is an equation of degree 2. The standard form of a quadratic equation is:
ax² + bx + c = 0, with a ≠ 0
To determine whether it is a quadratic equation or not, look at the highest degree of the polynomial.
Example 1:
2x + 1 = 0
This is not a quadratic equation since its highest degree is 1
Example 2:
2/x² + x = 0
This is not a quadratic equation, since 2/x² = 2x⁻²
Example 3:
4 - 5m² = 3m
This is a quadratic equation, since the highest degree is 2. Furthermore, it can be transformed to the standard form:
- 5m² - 3m + 4 = 0
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Using a unit circle display, give an example of an angle satisfying each inequality
The angles that satisfy the inequality are 270° < A < 360°, 90° < B < 180° and 180° < C < 270°.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
A circle is a unit circle.
A).
cos(A) > 0 and sin(A) < 0.
And that property is in between 270° < A < 360°
That means, value of A will be in fourth quadrant.
B).
cos(B) < 0 and sin(B) > 0.
And that property is in between 90° < B < 180°
That means, value of B will be in the second quadrant.
A).
cos(C) < 0 and sin(C) < 0.
And that property is in between 180° < C < 270°
That means, value of A will be in third quadrant.
Therefore, the angles that satisfy the inequality.
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lisa needs to sell at least 140 cards to make a profit. monday-thursday she sells 15,7,14,45 cards. how many more will she need to sell on friday to make a profit?
To make a profit, Lisa must sell 59 cards on Friday
How to determine how many more she will need to sell on Friday?From the question, we have the following parameters that can be used in our computation:
Sales that gives profit = at least 140 cards
Sales on Monday to Thursday = 15,7,14,45 cards
This means that
Friday = Sales that gives profit - Sales on Monday to Thursday
Substitute the known values in the above equation, so, we have the following representation
Friday = 140 - (15 + 7 + 14 + 45)
Evaluate
Friday = 59
Hence, the sales is 59
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List the bames and corresponding speeds from least to greatest in mile per hour. (Hint: 1,610 meters)
Note that this prompt is an exercise on Metric Units for distance. The names and corresponding speeds from least to the greatest in Miles/Hour are listed below:
The most frequent units of distance in the metric system are
millimeters, centimeters, meters, and kilometers.Then you also have:
MilesYardFootNautical Miles Nanometers etc.To solve the problem of graduation as regards the above listed names, we must convert all distances to miles.
A) Julie's Distance is 62 Miles/Hr (Given, hence no computation required)
B) Monalo's Distance is 311,520 Feet/Hr
Note that:
1 Foot = 0.000189394 miles
Thus, 311,520 Feet in miles =
311,520 x 0.000189394
= 59.00001888
Thus,
Monalo's Distance in Miles/Hr [tex]\approx[/tex] 59 Miles/Hr
C) Leshawn 1,448 meters per minute
We must convert to Hour for sake of consistency.
Since there are 60 minutes in an hour, we have the distance in meters are:
1448 x 60
= 86,880 meters/Hr
Next, we must now convert meters to Miles. Recall that
1 Meter = 0.000621371 Miles
Thus, 86,880 meters/Hr in miles is
86,880 x 0.000621371
= 53.98471248/Hr
Therefore,
Leshawn's distance in Miles [tex]\approx[/tex] 54 Miles/Hr
Given the above, the names and corresponding speeds from least to greatest in miles per hour is:
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Full Question:
List the names and corresponding speeds from least to greatest in miles per hour. Julie 62 miles per hour Manalo 311,520 feet per hour and Leshawn 1,448 meters per minute
Why Did The Stage Manager Put Paste On The Programs?
Because he wanted the audience glued to their seats, the stage manager pasted paste on the programmes.
Even before the first rehearsal, the stage manager is involved in the performance. During
He or she is in charge of preparing all the materials during what is known as "PREP WEEK."
for the opening of the rehearsals. The first step is for actors to completely TRUST the stage management.
Being structured from the first minute of the first rehearsal is essential to gaining that trust.
The stage manager is accountable for attending each rehearsal during the rehearsal time to
aid the director, create CUE SHEETS, let the actors know what the director wants, and all the
Develop strong working connections with DEPARTMENT HEADS, who are perhaps the most crucial, everyone involved in the show.
The director frequently moves on to another production after the first performance.
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simplify the expression
(5j + 1)(7) =
Answer: 7+35j
Step-by-step explanation: First we have to distribute 7 to 1 and 5j. So, (7*1)+(7*5j). So our final answer would be 7+35j
PLEASE I NEED HELP ASAP I WILL MARK BRAINLEIST AND I WILL GIVE YOU 100 COINS IF YOU GIVE ME THE RIGHT ANSWER PLEASE HELP!!!
What is four over five times one over three?
Answer: There u go
Step-by-step explanation:
In each of the following equations…
The values of variables are
a. x = -3/2; b. x = 0; c. y = 5; and d. a = 0 and b = 0.
A mathematical definition of an equation is a statement that two expressions are equal and joined by the equals sign "=". In algebra, an equation only satisfies a definite value of the variable.
To solve an equation we need to do operations like adding and subtracting the same integers or dividing or multiplying with the same integers.
Given equations can be solved as follows
a. 2x + 3 = 0
Add -3 on both sides
=> 2x + 3 - 3 = 0 - 3
=> 2x = - 3
=> x = -3/2
b. 7x = 0
dividing by 0 into both sides
=> 7x/7 = 0/7
=> x = 0 [ ∵ 0/x = 0 ]
c. 7(y - 5) = 0
divide by 7 into both sides
=> 7(y - 5)/7 = 0/7
=> (y - 5) = 0
Add 5 on both sides
=> y - 5 + 5 = 0 + 5
=> y = 5
d. ab = 0
If we divided by 'a' into both sides
=> ab/a = 0/a
=> b = 0
If we divided by 'b' into both sides
=> ab/b = 0/b
=> a = 0
Therefore,
The values of variables are
a. x = -3/2; b. x = 0; c. y = 5; and d. a = 0 and b = 0.
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Your taxi cab ride costs $0.75 per mile and a fee of $4.00 per ride. How far can you ride for $11.50?
Using the provided values with the data for the per ride fee and per mile cost, The answer is 10 miles.
What do you mean by cost?The term "cost" can have a variety of meanings depending on the context in which it is used. In general, it refers to the amount of money or resources that must be expended in order to acquire or produce something. In a business setting, cost typically refers to the expenses associated with manufacturing or acquiring a product or service, such as materials, labor, and overhead. In a personal finance context, cost might refer to the expense of purchasing a good or service, such as a car or a vacation.
What is selling price?Selling price, also known as the "price point" or "retail price," is the amount at which a product or service is offered for sale to the customer. It is the final price that the customer pays, which includes all costs associated with producing and bringing the product or service to market, as well as any profit margin that the seller wishes to make. The selling price is determined by a number of factors, such as the cost of production, competition, market demand, and the seller's desired profit margin.
total = 11.5
remaining = 11.5-4 = 7.5
distance = 7.5 /0.75 =10 miles
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Which invesment is better $1200 at 9% 2 years or $ 1200 at 8% for 2 years
If m= 2, n=3, and p= -1, then find the value of: 2mn4 – 15m2n + p
Answer:
-131
Step-by-step explanation:
2mn4-15m2n+p
input each value in the letter
2(2)(3)4-15(2)2(3)+ (-1)
= -131
The value of the given expression is 143.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 2mn⁴-15m²n+p.
Here, m=2, n=3 and p=-1
Now, 2×2×3⁴-15×2²×3+(-1)
= 324-180-1
= 143
Therefore, the value of the given expression is 143.
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What’s the answer to (-4, 7), (-6, -4
The slope of the points (-4, 7) and (-6, -4) when a line passes through them is 5.5
How to calculate the slope of the line?From the question, we have the following parameters that can be used in our computation:
(-4, 7), (-6, -4
When the above points are expressed properly, we have the following ordered pairs
(x, y) = (-4, 7) and (-6, -4)
The formula for the slope of the line is then represented using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
In this case, the values of the variables are
(x, y) = (-4, 7) and (-6, -4)
Using the above as a guide, we have the following:
Substitute the known values in the above equation
So, we have the following equation
Slope = (-4 - 7)/(-6 + 4)
Evaluate
Slope = 5.5
Hence, the slope of the line is 5.5
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Complete question
What’s the answer for the slope of (-4, 7), (-6, -4)?
A = {1, 3, 5, 7, 9}
B = {2, 4, 6, 8, 10}
C = {1, 5, 6, 7, 9}
A ∪ B=
1. ∅
2. integers between 1 and 10
3. integers from 1 to 10 inclusive
From the set given, A ∪ B =
3. integers from 1 to 10 inclusiveHow to find the the set A ∪ BInformation given in the question
A = {1, 3, 5, 7, 9}
B = {2, 4, 6, 8, 10}
C = {1, 5, 6, 7, 9}
A ∪ B, is called A union B. To solve for A ∪ B, we take all the elements of set A and all the elements of set B together
= {1, 3, 5, 7, 9} + {2, 4, 6, 8, 10}
= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Hence this equals integers from 1 to 10 inclusive
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if g(x)=x-2 and h(x)=x^2-1 , what is ( g•h)(x)
The composition of two functions, g(x) and h(x), is written as (g•h)(x).
What is function?Function in math is a relationship between two variables where one variable determines the behavior of the other. It is a mathematical expression that assigns each element in a set to a specific output. Functions can be used to represent things like motion, growth, and decay. They are used to create models that can be used to make predictions and analyze data. Functions are used throughout mathematics and science and can be used to solve real-world problems.
This means that the output of function g(x) is used as the input of function h(x). In this case, (g•h)(x) is equal to h(g(x)). So, (g•h)(x) = h(x-2) = (x-2)^2 - 1.
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Two forces are each applied to an area of 0.06 m2.
The first is applied with a pressure of 20 N/m2, and the second with a pressure of 45 N/m2.
Find the difference between the size of the forces. (units is N)
The difference between the size of the two forces is 1.5 N.
What is the relationship between Pressure, Force, and Area?The relationship between the Pressure, Force, and Area can be seen in their equation, Pressure = Force/Area. According to this equation, pressure equals the force applied to a surface divided by the area on which that is exerted.
In essence, increasing the forces exerted on a surface will increase the pressure. However, decreasing the force decreases the pressure.
Using the equation:
Pressure = Force/Area.
20 N/m² = Force/0.06 m²
Force_1 = 20 N/m² * 0.06 m²
Force_1 = 1.2 N
Force_2 = 45 N/m² * 0.06 m²
Force_2 = 2.7 N
The difference between the size of the forces are:
= 2.7 N - 1.2 N
= 1.5 N
Therefore, we can conclude that the difference between the size of the two forces is 1.5 N.
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5) There are 112 grams of a radioactive element and
it decays at a rate of 1.5% per year. Write an
model of this scenario.
exponential
The mass of the radioactive material for n years can be modeled as 112(1 - 1.5/100)ⁿ
How to find the decay rate of an exponential function?An exponentially decaying function has a general form f(x) = (1 -r)ˣ, where r is called the decay rate. it can be found by having any two values of x for which f(x) is known.
The initial mass of radioactive element is given as 112 grams.
And, the decay rate is 1.5%.
Then, the expression for the mass after n years can be written as,
P(1 - r/100)ⁿ
Where P is the initial value, r is the decay rate in percent.
Plug P = 112 and r = 1.5 to obtain the required model as,
⇒ 112(1 - 1.5/100)ⁿ
Hence, the exponential model for the given case is 112(1 - 1.5/100)ⁿ.
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The radius of a circle is 3 miles. What is the circles area?
Answer:
A≈28.27mi²
Step-by-step explanation:
lesson 8 HELP PLEASE
Therefore , the solution of the given problem of equation comes out to be $88.
What or who exactly is the equation?A mathematical formula between the two statements is employed to denote equality when the equivalent letter (=) is utilized. The equivalence of numerous mathematical variables is demonstrated using algebraic equations, which are statements of fact. For instance, the expression data d + 6 = 12 separates the values document d + 6 or 12 with an equal sign. One can quantify the number of syllables that each sides of each symbol corresponds to. A symbol's meaning usually runs counter to itself.
Here,
First, it takes Phil 3 hours do carve a giant boomerang after carving a little one in just 2 hours. He has 24 hours must carve as many boomerangs as possible. Cath can embellish ten boomerangs. Assume that x represents the quantity of small tomahawks and y represents the quantity of giant boomerangs. In light of the facts provided, the following expression can be created.
Here,
2x + 3y = 24 hours in equation 1.
Eq. 2: x + y = 10
Take y = 10 - x from equation 2 as equation 3.
Step 2: We obtain by substituting equation 3 for equation 1
2x + 3y equals 2x + 3(10 - x) = 24, 2x + 30 -3x equals 24, -1x equals -6, and therefore x = 6.
In equation 2, change x to 6 to make
Since x + y = 6 + y = 10, y = 4
Therefore, they ought to produce four huge and six mini boomerangs.
Step 3: Next, we determine how much money they will earn. Each little boomerang will bring in $8, while each big one will bring in $10. So
4 x 10 for each huge boomerang and 6 x 8 for each mini boomerang
=(6 × 8)+ (4 × 10) = 48 + 40 = $88.
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{3x -8y = 29 3x+y=-2 Which ordered pair is the best estimate for the solution to the system?
The ordered pair for the solution to the system? of equations is (13/27, - 31/9).
What is a system of equations?A system of equations is a set of one or more equations involving a number of variables.The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect.Given is the system of equations as follows -
3x - 8y = 29
3x + y = -2
We have the following system of equations -
3x - 8y = 29
3x + y = -2
We can write -
3x + y = - 2
y = - 2 - 3x
So, we can write the first equation as -
3x - 8y = 29
3x - 8(- 2 - 3x) = 29
3x + 16 + 24x = 29
27x = 29 - 16
27x = 13
x = 13/27
Then, the value of [y] will be -
y = - 2 - 3x
y = - 2 - 3(13/27)
y = - 2 - 13/9
y = - (2 + 13/9)
y = - (18 + 13)/9
y = - 31/9
Therefore, the ordered pair for the solution to the system? of equations is (13/27, - 31/9).
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using π as 3 1/7, what is the area of the circle with a diameter of 8.4 cm
if the diameter is 8.4, that means its radius must be half that, or 4.2
[tex]\textit{area of a circle}\\\\ A=\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4.2\\ \pi =3\frac{1}{7}\\[1em] \qquad \frac{22}{7} \end{cases} \implies A=\cfrac{22}{7}(4.2)^2\implies A=55.44[/tex]
Find the missing values in the ratio table. Then write the equivalent ratios in the order they appear in the table.
Meters 8, 4, ,
Minutes 1/3, ,1/4,5/12
The equivalent ratios are 8:1/3, 4:1/6, 6:1/4, 10:5/12.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Let us consider the table as below
Meters 8 4 y z
Minutes 1/3 x 1/4 5/12
Since all the columns are pertaining same ratio; thus we have:
8/(1/3)=4/x=y/(1/4)=z/(5/12)
8/(1/3)=4/x
24=4/x
x=4/24=1/6
So the value of x is 1/6
24=y/(1/4)
24=4y
6=y
So the value of y is 6
24=z/(5/12)
24=12z/5
10=z
Hence, the equivalent ratios are 8:1/3, 4:1/6, 6:1/4, 10:5/12.
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