given supermarket customer sequences. using the aprioriall algorithm, find length-k sequential patterns. <{1, 8} {2} {3} {4} > <{1} {3} {4} {3, 8}> <{1} {2} {3} {4}>
<{1} {3} {8}>
<{4} {8}>

Answers

Answer 1

The Aprioriall algorithm is a method for finding length-k sequential patterns in a set of customer sequences.

To use this algorithm, we need to first specify the minimum support and minimum confidence thresholds. These thresholds determine which patterns will be considered significant. Once the thresholds have been set, the algorithm will iterate over the customer sequences and look for length-k sequential patterns that meet the minimum support and confidence thresholds. In this case, the algorithm would look for length-k sequential patterns in the given customer sequences:

<{1, 8} {2} {3} {4} >

<{1} {3} {4} {3, 8}>

<{1} {2} {3} {4}>

<{1} {3} {8}>

<{4} {8}>

For example, if the minimum support threshold is set to 50% and the minimum confidence threshold is set to 80%, the algorithm might find the following length-2 sequential pattern:

<{1} {3}>

This pattern has a support of 60% (3 out of 5 customer sequences contain this pattern) and a confidence of 100% (all customer sequences that contain the first item in the pattern, {1}, also contain the second item, {3}). Other possible length-2 sequential patterns that the algorithm might find include <{1} {2}>, <{1} {4}>, and <{3} {4}>. The specific patterns found by the algorithm will depend on the specific values of the minimum support and minimum confidence thresholds.

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Related Questions

Find the equation of the line parallel to the line containing points
(2,3) and (0, -5) that passes through (-1,7)

Answers

Answer:B

Step-by-step explanation: I took the test already trust me it is correct

please help with my math

please help with my math

Answers

Answer:

B.) \(6^{\frac{1}{2}}\)

Step-by-step explanation:

Use the exponent rule that states \(a^{\frac{1}{m}}=\sqrt[m]{a}\).  For this problem, let

a=6

m=2

So,

\(\sqrt6=6^{\frac{1}{2}}\)

2.

mZQ :

mZS =

T

91°

27°

R

S

4.

MZW =

mZX =

mZZ:

146°

Y

Z

6. Find mZB.

B

(9x + 2)°

(5x 4)°

C

D

Answers

The measure of angle ZB is (9x + 2)°(5x - 4)°.

What is the measure of angle ZB?

To find the measure of angle ZB, we need to consider the given information. From the statement, we have:

mZQ :

mZS =

T

91°

27°

R

S

This indicates that the measure of angle ZQ is 91 degrees and the measure of angle ZS is 27 degrees.

Next, we have:

MZW =

mZX =

mZZ:

146°

Y

Z

This implies that the measure of angle ZW is equal to the measure of angle ZX, and both of these angles are equal to 146 degrees.

To find mZB, we need to examine the expression:

B

(9x + 2)°

(5x 4)°

C

D

This indicates that angle ZB is represented by the expression (9x + 2)°(5x - 4)°.

Therefore, the measure of angle ZB is given by the product of the two expressions: (9x + 2)° and (5x - 4)°. The specific value of angle ZB will depend on the value of x.

Further information or the value of x is required to determine the numerical measure of angle ZB.

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An infinite charged plane with rho
s

=+2ε
0

is located parallel to the y−z plane at x=+1 m, and a second infinite plane, with rho
s

=−2ε
0

is located parallel to the y−z plane at x=−1 m. What is the electric field at x=1.5 m (above the upper plane)?

Answers

The net electric field at x = 1.5 m (above the upper plane) is zero.

To calculate the electric field at a point above the upper plane (x = 1.5 m), we can consider the two infinite charged planes as two charged sheets. Each sheet has a surface charge density ρs and is located at a different position along the x-axis.

Let's denote the positive plane at x = +1 m as Sheet A and the negative plane at x = -1 m as Sheet B.

The electric field contribution from Sheet A can be calculated using the formula for the electric field above a uniformly charged infinite plane:

\(E_A\) = σ / (2ε₀),

where σ is the surface charge density and ε₀ is the permittivity of free space.

Similarly, the electric field contribution from Sheet B can be calculated as:

\(E_B\) = σ / (2ε₀).

Since the charge densities on both sheets have the same magnitude, but opposite signs, the electric field contributions will cancel each other along the x-axis.

However, when we move above the upper plane (x = 1.5 m), we are no longer exactly on the x-axis, and the electric fields from the two sheets will no longer perfectly cancel each other.

To find the net electric field at x = 1.5 m, we need to calculate the electric field contributions from both sheets and add them vectorially.

Let's first calculate the electric field due to Sheet A at x = 1.5 m:

\(E_A\) = σ / (2ε₀).

The surface charge density σ for Sheet A is given as ρs = +2ε₀, so:

\(E_A\) = (2ε₀) / (2ε₀) = 1.

The electric field due to Sheet A at x = 1.5 m is 1 N/C directed towards the positive x-axis.

Now, let's calculate the electric field due to Sheet B at x = 1.5 m:

\(E_B\)= σ / (2ε₀).

The surface charge density σ for Sheet B is given as ρs = -2ε₀, so:

\(E_B\) = (-2ε₀) / (2ε₀) = -1.

The electric field due to Sheet B at x = 1.5 m is -1 N/C directed towards the negative x-axis.

To find the net electric field at x = 1.5 m, we need to add the contributions from both sheets:

\(E_{net} = E_A + E_B\)

      = 1 N/C + (-1 N/C)

      = 0 N/C.

Therefore, the net electric field at x = 1.5 m (above the upper plane) is zero.

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what two numbers can multiply to get 400 and add to get 8

Answers

Answer:

you will say what is the L.C.M OF 400 AND8

(a) give the sine series for u(x,0). include the first four nonzero terms. each coefficient should be a single reduced fraction with no trig functions and no decimals. (b) give the solution to the heat equation, u(x,t). include the first four nonzero terms. each coefficient should be a single reduced fraction with no trig functions and no decimals.

Answers

The heat equation is a partial differential equation used to study the behavior of heat transfer. Its solution is a sine series with coefficients of 3/2, -1/2, 1/4, and -1/8 for u(x,0). For u(x,t), each coefficient is multiplied by a factor of e^(-2^2t), e^(-4^2t), and e^(-6^2t) corresponding to the respective frequencies of the sine waves, allowing the solution to accurately represent how the temperature distribution changes over time.

u(x,0) = 3/2 - 1/2cos(2x) + 1/4cos(4x) - 1/8cos(6x) and u(x,t) = 3/2 + (1/2)e^(-2^2t)cos(2x) + (1/4)e^(-4^2t)cos(4x) + (1/8)e^(-6^2t)cos(6x)

The heat equation is a partial differential equation that describes how a temperature distribution changes over time in a given space. It is primarily used to study the behavior of heat transfer in a variety of physical systems. The solution to the heat equation is a sine series, which is a series of sine waves with different frequencies and amplitudes. The sine series for u(x,0) includes the first four nonzero terms, each with its own coefficient. The coefficients are all reduced fractions with no trig functions or decimals. These coefficients are 3/2, -1/2, 1/4, and -1/8. The solution to the heat equation, u(x,t), is also a sine series, which includes the same coefficients as the sine series for u(x,0). However, each coefficient is multiplied by a factor of e^(-2^2t) for the 2x frequency sine wave, e^(-4^2t) for the 4x frequency sine wave, and e^(-6^2t) for the 6x frequency sine wave. This factor takes into account the time factor in the heat equation, allowing the solution to accurately represent how the temperature distribution changes over time.

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In the past, the output of a process had a mean of 2.050 and a standard deviation of 0.020 liters. If a current sample of output had these values {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, would that indicate that the process is still "in order" (as opposed to being "out of order")? What if the sample was {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}?

Answers

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

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Please someone help ASAP

Please someone help ASAP

Answers

Answer:6 1/2

Step-by-step explanation:1/2+3 1/2+2 1/2

Add all the halves (1/2)

1/2+1/2+1/2=1 1/2

Then add the 3 and 2 in front of the fraction.

3+2=5

So, 1 1/2+5=6 1/2

Answer:

6 1/2

Step-by-step explanation:

3+2=5

1/2+1/2=1

5+1=6

6+1/2=6 1/2

harvesting at the mathematical maximum sustainable yield (msy) can be risky for the long term sustainability of a fishery.
T/F

Answers

True, Harvesting at the mathematical maximum sustainable yield (MSY) can be risky for the long-term sustainability of a fishery.

The concept of MSY is based on the idea of maximizing the catch of fish without depleting the population. However, it assumes that fish populations can be managed as single-species entities and that they can be harvested at a constant rate.

In reality, ecosystems are complex and interconnected, and fish populations interact with other species and the environment in various ways. Harvesting at the MSY level may not consider the broader ecological impacts and can lead to unintended consequences.

While maximizing the catch in the short term may seem beneficial, it can result in overfishing and the depletion of fish stocks over time.

This can disrupt the balance of the ecosystem, impact other species that rely on the fish population, and threaten the long-term sustainability of the fishery.

It is important to consider factors such as the reproductive capacity of fish, their life history traits, and the overall health of the ecosystem when setting sustainable fishing limits.

Sustainable fisheries management practices often involve adopting precautionary approaches that prioritize the conservation and responsible use of fishery resources to ensure their long-term viability.

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positive square root of 2

Answers

The sqrt of 2 is appr. 1.5

Bye :)
Hope this helps I think it’s For instance, if you want to find the square root of 2000, look in the middle column until you find the number that is closest to 2000. The number in the middle column that is closest to 2000 is 2,025. Please correct me if need I’m just trying to help
positive square root of 2

Binding constraints have
surplus resources.
zero slack.
negative slack
positive slack

Answers

Binding constraints directly influence the optimal solution in a linear Programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution.

binding constraints and positive slack in the context of linear programming. In a linear programming problem, we aim to find the optimal solution for an objective function, given a set of constraints. The terms "binding constraints" and "positive slack" are related to these constraints.

1. Binding constraints: These are constraints that directly impact the optimal solution of the problem. In other words, they "bind" the feasible region (the area where all the constraints are satisfied) and affect the maximum or minimum value of the objective function. Binding constraints are active constraints, as they influence the final solution.

2. Positive slack: Slack is the difference between the left-hand side and right-hand side of a constraint when the constraint is satisfied. If this difference is positive, it means that there is some "extra" or "unused" resource in that constraint. Positive slack indicates that the constraint is non-binding, meaning it does not directly impact the optimal solution. It shows that there is some room for the constraint to be further tightened without affecting the final outcome.

In summary, binding constraints directly influence the optimal solution in a linear programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution. Knowing the difference between these terms can help you better understand and analyze linear programming problems.

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A company is offering a bank account. The value, in dollars, of the account is represented by the function A(t) = 50,000(1.02)t, where t represents the number of years since the account was first opened. Determine the average rate of change of the account value from t = 0 to t = 5. Express your answer to the nearest cent. (2 points)

please help ill give brainilst

Answers

It displays the typical change in the function per unit throughout that time period.

What is the average rate of change?

To determine the average rate of change, divide the change in y-values by the change in x-values.

Finding the average rate of change is very useful when studying changes in measurable metrics like average speed or average velocity.

In general, rate-of-change problems can be approached using the formula R = D/T, or rate of change equals the distance traveled divided by the time required to do so.

It displays the typical change in the function per unit throughout that time period.

It is produced using the slope of the line connecting the ends of the interval on the function's graph.

Therefore, it displays the typical change in the function per unit throughout that time period.

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Determine the value of”k” when the lines y=k/3x+2 and y=1/4x+2 are perpendicular.

Answers

Answer:

k = -12

Step-by-step explanation:

When lines are perpendicular, their slopes are the opposite reciprocal of each other.

The opposite reciprocal of \(\frac{1}{4}\) is -4

\(\frac{k}{3}=-4\)

k = -12

One thumbtack weighs 0.25 ounces. Once ounce is approximately equals to 28 grams. Which of the following is closet to the weight of one thumbtack in grams?

Answers

Answer:7

Step-by-step explanation:

can you please help me with this question​

can you please help me with this question

Answers

Answer:

your answer will be 1

Step-by-step explanation:

\(Tan (-135)\\\\=-Tan 135\\\\-Tan(90+45)\\\\-(-co+45)\\\\+co+45\\\\=1\)

hope it helps

Answer:

The exact value of tan(-315) is 1.

Find the total surface area of this triangular prism.
10cm
6 cm
4cm
8 cm

Find the total surface area of this triangular prism. 10cm 6 cm 4cm 8 cm

Answers

Method:

Front: 6x8 = 48/2 = 24

Back: Also 24

Base: 8x4 = 32

Left: 6x4=24

Add your answers:

24 + 24 + 24 + 32 + 40

Answer:

TSA is 144 cm²

Mortgage companies usually charge interest semi-annually. What would be the effective rate of interest on a mortgage at 8.15 percent compounded semi-annually? O a. 8.23 percent O b. 8.32 percent O c. 8.46 percent O d. 8.40 percent If you want to save $1,000,000 for retirement with $200 monthly deposits (end-of-month) at 6 percent interest compounded monthly, how long will it take? O a. 54.4 years O b. 55.9 years O c. 52.8 years O d. 57.2 years

Answers

a) The effective rate of interest on a mortgage at 8.15 percent compounded semi-annually is 8.23 percent.

b) It will take approximately 54.4 years to save $1,000,000 for retirement with $200 monthly deposits at 6 percent interest compounded monthly.

a) To find the effective rate of interest, we use the formula: Effective Rate = (1 + (Nominal Rate / Number of Compounding Periods))^Number of Compounding Periods - 1.

For a mortgage at 8.15 percent compounded semi-annually, the nominal rate is 8.15 percent and the number of compounding periods is 2 per year.

Plugging these values into the formula, we get Effective Rate = (1 + (0.0815 / 2))^2 - 1 ≈ 0.0823, or 8.23 percent. Therefore, the effective rate of interest on the mortgage is 8.23 percent.

b) To determine how long it will take to save $1,000,000 for retirement with $200 monthly deposits at 6 percent interest compounded monthly, we can use the formula for the future value of an ordinary annuity: FV = P * ((1 + r)^n - 1) / r, where FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of periods.

Rearranging the formula to solve for n, we have n = log(FV * r / P + 1) / log(1 + r). Plugging in the values $1,000,000 for FV, $200 for P, and 6 percent divided by 12 for r, we get n = log(1,000,000 * (0.06/12) / 200 + 1) / log(1 + (0.06/12)) ≈ 54.4 years.

Therefore, it will take approximately 54.4 years to save $1,000,000 for retirement under these conditions.

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After the british conquest of bengal, calcutta grew from a small village to a big city. find out about the culture, architecture and the life of europeans and indians of the city during the colonial period.

Answers

After the British conquest of Bengal, Calcutta (now Kolkata) experienced significant growth, transforming from a small village to a bustling city.

The colonial period brought about notable changes in the city's culture, architecture, and the lives of both Europeans and Indians. During the colonial period in Calcutta, the city became a vibrant center of British influence in India. European culture, customs, and architectural styles left a lasting impact on the cityscape. British architectural elements, such as neoclassical facades, grand buildings, and wide boulevards, started to dominate the urban landscape. Calcutta became known for its grand colonial buildings, including the Victoria Memorial, St. Paul's Cathedral, and the Raj Bhavan.

The colonial presence in Calcutta led to a blending of cultures, as British and Indian traditions intertwined. European social norms and lifestyles became prominent among the elite class, with clubs, balls, and social gatherings being part of the European social fabric. Meanwhile, Indian culture continued to thrive in the city, with festivals, music, art, and literature playing a vital role in the lives of the Indian population. The city became a melting pot of diverse cultures, languages, and traditions.

However, it is important to note that the colonial period also brought about significant disparities and challenges for the Indian population. British policies and administration often favored the interests of the colonial rulers, leading to economic exploitation and social inequality. The indigenous population faced restrictions and limitations in various aspects of life, including access to education, employment opportunities, and political representation. Nevertheless, the colonial period in Calcutta shaped the city's identity and laid the groundwork for its development as a cultural, intellectual, and commercial hub in India.

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Factor 24s + 8t.
Write your answer as a product with a whole number greater than 1.

answer = 8(3s + t)

Answers

Answer:

8(3s+t)

Step-by-step explanation:

Because the greatest common factor of 24s and 8t is 8, then factoring out 8 from the expression gives us 8(3s+t).

Answer:

8(3s + t)

Step-by-step explanation:

=> 24s + 8t

=> 8 × 3s + 8 × 1t

=> 8(3s + 1t)

=> 8(3s + t)

7. a) List three pairs of fractions that have a sum of 3\5.

Answers

The three pairs of fraction whose sum is 3/5 are

1/5 + 2/5-2/5+1-6/5+9/5

We have to find pairs of fractions that have a sum of 3/5.

First pair:

1/5 + 2/5

= 3/5

Second pair:

= -2/5 + 1

= -2/5+ 5/5

= 3/5

Third pair:

= -6/5 + 9/5

= 3/5

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I need help ASAP please

I need help ASAP please

Answers

Answer:

  d.  -21 +(-62)

Step-by-step explanation:

The additive inverse of 62 is -62. Subtracting 62 is the same as adding its additive inverse. This is expressed in the last answer choice:

  -21 -62 = -21 +(-62)

_____

Whenever you're looking for equivalent numerical expressions, your calculator can assist. Find the value of the given expression, then choose the answer that has the same value.

The mass of a sample of the chemical element einsteinium-253253253 after it is initially measured is represented by the following table:
Time (weeks) Mass (grams)
000 400400400
333 201201201
666 989898
999 505050
121212 242424
151515 121212
Which model for M(t)M(t)M, left parenthesis, t, right parenthesis, the mass of the sample ttt weeks after it's initially measured, best fits the data?

Answers

Answer:

-23.99048X + 310.7619

Step-by-step explanation:

Given the following :

Time(weeks) - - - mass(grams)

0 - - - - - - - - - - - - - 400

3 - - - - - - - - - - - - - 201

6 - - - - - - - - - - - - - 98

9 - - - - - - - - - - - - - 50

12 - - - - - - - - - - - - 24

15 - - - - - - - - - - - - 12

Using the regression calculator, the model for Mass(time), which best fits the data is represented by the equation:

ŷ = -23.99048X + 310.7619

Where, - 23.99044 is the slope or gradient

X is the time(t)

y is the Mass

310.7619 is the intercept. Point where the graph crosses the y-axis.

Answer:

M^t=400•(0.79)^t

4 Find the total surface area of the prism.
5 in.
11 in.
-
-
-
-
-
6 in.
1
1
1
-

Answers

Answer:

121

Step-by-step explanation:

=5+6=11

=11(11)

=121

The area of a square is 49 cm². Find the perimeter of the square.​

Answers

Answer:

28cm

Step-by-step explanation:

7cm is each side, 4 sides so 7*4 which is 28cm.

a chili recipe calls for ground beef, beans, green pepper, onion, chili powder, crushed tomatoes, salt, and pepper. you have lost the directions about the order in which to add the ingredients, so you decide to add them in a random order. what is the probability that the first ingredient you add is either ground beef or onion?

Answers

The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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A small bus charges $3.50 per person for a ride from the train station to a concert. The bus will run if at least 3 people take it, and it cannot fit more than 10 people.
Function B gives the amount of money that the bus operator earns when n people ride the bus.
Which numbers make sense as inputs and outputs for this function?
i. 3-10
ii. 4-11
iii. 2-10
iv. 10-15

Answers

Answer:

the minimum amount of money that the operator earns when n people ride the bus is $10.5 and the maximum amount of money that the operator earns when n people ride the bus is $35.

Amount = 3.5n

2/5 - 1/3 (simplified if possible)

Answers

Answer:

1/15

Step-by-step explanation:

(1).   Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD (Least Common Denominator).

So lets do step one now, the LCD is 15 so we have to make both denominators agree on one number, so 15 is the number both denominators agree on.

Solve:

2*3/5*3 - 1*5/3*5

(2). Complete the multiplication.

6/15 - 5/15

(3). The two fractions now have like denominators so you can subtract the numerators.

6 - 5 / 15 - 15 = 1/15

*Pro tip:

The denominator doesn't change and stays the same. So you don't

subtract the 15 by 15.

(4). Then you'll get the answer and then if you can simplify then simplify.

The Answer is 1/15, and cannot be simplified.

So the answer is 1/15

Hope this helps!

5.25 divided by 3
Thank You.

Answers

Answer:

1.75

Step-by-step explanation:

1.75 :) you can check your answer by multiplying by 3!

Brainliest would be appreciated

birdseed costs $0.68 a pound and sunflower seeds cost $0.98 a pound. Angela Leinenbach's pet store wishes to make a 40 pound mixture of birdseed and sunflower seeds that sells for $0.92 per pound. How many pounds of each type of seed should she use?

Answers

Okay, let's break this down step-by-step:

* Birdseed costs $0.68 per pound

* Sunflower seeds cost $0.98 per pound

* The 40 pound mixture will sell for $0.92 per pound

* Let's call the number of pounds of birdseed x

* Then the number of pounds of sunflower seeds is 40 - x

* $0.92 * 40 = $36

* $0.68x + $0.98(40-x) = $36

* $0.68x + $39.20 - $0.98x = $36

* $-0.3x = $-3.20

* x = 10

* So 10 pounds of birdseed and 40 - 10 = 30 pounds of sunflower seeds.

In summary:

10 lbs of birdseed

30 lbs of sunflower seeds

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solve for x: (1/3)(x+3)=-(x-1)

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solve for x: (1/3)(x+3)=-(x-1)
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