Purchased a large quantity of office supplies for $4000. Paid $1000
with the remainsee due in one month. Show the entries required for
the purchase and payment next month.

Answer:

An=144(3/4)1-n

Step-by-step explanation:

hope it helps. Mark as brainliest

The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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Jennie has 20 points.

Explanation:

to Ada's points is 4 to 7. If Ada has 15 more points than Jennie, how many points does Jennie have?

To solve this problem, we can use proportions. We know that the ratio of Jennie's points to Ada's points is 4 to 7, so we can set up the following proportion:

4/7 = Jennie's points / Ada's points

We also know that Ada has 15 more points than Jennie, so we can add 15 to both sides of the proportion to represent this:

4/7 = Jennie's points / (Jennie's points + 15)

Next, we can cross-multiply to solve for Jennie's points:

4 * (Jennie's points + 15) = 7 * Jennie's points

4 * Jennie's points + 60 = 7 * Jennie's points

We can then subtract 4 * Jennie's points from both sides to isolate the variable:

60 = 3 * Jennie's points

Finally, we can divide both sides by 3 to find the value of Jennie's points:

Jennie's points = 60/3 = 20

Thus, Jennie has 20 points.

Answer:

26

Step-by-step explanation:

\(5^{2}\) = 5 · 5 = 25

then add 1

Answer:

26

Step-by-step explanation:

(5 x 5) + 1

25 + 1

26

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There are 64 blue marbles in the bag. To find the number of blue marbles, we need to subtract the number of red and yellow marbles from the total number of marbles in the bag.

Given:

Total number of marbles = 240

Fraction of red marbles = 2/5

Fraction of yellow marbles = 1/3

Number of red marbles = (2/5) * 240 = 96

Number of yellow marbles = (1/3) * 240 = 80

To find the number of blue marbles, we subtract the sum of red and yellow marbles from the total number of marbles:

Number of blue marbles = Total number of marbles - (Number of red marbles + Number of yellow marbles)

Number of blue marbles = 240 - (96 + 80)

Number of blue marbles = 240 - 176

Number of blue marbles = 64

Therefore, there are 64 blue marbles in the bag.

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Answer:

Part A: \(l = 60\), Part B: \(b = \frac{9\sqrt{2}}{2}\)

Step-by-step explanation:

The Pythagorean Theorem determines the length of the hypotenuse of right triangle (\(r\)) by means of following formula:

\(r^{2} = x^{2}+y^{2}\) (1)

Where \(x\), \(y\) are respective lengths of each leg.

Now we proceed to solve on each triangle:

Part A: (\(r = l\), \(x = y = 30\sqrt{2}\))

\(l^{2} = (30\sqrt{2})^{2}+(30\sqrt{2})^{2}\)

\(l^{2} = 3600\)

\(l = 60\)

Part B: (\(r = 9\), \(x = b\), \(y = \frac{9\sqrt{2}}{2}\))

\(9^{2} = b^{2}+\left(\frac{9\sqrt{2}}{2} \right)^{2}\)

\(81 = b^{2}+\frac{81}{2}\)

\(b^{2} = \frac{81}{2}\)

\(b = \frac{9\sqrt{2}}{2}\)

The probability that a student chosen randomly from the class passes the test or completed the homework would be = 20/27.

To find the probability that a student chosen randomly from the class passed the test or complete the homework the following is carried out;

Let us take,

Event A ⇒ a student chosen passed the test

Event B ⇒ a student chosen complete the homework

We need to find out P (A or B) which is given by the formula,

⇒ P (A or B) = P(A) + P(B) - P(A and B)

From the given table;

The total number of students in the class = 27 students.

The no.of students passed the test ⇒ 15+3 = 18 students.

P(A) = No.of students passed / Total students in the class

P(A) ⇒ 18 / 27

For the no.of students completed the homework ⇒ 15+2 = 17 students.

P(B) = No.of students completed the homework / Total students in the class

P(B) ⇒ 17 / 27

The no.of students who passes the test and completed the homework = 15 students.

P(A∪B) = No.of students both passes and completes the homework / Total

P(A∪B) ⇒ 15 / 27

Therefore,

P (A or B) = P(A) + P(B) - P(A∪B)

⇒ (18 / 27) + (17 / 27) - (15 / 27)

⇒ 20 / 27

∴ The P (A or B) = 20/27.

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Answer:

StartFraction 6 Over 10 EndFraction

Step-by-step explanation:

Give the following ratios :

2 / 5 = 6 /10 = 8 / 20 = 12 / 30

Which ratio is different from the other three?

Ratio 1 = 2 / 5

Ratio 2 = 6 / 10

Ratio 3 = 8 / 20

Ratio 4 = 12 / 30

Reducing all the ratios to their lowest term:

Ratio 1 = 2 / 5

Ratio 2 = 3 / 5

Ratio 3 = 2 / 5

Ratio 4 = 2 / 5

Hence, the ratio which is different from the other three is StartFraction 6 Over 10 End Fraction (6 / 10)

Answer:

StartFraction 6 Over 10 EndFraction

Step-by-step explanation:

Using the above graph, we can calculate that the segment has a length of 8 units.

The graph shows the segment and dimensions given at the end of the segment are -4 and 4.

Thus we can say that, the first half of the segment is having the length 4 units and the other half also has the same length of 4 units.

By, adding both these lengths we get,

4 + 4 = 8 units

Therefore, the length of the segment is 8 units which is computed using the given graph.

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The mean and standard deviation is 16 and 12.6.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

\(\rm \sigma = \sqrt{\dfrac{\Sigma(x_i - \mu)^2}{N}}\\\\Where \\\sigma = Standard\ deviation\\ \mu = mean\ population\\x_i = each\ value\ of\ population\\N = size\ of \ the \ population\)

Mean is simply defined as the average of the given set of numbers. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

\(\rm Mean = \dfrac{sum\ of\ the\ observation}{number\ of\ observation}\)

Given

A homeowner has 5 zucchini plants in her garden.

Plant 1, 2, 3, 4, 5 and their Yield 15, 12, 17, 14, 22.

The mean and standard deviation.

1.  Mean will be

\(\rm Mean = \dfrac{15+12+17+14+22}{5}\\\\Mean = \dfrac{80}{5}\\\\Mean = 16\)

2.  Standard deviation will be

\(\rm \sigma = \sqrt{\dfrac{\Sigma(x_i - \mu)^2}{N}}\\\\\sigma = \sqrt{\dfrac{63}{5}}\\\\\sigma = 12.6\)

The mean and standard deviation is 16 and 12.6.

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The probability that less than of the people in the sample of have high blood pressure is 0.5654.

High blood strain (high blood pressure) is a common situation wherein the lengthy-term force of the blood in opposition to your artery walls is high sufficient that it could sooner or later purpose fitness problems, inclusive of coronary heart disorder.

Blood stress is often a silent sickness. lamentably, high blood strain can show up without feeling any atypical signs and symptoms. moderate or extreme complications, tension, shortness of breath, nosebleeds, palpitations, or feeling of pulsations within the neck are a few signs of excessive blood pressure.

Blood strain readings above one hundred eighty a hundred and twenty mmHg are taken into consideration stroke-level, dangerously excessive, and require instantaneous medical attention.

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12 out of 20 are full.

Divide full by total cans and then multiply by 100:

12/20 = 0.6 x 100 = 60 %

Answer: 60% are full

There were 204 participants from the three schools

The given parameters are:

X = 12 + Y

X = Z - 18

Girls = Boys + 50

The ratios of the number of boys to girls in the schools are:

1 : 2

1 : 5

2 : 1

This means that:

So, we have:

Boys = 1/3X + 1/6Y + 2/3Z

Girls = 2/3X + 5/6Y + 1/3Z

Substitute the above equations in Girls = Boys + 50

2/3X + 5/6Y + 1/3Z = 1/3X + 1/6Y + 2/3Z + 50

Evaluate the like terms

1/3X + 2/3Y - 1/3Z = 50

Multiply through by 3

X + 2Y - Z = 150

So, we have:

X = 12 + Y

X = Z - 18

X + 2Y - Z = 150

Substitute X = 12 + Y in X = Z - 18 and X + 2Y - Z = 150

12 + Y = Z - 18 ⇒ Y - Z = 30

12 + Y + 2Y - Z = 150 ⇒ 3Y - Z = 138

Subtract Y - Z = 30 from the equation 3Y - Z = 138 to eliminate Z

2Y = 108

Divide by 2

Y = 54

Substitute Y = 54 in X = 12 + Y

X = 12 + 54

X = 66

Substitute X = 66 in X = Z - 18

66 = Z - 18

Solve for Z

Z = 66 + 18

Z = 84

So, the total number of participants from the 3 schools is

Total = X + Y + Z

This gives

Total = 66 + 54 + 84

Evaluate the sum

Total = 204

Hence, there were 204 participants from the three schools

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The loan was taken out for approximately 14.29 years. To determine the number of years the loan was taken out, we can use the formula for simple interest: Interest = Principal * Rate * Time

In this case, the interest paid is $5000, the principal (initial loan amount) is $700, and the interest rate is 6% or 0.06.

5000 = 700 * 0.06 * Time

To find Time (in years), we can rearrange the equation:

Time = 5000 / (700 * 0.06)

Time ≈ 14.29 years

Therefore, the loan was taken out for approximately 14.29 years.

To find the number of years the loan was taken out, we use the formula for simple interest:

Interest = Principal * Rate * Time.

We know that the interest paid is $5000, the principal is $700, and the interest rate is 6% or 0.06.

Plugging these values into the formula, we get 5000 = 700 * 0.06 * Time.

To find the time in years, we divide both sides of the equation by (700 * 0.06) to isolate Time.

Simplifying the equation, we get Time = 5000 / (700 * 0.06), which is approximately 14.29 years.

Therefore, the loan was taken out for approximately 14.29 years.

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Answer:

1/5

Step-by-step explanation:

Answer: c

Step-by-step explanation: Natasha paid 100$

The estimation done by Owen is wrong because he estimated the amount of sodium very low.

Estimation is a process or way to roughly calculate the answer or solution of a given problem or question, estimation gives an approximate solution for a question.

Given that, Owen decides to buy a 2-pack of almond butter. He notices that each jar in the pack has 84 servings, and each serving has 20 milligrams of sodium.

Since, there are 20 mg of sodium in 1 serving,

Therefore, in 84 serving = 84x20 = 1680 mg of sodium.

And, there are 2 packs, therefore total amount of sodium in 2 packs = 1680x2 = 3360 mg

We calculated the amount of sodium to be 3360 mg, which is larger than the estimation of Owen.

Hence, Owen's estimation for amount of sodium is wrong.

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The velocity of the boat when it reaches the buoy is approximately 17.32 m/s. This is found using the equation v² = u² + 2as, where u is the initial velocity, a is the acceleration, and s is the displacement.

To solve this problem, we can use the equations of motion. The initial velocity of the boat, u, is 30 m/s, the acceleration, a, is -3.0 m/s² (negative because the boat is slowing down), and the displacement, s, is 100 m. We need to find the final velocity, v, when the boat reaches the buoy.

We can use the equation: v² = u² + 2as

Substituting the given values, we have:

v² = (30 m/s)² + 2(-3.0 m/s²)(100 m)

v² = 900 m²/s² - 600 m²/s²

v² = 300 m²/s²

Taking the square root of both sides, we find:

v = √300 m/s

v ≈ 17.32 m/s

Therefore, the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

The problem provides the initial velocity, acceleration, and displacement of the boat. By applying the equation v² = u² + 2as, we can find the final velocity of the boat. This equation is derived from the kinematic equations of motion. The equation relates the initial velocity (u), final velocity (v), acceleration (a), and displacement (s) of an object moving with uniform acceleration.

In this case, the boat is decelerating with a constant acceleration of -3.0 m/s². By substituting the given values into the equation and solving for v, we find that the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

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Answer:

17,046.92 i think

Step-by-step explanation:

Answer:

Rhombus

Step-by-step explanation:

Answer:

1 plane either on the runway or waiting to take off

Step-by-step explanation:

We are given;

Frequency of take off = 12 planes per hour = 12/60 = 0.2 planes per minute

Waiting time on runway = 5 minutes 54 seconds = 5.9 minutes

Run time on runway = 24 seconds = 24/60 minutes = 0.4 minutes

To solve this question, we will use Little's law which is given by the formula;

System inventory = rate of flow × throughput time

Now, rate of flow is the same as Frequency of take off.

Thus, rate of flow = 0.2 planes per minute

Throughput time = Waiting time on runway + Run time on runway

Thus;

Throughput time = 5.9 minutes + 0.4 minutes

Throughput time = 6.3 minutes

Thus;

System inventory = 0.2 × 6.3 = 1.26 planes

Thus is approximately 1 plane.

To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.

To compare the two quantities, you need to divide the number of giraffes by the number of penguins.

30 giraffes / 6 penguins = 5

This means that there are 5 times as many giraffes as penguins at the zoo.

There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.

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Answer:

38 degrees

Step-by-step explanation:

this is an isosceles triangle, meaning that the base angles are congruent.

the total triangle is equal to 180

so the equation would be: x=180 - (71+71)

evaluate:

x=180-142

x=38 degrees

Hope this helps :)

Given the weight of the total content loaded is 9.2 kilograms at the farmer's market. The weight of the apples sold is 4.5 kilograms. We need to find the weight of the pears that the farmer sold.

We can do this by using the subtraction method. Subtract the weight of the apples from the total weight of the content loaded. That will give us the weight of the pears as follows: Weight of the pears = Total weight of content loaded - weight of apples Weight of the pears = 9.2 - 4.5Weight of the pears = 4.7Therefore, the farmer sold 4.7 kilograms of pears at the farmer's market.

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m<HIJ is 103°

Step-by-step explanation:

hik= 50 and kij = 53

50+53=103°

Value of the iterated integral is 64.

To make it clearer, I'll rewrite the integral using proper notation:

∫(from 0 to 2) ∫(from 0 to 2x) ∫(from 0 to y) 3xyz dz dy dx

To evaluate the iterated integral, follow these steps:

1. Evaluate the innermost integral with respect to z:

∫(from 0 to 2) ∫(from 0 to 2x) [(3xyz²)/2] (from 0 to y) dy dx

2. Plug in the limits of integration for z:

∫(from 0 to 2) ∫(from 0 to 2x) [(3xy³)/2 - 0] dy dx

3. Evaluate the next integral with respect to y:

∫(from 0 to 2) [(3x²y⁴)/8] (from 0 to 2x) dx

4. Plug in the limits of integration for y:

∫(from 0 to 2) [(3x²(2x)⁴)/8 - 0] dx

5. Simplify the expression:

∫(from 0 to 2) [(3x¹⁰)/8] dx

6. Evaluate the outermost integral with respect to x:

[(3x¹¹)/88] (from 0 to 2)

7. Plug in the limits of integration for x:

[(3(2)¹¹)/88 - (3(0)¹¹)/88]

8. Simplify the expression:

(3 * 2048) / 88 = 6144 / 88 = 64

So the value of the iterated integral is 64.

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The closure of b, denoted by b+, is the set of all elements that can be reached from b through one or more transitions in the set F. Starting with b, we see that the transition b+c is in F, which means we can add c to our set. Then, the transition c→{de} is also in F, so we can add d and e to our set. Therefore, the closure of b is b+ = {b, c, d, e}.

Given the set F = {a+b, b+c, c→de}, the closure of b refers to the smallest set that contains b and is closed under the operations in F. In this case, the closure of b would be {b, a+b, b+c}. This is because the set includes b and is closed under the addition operation with a and c, as specified in F.

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Social researchers treat gender identity, ethnicity, race, income, and education as independent variables because they are all significant subject factors.

What is an example of an independent variable?

It is an independent variable that doesn't alter as a result of the other variables you're attempting to assess. An independent variable could be something like a person's age.

                          Other elements (such as what they consume, how much they attend school, and how much television they watch) won't alter a person's age.

What distinguishes a variable from a dependent one?

The cause is the independent variable. The other factors in your study have no bearing on its value. Effect is the dependent variable.

                             Changes in the independent variable affect how much it is worth. Characteristics called variables can have various values.

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The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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