is it the second one?

Irene has 49 Books, and Alejandro has 24 books.

Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:

1. Irene has twice as many books as Alejandro plus 1:

  x = 2y + 1

2. The total number of books between Irene and Alejandro is 73:

  x + y = 73

We can now solve this system of equations to find the values of x and y.

Substituting the value of x from equation (1) into equation (2), we have:

(2y + 1) + y = 73

3y + 1 = 73

3y = 72

y = 24

Now, we can substitute the value of y into equation (1) to find x:

x = 2(24) + 1

x = 49

Therefore, Irene has 49 books, and Alejandro has 24 books.

To verify our solution, we can check if the sum of their books equals 73:

49 + 24 = 7

So, our solution is correct.

In conclusion, Irene has 49 books, and Alejandro has 24 books.

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With a pound of flour costing $12 and considering that there are 16 ounces in a pound, the cost per ounce is $0.75. Thus, for $3.30, you can purchase 4.4 ounces of flour.

To find out how many ounces of flour can be purchased for $3.30, we need to determine the cost of one ounce of flour.

Given that a pound of flour costs $12, we know that there are 16 ounces in a pound (since there are 16 ounces in 1 pound). So, the cost of one ounce of flour can be calculated as:

Cost of one ounce of flour = Cost of one pound of flour / Number of ounces in one pound

Cost of one ounce of flour = $12 / 16 ounces

Cost of one ounce of flour = $0.75

Therefore, the cost of one ounce of flour is $0.75.

To determine how many ounces of flour can be purchased for $3.30, we divide the total amount of money by the cost of one ounce of flour:

Number of ounces of flour = Total money / Cost of one ounce of flour

Number of ounces of flour = $3.30 / $0.75

Number of ounces of flour ≈ 4.4 ounce

Therefore, for $3.30, approximately 4.4 ounces of flour can be purchased.

In summary, with the given cost of $12 for a pound of flour, and knowing that there are 16 ounces in a pound, we find that one ounce of flour costs $0.75. Thus, for $3.30, approximately 4.4 ounces of flour can be purchased.

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The missing dimensions of the given expressions are as follows:

1. 2x + 24 (81) → 24x2. (82) → 16 3. 2x (83) → 83x4. (84) → 42x

Given expressions are:1. 2x + 24 (81)2. (82) 3. 2x (83)4. (84) Let’s find the missing dimensions of the given expressions one by one:

1. 2x + 24 (81)We know that perimeter = 2 × length + 2 × breadth.

The given expression represents the perimeter of the rectangle. Here, the breadth of the rectangle is 24.

Therefore, length of the rectangle = 2x/2 = x.

So, the missing dimension is x. Dimension of the rectangle = x × 24 Expression of the rectangle as a product = 24x 2. (82)

The given expression represents the area of the rectangle.

Therefore, the two dimensions of the rectangle are (8) and (2). Dimension of the rectangle = 8 × 2 Expression of the rectangle as a product = 16 3. 2x (83)

The given expression represents the area of the rectangle.

Therefore, the two dimensions of the rectangle are (2) and (83/2). Dimension of the rectangle = 2 × 83/2 Expression of the rectangle as a product = 83x4. (84)

We know that perimeter = 2 × length + 2 × breadth The given expression represents the perimeter of the rectangle.

Here, the length of the rectangle is 84/2 = 42.

Therefore, breadth of the rectangle = 2x/2 = x.

So, the missing dimension is x.

Dimension of the rectangle = 42 × x

Expression of the rectangle as a product = 42x

Hence, the missing dimensions of the given expressions are as follows:

1. 2x + 24 (81) → 24x2. (82) → 16 3. 2x (83) → 83x4. (84) → 42x

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a. The premium for this coverage will depend on the  individual's age, location, driving record, and the insurance company's rates.

b.   It will cost higher because the insurance company provides more coverage in the event of an accident.

c.  The difference in cost between the two coverage amounts depends on factors such as the insurance provider's rates and the person's specific circumstances.

a. Insurance coverage of 50/100/10:

The coverage limits 50/100/10 is a representation of  the minimum liability coverage required by state laws.

$50,000 = coverage for bodily injury liability per person.

$100,000  = coverage for bodily injury liability per accident.

$10,000 = coverage for property damage liability per accident.

b. Insurance coverage of 100/300/25:

The coverage limits 100/300/25 represent higher liability coverage limits:

$100,000  = coverage for bodily injury liability per person.

$300,000  = coverage for bodily injury liability per accident.

$25,000  = coverage for property damage liability per accident.

c. Difference in cost:

The difference in cost between the two coverage levels is influenced by a number of variables, including the insurance company's rates and the individual's unique situation.

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The hypothesis is If a person is at least 16 years.

The conclusion is Then the person can drive a car

The Converse is If a person can drive a car, then the person is at least 16 years.

A hypothesis is a proposed explanation or prediction that can be tested and investigated to determine its validity. A hypothesis serves as a starting point for an investigation. Hypotheses are often formulated in an "if-then" format.

The conclusion is the outcome or summary reached after conducting a study or investigation. It aims to answer the research question or objective and provide a clear understanding of the implications and significance of the study.

Converse

Converse is the opposite of a statement. It is used in the context of hypotheses and research question

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The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.

The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.

In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:

4(-8 + 5) = (4 * -8) + (4 * 5)

This simplifies to:

4(-8 + 5) = -32 + 20

Finally, we can perform the addition:

-32 + 20 = -12

Therefore, the equation demonstrates the application of the Distributive Property.

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Answer:

B and F

Step-by-step explanation:

[Note: Work for this problem is shown in the image attached to this answer]

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The y-intercept can be calculated using the formula: b = (Σy - m(Σx))/n.

Based on the given data points, we can create a scatterplot and draw a line of best fit to analyze the relationship between the input and output variables.

To create the scatterplot, we plot the input values (2, 3, 4, 5, 7, 9) on the x-axis and the corresponding output values (3, 3, 5, 4, 7, 9) on the y-axis. Each point represents a data pair.

Next, we draw a line of best fit that represents the general trend of the data. The line should pass through the middle of the data points, minimizing the distance between the line and the points. We can determine the equation of the line using linear regression.

After drawing the line of best fit, we can determine the equation by finding the slope and y-intercept. The equation of a line is typically represented as y = mx + b, where m is the slope and b is the y-intercept.

To calculate the slope, we can use the formula: m = (Σ(xy) - (Σx)(Σy)/n) / (Σ(x^2) - (Σx)^2/n), where Σ denotes summation and n is the number of data points.

The y-intercept can be calculated using the formula: b = (Σy - m(Σx))/n.

Substituting the values from the given data into the formulas, we can determine the equation of the line of best fit.

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The side b is approximately 80.02 feet in length. In a right triangle ABC with angle C equal to 90°, if angle B is 37.56° and side a is 49.94 feet, we can solve for side b using the trigonometric function sine.

First, we can label the triangle as follows:

Side a is opposite angle A,

Side b is opposite angle B,

Side c is the hypotenuse.

Let's label the triangle with the given and asked for information. Angle C is the right angle, angle B is 37.56°, side a is 49.94 feet, and side b is the side we are trying to find.

Using the sine function, we have:

sin(B) = opposite/hypotenuse

sin(37.56°) = a/b

Now we can substitute the known values:

sin(37.56°) = 49.94/b

To solve for b, we rearrange the equation:

b = 49.94 / sin(37.56°)

Using a calculator, we find:

b ≈ 80.02 feet.

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Yes, a polygon can have a central angle of 25 degrees.

A central angle is an angle formed by two radii (or line segments) extending from the center of a polygon to two consecutive vertices. The sum of the central angles in any polygon is always equal to 360 degrees.

Therefore, if we have a regular polygon with n sides, each central angle would measure 360 degrees divided by n. For example, a regular hexagon (a polygon with 6 sides) would have central angles of 360 degrees divided by 6, which is 60 degrees.

However, in the case of an irregular polygon, the central angles can have different measures. As long as the sum of all the central angles equals 360 degrees, it is possible for one or more central angles to measure 25 degrees.

Answer:

(a) 468 + 59 = 527

Step-by-step explanation:

Attached is the work for solving the addition problem using the compensation method.

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Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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Speed and distance are not independent variables.3. Height and weight: Height and weight are interrelated variables, with taller people tending to weigh more than shorter individuals.

Independence is a basic statistical concept that refers to the absence of a relationship between two variables. Two variables can be considered independent of each other if the occurrence of one does not affect the probability of the other occurring.

In contrast, dependent variables are those that have a cause-and-effect relationship. Changes in the independent variable cause changes in the dependent variable.

The following are some examples of situations with independent and not independent variables:

Independent variables1. Tossing a coin: The probability of obtaining a head or tail is 50% and is not affected by previous flips or any other factor. Therefore, this is an example of an independent event.2.

Rolling a dice: When rolling a dice, the chances of rolling any particular number are all equal, and the outcome of each roll is not influenced by the previous roll.

As a result, rolling a dice is an example of an independent event.3. Selecting a card from a deck: When selecting a card from a deck, the odds of picking a particular card are equal.

After selecting the card, it is not replaced in the deck, so the probability of selecting another card changes.Non-Independent variables1.

Studying for a test: The amount of time spent studying for a test is a dependent variable, as the more time spent studying, the higher the chances of obtaining a better grade on the test.2. Speed and distance: In general, the faster one drives, the farther one travels.

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Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Among the given word problems, the one that exemplifies a linear function is:

Kate rented a bicycle for $30 plus $1.50 per hour.

A linear function is a mathematical function that represents a straight line. It has a constant rate of change and can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Among the given word problems, the one that exemplifies a linear function is:

Kate rented a bicycle for $30 plus $1.50 per hour.

In this scenario, the cost of renting the bicycle is determined by a fixed fee of $30 plus an additional charge of $1.50 per hour. The relationship between the total cost and the number of hours can be represented by a linear equation, where the cost increases at a constant rate of $1.50 per hour.

The other two word problems do not represent linear functions. Pinocchio's nose growing by 20% each time he lies involves exponential growth, and the mean distance of the earth from the sun varying by 1.6 million miles represents a variable relationship, not a linear one.

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Step-by-step explanation:

11.16 days ok hope it helps

Among the given word problems, the one that exemplifies a linear function is: Kate rented a bicycle for $30 plus $1.50 per hour. Statement 1

In this scenario, the cost of renting the bicycle has a fixed component of $30 and an additional cost of $1.50 per hour. The cost is directly proportional to the number of hours the bicycle is rented.

As the number of hours increases, the cost increases linearly by $1.50 per hour. This relationship can be represented by a linear equation of the form y = mx + b, where y is the cost, x is the number of hours, m is the rate of increase ($1.50 per hour), and b is the fixed cost ($30). The equation for this situation would be y = 1.50x + 30, where x ≥ 0.

On the other hand, the other two word problems do not represent linear functions:

Pinocchio's nose grows about 20% of its size each time he lies. His nose was 2 inches long at the beginning.

This situation represents exponential growth since the nose grows by a fixed percentage (20%) of its current size, not by a fixed amount. The growth is not linear but rather compounding, where each increase is a factor of the previous size.

The mean distance of the Earth from the sun is 93 million miles. The distance varies by 1.6 million miles.

The variation in distance does not follow a linear pattern but rather represents a range or interval. The change in distance is not proportional to any other variable; it is simply a measure of the variation or spread in the data.

Statement 1 is correct.

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The function f(x) = 9/(4-x^2) does not have any removable or non-removable discontinuities. It is continuous for all real values of x except where x^2 = 4, which leads to undefined values of the function.

To determine the x-values at which the function f(x) = 9/(4-x^2) is not continuous, we need to look for any potential removable and non-removable discontinuities.

First, let's consider removable discontinuities. These occur when there are holes in the graph that can be filled in by redefining the function at that point. In this case, we need to check if there are any values of x for which the denominator (4-x^2) becomes zero.

For the function f(x) = 9/(4-x^2), the denominator becomes zero when x^2 = 4. Solving this equation, we find two potential values for x: x = 2 and x = -2.

To check if these values are removable discontinuities, we need to examine the behavior of the function near these points. However, it seems that there is a mistake in your initial statement. There are no removable discontinuities for the given function f(x) = 9/(4-x^2).

Moving on to non-removable discontinuities, these occur when the function has vertical asymptotes or jump discontinuities that cannot be filled in. In this case, we need to check if there are any values of x that make the denominator zero and cannot be canceled out.

Again, for the function f(x) = 9/(4-x^2), the denominator becomes zero when x^2 = 4. Solving this equation, we find the same two potential values for x: x = 2 and x = -2.

However, upon further inspection, we can see that these values are not non-removable discontinuities either. Plugging them back into the function, we have:

f(2) = 9/(4-2^2) = 9/0,

f(-2) = 9/(4-(-2)^2) = 9/0.

Both f(2) and f(-2) are undefined since division by zero is not allowed. Therefore, x = 2 and x = -2 are not non-removable discontinuities either.

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In the given diagram, Triangle A and Triangle B are similar triangles.

From the question, we are to determine which of the given triangles are similar

For two triangles to be considered similar triangles, they must satisfy the similarity criteria.

The triangle similarity criteria include:

In the given diagram, Triangle A and Triangle B satisfy the above criteria.

Hence,

Triangle A and Triangle B are similar.

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a. Converse: If the interior angles of a shape do not sum to 180°, then the shape is not a triangle. The converse is true. If the interior angles do not add up to 180°, it implies that the shape is not a triangle.

b. Converse: If alternate interior angles of two lines are equal, then the lines are parallel. The converse is true. If alternate interior angles are equal, it implies that the lines are parallel.

c. Converse: If I have a Rhombus, then I also have a Square. The converse is not true. A rhombus is a parallelogram with equal side lengths, but it does not necessarily have right angles like a square.

d. Converse: If I have a shape with four right angles, then I have a rectangle. The converse is not true. A shape with four right angles could be a square, but it could also be a parallelogram or a rhombus.

Answer:

a. Converse: If the interior angles of a shape sum to 180°, then the shape is a triangle.

This is not always true.

b. Converse: If alternate interior angles are equal, then the two lines are parallel.

This is true. This is because alternate interior angles are congruent when two lines are parallel.

c. Converse: If I have a Rhombus, then I also have a Square.

This is not always true.

d. Converse: If I have a shape with four right angles, then I have a rectangle.

This is true. This is because a rectangle is a shape with four right angles.

All the methods are complete and have distributed all the 12 buyers.

The question is about determining the number of buyers that should be assigned to each of the 5 stores. There are 12 buyers to assign. Therefore, each store must get at least one buyer.

In solving the problem, we need to find the standard divisor, which is the total number of buyers divided by the total number of employees of the five stores (12/36). This gives us the standard divisor of 0.3333. We will use Hamilton's, Jefferson's, Webster's and Hill-Huntington's Method to calculate the distribution of buyers per store using the standard divisor.

Hamilton's Method According to Hamilton's Method, each store is assigned buyers from highest to lowest until all the buyers are assigned. Any excess buyers should be assigned to the store with the highest allocation factor.

The allocation factors for the stores are as follows:Store Allocation Factor Buyers Allocation Total AllocationHamilton's0.500.331.331.00Jefferson's0.2860.3330.99Webster's0.1670.3330.83Adams'0.0830.3330.50Madison's0.0560.0030.36

The table shows that Hamilton's method allocates 3 buyers to Hamilton's store, 3 buyers to Jefferson's store, 2 buyers to Webster's store, 1 buyer to Adam's store, and 1 buyer to Madison's store. Hamilton's method distributes all 12 buyers.Jefferson's Method

According to Jefferson's method, each store is assigned buyers using the allocation factor rounded to the nearest integer. The unassigned buyers are distributed using Hamilton's method.The allocation factors for the stores are as follows:Store Allocation Factor Allocation Rounded Buyers Allocation Total AllocationHamilton's0.5001.002.003.00Jefferson's0.2860.003.002.99Webster's0.1670.002.001.99Adams'0.0830.001.001.00Madison's0.0560.001.000.50

The table shows that Jefferson's method allocates 3 buyers to Hamilton's store, 3 buyers to Jefferson's store, 2 buyers to Webster's store, 1 buyer to Adam's store, and 1 buyer to Madison's store. Jefferson's method also distributes all 12 buyers.Webster's MethodAccording to Webster's method, each store is assigned buyers using the allocation factor rounded down to the nearest integer.

The unassigned buyers are distributed using Hamilton's method.The allocation factors for the stores are as follows:Store Allocation Factor Allocation Rounded Buyers Allocation Total AllocationHamilton's0.50002.002.332.33Jefferson's0.28601.002.332.33Webster's0.16700.001.001.00Adams'0.08300.000.330.33Madison's0.05600.000.330.33

The table shows that Webster's method allocates 2 buyers to Hamilton's store, 2 buyers to Jefferson's store, 1 buyer to Webster's store, 0 buyers to Adam's store, and 0 buyers to Madison's store. Webster's method distributes a total of 5 buyers.

The remaining 7 buyers are then distributed using Hamilton's method.Hill-Huntington's MethodHill-Huntington's method allocates the remaining fraction by assigning the buyer to the store with the largest decimal portion.The allocation factors for the stores are as follows:Store Allocation Factor Allocation Rounded Buyers Allocation Total AllocationHamilton's0.50002.332.333.00Jefferson's0.28602.332.331.00Webster's0.16700.331.001.00Adams'0.08300.000.330.33Madison's0.05600.000.330.33

The table shows that Hill-Huntington's method allocates 2 buyers to Hamilton's store, 2 buyers to Jefferson's store, 1 buyer to Webster's store, 0 buyers to Adam's store, and 0 buyers to Madison's store. Hill-Huntington's method distributes a total of 5 buyers.

The remaining 7 buyers are then distributed using Hamilton's method.All the methods are complete and have distributed all the 12 buyers.

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The calculated value of the function g(x) when x = 5 is -2

From the question, we have the following parameters that can be used in our computation:

The graph of the function g(x)

The value of g(5) is the value of the function at x = 5

When x = 2 is traced on the graph, we have

y = -2 when x = 5

This means that

g(5) = -2

Hence, the value of the function is -2

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Total Liabilities and Stockholders' Equity: $71,750

To complete the income statement and balance sheet based on the provided data, let's use the given figures:

Income Statement:

Total revenues: $308,000

Total expenses (excluding income taxes): $185,000

Income tax expense: $33,800

To calculate the net income, we subtract the total expenses and income tax expense from the total revenues:

Net income = Total revenues - Total expenses - Income tax expense

Net income = $308,000 - $185,000 - $33,800

Net income = $89,200

The completed income statement is as follows:

Income Statement:

Total Revenues: $308,000

Total Expenses: $185,000

Income Tax Expense: $33,800

Net Income: $89,200

Balance Sheet:

Cash balance, January 31: $66,250

Receivables from customers (all considered collectible): $33,800

Merchandise inventory (by inventory count at cost): $94,100

Payables to suppliers for merchandise purchased from them (will be paid during February): $26,550

Common stock: $45,200

The balance sheet provides a snapshot of the company's financial position at a specific date, in this case, January 31. Therefore, the completed balance sheet is as follows:

Balance Sheet:

Assets:

Cash: $66,250

Accounts Receivable: $33,800

Merchandise Inventory: $94,100

Total Assets: $194,150

Liabilities and Stockholders' Equity:

Accounts Payable: $26,550

Common Stock: $45,200

Total Liabilities and Stockholders' Equity: $71,750

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Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

Answer: = 8x - 5

Step-by-step explanation:

f(x) = 4x² - 5x

Find:

lim as Δx⇒0  [f(x + Δx) - f(x)] /Δx        

This is the same as finding the derivative.   For f(x + Δx) means substitute x + Δx  into the function everytime you see an x.

Solution:

lim as Δx⇒0  [f(x + Δx) - f(x)] /Δx

lim as Δx⇒0  [4(x + Δx)² - 5(x + Δx) - (4x² - 5x)] /Δx             >Simplify

lim as Δx⇒0  [4(x²+2x(Δx) +(Δx)²) - 5x- 5Δx - 4x²+ 5x] /Δx

lim as Δx⇒0  [4x²+8x(Δx) +4(Δx)² - 5x- 5Δx - 4x²+ 5x] /Δx

lim as Δx⇒0  [8x(Δx) +4(Δx)²- 5Δx] /Δx            >Divide by Δx

lim as Δx⇒0  8x +4(Δx)- 5                >set Δx to 0 because it is approaches

= 8x - 5

You can check this using the power rule and take derivative of f(x) and it checks out.

Answer: -2

Step-by-step explanation:

The slope of the line perpendicular to another slope is the opposite sign and flipped(reciprocal)

The slope of the line = 1/2

So the perpendicular slope = -2

There are 200 consumers who do not buy any brand of tea and there are 400 consumers who like only one brand of tea.

To find the number of consumers who do not buy any brand of tea, we need to subtract the number of consumers who buy either the own nation's tea or the international tea or both from the total number of consumers.

a) Number of consumers who do not buy any brand of tea = Total number of consumers - (Number of consumers buying own nation's tea + Number of consumers buying international tea - Number of consumers buying both brands)

= 600 - (300 + 250 - 150)

= 600 - 400

= 200

Therefore, there are 200 consumers who do not buy any brand of tea.

b) To find the number of consumers who like only one brand of tea, we need to subtract the number of consumers buying both brands of tea from the sum of the number of consumers buying each brand individually.

Number of consumers who like only one brand of tea = Number of consumers buying own nation's tea + Number of consumers buying international tea - Number of consumers buying both brands

= 300 + 250 - 150

= 400

Therefore, there are 400 consumers who like only one brand of tea.

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IN  a case whereby population of a town increased from 3800 in 2006 to 6050 in 2010.  Relative percentage is 59.2 and absolute difference is 2250

Difference in population=6050 - 3800

=  2250

2250 is what percent of 3,800?

2250 = X* 3,800

X =  2250 /  3,800

X = 0.59 or 59%

2250 = X*  6050

X =  2250 /  6050

X =  0.37 or 37%

Relative percentage=

 [tex]\frac{6050 - 3800 }{3800 } * 100\\\\=59.21[/tex]

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Answer:

no 1st answer is 1xy bro thanks for giving point is this answer is wrong can I not explain because I am fail

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Jesus's

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Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's