Can you use pascals triangle to expand the binomial (2x+3y)^15?

Answer:

12/20

Step-by-step explanation:

[tex]\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}[/tex]

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

[tex]\sf{\dfrac{3\times4}{5\times4}}[/tex]

[tex]\sf{\dfrac{12}{20}}[/tex]

Answer:

See below

Step-by-step explanation:

I'm assuming by your prompt you're looking to convert (3,-2) into polar coordinates and (2, 5pi/4) into rectangular coordinates (assuming θ is in radians and not degrees).

For converting rectangular to polar coordinates, recall [tex]r=\sqrt{x^2+y^2}[/tex] and [tex]\theta=\tan^{-1}(\frac{y}{x})[/tex], therefore, [tex]r=\sqrt{3^2+(-2)^2}=\sqrt{9+4}=\sqrt{13}[/tex] and [tex]\theta=\tan^{-1}(\frac{-2}{3})\approx-0.588[/tex], making [tex](r,\theta)=(\sqrt{13},0.588)[/tex]

For converting polar to rectangular coordinates, recall [tex](x,y)=(r\cos\theta,r\sin\theta)[/tex], therefore, [tex](2\cos(\frac{5\pi}{4}),2\sin(\frac{5\pi}{4}))\approx(-\sqrt{2},-\sqrt{2})[/tex].

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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To calculate the rate of change or slope between two points, we use the formula:

slope = (change in y) / (change in x)

In this case, the initial gas price in 2001 is $1.75, and twelve years later in 2013, the gas price is $4.35. So, the change in y (change in gas price) is 4.35 - 1.75 = $2.60. The change in x (change in years) is 2013 - 2001 = 12 years.

Now we can calculate the slope:

slope = (change in y) / (change in x) = 2.60 / 12 = 0.2167

Therefore, the rate of change or slope between the two points is approximately 0.2167, or 21.67%.

The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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57 packets will be wasted during the distribution process. It is essential to ensure efficient distribution to minimize wastage and provide adequate support to those affected by the flood.

In order to distribute the food packets equally among all the people in the buildings affected by the flood, we need to calculate the number of packets each person will receive and the amount that will be wasted.

Let's calculate the distribution for each group separately:

1. Group 1: 13 people with 419 packets

  Packets per person: 419 / 13 = 32 packets per person

  Packets wasted: 419 % 13 = 0 packets wasted

2. Group 2: 35 people with 1771 packets

  Packets per person: 1771 / 35 = 50 packets per person

  Packets wasted: 1771 % 35 = 6 packets wasted

3. Group 3: 16 people with 260 packets

  Packets per person: 260 / 16 = 16 packets per person

  Packets wasted: 260 % 16 = 4 packets wasted

4. Group 4: 100 people with 145 packets

  Packets per person: 145 / 100 = 1 packet per person

  Packets wasted: 145 % 100 = 45 packets wasted

5. Group 5: 20 people with 4982 packets

  Packets per person: 4982 / 20 = 249 packets per person

  Packets wasted: 4982 % 20 = 2 packets wasted

In summary, the distribution of food packets and the amount wasted in each group are as follows:

Group 1: 32 packets per person, 0 packets wasted

Group 2: 50 packets per person, 6 packets wasted

Group 3: 16 packets per person, 4 packets wasted

Group 4: 1 packet per person, 45 packets wasted

Group 5: 249 packets per person, 2 packets wasted

Overall, 57 packets will be wasted during the distribution process. It is essential to ensure efficient distribution to minimize wastage and provide adequate support to those affected by the flood.

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The most appropriate viewing window for determining the domain and range of the function f(x) = (x^2 - 81)/(x^2 - 11x + 18) would be:

Xmin: -10, Xmax: 10

Ymin: -10, Ymax: 10

This window allows you to see a wide range of x-values and y-values, giving you a comprehensive view of the graph and helping you determine the domain and range of the function accurately.

The round trip distance in miles from city 1 to city 3 is given as follows:

30 miles.

The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.

Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.

For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:

2 x 15 = 30 miles.

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Answer:

$31.50

Step-by-step explanation:

To calculate the new cost of the jeans after a discount, we can use the formula:

New cost = Original cost - (Discount percentage * Original cost)

In this case, the original cost of the jeans is $45.00, and the discount is 30% off. So, the discount percentage is 30/100 = 0.30.

Substituting these values into the formula, we have:

New cost = $45.00 - (0.30 * $45.00)

= $45.00 - $13.50

= $31.50

Therefore, the new cost of the jeans after a 30% discount is $31.50.

Answer:

-5

Step-by-step explanation:

Answer:

(10(16) + n)/11 = 18

160 + n = 198

n = 38

The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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The x = 6 is not a valid solution because it violates the restriction. So x = 6 is an extraneous solution.Therefore, the only acceptable solution is x = 1.

The equation is:(x)/(x - 2) = (4)/(x² - 8x + 12) - (1)/(x - 6)To solve the above equation, we have to find the LCD (least common denominator) and then convert all terms into a single fraction with the LCD as its denominator. Then we can simplify and solve for x.To find the LCD of the given terms, we need to factorize the denominator of the second term, which is a quadratic equation.x² - 8x + 12 = (x - 6)(x - 2)So the LCD is (x - 2)(x - 6).

Multiplying the first term by (x - 6) / (x - 6), we get:(x)(x - 6) / (x - 2)(x - 6) = (4)(x - 2) / (x - 2)(x - 6) - (1)(x - 2) / (x - 2)(x - 6)Multiplying both sides by (x - 2)(x - 6), we obtain:x(x - 6) = 4(x - 2) - (x - 2)(x - 6)Expanding the brackets, we get:x² - 6x = 4x - 8 - x² + 8x - 12Simplifying and rearranging terms, we get:2x² - 18x + 20 = 0Dividing both sides by 2, we get:x² - 9x + 10 = 0Factoring the equation, we get:(x - 1)(x - 10) = 0So the solutions are:x = 1 or x = 10.

However, we need to check both solutions since there is a restriction in the original equation:x ≠ 2 and x ≠ 6.If we substitute x = 2 in the original equation, we get a 0 in the denominator, which is not defined. So x = 2 is not a valid solution.If we substitute x = 6 in the original equation, we also get a 0 in the denominator.

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Delila's regular charge per styling is approximately $25.48, and the discounted charge per styling is approximately $12.74.

To solve this problem, let's break it down into two parts: finding the regular charge per styling and the discounted charge per styling.

Part 1: Regular charge per styling for the first 25 hair stylings.

Let's assume the regular charge per styling is 'R'.

The total revenue from the first 25 hair stylings at the regular price would be 25R.

Part 2: Discounted charge per styling for the remaining 13 hair stylings.

The discounted charge per styling would be half of the regular price, so it would be 0.5R.

The total revenue from the discounted hair stylings would be 13 [tex]\times[/tex] 0.5R = 6.5R.

Now, let's calculate the total revenue:

Total revenue = Revenue from regular stylings + Revenue from discounted stylings

$802.50 = 25R + 6.5R

$802.50 = 31.5R

To find R, we divide both sides of the equation by 31.5:

R = $802.50 / 31.5

R ≈ $25.48

So, the regular charge per styling is approximately $25.48.

To find the discounted charge per styling, we know it's 50% off the regular price:

Discounted charge per styling = 0.5 [tex]\times[/tex] R = 0.5 [tex]\times[/tex] $25.48

Discounted charge per styling ≈ $12.74

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b = 7. The equation of the hyperbola is thus:$(y - 0)^2/6^2 - (x - 0)^2/7^2 = 1$.

A hyperbola is a set of points in the Cartesian plane whose difference of distances from two fixed points, called foci, is a positive constant.

The distance between the center of the hyperbola and its vertices is a fixed distance, known as the semimajor axis, a.

A transverse axis is perpendicular to the major axis and passes through the center of the hyperbola. For a hyperbola, the distance between its foci is always greater than the length of its transverse axis.

Since the co-vertices of the hyperbola are at (0,7) and (0,-7), the center is at (0,0). The length of the transverse axis is 12, which is equal to 2a, where a is the semimajor axis.

Therefore, a = 6. The equation of the hyperbola is given by the standard form equation:$(y - k)^2/a^2 - (x - h)^2/b^2 = 1$,where (h, k) is the center of the hyperbola, and a and b are the lengths of the semimajor and semi minor axes, respectively.

For this hyperbola, h = 0, k = 0, and a = 6. The length of the semi minor axis can be determined using the co-vertices.

The distance between the center and each co-vertex is equal to b. Therefore, b = 7. The equation of the hyperbola is thus:$(y - 0)^2/6^2 - (x - 0)^2/7^2 = 1$.

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The given expression is essentially saying that rain and wet ground are equivalent.

Given the following propositions:p: It is rainingq: The ground is wetThe given expression is:p ∧ q ⟶ qq ↔ pWe can evaluate the given expression by simplifying it step by step as follows:

Step 1: The logical conjunction (AND) operation is evaluated between propositions p and q. We know that both p and q have to be true in order for the conjunction to be true. Therefore, the result of this step is "p ∧ q".

Step 2: The logical implication (IF-THEN) operation is evaluated between "p ∧ q" and q. We know that for an implication of the form "p ⟶ q", the statement is true if p is false or if q is true. Therefore, the result of this step is "q".

Step 3: The logical biconditional (IF AND ONLY IF) operation is evaluated between q and p. We know that for a biconditional of the form "p ↔ q", the statement is true if both p and q have the same truth value. Therefore, the result of this step is "p".Hence, the given expression "p ∧ q ⟶ qq ↔ p" simplifies to "p".In other words, the expression tells us that if it is raining (p is true), then the ground is wet (q is true). And if the ground is wet (q is true), then it must be raining (p is true).

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The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle [tex]= \frac{180}{3} = 60\)[/tex] degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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In a sprint race, Manuel covered 2/3 of the total distance, and his friend José covered 3/5 of the distance. The fraction which represents the total distance covered by Manuel and José in the sprint race is 19/15

To find the fraction that represents the total distance covered by Manuel and José, we need to add their individual fractions together.

Let's start by finding a common denominator for the fractions 2/3 and 3/5. The least common multiple (LCM) of 3 and 5 is 15.

Now, we can convert the fractions to have a common denominator of 15:

2/3 = (2/3) * (5/5) = 10/15

3/5 = (3/5) * (3/3) = 9/15

Next, we add the fractions together:

10/15 + 9/15 = 19/15

The fraction 19/15 represents the total distance covered by Manuel and José. However, we can simplify this fraction to its simplest form.

To simplify the fraction, we divide the numerator and denominator by their greatest common divisor, which is 1 in this case:

19/15 ÷ 1/1 = 19/15

Therefore, the final answer is 19/15, which represents the total distance covered by Manuel and José in the sprint race.

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The probable question in english:

In a sprint race, Manuel covered 2/3 of the total distance, and his friend José covered 3/5 of the distance. What fraction represents the total distance covered by the two friends?

We have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

To prove that △ABD ≅ △CBD, we can use the SAS (Side-Angle-Side) congruence criterion.

Given:

∠BDA ≅ ∠BDC (Both are right angles)

D is the midpoint of AC¯¯¯¯¯

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯

BD¯¯¯¯¯ bisects ∠B

Proof:

Since D is the midpoint of AC¯¯¯¯¯, we have AD ≅ CD by the definition of a midpoint.

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯ (Given)

BD¯¯¯¯¯ is a common side for both triangles.

∠BDA ≅ ∠BDC (Given)

To apply the SAS congruence criterion, we need to show that one pair of corresponding sides and the included angle are congruent in both triangles.

AD ≅ CD (Side) - This is true as D is the midpoint of AC¯¯¯¯¯.

∠BDA ≅ ∠BDC (Included Angle) - Both are right angles.

By the SAS congruence criterion, we can conclude that △ABD ≅ △CBD.

Therefore, we have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

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The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

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Answer: the answer should be -3 ( if the graph looks like  an upside down U)

Step-by-step explanation:

y= a (x-h)^2 +k     vertex is (h,k) or (4,-3) here and y=-6 , x=5

-6=a(5-4)^2 +(-3)

-6= a(1)^2 -3

-6= a(1)-3

-6+3=a

-3=a

In the given similar triangles below, we have to find the measure of Dwrite. Triangle 1, ABC, is similar to Triangle 2, DEF. The two triangles are similar because their corresponding angles are congruent and their sides are proportional.

In order to find the measure of Dwrite, we can use the concept of proportionality. The sides of similar triangles are proportional to each other.

This means that if we know the ratio of the sides of one triangle, we can use that ratio to find the corresponding sides of the other triangle. We can use this property to find the value of Dwrite.

To start, let's write down the ratio of the sides of Triangle 1 and Triangle 2. We can choose any two corresponding sides to do this, but we'll choose AB and DE because they are easiest to measure: AB/DE = 6/8.5We know that the measure of AB is 6, so we can solve for the measure of DE: DE = AB x (DE/AB)DE = 6 x (8.5/6)DE = 8.5Now we know that the measure of DE is 8.5.

We can use this to find the measure of Dwrite. We know that DE and Dwrite are corresponding sides of Triangle 2 and Triangle 1, respectively.

So we can write a proportion using the ratio of DE to Dwrite: DE/Dwrite = 8.5/xWe know that DE is 8.5, so we can substitute that in:8.5/Dwrite = 8.5/Now we can solve for x by cross-multiplying:8.5x = 8.5Dwrite = 1Therefore, the measure of Dwrite is 1.

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Answer: -14

Step-by-step explanation:

If u have 4 x's divided by 4 = -4 that shows all the temperatures in total for the first 4 days would equal -16.

if u do the same for the first 5 days you get 5x's and say all of them divided by 5 equals -6 which shows that the temperature for the first 5 days in total equals -30.

You then find the difference between -30 and -16 which equals -14

Hope that answered your question.

Best Of Luck

Answer:

Step-by-step explanation:

total interest paid is given as $4,643.46.

total payments = $429.95 x 36 months = $15,478.20

total lease payments = total payments - total interest

total lease payments = $15,478.20 - $4,643.46 = $10,834.74

Remaining balance = Total cost of the lease - Total lease payments

$23,495 - $10,834.74 = $12,660.26

The volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis is 51π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

V = 2π ∫ [a, b] x * h(x) dx

Where:

- V is the volume of the solid

- π represents the mathematical constant pi

- [a, b] is the interval over which we are integrating

- x is the variable representing the x-axis

- h(x) is the height of the cylindrical shell at a given x-value

In this case, we need to solve for x in terms of y to express the equation in terms of y.

Rearranging the given equation:

x = 5 ± √(1 - y)

Since we are only interested in the region in the first quadrant, we take the positive square root:

x = 5 + √(1 - y)

Now we can rewrite the volume formula with respect to y:

V = 2π ∫ [c, d] x * h(y) dy

Where:

- [c, d] is the interval of y-values that correspond to the region in the first quadrant

To determine the interval [c, d], we set the equation equal to zero and solve for y:

1 - (x - 5)² = 0

Expanding and rearranging the equation:

(x - 5)² = 1

x - 5 = ±√1

x = 5 ± 1

Since we are only interested in the region in the first quadrant, we take the value x = 6:

x = 6

Now we can evaluate the integral to find the volume:

V = 2π ∫ [0, 1] x * h(y) dy

Where h(y) represents the height of the cylindrical shell at a given y-value.

Integrating the expression:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * h(y) dy

To find h(y), we need to determine the distance between the y-axis and the curve at a given y-value. Since the curve is symmetric, h(y) is simply the x-coordinate at that point:

h(y) = 5 + √(1 - y)

Substituting this expression back into the integral:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

Now, we can evaluate this integral to find the volume

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

To simplify the integral, let's expand the expression:

V = 2π ∫ [0, 1] (25 + 10√(1 - y) + 1 - y) dy

V = 2π ∫ [0, 1] (26 + 10√(1 - y) - y) dy

Now, let's integrate term by term:

[tex]V = 2\pi [26y + 10/3 * (1 - y)^\frac{3}{2} - 1/2 * y^2][/tex]] evaluated from 0 to 1

V = [tex]2\pi [(26 + 10/3 * (1 - 1)^\frac{3}{2} - 1/2 * 1^2) - (26 * 0 + 10/3 * (1 - 0)^\frac{3}{2} - 1/2 * 0^2)][/tex]

V = 2π [(26 + 0 - 1/2) - (0 + 10/3 - 0)]

V = 2π (25.5)

V = 51π cubic units

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The equivalent matrix of the matrix operations can be given by [tex]\left[\begin{array}{ccc}35&14\\-70&42\end{array}\right][/tex].

Matrix operations are fundamental mathematical operations performed on matrices, which are rectangular arrays of numbers or symbols arranged in rows and columns. Matrix operation includes addition, subtraction, scalar multiplication, matrix multiplication, transposition, determinant, inverse, etc.

Given matrices are written below:

[tex]A=\left[\begin{array}{ccc}1&5\\-5&3\end{array}\right][/tex] and [tex]B=\left[\begin{array}{ccc}4&-3\\-5&3\end{array}\right][/tex].

Given matrices operation to be performed: [tex]7(A)+7(B)[/tex].

[tex]7(A)+7(B)=7\left[\begin{array}{ccc}1&5\\-5&3\end{array}\right] +7\left[\begin{array}{ccc}4&-3\\-5&3\end{array}\right][/tex]

First, perform the scalar multiplication. Multiply both matrices by the scalar [tex]7[/tex].

[tex]\Rightarrow7(A)+7(B)=\left[\begin{array}{ccc}(1\times7)&(5\times7)\\(-5\times7)&(3\times7)\end{array}\right] +\left[\begin{array}{ccc}(4\times7)&(-3\times7)\\(-5\times7)&(3\times7)\end{array}\right]\\\Rightarrow7(A)+7(B)=\left[\begin{array}{ccc}7&35\\-35&21\end{array}\right] +\left[\begin{array}{ccc}28&-21\\-35&21\end{array}\right]\\[/tex]

Now, perform the addition of two matrices.

[tex]\Rightarrow7(A)+7(B)=\left[\begin{array}{ccc}(7+28)&(35-21)\\(-35-35)&(21+21)\end{array}\right]\\\Rightarrow7(A)+7(B)=\left[\begin{array}{ccc}35&14\\-70&42\end{array}\right]\\[/tex]

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Answer:1800

Step-by-step explanation:

Answer:

 $900

Step-by-step explanation:

You want to know the cost of supplying tyres to twelve cyclists if the cost per pair is $75.

Each cyclist requires one pair of tyres, so 12 cyclists will need 12 pairs. At $75 per pair, the total cost is ...

  ($75/pair) × (12 pairs) = $900

It would cost $900 to supply these tyres to 12 cyclists.

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Building 1: 13 people received 32 packets, with 3 packets wasted.

Building 2: 35 people received 50 packets, with 21 packets wasted.

Building 3: 16 people received 16 packets, with 4 packets wasted.

Building 4: 4 people received 36 packets, with 1 packet wasted.

Building 5: 20 people received 249 packets, with 2 packets wasted.

Let's analyze the given information to determine how many food packets each person receives and the amount wasted during the flood.

Building with 419 packets:

People: 13

Packets per Person: 419 / 13 = 32

Packets Wasted: 419 - (13 * 32) = 419 - 416 = 3 packets

Building with 1771 packets:

People: 35

Packets per Person: 1771 / 35 = 50

Packets Wasted: 1771 - (35 * 50) = 1771 - 1750 = 21 packets

Building with 260 packets:

People: 16

Packets per Person: 260 / 16 = 16

Packets Wasted: 260 - (16 * 16) = 260 - 256 = 4 packets

Building with 145 packets:

People: 4

Packets per Person: 145 / 4 = 36.25 (rounded to the nearest whole number)

Packets Wasted: 145 - (4 * 36) = 145 - 144 = 1 packet

Building with 4982 packets:

People: 20

Packets per Person: 4982 / 20 = 249.1 (rounded to the nearest whole number)

Packets Wasted: 4982 - (20 * 249) = 4982 - 4980 = 2 packets

Therefore, during the flood, the distribution of food packets and the amount wasted in each building is as follows:

Building 1: 13 people received 32 packets, with 3 packets wasted.

Building 2: 35 people received 50 packets, with 21 packets wasted.

Building 3: 16 people received 16 packets, with 4 packets wasted.

Building 4: 4 people received 36 packets, with 1 packet wasted.

Building 5: 20 people received 249 packets, with 2 packets wasted.

for such more question on distribution

https://brainly.com/question/4079902

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