If sarah can blow up three balloons in one minute , how long will it take her to blow up 21 balloons?

By virtue of the properties of congruency of sides of opposite sides, the solution of x is 5 as 4/x-3 = x-7/35.

a number or values that, when used as a substitution for one or more variables in an equation, make the equation true. For instance, the answers to the equation x2 = 4 are 2 and -2. a method or technique for solving a problem. an explanation of a solution. specifically: a collection of variable values that satisfy an equation. A number that can be entered as the variable's replacement in an equation serves as the solution. 6+5=11 is correct according to the formula 3(2)+5=11. The answer is therefore 2,

given

AB / CD = EF/GH

4/x-3 = x-7/ 35

x = 5

so By virtue of the properties of congruency of sides of opposite sides, the solution of x is 5 as 4/x-3 = x-7/35.

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The graphical representation that would be most appropriate for the data, given the number of different breakfast cereals sold, is B. Histogram, because there is a large set of data.

Histograms are used for large sets of data because they provide a visual representation of the distribution of the data. They are particularly useful for understanding the distribution of continuous variables, such as measurements or time series data.

One of the main advantages of histograms is that they allow for easy comparison of large sets of data. The use of bars to represent the data makes it easy to see the overall shape of the distribution and identify patterns or outliers. Additionally, histograms can be used to compare multiple sets of data at once, allowing for easy comparison of different groups or changes over time.

Another advantage of histograms is that they can be used to identify the underlying probability distribution of a dataset, which is useful for statistical analysis and modeling.

This is why, given the fact that the data contains information from 1, 000 different cereals, a histogram is best to show this as the data is large.

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Answer: B Histogram

Step-by-step explanation:

The total number of dogs that turned up per day for the 3 weeks are;

Day 1 = 12 dogs

Day 2 = 9 dogs

Day 3 = 18dogs

Day 4 = 3 dogs

Day 5= 24 dogs

If the same amount of dogs turned up each day over the three weeks then we have;

For week 1

Day 1 = 4 dogs

Day 2 = 3 dogs

Day 3 = 6 dogs

Day 4 = 1 dog

Day 5 = 8 dogs

Total for the week = 22 dogs

For week 2

Day 1 = 4 dogs

Day 2 = 3 dogs

Day 3 = 6 dogs

Day 4 = 1 dog

Day 5 = 8 dogs

Total for the week = 22 dogs

For week 3

Day 1 = 4 dogs

Day 2 = 3 dogs

Day 3 = 6 dogs

Day 4 = 1 dog

Day 5 = 8 dogs

Total for the week = 22 dogs

For the 3 weeks

Day 1: 4 x 3dogs = 12 dogs

Day 2: 3 x 3dogs = 9 dogs

Day 3: 6 x 3dogs = 18dogs

Day 4: 1 x 3dogs = 3 dogs

Day 5: 8 x 3dogs = 24 dogs

Total dogs seen in the 3 weeks = 66 dogs

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The value of k is 4. So the constant of proportionality is 4.

In the given question, a linear relationship is shown in the table.

Time (hour)         2    4    6    8

Distance (mile)   4    8    12   16

We have to find the linear relationship also proportional.

When determining if two ratios or fractions are equivalent, the proportion formula is utilized. One way to express the percentage formula is as a: Whereas a and d are the extreme terms and b and c are the mean terms, b::c: d = a/b = c/d.

y ∝ x is the supplied proportional equation.

Additionally, y = kx, where k is the proportionality factor.

It shows that the expressions printed on the left and right sides have an equal relationship.

Let k be the proportionality constant for the given data.

Now , the value of k is determined by x = {2, 4, 6, 8}.

The values of distances be y = {8, 16, 24, 32}.

The proportionality constant is now provided by y = kx.

Divide by x on both sides of the equation, we get

k = y/x

Substituting the values in the equation, we get

k = 8/2

k = 4

k = 16/4

k = 4

Hence, the value of k is 4. So the constant of proportionality is 4.

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The constant of proportionality is 4.

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Let the proportionality constant be k

Noe the value of proportionality constant k is determined by

The values of time be x = {2,4,6,8}

The values of distance be y = {8,16,24,32}

Now, the constant of proportionality is given by

y = kx

Divide by x on both sides of the equation, we get, k = y/x

Substituting the values in equation, we get

K = 8/2 = 4

And k = 16/4 = 4

Therefore the value of k is 4.

hence, the constant of proportionality is 4.

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Therefore , the solution of the given problem of algebraic comes out to

be 9y⁴ /z³ - 3zy⁴.

Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions. In algebra, we use numbers with definite or fixed values such as 2, 7, 0.068, and so on. In algebra, we use variables such as x, y, and z in addition to numbers.

Here,

Given:

=> (36z²y⁶ - 12z⁶y⁶) / 4z⁵y²

=> 9y⁴ /z³ - 3zy⁴

thus , we get the solution for the given algebraic expression.

Therefore , the solution of the given problem of algebraic comes out to

be 9y⁴ /z³ - 3zy⁴.

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Answer: 2.54167 another way to write it 2 13/24 gallons of water jake put in his water.

Step-by-step explanation:

Therefore , the solution of the given problem of factor comes out to be

the factor can be solved by listed below steps.

A factor seems to be a variable that is multiplied by another to produce a result. A multiplication puzzle has a product as its answer. Consider an arithmetic problem as the process of multiplying the factors to obtain the product. For instance, the factors of 8 are 2 and 4: A number may have only two components or many other factors.

Here,

There are four main steps in the Solve via Factoring process:

1) Use addition or subtraction to transfer all terms around one part of the equation, typically the left.

2) Completely factor the equation.

3) Solve by setting each element to zero.

4) Identify each of the Step 3 answers as a solutions to the initial problem.

Therefore , the solution of the given problem of factor comes out to be

the factor can be solved by listed above steps.

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Therefore , the solution of the given problem of triangle comes out to be PN =100 cm .

An triangle is a polygon since it has four or more parts. It is a simple geometric shape. A square having angles A, B, and C is referred to as a triangle ABC. When the sides are not collinear, Euclidean geometry generates a single plane and square. If a triangle has three sides and three corners, it is a polygon. The corners of a triangle are where its three sides meet. The sum of the angles in a triangle is 180 degrees.

Here,

Given :

MN = 15 cm

and

LP = 100

and

ΔPLN=ΔPNL

Length of PN:

Since

=> PN = LP

=> PN =100 cm

Therefore , the solution of the given problem of triangle comes out to be

PN =100 cm .

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Answer:

y-(-2)=-12(x-4)

Step-by-step explanation:

Use Slope point Form to solve this equation. Follow the steps in the image.

-Hope this helped

The value of y so that the line has a slope of 1 is given as follows:

y = -2.

The slope of a linear function represents the rate of change of the output variable y relative to the input variable x.

Hence, given two points, the slope is calculated as the change in y divided by the change in x.

The points for this problem are given as follows:

(-1, y) and (4,3).

The change in y is of:

3 - y

The change in x is of:

4 - (-1) = 5.

The slope will have a value of one when:

(3 - y)/5 = 1

3 - y = 5

y - 3 = -5

y = -2.

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Answer: 3,000 x 9,000,628 = 27,001,884,000 ✅

Step-by-step explanation:

It is the result of multiplication of 3,000 with 9,000,628.

PLEASE GIVE ME THE BRANLIEST PLEASXE IM BEG

Answer:

27,001,894,000

put it in a calculator

The point that is further from point A is point B

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

distance between points  A (-5, 8) and B(1, 0)  is calculated as follows

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

d =√{(-5 - 1)² + (8 - 0)²}

d =√{36 + 64}

d = √100

d = 10 units

distance between points  A (-5, 8) and C(-10, 16) is calculated as follows

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

d =√{(-5 + 10)² + (8 - 16)²}

d =√{25 + 64}

d = √89

d = 9.43 units

comparing both points shows that point B shows further away

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The graph that represent the amounts of fruit juice and ginger ale he can use, and the valid solution is: A. valid solution (28, 8).

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of cups of fruit juice and number of hours clearing tables respectively, and then translate the word problem into algebraic equation as follows:

Since Hector is mixing fruit punch in a 40-cup punch bowl for a party, an inequality which models this situation is given by:

x + y ≤ 40.

Additionally, Hector plans to add at least 24 cups of fruit juice to the bowl before adding ginger ale:

x ≥ 24.

Based on the graph (see attachment), we can logically deduce that a valid solution to the given system of inequalities is the overlapping solution region, which is given by the ordered pair (28, 8).

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The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.

When an equation is given in this format, finding both intercepts is rather simple (x and y). Additionally, when resolving systems of two linear equations, this form is highly helpful.

It is possible to determine the x- and y-intercepts of the corresponding line when we have a linear equation in standard form.

In some circumstances, we might want to convert an equation written in a different form to standard form (for instance, while solving systems of equations).

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Answer:

AB ≈ 5.2

Step-by-step explanation:

given ∠ CAD = ∠ BAD = Θ

then AD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides , that is

[tex]\frac{BD}{CD}[/tex] = [tex]\frac{AB}{AC}[/tex] ( substitute values )

[tex]\frac{4.1}{4.3}[/tex] = [tex]\frac{AB}{5.5}[/tex] ( cross- multiply )

4.,3 AB = 4.1 × 5.5 = 22.55 ( divide both sides by 4.3 )

AB ≈ 5.2 ( to one decimal place )

Answer:

A) [tex]x>-2[/tex]

Step-by-step explanation:

[tex]x+4>-x \\ \\ 2x+4>0 \\ \\ 2x>-4 \\ \\ x>-2[/tex]

The speed of the sound traveling through the medium is 3590.4 m/s.

What is speed of sound?

The speed of sound is the distance traveled by a sound wave per unit time.A sound wave is a pressure disturbance that propagates through the medium through the interaction of particles. When one particle is perturbed, it exerts a force on the next adjacent particle, thus perturbing that particle from rest and transporting energy through the medium.

The speed of a sound wave can be calculated using the formula,

[tex]speed = frequency \times wavelength[/tex]

Where frequency is measured in Hertz and wavelength is measured in meters .

Putting in the given values,

speed = 520 x 6.92

So, speed = 3590.4 m/s

Therefore, the speed of the sound traveling through the medium is 3590.4 m/s.

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As per the given functions A(x) and B(x), at the month 8th the price of his phone be less with website B than website A.

The term function in math is known as a relationship between inputs where each input is related to exactly one output.

Here we have given that Asher is able to sell his cell phone on two different websites, A and B.

And in the given table, the different rates are represented by the functions A(x) and B(x), where t is time in months.

While we looking into the given question, we have identified that there are two functions are listed as follows:

A(x) = 80(0.86)ˣ

B(x) = 80 - 8t

When we plot the function on the graph, then we get the graph like the following,

Through the graph, we have identified that on the point of (8, 23.93) and (8,16) has been the resulting point.

Therefore, the correct option is (d).

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Answer:  [tex]f \ge 26[/tex]

Work Shown:

[tex]-\frac{1}{2}f \le -13\\\\-2*(-\frac{1}{2}f) \ge -2*(-13)\\\\f \ge 26[/tex]

To isolate the variable f, we multiply both sides by -2.

Multiplying both sides by a negative number will flip the inequality sign.

Step-by-step explanation:

Grade 7 Science. Solutions… a review. A homogeneous mixture They appear as ONE substance Examples: tap water, vinegar, gold jewelry.

1. The graph of Lin mistake is shown below.

2. The Vertical intercept of Lin graph is less than the correct graph.

3. The slope of Lin graph (m= 30) is less than Correct graph (m=40).

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

1. Lin started with reading 30 pages.

Then, after 1sr day she will read the 40 pages per day.

So, if number of days represented by x- coordinates and number pages pages by y- coordinate we get

On first day (0. 30)

On second day (1, 30+40)= 91. 70)

On third day (2, 70+40)= (2, 110)

On fourth day (3, 110+40) = (3, 150)

and, On fifth day (4, 150+40)= (4, 190)

Hence, Line made mistake as after 4 days he completed 190 pages.

2. The Vertical intercept of Lin graph is less than the correct graph.

3. The slope of Lin graph (m= 30) is less than Correct graph (m=40).

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Dilated eyes cause ,A traumatic injury, drug/medication side effects, or dilating eye drops after an eye checkup may all contribute to the illness.

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Rounding to the nearest tenth: x = 7.6

What is an angle bisector?

An angle bisector is a line or segment that divides an angle into two congruent angles. It is called an angle bisector because it bisects, or cuts in half, the measure of the angle. An angle bisector can also divide the angle into two angles of different measures if the angle is not congruent.

In order to find x, we can use the Angle Bisector Theorem which states that the ratio of the length of the segment from the vertex of the angle bisector to the sides of the angle is equal to the ratio of the length of the other two segments formed by the angle bisector.

In this case, we know that QT is an angle bisector of angle X, so we can set up the following proportion:

(ST/x) = (TR/XT)

We are given that ST = 21, TR = 32 and XT = 18

Solving for x:

x = (21*18) / (32+18) = 378 / 50 = 7.56

Hence, Rounding to the nearest tenth: x = 7.6

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On solving the provided question, we can say that A,O, B lie on a straight line segment, so, angle COD=46°

An angle is a form in Euclidean geometry made composed of two rays, called the angle's sides, that meet at a point in the middle known as the angle's vertex. In the plane where the rays are placed, two rays can produce an angle. An angle is also produced when two planes intersect. They're known as dihedral angles. In plane geometry, an angle is the form that two rays or lines with a common termination might take. The Latin word "angulus," which means "horn," is where the English word "angle" comes from. The two rays, also known as the sides of the angle, have a common termination known as the vertex.

A,O, B lie on a straight line segment.

We know that

straight line has  = 180

angle AOC=3x+88

angle COD=(x+36)

Angle DOB = (2x - 4)

[tex]AOC+ COD+ DOB=180\\(3x+88)+(x+36)+(2x-4)=180\\6x+190=180\\ x=60/6=10 \\COD=x+36=10+36=46\\[/tex]

so, angle COD=46°

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B) Therefore, the polynomials among the given options are (i), (ii), (iv),  and (vii).

A polynomial is a mathematical expression made up of constants, variables, and non-negative integer exponents.

It can have no variable at all, one variable or multiple variables.

A polynomial can't have a negative exponent. It never has division by a variable. Based on this definition, options

(iii) 1- √5x

(v) (x-2)(x-4)/x

(vi) 1/x+1, and

(viii)1/2xa

are not polynomials because they have fractional exponents or negative exponents.

Therefore, the polynomials among the given options are (i), (ii), (iv), and (vii) because they do not have fractional or negatice exponent.

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The exponent of 3 in 3^3 is 3, also called "cubed" or "3 raised to the 3rd power".

We can add the factor 4 seven times to find the product 4 × 7.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number. a × b means that a is added to itself b times or b is added to itself a times.

So we know that multiplication is basically addition of one of the numbers up to the times as that of the other number.

Given, we have to find the product of 4 × 7, in terms of addition, by using the factor 4.

The meaning of the product of 4 and 7 is that 4 is adding to itself 7 times or 7 is adding to itself 4 times.

Since we need to break the product in terms of 4 as addends, we can write,

4 × 7 = 4 + 4 + 4 + 4 + 4 + 4 +4

Hence we can break 4 as 7 equal addends to find the given product.

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A rectangle has four sides and angles at 90 degree.

A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.  A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

Given: shape of a rectangle

A rectangle is closed flat shape, having four sides, and each angle equal to 90 degrees. The opposite sides of the rectangle are equal and parallel.

Hence, A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).

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Geometry vocabulary assisted us in continuing to lay the groundwork for thinking critically, clearly, and profoundly. So even if you might not want to or even be able to recall the geometry vocabulary, it nonetheless had a role in your mental growth and helped you become the thoughtful adult you are today.

The father of geometry, Euclid was a brilliant mathematician. Learn more about Euclid and the history of some of the math ideas we use today to see how important they have become.

The terms "ge" and "metria," which both imply "measuring," are the origins of geometry. For more than 2000 years, the Greeks' method of approaching geometry has served as the foundation for geometry.

The study of various mathematical or actual-world forms, figures, and sizes is known as Geometry. We learn about various angles, transformations, and similarities between the forms in geometry. The point, line, and plane are the main building blocks of geometry.

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Geometry vocabulary assisted us in continuing to lay the groundwork for thinking critically, clearly, and profoundly. So even if you might not want to or even be able to recall the geometry vocabulary, it nonetheless had a role in your mental growth and helped you become the thoughtful adult you are today.

Understanding vocabulary has a significant role in general comprehension in many subject areas, including mathematics. There are several, tried-and-true techniques for teaching vocabulary across all subject areas. The growth of mathematical competency depends on the teaching and learning of the mathematical language.

Our continued development of the foundations required to think critically, clearly, and thoroughly was made possible by our language in geometry. Therefore, even if you might not want to or even be able to recall your geometry vocabulary, it nevertheless had a role in your mental growth and helped you become the thoughtful adult you are today.

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