The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4, and each adult ticket sells for $8. There was a total of $640 in revenue from the sale of 100 total tickets. Graphically solve a system of equations in order to determine the number of student tickets sold, x, and the number of adult tickets sold, y.

Answers

Answer 1

The number of student tickets sold is 40 and the number of adult tickets sold is 60.

Define System of equations

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given,

Each student ticket sells for = $4

Each adult ticket sells for = $8

Total tickets sale = 100

Revenue from the sale of 100 tickets = $640

Let, x = number of student tickets sold

and, y = number of adult tickets sold

so, let's form a equation

x + y = 100             ------(i)

4x + 8y = 640        -------(ii)

Rewrite eq(i),

x = 100 - y

Now, substitute x value in eq(ii)

4(100- y) + 8y = 640

400 - 4y + 8y = 640

4y = 640 - 400

y = 240 / 4

y = 60

Now, put y value in eq(i)

x + 60 = 100

x = 40

Hence, the number of student tickets sold is 40 and the number of adult tickets sold is 60.

Now, to solve graphically

Let's rewrite the eq(i) and eq(ii)

y = 100 - x

y = 80 - (1/2) x

Plot these lines on graph as mentioned below.

And, the solution is the point of intersection(40,60)

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The Drama Club Is Selling Tickets To Their Play To Raise Money For The Show's Expenses. Each Student

Related Questions

find the weight ? needed to hold the wall shown in fig. p2.76 upright. the wall is 10 m wide.

Answers

As per the given height of the wall, the approximate weight is 149kN

The term Hydrostatic refers to the force exerted by static water on the plate or object and its magnitude depends upon the positioning of the object inside the water.

Here we have given the following values,

Height = 2.76 upright

Width = 10 m

Here we have to consider the hydrostatic force acting on the wall about the pinned point say P then the expression is looks like,

=> F = ωAx

=> F =  9810(10 × 4) × 2

=> F = 784800 N = 785KN

Now, the weight is calculated as per the Hydrostatic method as,

=> W = (1.33/7) x 785

=> W = 149 kN

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name the image point when the object point (4,4) is mapped by the following translations. (x,y)-->(x+1,y-1)

Answers

The image of the point after the translation is (5,3)

How to determine the image of the point?

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

Point =(4, 4)

This point can be represented as

(x, y) = (4, 4)

The translation equation is given as

(x,y)-->(x+1,y-1)

Substitute the known values in the above equation, so, we have the following representation

(x,y)-->(4+1,4-1)

Evaluate

(x,y)--> (5,3)

Hence, the image is (5,3)

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10. To find the height of a tower, a surveyor positions a transit that is 2 m tall at a spot
35 m from the base of the tower. She measures the angle of elevation to the top of the tower to be 51°. What is the height of the tower, to the nearest meter? (show work pls)

Answers

The height of the tower where surveyor positions a transit that is 2 m tall  = 45.19 m

What is trigonometric functions?

Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent are the six trigonometric functions. The trigonometric functions in mathematics are real functions that link the angle of a right-angled triangle to the ratios of the lengths of the two sides.

given:

transit height = 2 m

distance from the base of the tower = 35 m

angle of elevation = 51°

Utilize trigonometric functions to solve this problem. The tangent trigonometric function connects the opposite side and the neighboring side.

Opposite side / Adjacent side = tan Ф

solving opposite side = Opposite side = Adjacent side x tan Ф

Opposite side = 35 x tan 51°

Opposite side = 35 x  1.234

Opposite side = 43.19 m

calculating the tower height = 43.19 + 2 m

= 45.19 m

therefore the height of the tower = 45.19 m

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What is the formula for finding the altitude?

Answers

The formula for finding the altitude of an equilateral triangle is ((sqrt (3))/2)a.

As we know, the sides of an equilateral triangle are equal. Let the side of the triangle be 'a'.

Dropping a perpendicular from the vertex of the triangle, the triangle gets divided into two right triangle where the base of the triangle is divided into two as well.

Therefore, by using the Pythagoras' theorem,

we can get the altitude (say 'h') of the triangle by:

h^2 = a ^ 2 - (a/2) ^ 2 = 3a ^ 2/4

h = sqrt (3a^2/4) = ((sqrt (3))/2)a.

The question is incomplete, the complete question is:

What is the formula for finding the altitude of an equilateral triangle?

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What is the mean of 20 and 10?

Answers

15  is the mean of 20 and 10 .

What are the mean, median, and example?

A data collection is ordered from least to largest, and the median is the midpoint number. A data set's mode is the number that appears the most frequently. The most frequent number, or the one that happens the most frequently, is known as the mode.

                     Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.

x = 20 + 10/2

x = 30/2

x = 15

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What is the factor of 3x² 6x?

Answers

The factors form of the given equation 3x²−6x is 3x(x−2)

Given that:

3x²−6x

To find : The factor form of 3x²−6x

The splitting or decomposition of an entity (such as a number, a matrix, or a polynomial) into the product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics. You will mostly learn this idea in your lower secondary studies, which run from grades 6 to 8.

=3×x×x−2×3×x, factor each monomial

=3x(x−2), factor out common factor 3x

The factors form of 3x²−6x is 3x(x−2)

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Thanks for all of the helpers
here is another slope question

Answers

Answer:

m = 5

Step-by-step explanation:

The equation is y = mx + b

The m here is the slope; in this case, the slope is 5

How to find the possibility?

Answers

Answer:

Step-by-step explanation:

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes. Probability of event to happen P (E) = Number of favourable outcomes/Total Number of outcomes

suppose the correlation between height and weight for adults is 0.40. what proportion (or percent) of the variability in weight can be explained by the relationship with height? group of answer choices 84% 16% 60% 40%

Answers

The 16% variability in weight can be explained by the relationship with height.

What is correlation?

In statistics, there are three different forms of correlation: positive, negative, and no correlation.

The link between two variables is said to be positive correlated when both variables move in the same direction. When one variable decline (or grows) while the other variable lowers (or increases), there is a positive perfect correlation, denoted by the number +1.

When two variables are correlated negatively, both of the variables are moving in the opposing direction. When one variable rises (or falls) while the other rises (or falls), there is a negative perfect correlation, which is symbolised by the number -1.

No correlation, which is represented by 0, means that there is no connection or reliance between the two variables.

On the basis of provided information, the correlation between the height and weight for adults is,

r = +0.4

So, the coefficient of determination is calculated as,

[tex]r^{2} = (0.40)^{2}[/tex] = 0.16 = 16%

Based on the provided information, the required answer is 16%.

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A corporate bond has a face value of p dollars. The interest each year is 6% of the face value. After received each year. The payout is the sum of the face value and the total interest. years the total interest is the product of the number of years, 1, and the interest (a) Express the total interest /, in dollars, as a function of the age f, in years, of the bond. Note that "I is already provided. Do not include this in your submitted response to this question. I .06t+p Edit (b) Express the payout P, in dollars, as a function of f. Note that "P is already provided. Do not include this in your submitted response to this question. P= Edit

Answers

A corporate bond has a face value of p dollars. The interest each year is 6% of the face value.  the total interest /, in dollars, as a function of the age f, in years, of the bond is

a)I(f) = 0.06 * f * p

b) P(f) = I(f) + p

What is the function?

Generally, (a) The total interest, in dollars, as a function of the age f, in years, of the bond can be expressed as:

I(f) = 0.06 * f * p

This represents the total interest paid over f years, which is calculated by multiplying the annual interest rate (0.06), the number of years (f), and the face value of the bond (p).

(b) The payout P, in dollars, as a function of f can be expressed as:

P(f) = I(f) + p

This represents the total payout over f years, which is calculated by adding the total interest paid (I(f)) and the face value of the bond (p).

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A cubic polynomial with rational coefficients has the roots 7+√5 and 1/4. Find on additional root.

A. 7-√5
B. 7+√5
C. 5+√7
D. 5-√7

Answers

Answer:

Additional root of 7+√5 and 1/4 is:

D.5-√7

i am a number less than 3,000.when you divide me by 32, my remainder is 30. when you divide me by 58, my remainder is 44. what number am i?

Answers

The number less than 3,000.when you divide me by 32, my remainder is 30. when you divide me by 58, my remainder is 44 is one of this {798, 1726, 2654}.

There exists a, b∈N such as

N= 30+32a=44+58b

Therefore,

16a-29b= 22-15=7

Let us notice that 5×29-9×16=1

Therefore, 35×29-63×16=7

Hence, a= -63 is a non-fundamental solution to our equation.

We can show that the other solution are of the form a=-63+29k, with k∈Z

Therefore, the first positive solutions are

a= -63+3×29= 24

N= 798

a= -63+4×29= 53

N= 1726

a= -63+5×29=82

N= -63+6×29= 111

N= 3582

Therefore, the number is one of {798, 1726, 2654}.

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What is the link between the transformation and congruence and similarity?

Answers

If we can move one thing without affecting its size or shape such that it perfectly overlays the other picture, then two objects are congruent. These motions are what are known as congruence transformations.

What are the characteristics of a rigid motion transformations?

While the image's size and shape are unaffected by rigid body motion, its location and orientation are. The three fundamental movements of a rigid body are translation, reflection, and rotation. Prior to movement, archetypes depict points or forms.

In order for two items to be congruent, one of them must be able to be moved over the other without affecting its size or form. Congruence changes are what we refer to as these motions. The transformation of an object into a congruent object is known as a congruence transformation.

∠A = ∠B

And, also

AB = BC

AD = BD

Therefore,

ΔABC ≅ ΔDEF

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Use the summation notation to rewrite the following expression. 1 2 3 n + + + + 2! 3! 4! (n + 1)! Σ k = 1

Answers

The rewritten expression using the summation notation is ∑ k = 1 1! + 2! + 3! + ... + (n+1)!

The summation notation is a way to represent the sum of a series of terms. In the summation notation, the series of terms is represented by an expression that is followed by a summation symbol (∑). The summation symbol is usually followed by an index of the summation (k in this case), an equal sign (=), the starting value of the index, and a colon (:). The series of terms is then written below the summation symbol, with the index replacing the variable in each term.

To rewrite the given expression using the summation notation, we can use the following steps:

Identify the series of terms: 1 + 2 + 3 + ... + n.

Write the series of terms below the summation symbol: ∑ k = 1

Replace the variable in each term with the index: 1! + 2! + 3! + ... + (n+1)!

The rewritten expression using the summation notation is ∑ k = 1 1! + 2! + 3! + ... + (n+1)!

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please help me with this question its urgent

Answers

Answer:

316 milliliters of compound A

Step-by-step explanation:

We know for every 7milliliters, we have 4 milliliters of compound A and 3 milliliters of compound B

So, take 553 divided by 7 = 79

So, take 4 times 79 = 316 milliliters of Compound A

So, 316 milliliters of Compound A are needed!

A woman on a billboard is 8 3/8 feet tall. If the scale of the billboard is 1 foot = 8 inches, what is her actual height?​

Answers

So, we can start off by listing what information the question has given us:

Billboard height - 8 3/8 ft
Scale - 1 ft = 8 in

With this info, we can undergo a conversion. We know 1 foot is eight inches but we have been given 8 feet. Since every one foot is eight inches, we will multiply the 8 feet by 8 inches.

8ft x 8in = 64 in

We have converted the 8 feet but still have the 3/8th of a foot. Since every number is a fraction over 1, we can multiply 3/8ft by 8/1 inches to convert it.

3 8 24
— x — = —
8 1 8

24 over 8 can be simplified into 3 over 1, aka 3 (8 divided by 8 is 1, and 24 divided by 8 is 3).

3 + 64 = 67

The woman’s actual height is 67 inches or 5.58 ft (since every 12 in make a ft).

What kind of polynomial is 3x²?

Answers

The polynomial 3xA² is a linear monomial having one term and a degree one.

What is a polynomial?

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

There are many types of polynomials according to the number of terms they have.

If a polynomial has one term it is called a monomial, Has two terms called a binomial, and having three makes it a trinomial.

Given, A polynomial 3xA².

Now, The variable is 'x' and raised to the power of 1 so it is linear and consists of only one term so it is a monomial as 3 and A are constants.

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FIND THE FIRST DERIVATIVE OF g(x)=√x² + 2x​​

Answers

We are asked to find the first derivative of,

[tex]\longrightarrow g(x) = \sqrt{x^2+2x}[/tex]

Here we can write the term [tex]x^2+2x[/tex] by adding and subtracting 1 as,

[tex]x^2+2x = x^2+2x+1-1[/tex]

[tex]x^2+2x = (x+1)^2-1\quad[\because\, x^2+2x+1=(x+1)^2][/tex]

Thus,

[tex]\longrightarrow g(x) = \sqrt{(x+1)^2-1}\quad\dots(1)[/tex]

Now take,

[tex]x+1=\sec\theta\quad\dots(2)[/tex]

[tex]x=\sec\theta-1[/tex]

[tex]dx=\sec\theta\tan\theta\, d\theta[/tex]

[tex]\dfrac{d\theta}{dx}=\dfrac{1}{\sec\theta\tan\theta}\quad\dots(3)[/tex]

Then (1) becomes,

[tex]\longrightarrow g(x) = \sqrt{sec^2\theta-1}[/tex]

We have,

[tex]\sec^2\theta-1=\tan^2\theta[/tex]

So we get,

[tex]\longrightarrow g(x) = \tan\theta[/tex]

Now,

[tex]\longrightarrow g'(x) = \dfrac{d}{dx}\,[\tan\theta][/tex]

By chain rule,

[tex]\longrightarrow g'(x) = \dfrac{d}{d\theta}\,[\tan\theta]\cdot\dfrac{d\theta}{dx}[/tex]

[tex]\longrightarrow g'(x) = \sec^2\theta\cdot\dfrac{1}{\sec\theta\tan\theta}\quad\quad\textrm{[From (3)]}[/tex]

[tex]\longrightarrow g'(x) = \sec\theta\cdot\dfrac{1}{\tan\theta}[/tex]

[tex]\longrightarrow g'(x)=\dfrac{1}{\cos\theta}\cdot\dfrac{\cos\theta}{\sin\theta}[/tex]

[tex]\longrightarrow g'(x)=\dfrac{1}{\sin\theta}\quad\dots(4)[/tex]

But we have,

[tex]\sin^2\theta+\cos^2\theta=1[/tex]

[tex]\sin\theta=\sqrt{1-\cos^2\theta}[/tex]

[tex]\sin\theta=\sqrt{1-\dfrac{1}{\sec^2\theta}}[/tex]

[tex]\sin\theta=\dfrac{\sqrt{\sec^2\theta-1}}{\sec\theta}[/tex]

[tex]\sin\theta=\dfrac{\sqrt{(x+1)^2-1}}{x+1}\quad\quad\textrm{[From (2)]}[/tex]

[tex]\sin\theta=\dfrac{\sqrt{x^2+2x}}{x+1}[/tex]

Hence (4) becomes,

[tex]\longrightarrow\underline{\underline{g'(x)=\dfrac{x+1}{\sqrt{x^2+2x}}}}[/tex]

This is the first derivative of the given function.

Solve the system
(4x + 7y= 41
(x-7y=-16

Answers

Answer:

{ X = 5} {Y = 3} pls mark brainliest

Step-by-step explanation:

Add the two equations: 4x + 7y + (x-7y) = 41 + (-16)

Remove parentheses: 4x + 7y + x-7y = 41 + -16

Cancel one variable:4x + x + = 41 + -16

Combine like terms: 5x = 41 - 16

Calculate the sum or difference: 5x = 25

Divide both sides of the equation by the coefficient of variable: x = 25/5

Cross out the common factor: X = 5

Substitute into one of the equations: 5 - 7y = -16

Rearrange unknown terms to the left side of the equation:  5 - 7y = -16 - 5

Calculate the sum or difference: -7y = -21

Divide both sides of the equation by the coefficient of variable: -21/-7

Determine the sign for multiplication or division: y = 21/7

Cross out the common factor: y = 3

The solution of the system is: { X = 5} {Y = 3}

What will be the nature of roots of quadratic equation 2x² 4x?

Answers

The roots of the given equation 2x2 + 4x = 0 are -1 and 0. It can be seen from the roots that the nature of the roots is real and equal.

The nature of the roots of a quadratic equation ax2 + bx + c = 0 with real coefficients a, b, and c can be determined by using the quadratic formula. The quadratic formula states that the two roots of the equation are given by:

x = (-b ± √(b2 - 4ac)) / 2a

For the equation 2x2 + 4x = 0, a = 2, b = 4, and c = 0. Substituting these values into the quadratic formula, we get the two roots of the equation as:

x = (-4 ± √(42 - 4(2)(0))) / 2(2)

x = (-4 ± 0) / 4

x = -1, 0

Therefore, the roots of the given equation 2x2 + 4x = 0 are -1 and 0. It can be seen from the roots that the nature of the roots is real and equal.

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At which root does the graph of f x x 5 3 x 2 2 touch the x axis?

Answers

The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.

Given that,

The function is f(x)= (x-5)³(x+2)²

We have to find at which root does the graph function touch the x-axis.

We know that,

What is a function?

Mathematical calculus' core component is functions. The unique forms of relationships are the functions. When it comes to arithmetic, a function is represented as a rule that produces a different result for each input x.

Take the function

f(x) = (x-5)³(x+2)²

f(x) = 0 if a curve touches the x-axis.

⇒ (x - 5)³(x + 2)² = 0.

But if ab = 0

So, a=0 and b=0

⇒ (x - 5)³ = 0 and (x + 2)² = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x=5 and x=-2.

Therefore, The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.

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Please help 90pts! :D
Find the product of 6b(2 over 3b).

20 over 3b
4b
23 over 3 b2
4b2

Answers

Answer:

Answer is 4, but in the answer choices provided it is 4b.

Step-by-step explanation:

Use PEMDAS! (Order of PEMDAS: Parenthesis, exponent, Multiplication, division, addition, subraction)

1. Multiply 6b x 2= 12b.

2. Divide 12b by 3b = 4. or 4b

Answer:

D) 4b²

---------------------------

Given

[tex]6b\ (\cfrac{2}{3}\ b)[/tex]

Find the product

[tex]6b\ (\cfrac{2}{3}\ b) = b^2\ (\cfrac{12}{3})\)=4b^2[/tex]

Correct choice is D.

In the 1970s, due to world events, there was a gasoline shortage in the united states. There were often long lines of cars waiting at gas stations. 1 if there were a million cars in line, bumper to bumper, with average length of 9. 65 feet, how long would that line be in miles? round your answer to the nearest mile.

Answers

The length of the line is 1712.12 miles if there were often long lines of cars waiting at gas stations. If there were a million cars in line, bumper to bumper.

Given :

What is average?

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

There were often long lines of cars waiting at gas stations. If there were a million cars in line, bumper to bumper.

The average length  = 9.04 feet

The length of the line can be found as follows:

= 9.04 * 1,000,000

The length of the line  = 9,040,000 feet/5280 feet (1 mile)

= 1712.12 miles

Thus, the length of the line is 1712.12 miles if there were often long lines of cars waiting at gas stations. If there were a million cars in line, bumper to bumper.

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I need help i will choose you as the brainlyest answer is you get it right.

Answers

Answer:

6/4

1 2/4

1 1/2

Step-by-step explanation:

3 x 2/4 = 3/2 or 1 1/2

6/4 reduces to 3/2 as factors of 2

1 2/4 simplifies to 1 1/2

1 1/2 is equal to 3/2

Answer your looking for is A, C and D

How do you prove triangles are congruent using ASA?

Answers

You must find the corresponding parts of the two triangles first. Then, you must find the angle measure of one pair of corresponding angles. You would then find the length of a pair of corresponding legs or sides in between the two angles. Lastly, you would need to find the angle measure of another pair of corresponding angles.

If you have a corresponding pair of congruent angles, a pair of congruent, corresponding sides, and another pair of congruent, corresponding angles, then both triangles are congruent.

Here’s an example:

Notice that the triangle’s side is in between the two angles; this is required when using ASA.

How do you check continuity of a function?

Answers

Continuity of a function can be checked by examining the limits of the function as x approaches a certain value and ensuring the function's output is equal to the value of the function at that point.

Continuity of a function is an important concept in calculus and other branches of mathematics. In order to check the continuity of a function, the limits of the function must be examined as x approaches a certain value. This means that the left-hand limit and the right-hand limit must be equal. If the limits are equal, then the function is continuous at that point. If the limits are not equal, then the function is not continuous at that point. Additionally, the value of the function at that point must also be equal to the limits in order for the function to be continuous. If the function is discontinuous at any point, then it is not considered continuous. Continuity is necessary for certain properties of functions, such as derivatives and integrals, to be defined.

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15. If l//m, find the measure of each angle.

Answers

If q ║ r, value of x is 17.

Define alternate exterior angle.

When a transversal connects two or more parallel lines at different locations, alternate exterior angles are created. The word exterior refers to something that is located outside. Whenever the transversal intersects two lines, alternate external angles are always outside of those two lines and are situated on the opposing sides of the transversal. As a result, the pair of alternate external angles—two outside angles—that arise at the opposing ends of transversals in the exterior section are always equal. When a transversal splits two parallel lines, we obtain two of these pairs of alternate exterior angles.

Given

q ║ r

Alternate exterior angle,

7x - 10 = 9x - 44

9x - 7x = 44 - 10

2x = 34

x = 17

If q ║ r, value of x is 17.

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What does it mean more than 2?

Answers

More than 2 in mathematical expression is written as >2.

The relationship between two quantities can be described using comparison terms. There are primarily three comparison terms: more than (>), less than (<), and equal to (=).

More than (>): When one quantity is greater than the other quantity, we use “more than”. For example, 5 > 3.

Less than (<): When one quantity is less than the other quantity, we use “less than”. For example, 8 < 10.

Equal to (=): When two quantities are the same, we use “equal to”. For example, 15 = 15.

More than 2 means, greater than but not including 2, which is written as >2

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plssss answer thiss!!!!

Answers

Answer:

A = 3

B = 6

C = 4

D = 5

left rectangle = 4 x 6 = 24

mid = 5 x 6 = 30

right = 6 x 3 = 18

both triangles = 4 x 3 = 12

24 + 30 + 18 + 12

= 84 cm²

Answer: 84

Step-by-step explanation:

just give me the straight answers for 1-6

Answers

Answer:

1. y=x    2. x=4   3. y=3x-10   4. y=-2/5x-1/5    5. y=-8x-13    6. y=-x+3

Step-by-step explanation:

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What is the area? pleaseee helppppp Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $2.15 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent. How did the eastern question affect the austro hungrarian empire? A farmer is building a fence to enclose a rectangular area against an existing wall. Three of the sides will require fencing and the fourth side is a wall that already exists. If the farmer has 148 feet of fencing, what is the largest area the farmer can enclose? Helpppppppp plsss ASAP math look at picture for details a person who is at least 65 years old is considered a senior citizen write an inequality that represents this situation. Let a represent the persons age Part A: Create an example of a polynomial in standard form. How do you know it is in standard form? (5 points)Part B: Explain the closure property as it relates to polynomials. Give an example. (5 points) What should you do if you think you have broken your sternum (This is not a homework question) I need an Answer. ASAP (It's a bit paining for me too and also pls tell me how to control the pain) 3V360Find the values of x and y. Write your answers in simplest form.X=y= The genetic code is:*Choose all that applyGroup of answer choicesredundant, with more than one codon for some amino acids.uambiguous in that any codon for one amino acid does not code for any other amino acid.nearly universalthe genetic code is shared by organisms from the simplest bacteria to the most complex plants and animalswithout punctuation in that codons are adjacent to each other with no gaps in between PLEASE HELP WILL MARK BRAINLIEST True or False? Nathalie is disappointed that Ins' brother is getting married. What would be an example of the pathway a plastic bag thrown on the ground in eastern Washington could end up in the Pacific Ocean? Which Chinese invention is still used for recording and transmitting the written word The painting shown at the right has an area of 220. What is the value of x? How many cubic feet of water are in the pool? Which of the following is equal to 49x281?(7x9)2(x+9)(x9)(7x+9)(7x9)(7x+9)2 Mexican dictator Porfirio Diaz inspired a revolution in 1910 by using his power tolimit democracy and freedoms.limit the church and the wealthy.expand democracy and freedoms.expand liberal reforms and rights. A statement and a proposed negation are given below. Statement: The product of any irrational number and any rational number is irrational. Proposed negation: The product of any irrational number and any rational number is rational. Which of the following correctly describes the relation between the statement and the proposed negation? The proposed negation is correct. The proposed negation is not correct. A possible correct negation would be: There is not an irrational number and a rational number whose product is rational. The proposed negation is not correct. A possible correct negation would be: There does not exist an irrational product of any irrational number and any rational number. The proposed negation is not correct. A possible correct negation would be: There is an irrational number and a rational number whose product is rational. The proposed negation is not correct. A possible correct negation would be: There exists an irrational product of an irrational number and a rational number. PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED