PLEASE HELP I NEED ANSWER AND STEPS TO THIS

There are 720 possible dinner specials.

To calculate the number of dinner specials, we need to multiply the number of options for each course.

The number of dinner specials is the product of the number of options for each course:

So,

3 x 3 x 4 x 5 x 4 = 720 possibilities

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The volume of the rectangular prism is 521.65cubic feet

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

The volume of a prism is the product of the area of the base and the height of the prism. Prism volume (V) = B × h, where, B is the area of the base and h is the height of the prism.

Base area = 7.2×6.9 = 49.68 square feet

height = 10.5 feet

Volume of the prism = 10.5× 49.68

= 521.64 cubic feet

Therefore the volume of the rectangular prism is 521.64 cubic feet.

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Both eggs and chicken are found in a salad. The salad contains a combined 6 pounds of chicken and eggs. There is twice as much chicken as eggs in it. The equations for the salad system are x+2y=6.

A set of one or more equations comprising numerous variables is referred to as a system of equations. The variable mappings that satisfy all component equations are the solutions of systems of equations, or the points where the components of these equations overlap. Graphing, the substitution method, and the elimination method are the three methods for solving systems of linear equations in two variables.

Graphing, substitution, elimination, and matrices are the four ways to solve systems of equations. equations simultaneously, or a system of equations Multiple equations in algebra must be solved concurrently (i.e., the solution must satisfy all the equations in the system). There must be an equal number of equations and unknowns for a system to have a singular solution. There is no certainty of a solution even then.

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Answer :

To find the equation of the line containing the median that passes through point C, we first need to find the midpoint of segment AB. The coordinates of A and B are given as (-4, -2) and (4, 4) respectively, so we can find the x-coordinate of the midpoint by averaging the x-coordinates of A and B, and the y-coordinate of the midpoint by averaging the y-coordinates of A and B.

The midpoint is:

((-4+4)/2, (-2+4)/2) = (0, 1)

To find the slope of the median we will use the point slope form, which is:

y - y1 = m(x - x1)

We know that point C is (18, -8), and the midpoint is (0, 1)

The slope (m) will be:

m = (y2 - y1) / (x2 - x1) = (-8 - 1) / (18 - 0) = -9/18

We can now use point slope form and substitute the point and the slope:

y - (-8) = (-9/18) (x - 18)

To convert it to slope-intercept form we will solve for y:

y = (-9/18)x + (8/9 + 18/9) = -1/2x + 2

The equation of the line containing the median that passes through point C in slope-intercept form is y = -1/2x + 2

Answer:

i think = (sorry of it's wrong or what)

Answer:

67 83/1000 > 77/8300 is easy

Formula which represents the partitioning of the given line segment is given by :

Internal partition is : [(mx₂ + nx₁)/ ( m + n), (my₂ + ny₁)/ ( m + n)]

External partition is : [(mx₂ - nx₁)/ ( m - n), (my₂ - ny₁)/ ( m - n)]

As given in the question,

Let PQ be the line segment.

Its coordinate are :

P (x₁ , y₁) and Q (x₂ , y₂)

If the partition of the line segment divided internally in the ratio m : n then its coordinate ( x, y) given by :

( x ,y ) = [(mx₂ + nx₁)/ ( m + n), (my₂ + ny₁)/ ( m + n)]

If the partition of the line segment divided externally in the ratio m : n then its coordinate ( x, y) given by :

( x ,y ) = [(mx₂ - nx₁)/ ( m - n), (my₂ - ny₁)/ ( m - n)]

Therefore, the formula representing the partition of the line segment are:

Internal partition is : [(mx₂ + nx₁)/ ( m + n), (my₂ + ny₁)/ ( m + n)]

External partition is : [(mx₂ - nx₁)/ ( m - n), (my₂ - ny₁)/ ( m - n)]

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A ratio of two integers where the denominator is not 0 is a valid ratio.

What is denominator ?

A denominator is the number that appears below the line (or fraction bar) in a fraction, such as a/b. It is the number that is being divided by the numerator, which is the number that appears above the line. The denominator can be any number, including negative numbers, zero and fractions.

A ratio of two integers where the denominator is not 0 is a valid ratio. Ratios are used to compare the size of two or more quantities and are written as a:b or a/b, where a and b are integers. The denominator is the number on the bottom of the fraction and it should not be zero, as it would create an undefined value. When the denominator is not zero, the ratio can be simplified or used to compare the size of the two integers.

A ratio of two integers where the denominator is not 0 is a valid ratio.

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-7 open parentheses -4 close parentheses times 18 is 504, it looks like -7(-4)18

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

A statement;-7 open parentheses -4 close parentheses times 18

Here, open parentheses means '(' and close parentheses means')'

So, it means;

-7(-4)18

Its value;-7(-4)18

=28x18

=504

Therefore, the algebra value will be 504 and stated as -7(-4)18.

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don't forget to make brainalist and keep smiling

The probability that we will roll exactly one number exactly three times is 125/7776.

Given a fair die is rolled six times.

A fair die has 6 faces, hence, the sample space will be {1, 2, 3, 4, 5, 6}

So, on rolling a die thrice, the number of elements in sample space is

6⁶ = 46,656

Let us assume that the die in the first roll shows 3, hence the second die and third die can show any of the other 5 numbers.

First, the probability of rolling a single value (in this case 3) on a fair 6-sided die would be one out of six = 1/6

The probability of NOT rolling that number would be five out of six.

Let P be the probability of getting 3 only once

P= 1/ 6 × 1/6 × 1/6 × 5/6 × 5/6 × 5/6 = 125/46656

The number 3 can be showed in any of the six dies at a time

Hence required probability ,

= 125/46656 + 125/46656 + 125/46656 + 125/46656 + 125/46656 + 125/46656  

= 750/46656

P = 125/7776

Therefore, the probability that exactly one 3 is rolled is 125 / 7776.

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The common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x.

The Maclaurin series for h(x) = 1/(1-x) is an infinite geometric series with the general term given by:

h(x) = x⁰ + x¹ + x² + x³ + ...

The nth order Maclaurin series for h(x) = 1/(1-x) is the sum of the first n terms of this infinite series. The common ratio of a geometric series is the ratio of any term to the previous term.

In this case, each term is the previous term multiplied by x, so the common ratio is x.

It's important to note that the Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero, in this case, when x is zero, the function becomes 1/(1-0) = 1, the function is equal to 1 when x=0.

In conclusion, the common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x. It's the ratio of any term to the previous term, and it's the same for all the terms in the series.

The Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero.

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Answer:

Step-by-step explanation:

adult ticket = x   student ticket = y

3y + 1x=38

3y + 2x = 52

Simplify the first equation to get x by itself

3y + 1x = 38

-3y         - 3y

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

1x = 38 - 3y

Now put the equation for x into the second equation and solve for y

3y + 2(38 - 3y) = 52

3y +76 - 6y = 52

-3y + 76 = 52

-3y = 52 - 76

-3y= - 24

y = 8

So the student ticket costs $8

Plug the value for y back into the original equation.

3y + x = 38

3 x 8 +x = 38

24 + x = 38

so x = 14

a student ticket is $8 and an adult ticket is $14

you can check your work

3(8) + 14 = 38

An effective structure for the conclusion paragraph of an argumentative essay include the following: C. Concluding transition. Rephrased claim. Summary of the big ideas. Clincher.

In English literature, an argumentative essay can be defined as a type of literary work that is typically written to express and indicate a writer's or speaker's position (stance) on a subject matter (topic).

In English literature, a clincher can be defined as a final sentence or concluding statement of a chapter, paragraph, essay, or article (literary work) which is written to make a final observation on the subject matter (topic) and leaves a lasting impression on the readers.

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Answer: the answer is C.

Step-by-step explanation:

Conclusion transition, Rephrase claim, Summary of the big ideas and Clincher.

We can write the age of each brother as -

Given is that Larry's age can be represented by {3x} and his brothers age by {2x - 5}.

We can write the age of each boy 2 years ago as -

Larry's = {3x - 2}

Larry's brother's age = {2x - 5} - 2 = {2x - 7}

Therefore, we can write the age of each brother as -

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Answer:

Step-by-step explanation:

-3x + 18y = -12

3x - 18y = 4

0 ≠ -8

no solution

A polygon with n sides has an angle total of 2880, as is known.The nth side's count must be determined.This means that a polygon has 18 sides.

A polygon with n sides has an angle total of 2880, as is known.The nth side's count must be determined.This means that a polygon has 18 sides.

A polygon is a closed, two-dimensional, flat shape with straight sides that is bound by geometry.The sides of it are not curled.

Polygonal edges are another name for the sides of a polygon.

For example ,

The vertex (or corner) of a polygon is the place where two sides come together. 18° × n = 360°

n = 360/18 = 20

20 sides make up the polygon.

The total amount of interior angle measurements will be...

sum of interior angles: 20(180° -18°) = 3240°

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a) The exponential function for the situation is V(t) = 60000(0.9)^t.

b) After 6 years the value of the equipment will be $31886.46.

c) The price of the equipment will be half of its original price after 6.6 years.

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The price of weaving equipment = $60000.

The depreciation rate per year = 10%

The depreciation value will be -

= (1 - 10%)

= 1 - (10/100)

= 1 - 0.10

= 0.9

Let the time in years be measured in t.

The equation for value after t years will be -

V(t) = 60000(0.9)^t

This is an exponential equation.

To find the value of equipment 6 years after purchase, substitute the value of t = 6.

V(t) = 60000(0.9)^t

V = 60000(0.9)^6

V = 60000 × 0.531441

V = 31886.46

Therefore, the value of equipment will be $31886.46.

To find the time at which the value of the equipment will be half its price, substitute the value of V(t) = 30000.

V(t) = 60000(0.9)^t

30000 = 60000(0.9)^t

(0.9)^t = 60000/30000

(0.9)^t = 2

t ln (0.9) = ln (2)

t =  ln (2)/ln (0.9)

t = 0.301/0.0457

t = 6.58 ≈ 6.6

Therefore, after 6.6 years the value of the equipment will be $30000.

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The equation of the linear relationship in slope-intercept form is y = -6x + 303.

Slope intercept is an equation used to describe the relationship between an independent and dependent variable. It is written in the form y = mx + b, where m is the slope, x is the independent variable, and b is the y-intercept. The slope intercept equation can be used to draw a line on a graph, which can then be used to make predictions about the dependent variable given a certain value for the independent variable.

The equation of the linear relationship in slope-intercept form can be determined by looking at the table. The slope of the linear relationship is given by the change in y for a given change in x, which in this case is -6. The intercept can be determined by looking at the y-value when x is 0, which in this case is 303. Therefore, the equation of the linear relationship in slope-intercept form is y = -6x + 303.

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Answer:

x = 2.5

Step-by-step explanation:

4(x+7)=38

4x + 28 = 38

4x = 10

x = 2.5

Let's check

4(2.5 + 7) = 38

4( 9.5) = 38

38 = 38

So, x = 2.5 is the correct answer.

A graph of y=2 look like the picture attached below

Any equation that can be rearranged into the form y = 2, will have a straight line graph. The collection of points that make up the equation's graph are its solutions.Y=mx+c, where m is the slope and c is the y-intercept, is your equation in slope intercept form.

The slope is m=0 and the y-intercept is c=2 in the slope intercept form of the equation y=2. The graph of the equation is given by y=0x+2. and the graph is a horizontal line with y values that are all equal to two.

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When the polynomial 2x³ - 3x² + 4x + 7 is divided by x - 2 we get the remainder 19.

The given polynomial is 2x³ - 3x² + 4x + 7.

First we choose a term to multiply with the first term of the divisor such that we get the first term of the polynomial:

(x)(2x^2) = 2x^3

Thus, we multiply the divisor (x-2) by 2x^2 which gives 2x^3 - 4x^2

Now we subtract this from the polynomial which gives x^2 + 4x + 7.

Next we multiply the divisor by x which gives x^2 - 2x. Subtracting the same from x^2 + 4x + 7 we get 6x + 7.

Now we multiply the divisor with 6 to get 6x - 12. Subtracting it from the remaining polynomial 6x + 7 leaves the remainder 19.

The question is incomplete, the complete question is:

When the polynomial 2x³ - 3x² + 4x + 7 is divided by x - 2 The remainder is?

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The area of the actual parallelogram will be the same as the area of the parallelogram on the map.

Area is the measure of the size of a two-dimensional surface or shape. It is usually expressed in square units such as square feet, square meters, or square kilometers. It is a fundamental concept in mathematics and is used in many different fields, such as geometry, architecture, engineering, engineering design, and physics. Area can be calculated using a variety of methods, such as the use of formulas, algorithms, and calculators. It is also used in everyday life, such as to calculate the size of a room, the amount of paint needed to cover a wall, or the amount of land needed for a garden.

This is because the map is a scaled representation of the actual parallelogram, meaning the ratio of the sides of the map parallelogram to the actual parallelogram is the same. Therefore, the area of the actual parallelogram is also 5 cm². In other words, if one unit on the map represented one unit on the actual parallelogram, then the area of the map parallelogram is the same as the area of the actual parallelogram.

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The degree of the polynomial x³ 9x² 3x 5 is 3. The degree of a polynomial is the highest power of the variable in the polynomial. In the polynomial x³ 9x² 3x 5, the highest power of the variable is 3, which means that the degree of the polynomial is 3.

The degree of a polynomial is the highest power of the variable in the polynomial. In the polynomial x³ 9x² 3x 5, the highest power of the variable is 3, which means that the degree of the polynomial is 3.

The degree of a polynomial is the highest power of the variable present in the polynomial. In the polynomial x³ 9x² 3x 5, the highest power of the variable is 3, which means that the degree of the polynomial is 3. This can be easily determined by looking at the highest exponent of the variable in the polynomial. The degree of the polynomial indicates the complexity of the polynomial and the number of solutions it has. It is important to know the degree of a polynomial as it is necessary to determine the number of terms in the polynomial, the type of polynomial, and its root values. Knowing the degree of a polynomial also helps in determining the type of graph that the polynomial will produce. Furthermore, the degree of a polynomial can also be used to determine the number of turning points and the behavior of the graph. Hence, the degree of a polynomial is an important concept and needs to be understood in order to solve polynomials effectively.

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Minutes it will take the tank to drain completely is 3.88.

There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity

To find the rate =(the time the water takes to leave the tank)/ (the amount of water leaving the tank)

Jada saw 9 gallons of water leave the tank in five minutes.  ( The two gallons was obtained from 16-7 = 9)

The rate at which the tank is being emptied is  9 gallons/5 minutes = 1.8 gallons per minute;

For the tank to be empty, it has to lose all 7 gallons of water it has;

1 minute 1.8 gallons are lost

x minutes 7 gallons are lost

By solving;

x = 7/1.8 = 3.88 minutes

Hence, the time taken at the rate will be 3.88 minutes

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Answer:

13/99

Step-by-step explanation:

Answer: 13/99

Step-by-step explanation:

The volume of the box in shape of a rectangular prism is solved to be

716 inches³

Three-dimensional object with six faces is called a rectangular prism (two at the top and bottom and four are lateral faces).

The prism has rectangular-shaped faces on each side. As a result, there are three sets of matching faces in this picture. Rectangular prisms are sometimes known as cuboids due to their shape.

In the given problem the formula used for volume of prism is

= length * width * height

= 358 * 1/2 * 4

= 716 inches³

The prism has a volume of 716 inches³

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The volume of the rectangular prism with a length of 358 inches, width of 1/2 inches and a height of 4 inches is 716 in³.

The volume of a rectangular prism is expressed as;

V = w × h × l

Where w is width, h is height and l is length.

Given that;

Plug the given values into the above formula and simplify.

V = w × h × l

V = 1/2 in × 4 in  × 358 in

V = 716 in³

Therefore, the volume of the box is 716 in³.

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Tammy needs to sell total 26 t-shirts in order to make a profit of $51.

Let, total number of t-shirts sold by Tammy= x

since, she made $3 for each t-shirt.

therefore, total profit made by selling x t-shirts= $3x

therefore, Net Profit= (Total Profit made by selling t-shirts)- (total expenditure)

            $51=$3x-$27

           ∴ $3x= $51+$27=$78

           ∴x =$78/$3=26

Therefore, Tammy needs to sell total 26 t-shirts in order to make a profit of $51.

Hence, the answer is 26.

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The solutions to the equation 2xy - 10x = 9 are x = 1/2 and y = 5, and x = 9/2 and y = 6.

The equation 2xy - 10x = 9 can be written as 2xy - 10x - 9 = 0.

This equation can be factored as (2x - 1)(y - 6) = 0.

From this, we can see that the solutions to this equation must satisfy either 2x - 1 = 0 or y - 6 = 0.

If 2x - 1 = 0, then x = 1/2. Substituting this into the original equation yields 2 × 1/2 × y - 10 × 1/2 = 9, which simplifies to y - 5 = 0. Thus, a solution is x = 1/2 and y = 5.

If y - 6 = 0, then y = 6. Substituting this into the original equation yields 2x × 6 - 10x = 9, which simplifies to 12x - 10x = 9, or 2x = 9. Thus, a solution is x = 9/2 and y = 6.

Therefore, the solutions to the equation 2xy - 10x = 9 are x = 1/2 and y = 5, and x = 9/2 and y = 6.

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The entire amount that Cameron must pay for the origination fee and discount points is $17221.25.

As per the details share in the above question are as bellow,

The details provided are as follow,

Cameron bought a property that went for $317,000 in the market.

Cameron secured a $299,500 mortgage.

The bank assessed an origination fee of 2.75 points and a discount point charge of 3.0 points.

How much did Cameron have to pay in total for the discount points and origination fee?

Origination and discount fees are based on the amount of the mortgage that is received; 1 point is equal to 1% of the loan amount.

As a result, there is an origination charge and discount points. = 299500*(2.75+3)%

= 299500*5.75%

= $17221.25

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Answer:

882 adults, 252 teenagers, and 441 children under 12

Step-by-step explanation:

56% of 1575 is 882 and 16% of 1575 is 252. To get the percentage of children under 12, you have to add 56% and 16% which is 72%. 100%-72%=28%. 28% of 1575 is 441.