7) A coat is selling for 3/4 of the original price. The sale price is $180. Write and solve
an equation to determine what the original price of the jacket is.

The algebra properties are as follows: associative property , distributive property, identity property, inverse property.

As given in the question,

Properties of the algebra are as follow:

1. Associative property :

Let a, b, c be the three expressions

a. For addition:

( a + b ) + c = a + ( b + c )

b. For multiplication :

a × ( b × c ) = ( a × b ) × c

2. Distributive property:

Let a, b, c be the three expressions

For multiplication over addition:

a ( b + c ) = ab + ac

3. Identity property:

a. For addition:

a + 0 = a

b. for multiplication :

a × 1 = a

4. For inverse

For addition:

a + ( -a ) = 0

For multiplication:

a × ( 1 /a) = 1

Therefore, the four properties of the algebra are associative property , distributive property, identity property, inverse property.

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The coordinates of the triangle after dilation are A'(48, 72), B'(48, 144) and C'(96, 72).

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

Every dilated image are similar figures to the original figure.

Assume that the dilation is about the origin.

When a point (x, y) is dilated with k, then new coordinates are (kx, ky).

A(4, 6) after dilation become (4 × 12, 6 × 12) = A'(48, 72)

B(4, 12) after dilation become (4 × 12, 12 × 12) = B'(48, 144)

C(8, 6) after dilation become (8 × 12, 6 × 12) = C'(96, 72)

Hence the coordinates after undergone dilation are A'(48, 72), B'(48, 144) and C'(96, 72).

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The answer choices which represent equations which model the total yards of fabric Sophie will buy is; x + y = 28, 28 - x = y and 28 - y = x.

As evident in the attached table, where x represents the yards of red fabric she buys and y represents the yards of blue fabric she buys.

It follows that the following x and y pairs are possible; (1, 27), (2, 26), (3, 25) and (4, 24).

On this note, it can be inferred that in each of the red and blue fabric pairs; x + y = 28.

Consequently, the required equations which model the total yards of of fabric Sophie will buy are; x + y = 28, 28 - x = y and 28 - y = x.

Complete question; The given answer choices are; x+y=28, 28+x=y, x-y=28, 28-x=y and 28-y=x.

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Answer:

x+y=28
28-x=y
28-y=x

Answer:

The answer would be g(x) = -4|x| - 3

Step-by-step explanation:

With transformations involving translating an absolute value function down, the translation would be outside the absolute value and is negative (since we're moving the entire graph down). As the transformation occurs after the graph is already reflected, the translation will not be affected by the reflection.

Answer: ok what do you need help with

Step-by-step explanation:

i need the material to help you

Answer:

Step-by-step explanation:

i got you step 1 step 2 step 3 step 4 answer is c

The required expression would be 25/4 for the given expression (2/5)⁻².

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in the question, as follows:

(2/5)⁻²

We have to rewrite [tex](2/5)^{-2}[/tex] without an exponent.

As per the question, we have

(2/5)⁻²

This can be also rewritten as:

1/(2/5)²

1/[(2/5)×(2/5)]

1/(4/25)

Reciprocal the term in the denominator, and we get

25/4

Thus, the required expression would be 25/4.

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The value of x in the quadrilateral is 23.

A quadrilateral is a polygon with 4 sides. The sum of interior angles in a quadrilateral is 360 degrees.

The sum of external angles of any polygon, irrespective of the number of sides is 360∘.

Therefore, the value of x of the quadrilateral can be found as follows:

6x + x + 16 + 3x - 1 + 5x = 360

combine like terms

6x + x + 3x + 5x + 16 - 1 = 360

15x = 360 - 15

15x = 345

divide both sides by 15

x = 345 / 15

x = 23

Therefore, the value of x is 23.

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The graph is shown below.

===================================================

Explanation:

Part A)

x² is the same as x^2

The function f(x) = 10x^2-10x is the same as y = 10x^2-10x

Compare this to the template y = ax^2+bx+c to find the following

The value of 'a' is positive, which means the parabola opens upward. Furthermore, it tells us that the graph has a lowest point. There is no highest point since both parts of the parabola go upward forever.

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

Part B)

We'll use the values of 'a' and b found earlier to get...

h = -b/(2a)

h = -(-10)/(2*10)

h = 10/20

h = 0.5

The min value therefore occurs when x = 0.5, which is the x coordinate of the vertex. The vertex being (h,k)

To find the value of k, we plug x = 0.5 into the original function.

y = 10x^2-10x

y = 10(0.5)^2-10*0.5

y = -2.5

This is the smallest the output y values can get. Therefore, it is the minimum value.

The vertex is located at (h,k) = (0.5, -2.5)

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

Part C)

With any quadratic function, the domain is "set of all real numbers". We don't have to worry about things like...

And so on.

The range is [tex]\text{y} \ge -2.5[/tex] since we found y = -2.5 to be the smallest y value possible. See part B above. So either y = -2.5 or y > -2.5

Check out the graph below. I used GeoGebra to make it, but you could use Desmos or other similar graphing tools if you prefer.

The value of the mathematical expression is 2x + 1/2

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

A mathematical expression

The mathematical statement is give as

Subtract (5x + 1/3) - (3x - 1/6)

When this is represented as an expression

We have the following representation

(5x + 1/3) - (3x - 1/6)

Open the brackets

So, we have the following representation

5x + 1/3 - 3x + 1/6

Collect the like terms

So, we have the following representation

5x - 3x + 1/3 + 1/6

Evaluate the like terms

2x + 1/2

Hence, the expression is 2x + 1/2

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Answer: 6

Step-by-step explanation: you subtract the one time fee($16) from the 100 then divide the rest by the cost of a one month membership($14)

The correct option is B) definition of a right angle.

A triangle is a regular polygon, with three sides and the sum of any two sides is always greater than the third side. This is a unique property of a triangle. In other words, it can be said that any closed figure with three sides and the sum of all the three internal angles is equal to 180°.

Given here:

Angle B is a right angle and a right angle is always equal to 90

Hence, The correct option is B) definition of a right angle.

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Answer:

b! hope this helps

Step-by-step explanation:

Answer: Depending on you mean I have answers for them so I hope one of them is for what your looking for.

Answer:

Step-by-step explanation:

Use the speed formula:

[tex]s = \frac{d}{t}[/tex]

The runner travelled 1 yard in 6  minutes.

[tex]s = \frac{1\:yard}{6\:minutes}\\s = 0.166...7[/tex]

Hope this helps!

The number of boys who should be at camp with 20 counselors will be 250 boys.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

At Laura's summer camp, there were 200 boys and 16 counselors. Then the rate is given as,

Rate = 200 / 16

Rate = 12.5 boys per counselor

At this rate, the number of boys should be at camp with 20 counselors will be given as,

⇒ 12.5 x 20

⇒ 250 boys

The number of boys is 250 boys.

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The expression (x+9) (x+3) ​in the simplified expanded form will be x² + 12x + 27.

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.

The expression is given below.

⇒ (x+9) (x+3) ​

Simplify the expression, then we have

⇒ (x+9) (x+3) ​

⇒ x (x+3) ​+ 9(x+3) ​

⇒ x² + 3x + 9x + 27

⇒ x² + 12x + 27

The expression (x+9) (x+3) ​in the simplified expanded form will be x² + 12x + 27.

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A table of values basically lists the values of y for the given line given the values of x.

A table of values is a graphic organizer or chart that enables you to choose two or more points from which to make your graph.

Here is an illustration of a table of values for the equation y = 2x + 1.

Put x = 0, y = 1

Put x = 1, y = 3

The method to solve table of values are-

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Answer:

Table of Values of a Function displays the table of values for the given function.

Step-by-step explanation:

The procedure to use the table of values of a function calculator is as follows:

Step 1: Making a table of values allows you to graph a line using a slope-intercept form equation.

Step 2: To determine the coordinate point's corresponding y-values.

Step 3: Choose a few x values and enter those values into the equation.

Step 4: Create a graph and plot the points.

To draw the line, join the points together.

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Answer:

x² +y² = 73

Step-by-step explanation:

x - y = 5    ; xy = 24

      [tex]\sf \boxed{\bf x^2 + y^2 = (x -y)^2 + 2xy}[/tex]

                     = 5² + 2*24

                     = 25 + 48

                     = 73

Reason:    

x² + y² = (x - y)² + 2xy

          = x² + y² - 2xy + 2xy   {(x - y)² = x² +y² - 2xy}

          = x² + y²

Based on the Pareto analysis, the set of brands which contributes most to the profit , i.e., about 80% is Adidas , Hyperlite ,mongoose , Schwinn and aquaronotman.

Pareto analysis is based on the idea that 80% of a project's benefit can be achieved by doing 20% of the work . In bigger business firms it is taken as a powerful tool for quality maintenance and decision-making .We can say that ,it is a method used for getting the required facts and information needed for setting priorities.

Thus , we can say that it is a technique used in business decision-making, but it also be used in welfare economics . It is based on the "80-20 rule." Pareto analysis, as a decision-making technique, statistically distinguishes a small number of input factors , either good or undesirable that have the largest impact on an output.

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According to the mathematical notations, we can say that in this case, Antonhy's reasoning is incorrect, because the expression abc is only one term and not three as he stated.

It corresponds to a term that has letters and numbers, which are separated only if there is a mathematical sign between them, such as the plus or multiplication sign, for example, to be an expression of three terms, the expression should be like this:

Therefore, we can consider that the term abc corresponds to a monomial, as it is only one term in an expression, and not three as supposed by Anthony.

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Answer:I often do is just see how many terms in there if is only have two that will be Binomial, if it was three therm I will just think that probably trinomial, only have one that will be the monomial, more than 3 term i will think it just polynomials.

The derivative of y with respect to x (Dy/Dx) can be found by using implicit differentiation and is equal to (x/y)(Dx/Dx) / (3y - x - y).

The given equation is x/y + y/x = 3y.

To find the derivative of y with respect to x (Dy/Dx), we will use implicit differentiation.

First, we will take the derivative of both sides of the equation with respect to x:

(1/y) * (Dy/Dx) + (1/x) * (Dy/Dx) + (y/x^2) * (Dx/Dx) = (3)(Dy/Dx)

We can simplify this expression by combining the terms with Dy/Dx and Dx/Dx:

(Dy/Dx)(1/y + 1/x + 3) = (y/x^2)(Dx/Dx)

Now we can solve for Dy/Dx by rearranging the equation:

Dy/Dx = (y/x^2)(Dx/Dx) / (1/y + 1/x + 3)

Finally, we can plug in our known values and solve for Dy/Dx:

Dy/Dx = (x/y)(Dx/Dx) / (3y - x - y)

Therefore, the derivative of y with respect to x (Dy/Dx) can be found by using implicit differentiation and is equal to (x/y)(Dx/Dx) / (3y - x - y).

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Answer:

yes, it is linear

Step-by-step explanation:

the x is +3 to each one, and the y is -1 to each one, this keeps it linear

"Complete table of 5" refers to a multiplication table containing all products of the number 5 multiplied by integers from 1 up to a specified maximum value.

Here is an example of 5 complete tables:

5x1=5

5x2=10

5 x 3 = 15

5 x 4 = 20

5 x 5 = 25

5 x 6 = 30

5 x 7 = 35

5x8=40

5 x 9 = 45

5 x 10 = 50

In this example, the maximum multiplier value is 10, but a full table of 5 can continue with any number of rows. This table will help you remember the facts about multiplication by 5 and identify patterns for multiples of 5.

Note that if you're looking for a way to compute the product, you can use a loop or function that takes the maximum value of the multiplier as input and outputs the full table of 5.

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In Number line, -4  is the opposite of the opposite of point D.

What does a math number line mean?

Number lines in mathematics are horizontal straight lines on which numbers are arranged in equal intervals. A number line can be used to represent every number in a sequence. Both endpoints of this line continue indefinitely.

                         The terms "number line" and "number grid" both refer to horizontal straight lines with numbers arranged along them at equal intervals. Some will have a defined beginning and end.

 Value of D = 4

   Opposite of point D = -4

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Answer:

[tex]t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} [/tex]

The shortest distance between planet Q and planet R is 1.64 * 10⁷ km

An equation is an expression that shows the relationship between variables and numbers.

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It is given as:

hypotenuse² = adjacent² + opposite²

From the diagram, QR is the shortest distance between planet Q and planet R. Hence using Pythagoras:

QR² = QP² + PR²

QR² = (3.6 * 10⁶)² + (1.6 * 10⁷)²

QR = 1.64 * 10⁷ km

The shortest distance is 1.64 * 10⁷ km

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