The difference of 3 times a number and 12 is -24.
Write and solve an equation to find the number.

Answer to the nearest thousandth; 437.968 ÷ 2.8 ≈ 156.417

We are to evaluate 437.968 ÷ 2.8 by dividing the given value by 2.8 and rounding off the answer to the nearest thousandth.

Therefore, Dividing 437.968 by 2.8 gives us: 437.968 \div 2.8 = 156.41714285714286

Now, rounding off to the nearest thousandth gives the answer as 156.417

Learn more about rounding off here:

https://brainly.com/question/24234983

#SPJ11

1. Using the mathematical operations of addition and multiplication, the number of polka dots that are in Polly's room is 130.

2. An expression representing the situation and solution is x + 2y + 4z + 15.

An expression is a mathematical statement combining variables, constants, numbers, and values with mathematical operands.

The mathematical operands for performing mathematical operations include addition (+), subtraction (-), multiplication (x), and division (÷).

The number of polka dots on the bedspread, x = 25

The number of polka dots on two pillows, 2y = 10 (5 x 2)

The number of polka dots on 4 sets of curtains, 4z = 80 (4 x 20)

The number of polka dots on 3 rugs = 15

The total number of polka dots in Polly's room = 130

Let x = 25, y = 5, and z = 20

x + 2y + 4z + 15

x + 2y + 4z + 15

= 25 + 2(5) + 4(20) + 15

= 25 + 10 + 80 + 15

= 130

Learn more about mathematical expressions at https://brainly.com/question/1859113.

#SPJ1

Answer:

1440.1 in^2

Step-by-step explanation:

I drew a picture with work; hopefully this is the equation you're using in the lesson.

Answer:

If real GDP in a particular year is $80 billion and nominal GDP is $240 billion, the GDP price index for that year is: 300.

Step-by-step explanation:

Answer:

n = 9

Step by step solution:

n - 14 = -5

+14 +14

_________

n = 9

Answer:

$750

Step-by-step explanation:

2500 divided by 100 = 25 and 25 x 30 = 750

Sorry if im wrong

The price for 2500 pencils is $750.

The unitary technique involves first determining the value of a single unit,  followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

A box of 100 personalized pencils costs $30.

So, cost of 1 pencil = $30 / 100 = 3/10

Now, the price to buy the 2500 pencils

= 2500 x 3/10

= 250 x 3

= $750

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

8

Step-by-step explanation:

Let the next number be x

'taking half the number to get the next number. is expressed as;

1/2 of 16 = x

x = 1/2 *16

x = 16/2

x = 8

hence the next number will be 8

The statements that is true about the similarity of the two triangles the option D

D. ΔMNO and ΔJKL are not similar triangles

Similar triangles are triangles which have proportional corresponding sides

The parameters in the question are;

The length of segment MN = 20

Length of segment NO = 12

Length of segment OM = 25

Measure of angle ∠O = 56°

Length of segment LJ =- 15

Length of segment JK = 12

Length of segment KL = 9

Measure of angle ∠L = 56°

Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included  angle between the two sides are congruent

The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL

However, the ratio of the sides  LK to ON and JL to MO are;

9/12 ≠ 15/25

Therefore, the triangles are not similar

The correct option is option D

Learn more about similar triangles here:

https://brainly.com/question/2644832

#SPJ1

The value of x from the given equation is 2.17.

The given equation is 34.2 = 13.4 + 9.6x.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows:

34.2 = 13.4 + 9.6x

⇒ 9.6x=34.2-13.4

⇒ 9.6x=20.8

⇒ x=20.8/9.6

⇒ x=2.17

Therefore, the value of x from the given equation is 2.17.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

The value of x in te expression 34.2 = 13.4 + 9.6x is 2.16

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given an expression 34.2 = 13.4 + 9.6x to obtain the value of x we'll separate variables and constants on the other sides.

34.2 = 13.4 + 9.6x.

9.6x + 13.4 = 34.2

9.6x = 34.2 - 13.4

9.6x = 20.8

x = 20.8/9.6

x = 2.16

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Answer:

2x radius I believe

Tell me if im wrong and I will remove this

The z-score of an appliance that failed after 64 months is 2.

To find the z-score:

The given parameters are:

The z-score is then computed as follows:

We have the following for an appliance that stopped working after 64 months:

So, the equation becomes:

Compare and contrast the differences:

Calculate the quotient:

Therefore, the z-score of an appliance that failed after 64 months is 2.

Know more about mean here:

https://brainly.com/question/1136789

#SPJ4

Answer:

y = -1/2x - 9/2

Step-by-step explanation:

The organizational chart highlights subdivisions of the company, shows lines of authority, provides information about different management levels, and identifies the different types of work performed.

It serves as a visual representation of the company's structure and hierarchy. The main purpose of an organizational chart is to provide a clear understanding of how the company is organized and how different departments and positions relate to one another.

It illustrates the various divisions, departments, and teams within the organization, showcasing the reporting relationships and lines of authority from top-level executives to front-line employees.

By displaying the management levels, the organizational chart helps employees and stakeholders understand the chain of command and who they report to. It helps clarify roles and responsibilities, facilitating efficient decision-making and coordination within the company.

The organizational chart identifies different types of work performed by showcasing different departments or units. This allows for a better understanding of the company's functional areas and the specific responsibilities and expertise of each department.

Learn more about organizational chart here:

https://brainly.com/question/28203342

#SPJ4

The equation in the form y is mx + b is: z = xy + x = 3x + 36

Given:The phone company Blurizon has a monthly cellular plan where a customer pays a flat fee for unlimited voice calls and then a certain amount per GB of data used.Cost of 12 GB is $72.Cost of 38 GB is $150.Let,The flat fee for unlimited voice calls = $ xThe cost per GB of data used = $ yMonthly Cost = $ z (dependent variable)

Hence, the equation in the form y = mx + b is z = xy + x which is the equation of a line in slope-intercept form, where m is the slope and b is the y-intercept. Here, the slope is the cost per GB of data used (y) and the y-intercept is the flat fee for unlimited voice calls (x).

So, using the given data:When the customer uses 12 GB, the monthly cost will be $72, hence72 = 12y + x 1.....(i)When the customer uses 38 GB, the monthly cost will be $150, hence150 = 38y + x 2....(ii)To get the value of y, we can eliminate the variable x using either of the above two equations:

Subtract equation (i) from equation (ii), we get,78 = 26y => y = 3So, x can be found by substituting the value of y in equation (i):72 = 12(3) + x=> x = 36Thus, the equation in the form y = mx + b is:z = xy + x = 3x + 36

To know more about form refer here:

https://brainly.com/question/29474217#

#SPJ11

The coordinates of A'', B'' and C'' are (-1, 4), (-4, 3) and (-1, 2) respectively.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

Given triangle has coordinates,

A(2, -2), B(5, -3) and C(2, -4).

First the triangle is translated by the rule (x, y) → (x - 1, y + 6)

A(2, -2) becomes A'(2 - 1, -2 + 6) = A'(1, 4).

B(5, -3) becomes B'(5 - 1, -3 + 6) = B'(4, 3)

C(2, -4) becomes C'(2 - 1, -4 + 6) = C'(1, 2)

Then the translated triangle is reflected across the Y axis.

When reflected a point (x, y) across the Y axis, y coordinate remains same and x coordinate flips.

A'(1, 4) becomes A''(-1, 4)

B'(4, 3) becomes B''(-4, 3)

C'(1, 2) becomes C''(-1, 2)

Hence the vertices of the triangle after undergoes translation and reflection becomes A''(-1, 4), B''(-4, 3) and C''(-1, 2).

To learn more about Geometric Transformations, click :

https://brainly.com/question/16156895

#SPJ1

Answer:

y = 1

x = -2

Step-by-step explanation:

1)Solve for x in the first equation, y=1/2x+2:

Subtract 2 from each side, y-2=1/2x

Multiply both sides by 2, 2(y-2)=x

Our first variable is now solved for, x=2(y-2)

2) Plug our second equation, y=-2x-3, into our solved variable:

x=2((-2x-3)-2) *we just replaced y with our second equation*

Simplify the equation, x=2(-2x-5) and then factor in the 2, x=-4x-10

Add 4x to both sides, 5x=-10

Divide both sides by 5

x=-2

3) Plug our x value into either equation (it give you the same result)

Equation 1)

y=1/2(-2)+2

y=-1+2

y=1

Equation 2)

y=(-2)(-2)-3

y=4-3

y=1

In the end you end up with x=-2, y=1!

The output of a classification system is usually a discrete value, usually a label or class, which represents the predicted result of the model.

A classification system can be expressed mathematically using a decision boundary. This boundary is defined by a decision function that maps the input data to a discrete output. The decision boundary is determined by setting a threshold for the output of the decision function, such that if the output exceeds the threshold, the predicted class is labeled as a "positive" output and if the output is below the threshold, the predicted class is labeled as a "negative" output.

The output of a regression system is usually a continuous value, which represents the predicted result of the model. A regression system can be expressed mathematically using a linear equation which maps the input data to a continuous output. The equation is determined by fitting a line to the data, such that the line best fits the data points. The value of the output is then calculated by evaluating the equation at a given point in the input data.

Learn more about regression here:

https://brainly.com/question/30011167

#SPJ4

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Let's solve ~

Calculate discriminant :

\(\qquad \sf  \dashrightarrow \: 3 {x}^{2} + 6x - 1\)

\(\qquad \sf  \dashrightarrow \: discriminant = {b}^{2} - 4ac\)

\(\qquad \sf  \dashrightarrow \: d = (6) {}^{2} - (4 \times 3 \times 1)\)

\(\qquad \sf  \dashrightarrow \: d = 36 - 12\)

\(\qquad \sf  \dashrightarrow \: d = 24\)

\(\qquad \sf  \dashrightarrow \: \sqrt {d} = 2 \sqrt{6} \)

Now, let's calculate it's roots ( x - intercepts )

\(\qquad \sf  \dashrightarrow \: x = \cfrac{ - b \pm \sqrt{d} }{2a} \)

\(\qquad \sf  \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{2 \times 3} \)

\(\qquad \sf  \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{6} \)

So, the intercepts are :

\(\qquad \sf  \dashrightarrow \: x = \cfrac{ - 6 - 2 \sqrt{6} }{6} \)

and

\(\qquad \sf  \dashrightarrow \: x = \cfrac{ - 6 + 2 \sqrt{6} }{6} \)

Answer:

\(\left( \dfrac{ -3 + 2\sqrt{3}}{ 3}, \ 0\right), \ \left(\dfrac{ -3 - 2\sqrt{3}}{ 3}, \ 0\right)\)

Explanation:

Given expression:

f(x) = 3x² + 6x - 1

Use quadratic formula:

\(\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ where \ ax^2 + bx + c = 0\)

Here after finding coefficients:

Applying formula:

\(x = \dfrac{ -6 \pm \sqrt{6^2 - 4(3)(-1)}}{2(3)}\)

\(x = \dfrac{ -6 \pm \sqrt{48}}{6}\)

\(x = \dfrac{ -6 \pm 4\sqrt{3}}{6}\)

\(x = \dfrac{ -6 \pm 4\sqrt{3}}{2 \cdot 3}\)

\(x = \dfrac{ -3 \pm 2\sqrt{3}}{ 3}\)

\(x = \dfrac{ -3 + 2\sqrt{3}}{ 3}, \ \dfrac{ -3 - 2\sqrt{3}}{ 3}\)

The equation of the tangent line to the hyperbola at the point (-4, -4) is y = (-9/7)x - 64/7.

To find the equation of the tangent line to the hyperbola at the point (-4, -4), we first need to find the derivative of the hyperbola equation with respect to x.

Differentiating both sides of the equation 2x^2 + 5xy + y^2 + 4x = 112 with respect to x: 4x + 5y + 5xy' + 2yy' + 4 = 0

Now, substitute the coordinates of the given point (-4, -4) into the equation: 4(-4) + 5(-4) + 5(-4)y' + 2(-4)y' + 4 = 0

Simplifying: -16 - 20 - 20y' - 8y' + 4 = 0

-36 - 28y' = 0

Solving for y': -28y' = 36

y' = -36/28

y' = -9/7

Now that we have the slope of the tangent line, we can use the point-slope form to find the equation of the tangent line. Using the point (-4, -4) and the slope -9/7: y - (-4) = (-9/7)(x - (-4))

Simplifying: y + 4 = (-9/7)(x + 4)

Rearranging equation to slope-intercept form: y = (-9/7)x - 36/7 - 28/7

Simplifying: y = (-9/7)x - 64/7

To learn more about hyperbola

https://brainly.in/question/55286935

#SPJ11

Answer:

y = -2 and x = 4

Step-by-step explanation:

8x + 14y = 4

-6x - 7y = -10

First, find the lowest common multiple of 8 and 6 (which is 24). Multiply the first equation by 3:

8x + 14y = 4

3(8x + 14y) = 3(4)

24x + 42y = 12

Multiply the second equation by 4:

-6x - 7y = -10

4(-6x - 7y) = 4(-10)

-24x - 28y = -40

Now, add the two equations together:

24x + 42y = 12

-24x - 28y = -40

24x + -24x = 0

42y + -28y = 14y

12 + -40 = -28

14y = -28

Divide both sides by 14:

14y ÷ 14 = -28 ÷ 14

y = -2

Plug this known variable back into the first equation:

8x + 14(-2) = 4

8x + (-28) = 4

8x - 28 = 4

Add 28 to both sides:

8x - 28 + 28 = 4 + 28

8x = 32

Divide both sides by 8:

8x ÷ 8 = 32 ÷ 8

x = 4

So y = -2 and x = 4.

Hope this helps!

Write the values in the order shown. The curly braces indicate a set.

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

Explanation:

The replacement set for the independent variable is {2,4,6,8}

This means we'll plug x = 2, x = 4, x = 6, and x = 8 into the function one at a time to find the corresponding y = f(x) value.

---------

Plug in x = 2 to find that,

f(x) = 2x+3

f(2) = 2*2+3 ... replace every x with 2

f(2) = 4+3

f(2) = 7

If the input is x = 2, then the output is y = 7. Therefore, the '2' in the domain corresponds to '7' in the range.

If you repeat those steps for x = 4, then you should find that f(4) = 11. Do the same thing for x = 6 and it should lead to y = 15. The last value in the range is y = 19 which corresponds to x = 8.

In short, the domain {2,4,6,8} corresponds to the range {7, 11, 15, 19}

Usually with sets, order doesn't matter. However, in this case, the order is important because we need to match the 2 with the 7, the 4 with the 11, etc.

Answer:

ok I will not help u, u played urself

Answer:

\(\frac{3}{7}\)

Step-by-step explanation:

I hope this helps!

Answer:

415

Step-by-step explanation:

Players no longer need commitment strategies to reach a mutually-beneficial cooperative equilibrium when games are repeated.

This is an exercise related to Game Theory.

The extended form is typically used to depict repeated games, commonly referred to as supergames, in game theory since they occur repeatedly across time.

The potential of collaborating means that we may choose to compromise in order to continue earning a payout over time, knowing that if we do not fulfill our part of the bargain, our adversary may decide not to either.

As contrast to one-shot games, recurring games provide a new set of incentives.

Learn more about Game Theory:
https://brainly.com/question/14347653
#SPJ1

The translation of points (3,-2) → (1,0) is 2 units up and 2 units left.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

Given the coordinate (3,-2) transformed in coordinate (1,0)

Now,

3 + x = 1

x = -2

It means graph shift 2 units left.

Now,

-2 + y = 0

y = 2

It means the graph shifts 2 units up.

Hence "The translation of points (3,-2) → (1,0) is 2 units up and 2 units left".

To learn more about the transformation of graphs,

brainly.com/question/3099136

#SPJ2

Answer:

x=16.5

Step-by-step explanation:

-1/2 on both sides

17-0.5 or 1/2=16.5

Answer:

x= 33/2

Step-by-step explanation:

Subtract 1/2 from both sides!

x+ 1 /2 − 1 /2 =17− 1 /2

The congruent segments, \( SC \cong HR \) and \( HR \cong AB\), according to the substitution property of equality, gives; \( SC \cong AB \)

The given parameters are;

Required;

To prove;

\( SC \cong AB\)

Solution;

From the given parameters, and the definition of congruency, we have;

According to the symmetric property of equality, we have;

SC = HR

Therefore;

According to the substitution property of equality, we have;

If a = b and a = c, therefore;

b = c

Which gives;

HR = SC

HR = AB

Therefore;

SC = AB

Which gives;

\( SC \cong AB \) (Inverse of the definition of congruency)

Learn more about the properties of equality here:

https://brainly.com/question/13344409

#SPJ1

Answer:

A      5/7

Step-by-step explanation:

Answer:

D.

There are 50 states in total

there are a total of 5_67%'s

5wanted states / 50 states in total = 5/50 = 1/10

Hope this helps

Step-by-step explanation: