Find the common factor of all the terms of the polynomial 16x² - 14x.

Answer: x=3

Step-by-step explanation:

4x-3y=18

4x-3(-2)=18

4x+6=18

(4x=12)/4

x=3

The number of each type of ticket sold in the following situation:

1. The tickets of $5.00  = 400

2. The tickets of $7.50 =  200

A linear equation is an algebraic equation in which the highest power of the variable is 1. In simple words, a linear equation is an equation in which the variables appear only in the first degree.

Linear equations can be written in the form:

y = mx + b

where y and x are variables, m is the slope (or rate of change), and b is the y-intercept (the point where the line crosses the y-axis).

Let x be the number of tickets sold before the day of the game and y be the number of tickets sold at the game.

Then we have:

x + y = 600 (the total number of tickets sold)

and

5x + 7.5y = 3500 (the total receipts from ticket sales)

To solve for x and y, we can use substitution.

Simplify and solve for y:

3000 - 5y + 7.5y = 3500,

2.5y = 500

y = 200

Substitute y = 200 back into the equation x + y = 600 to find x:

x + 200 = 600,

x = 400.

Therefore, 400 tickets were sold before the day of the game and 200 tickets were sold at the game.

To know more about linear equation check:

https://brainly.com/question/29739212

#SPJ9

The complete question:

The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.oo if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500. Find the number of tickets sold before the day of the game and the number of tickets sold at the day of the game?

Answer:

11

Step-by-step explanation:

Let's call the number of games of Balloon Bouncer that Amy played as "x".

Amy started with 35 tokens and used 2 for Roll-and-Score, so she had 35 - 2 = 33 tokens left.

Each game of Balloon Bouncer costs 3 tokens, so the total number of tokens used for Balloon Bouncer games is 3x.

Therefore, the equation to find the number of games Amy played is:

33 = 3x

Solving for x, we get:

x = 11

So Amy played 11 games of Balloon Bouncer.

Answer: 3g + 3 = 35

Step-by-step explanation:

It signifies the number of dogs that Bella feeds. The number of observations in dataset is an important characteristic that helps to determine the size of data and potential variability of data.

The table of the number of cups of dog food that each dog should be fed each day is a dataset that contains multiple observations. Each row in the table represents one observation for one dog, with information about the number of cups of dog food that the dog should be fed each day.

The number of observations in this data set is equal to the number of dogs that Bella will be feeding at the shelter. Each observation in the dataset represents a single unit of information, in this case, the number of cups of dog food that a particular dog should be fed.

Learn more about statistics here:

brainly.com/question/27061777

#SPJ4

In the simplest terms, the expression for the difference between (-9x-7) and (-4x+4) is -5x - 11.

To find the difference between (-9x-7) and (-4x+4), we can subtract the second expression from the first expression and get: (-9x - 7) - (-4x + 4)

Simplifying the double negative, we get: (-9x - 7) + (4x - 4)

Next, we can combine like terms: -9x + 4x - 7 - 4

Simplifying this expression further down, we get: -5x - 11

Therefore, the expression that represents the difference between (-9x-7) and (-4x+4) in simplest terms is -5x - 11.

To learn more about expression click here

brainly.com/question/13428941

#SPJ4

Answer:

99 square millimeters

Answer given by the other user is correct. Merely giving the steps required to solve such a problem

Step-by-step explanation:

Break up the figure into 3 rectangles as shown in the attached image

The area of the top rectangle with size 11 x 3 = 33 square millimeters

The area of the small rectangle is 2 x 5 = 10 square millimeters

The area of the vertical rectangle is 4 x 14 = 56  square millimeters

Total area = 33 + 10 + 56

= 99 square millimeters

The area of the trapezoid is A = 2285.47 units²

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the area of the trapezoid be represented as A

Now , the value of A is

Let the height of the trapezium be h = 52.6

Let the length of the shorter base a = 39.1

Let the length of the longer base b = 47.8

Now , Area of Trapezoid = ( ( a + b ) h ) / 2

On simplifying , we get

Area of trapezoid A = ( ( 47.8 + 39.1 ) 52.6 ) / 2

Area of trapezoid A = ( 86.9 x 52.6 ) / 2

Area of trapezoid A = 4,570.94 / 2

Area of trapezoid A = 2285.47 units²

Hence , the area of the trapezoid is 2285.47 units²

To learn more about trapezoid click :

https://brainly.com/question/12221769

#SPJ1

Side a is 2.5 inches long, side b is 5 inches long and side c is 6.5 inches long. Therefore, option C is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, scale factor =2:1

Scale drawing to object the scale factor is 2:1.

Now,

a=1/2 *5 =2.5 inches

b= 1/2 *10 = 5 inches

c= 1/2 * 13 = 6.5 inches

Therefore, option C is the correct answer.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ1

The range of the data set is, 28

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The data set is,

74, 64, 90, 74, 92, 68, 71

Now, We know that;

Range of data set is calculating by subtracting the lowest value from highest value.

Hence, The range is,

⇒ Highest value - Lowest value

⇒ 92 - 64

⇒ 28

Thus, The value of range = 28

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ9

The quadratic equation that represents the parabola is y - 2 = - x².

In this problem we find a table representing a quadratic equation, whose definition can be found by using two points and the vertex form of the parabola equation:

Vertex form

y - k = C · (x - h)²

Where:

First, determine the coordinates of the vertex of the parabola by table:

(h, k) = (0, 2)

Second, find the vertex constant:

C = (y - k) / (x - h)²

C = (1 - 2) / (1 - 0)²

C = - 1

Third, write the equation of the parabola:

y - 2 = - x²

To learn more on parabola equations: https://brainly.com/question/4074088

#SPJ1

The way the altitude changes is  24,600 (0 minutes), 19,475 (5 minutes), 16,400 (8 minutes), 14,350(10 minutes), and 6,150 (30 minutes).

To calculate the change in the altitude, let's use the formula given:

0 minutes:

Y = - 1025 x 0+ 24,600

Y = 24,600

5 minutes:

Y = - 1025 x 5+ 24,600

Y = -5125 + 24, 600

Y = 19,475

8 minutes:

Y = - 1025 x 8+ 24,600

Y = -8200 + 24, 600

Y = 16,400

10 minutes:

Y = - 1025 x 10+ 24,600

Y = -10250 + 24, 600

Y = 14,350

30 minutes:

Y = - 1025 x 30+ 24,600

Y = -30,750 + 24, 600

Y = 6,150

Learn more about formulas in https://brainly.com/question/20748250

#SPJ1

Answer:5

Step-by-step explanation:

This is a variation question.

When m is inversely proportional to n,

m ∝ 1/n

Now, there is a constant of 100.

So the formula connecting m and n is

m=k/n where k is the constant

=>m=100/n

Now, n= 20 ( 20 printers)

Thus, m=

100/20=5 minutes.

Hope this helps :)

The values of v w x y and z​ are given below:

<EDA= <EBA= 40°

==> x= 40°

This is because the circumferential arc of the same arc is equal.

<PAE= <ADE= 40°

=>v= 40°

This is based on the alternate segment theorem.

Because EC= EB, <ECB= <EBC= 80°

=> w= 80°

This is based on the properties of an isosceles triangle.

<ECB = <EAB = 80°

=> y= 80°

This is because the circumferential angle of the same arc are equal

Because <EBC = <ECB= 80°

=> <BEC = 180° -(80 x2)

= 20°

This is because the sum of the interior angles of the triangle is 180°

<AEB = 180°-y - <ABE

= 60°.

<AEC = <AEB + <BEC= 60° + 20°

=80°.

So <ADC = <AEC = 80°

=> = 80°

This is because the circumferential angle of the same arc are equal

Therefore,

Read more about geometry here:

https://brainly.com/question/24375372

#SPJ1

Sally will have to pay $50.52 in sales tax when she buys the Sarow boat.

Sales tax is a percentage of the purchase price of an item that the buyer pays to the government.

In this scenario, we will discuss how to calculate the sales tax that Sally will have to pay when she purchases a Sarow boat for $842, with a tax rate of 6%.

When we say that the sales tax rate is 6%, it means that for every dollar Sally spends on the Sarow boat, she has to pay an additional 6 cents to the government as tax. To calculate the amount of tax Sally will pay, we need to multiply the purchase price of the boat by the tax rate.

The formula to calculate the amount of sales tax is:

Sales tax amount = Purchase price x Tax rate

Using the given values, we can plug them into the formula and solve for the tax amount:

Sales tax amount = $842 x 0.06

Sales tax amount = $50.52

To know more about tax rate here.

https://brainly.com/question/12395856

#SPJ4

We need the angle AOD to find the x value

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Missed data: ABCD is a QUADRILATERAL

'O'  is a point in the middle joining OA,OB,OC and OD , find the angle AOD  which is x here

Adding 3 angles we get 11x+22,

Equation is :

11x+22 + AOD = 360

=> AOD = 360 - 22- 11x

     AOD= 338- 11x  

We need the angle AOD to find the x value

To learn more about the solution of an equation from the given link

https://brainly.com/question/22688504

#SPJ1

By applying repeated and independent measures concepts, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).

In a repeated-measures research study, the degree of freedom (df) is calculated by subtracting 1 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 1 = 11.

Whilst, in an independent-measures research study, the degree of freedom (df) is calculated by subtracting 2 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 2 = 12.

Therefore, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).

To learn more about the repeated and independent measures, click here: https://brainly.com/question/15690601

#SPJ11

Answer:

61.504

Step-by-step explanation:

Answer:

There are £61.50 in 992

Step-by-step explanation:

Here, we shall be doing some currency conversions.Now, £31 = 500 rublesThen;£x = 992 rubles To get c, what we do is simply cross multiply £x * 500 rubles = £31 * 992 rubles £x = (£31 * 992 rubles)/500 rubles £x = £61.504which is £61.50 to two decimal places

hope this helps!!

Answer: 2.4

Step-by-step explanation:

8-2z=10z+3

First, take variables to one side

Don’t forget to change symbols when switch

-2z -10z= -8+3

Now solve, simplify

-12z=-5

The negatives cancel out, so divide both sides by 12

Z= 2.4

The approximate arc length of one slice of apple pie, when the diameter of the pie is ten inches, is option (c) - 5.24 inches.

We know that the apple pie is cut into 6 equal slices,

therefore,  Θ = 360/6 = 60° (for each slice of the apple pie)

then the diameter of the apple pie is, d = 10 inches

from the diameter we can find the radius, r = 10/2 inches = 5 inches

arc length = 0/360 × 2[tex]\pi[/tex]r

we put the values of r and [tex]\pi[/tex] into the equation, we get the following:

= 60/360 × [tex]2\pi[/tex] × 5

= 5.24 inches.

To learn more about Arc length, click here:

brainly.com/question/16403495

#SPJ4

Yes, that is correct. The t-value is used to calculate the significance of the difference between two sample means.

It is used in a t-test, which is a type of hypothesis test that is commonly used in statistical analysis. The t-value changes depending on the number of data points (sample size) collected, as well as the level of confidence desired and the standard deviation of the population. A larger sample size typically results in a smaller t-value, which means that the difference between the two sample means is more significant. On the other hand, a smaller sample size leads to a larger t-value, which means that the difference between the two sample means is less significant. Yes, that is correct. The t-value is used to calculate the significance of the difference between two sample means.

Learn more about standard deviation :

https://brainly.com/question/23907081

#SPJ4

The method for addressing inequality 2v + 12 ≥ 16 is v ≥ 2. This indicates that any value of v larger than or equal to 2 will fulfil the inequality.

The idea of inequality—the state of not being equal, particularly in status, rights, and opportunities1—is one that is central to social justice theories. However, because it frequently has diverse meanings to different people, it can become confusing in public discourse.

The equation-like appearance of the phrase 5x 4 > 2x + 3 is altered by the arrowhead in place of the equals sign. It serves as an illustration of inequity. This shows that the section on the left, 5x 4, is bigger than the part on the right.

Subtract 12 from both sides of the inequality:

2v + 12 - 12 ≥ 16 - 12

Simplifying, we get:

2v ≥ 4

Divide both sides of the inequality by 2:

2v/2 ≥ 4/2

Simplifying, we get:

v ≥ 2.

To know more about Inequality visit:

https://brainly.com/question/17675534

#SPJ1

The solution of the equations y = 3x + 2 and - 4x + 2y = 8 by elimination method will be (2, 8).

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

The equations are given below.

y = 3x + 2

2y = 6x + 4

6x - 2y = - 4         ...1

- 4x + 2y = 8        ...2

Add both equations, then we have

6x - 4x = - 4 + 8

2x = 4

x = 2

Then the value of 'y' is given as,

y = 3(2) + 2

y = 6 + 2

y = 8

The solution of the equations y = 3x + 2 and - 4x + 2y = 8 by elimination method will be (2, 8).

More about the solution of the equation link is given below.

https://brainly.com/question/29797035

#SPJ1

The solution to this system of equations is (10, 50).

A graph of this system of equations is shown in the image attached below.

Based on the information provided above, one of the plan includes a membership fee of $10 and charges $4 for every DVD borrowed. Therefore, the total cost, y, can be represented by this equation:

y = 4x + 10    .......equation 1.

where:

x represents the number of DVDs borrowed in a month.

For the second plan, it costs $50 per month for unlimited DVD rentals. Therefore, the total cost, y, can be represented by this equation:

y = 50    ....equation 1.

By equating equation 1 and equation 2, we have the following:

4x + 10 = 50

4x = 50 - 10

4x = 40

x = 40/4

x = 10 DVDs.

Read more on equation here: brainly.com/question/18912929

#SPJ1

Answer:

7

Step-by-step explanation:

We start doing the multiplication, and [tex]5 \cdot 5 = 25[/tex]. So we can rewrite it as [tex]25 + 67 - 85.[/tex] Now we work from left to right, where we calculate [tex]25 + 67 = 92[/tex]. Now the final step, [tex]92 - 85 = 7.[/tex] Therefore, the answer is [tex]\boxed{7.}[/tex]

Answer:

sry for being late the answer is 7……I did it in my head and double checked with a calculator. Go ahead and give the other person brainliest they did it first! Hope I helped to!!

Step-by-step explanation:

When the residual is negative it represents the predicted value is very much high.

Therefore, the negative residual value on the regression line represents the predicted value is very much high.

Learn more about residual here

brainly.com/question/21562096

#SPJ4

There are two solutions to the system of linear equations depicted in the graph: one at (0,4) and one at (-3,0). There is only one distinct solution to the system of equations where the two lines intersect at the points (-3,0) and (0,4).

If the slopes are the same but the y-intercepts vary, the system has no solution. If the slopes are different, the system only has one solution. The system has an endless number of solutions if the slopes and y-intercepts match.

There are therefore countless possible answers. A different kind of linear equation system is a system with two parallel lines represented by the equations is referred to be an inconsistent system. The lines have distinct y-intercepts but the same slope.

To know more about linear equations visit:-

https://brainly.com/question/11897796

#SPJ1

Answer:

1 + 1 = 2

Step-by-step explanation:

you add one and add another one and together thetr is two. so you would have two left.

The straight line distance from the front seat to the back is approximately 69.7 feet.

Straight line distance refers to the shortest distance between two points in a straight line, as opposed to the distance that would be traveled along a curved path or following the contours of the terrain.

Let the distance from the front row to the back row be x.

Then, we can use the tangent function to find the height difference between the front and back rows:

tan(12°) = (height difference) / x

Solving for the height difference:

height difference = x * tan(12°)

The problem tells us that the height difference is 15 feet, so we can set up an equation:

15 = x * tan(12°)

Solving for x:

x = 15 / tan(12°) ≈ 69.7 feet

Therefore, the straight line distance from the front seat to the back is approximately 69.7 feet.

Learn more about straight line distance here : brainly.com/question/28604717

#SPJ1

The value of the equation is A = ( 6x - 9y ) / ( 3 + 2y )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 12x - 18y ) / ( 6 + 4y )

On simplifying the equation , we get

Taking the common factor as 6 in the numerator , we get

A = 6 ( 2x - 3y ) / ( 6 + 4y )

Taking the common factor as 2 in the denominator , we get

A = ( 6/2 ) ( 2x - 3y ) / ( 3 + 2y )

On further simplification , we get

A = 3 ( 2x - 3y ) / ( 3 + 2y )

A = ( 6x - 9y ) / ( 3 + 2y )

Hence , the equation is A = ( 6x - 9y ) / ( 3 + 2y )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1