Which rule dilates a figure in the coordinate plane, with its center of dilation at the origin, by a scale factor of 4?

Answer:

$300

Step-by-step explanation:

$75 = 3 games

12 ÷ 3 = 4

$75 x 4 = $300

To solve this question, you start by dividing 75/3. 75/3=25. 25 is the cost of one video game. Now we multiply 25 by 12 to find the cost of 12 video games. Our answer is 300.

Answer:

x^2 + y^2 = 400

Step-by-step explanation:

the general equation of a circle is,

x^2 +y^2 = r^2

where x, y are the coordinates of the circle

r is the radius

The value of m in the equation is 30.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

It is a relationship between two expressions that is expressed as an equality on either side of the equal to sign. An equation would be 3 = 18, for instance.

In this case, the person must pay a $75 one-time fee plus a charge of $30 per month.

This will be illustrated in the equation as:

y = 75 + 30x

where

x = the time in months and

y = the total cost in dollars.

The value of m is 30.

Learn more about equations on:

brainly.com/question/2973832

#SPJ1

Answer:

q= 1.09

Step-by-step explanation:

the works there its a little messy tho

By taking a quotient we can see that they bought a total of 8 pizzas.

We know that the first pizza costs $13.60, and for the second there is a 30% discount, then the cost of the second pizza is:

p = $13.60*(1 - 30%/100%)

p = $13.60*(0.7) = $9.52

Then two pizzas cost:

$13.60 +  $9.52 = $23.12

We know that the team spends in total $92.48, by taking the quotient:

$92.48/ $23.12 = 4

We can conclude that they bought 4 pairs of 2 pizzas, so a total of 8 pizzas.

Learn more about quotients:

https://brainly.com/question/629998

#SPJ1

The radii of the cylinders found using the formular for the volume of a cylinder, and the 2009.6 cubic centimeter and 196.25 cubic centimeter volumes of the cylinders, indicates;

The radius of the 2009.6 cm³ cylinder is 8 centimeters

The radius of the 196.25 cm³ cylinder is 2.5 centimeters

A cylinder is a solid that has three dimensions, consisting of two circular, parallel bases that enclose a curved pipe like surface in between.

The volume of one cylinder = 2009.6 cubic centimeters

The volume of the other cylinder = 196.25 cubic centimeters

The height of each cylinder, h = 10 centimeters

The formula for finding the volume of a cylinder is; V = π·r²·h

Where;

r = The radius of the cylinder

h = The height of the cylinder

The formula for finding the volume of a cylinder indicates;

r² = V/(π·h)

r = √(V/(π·h))

The radius of the cylinder of volume 2009.6 cubic centimeters, r₁ is therefore;

r = √(2009.6/(3.14 × 10) = 8

The radius of the 2009.6 cubic centimeters volume cylinder is r₁ = 8 cm

The radius, of the 196.25 cubic centimeters cylinder, r₂, is therefore;

r₂ = √(196.25/(3.14×10)) = 2.5

The radius of the 196.25 cubic centimeter volume cylinder, r₂ = 2.5 cm

Learn more about the volume of a cylinder here:

https://brainly.com/question/64165

#SPJ1

The value of a comic book in dollars has been found to be 0.20y + 1.50, where y is the number of years since it was released. is  

(a)  [tex]0.2$[/tex]

(b) [tex]1.5$[/tex]

[tex]0.2 y+1.5 \longleftarrow \text { initial value }[/tex]

[tex]when $y$ increase one. the value increase $\$ 0.2$[/tex]

Travelling to movies and television programmes. An element of a comic book being in a popular film or television programme is a major factor in its value rising. Characters' comic book appearances have become far more valuable as they are integrated into the Marvel Cinematic Universe.

Marvel's first comic book just sold for $1.26m. Movies have contributed to the enduring popularity of superheroes, bringing in new audiences. The printed comic is still big business, worth over $1bn in North America alone.

To learn about more comic book visit

https://brainly.com/question/2321316

#SPJ1

The solution for the angle x in the figure is 130 degrees

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

The transversal and the parallel line

By the theorem of vertical angles, we have the following equation

x = 5y

Also, we have the following equation

x = 2y - 78 --- by the theorem of corresponding angles

Substitute x = 2y - 78  in x = 5y

So, we have the following representation

5y = 2y - 78

Evaluate the like terms

3y = 78

Divide both sides by 3

y = 26

Substitute y = 26 in x = 5y

x = 5 * 26

Evaluate

x = 130

Hence, the value of x is 130

Read more about angles at

https://brainly.com/question/7620723

#SPJ1

There are 12 different positive two digit integers can be formed using these digits if a digit can be repeated in an integer.

Integer:

An integer is zero (0), a positive integer (1, 2, 3, etc.), or a negative integer with a minus sign (-1, -2, -3, etc.). A negative number is the additive reciprocal of the corresponding positive number. In mathematics languages, sets of integers are often denoted by a bold Z or a bold {Z}.

Given the question :

The number of different positive two integer number can be obtained by:

P(4, 2) = 4P2

We know that:

[tex]^nP_r[/tex] = n! / (n - r)!

⁴P₂ = 4! / (4 - 2)!

⁴P₂ = 4! / 2!

⁴P₂ = (4 * 3 * 2 * 1) / ( 2 * 1)

⁴P₂ = 24 / 2

⁴P₂ = 12

Hence, 12 different positive two-digit integers can be formed using these digits if a digit may not be repeated in an integer.

Learn more about Integer:

https://brainly.com/question/1768255

#SPJ4

Answer: 27, 65, 29, 77, 37

Step-by-step explanation:

The number of diagonals of an [tex]n[/tex]-gon is [tex]\frac{n(n-3)}{2}[/tex].

The number of apothems of an [tex]n[/tex]-gon is [tex]n[/tex].

Answer:

Step-by-step explanation:

Answer:

-m + 13

Step-by-step explanation:

The quadratic equation with the given x-intercepts and that passes through the point (1, 192) is the one in option D.

y = -8x^2 -64x + 264

If a quadratic equation has x-intercepts x₁ and x₂ and a leading coefficient a, we can write the quadratic equation as:

y = a*(x - x₁)*(x - x₂)

Here we know that the x-intercepts are -11 and 3, replacing that in the equation above we will get:

y = a*(x + 11)*(x - 3)

We also know that the line passes through the point (1, 192), replacing the values in the quadratic equation we will get:

192 = a*(1 + 11)*(1 - 3)

192 = a*12*-2

192 = -24*a

192/-24 = a

-8 = a

So the quadratic equation is:

y = -8*(x + 11)*(x - 3)

Expanding this, we will get:

y = -8x^2 -64x + 264

So the correct option is D.

Learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

The test statistic for the student who scored 79.6 points on the exam is 1.38

The relationship between a value and the mean of a group of values is quantified by a Z-score. The Z-score is calculated using standard deviations from the mean. A Z-score of zero means the data point's score is equal to the mean score.

Formula for z-score = x - u / σ

According to the question,

Sample size = 20 grades

Mean of sample = 74.8

Sample Standard deviation = 15.5

We have to calculate z-score for the student who scored 79.6 points on the exam.

But here if we see , sample size is less than 30 and population standard deviation is unknown.

So, we can't use Z-score .

t-statistics = x - u / (s/√n)

=> 79.6 - 74.8 / ( 15.5 / √20)

=> 4.8√20 / 15.5

=> 1.38 is required answer

To know more about z-score here

https://brainly.com/question/15016913

#SPJ4

The probability that we will draw 4 kings from the 52-card deck be 1/270725.

Given, we draw 4 cards from a standard 52-card deck

we have to find the probability that we draw 4 kings

As, we know that the deck of cards contain 4 kings of two red and two black.

we have to choose 4 kings from 4 kings in the deck

Number of ways to choose 4 kings from the deck of cards =  C(4 , 4)

Now, total number of ways in which 4 cards can be chosen be,

C(52 , 4)

So, the probability of drawing 4 kings from the deck of cards be,

P(E) = C(4 , 4)/C(52 , 4)

P(E) = 4×3×2 / 52×51×50×49

P(E) = 1 / 13×17×25×49

P(E) = 1/270725

Hence, the required probability be 1/270725

Learn more about Probability here https://brainly.com/question/27745646

#SPJ4

Answer:

ede 5 years old er = wife 25 Ed 34

75% percentage of the club members voted for Bob.

The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.

A figure or ratio that reflects a fraction of 100 is known as a percentage in mathematics. In addition to ratios, fractions, and decimals, it is one of the ways to depict a dimensionless connection between two numbers. Frequently, the symbol "%" is used after the number to indicate percentages. 10%, a comparative figure denoting one hundredth of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified.

Given,

The number of votes received by Bob=48 votes

Total number of members in the club=64

Then,

(48/64)×100

=75%

Therefore, 75% percentage of the club members voted for Bob.

To know more about percentage, visit:

https://brainly.com/question/16797504

#SPJ1

Answer:

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

ΔABC and ΔXYZ are congruent triangles.

Corresponding angles map as per the order of vertices:

The congruent pairs of angles are:

This is matching option C.

Approximate percent increase in how much the student pays with Optin 2 versus Option is 20%

$540 plus 15% sales tax now.=$515

Pay exactly $120 now and then $58 each month for 9 months=$642

To learn more about Percentage refer to:

https://brainly.com/question/24877689

#SPJ1

The scale factor from B to A is 5/8. Since the scale-up and scale-down of A and B are reciprocal to each other. I.e, scaling of geometry can be reversed by the reciprocal of its scale factor.

The scale factor for the given shape to transform from A to B is 8/5.

So, the original shape is A and it is scaled up by the factor 8/5 and named B.

(Scaled up since scale factor (8/5 = 1.6) > 1)

So, the scaling from B to A is the reverse process of scale-up. That means scale-down. For this, the scale factor is reduced by taking its reciprocal. So, that the shape gets reversed.

The scale factor for scaling down from B to A is 1/(8/5) ⇒ 5/8.

Therefore, the scale factor from B to A is 5/8.

Learn more about scale factors here:

https://brainly.com/question/2826496

#SPJ1

Step-by-step explanation:

x varies directly as y

x=ky

12=4k

k=12/4

k=3

Answer:

The perimeter is approximately 6.40.

Step-by-step explanation:

To find the perimeter of a triangle with vertices X (1, 3), Y (-4, -1), and Z (4, -1), we can first find the distance between each pair of points using the distance formula.The distance between points X and Y is:

$d(X,Y) = \sqrt{((1 - (-4))^2 + (3 - (-1))^2)} = \sqrt{25 + 16} = \sqrt{41}$

The distance between points Y and Z is:$d(Y,Z) =

\sqrt{((-4 - 4)^2 + ((-1) - (-1))^2)} = \sqrt{0 + 0} = 0$

The distance between points X and Z is:

$d(X,Z) = \sqrt{((1 - 4)^2 + (3 - (-1))^2)} = \sqrt{9 + 16} = \sqrt{25}$

We can then find the perimeter of the triangle by adding up the lengths of the sides. In this case, the perimeter is $d(X,Y) + d(Y,Z) + d(X,Z) = \sqrt{41} + 0 + \sqrt{25} = \sqrt{41} + \sqrt{25} = 6.40\ldots$.

Rounded to two decimal places, the perimeter is approximately 6.40.

Step-by-step explanation:

3x + 1 < 2x - 4

3x-2x <-4-1

x<-5

Answer:

5/9 In fraction form. In decimal form 0.51 and in percentage form %51

Step-by-step explanation:

To find the ratio of the number of female runners to the total number of runners, we can divide the number of female runners by the total number of runners and express the result as a fraction. There are 25 female runners, and there are a total of 24 men + 25 women = 49 runners. Therefore, the ratio of the number of female runners to the total number of runners is 25/49. This fraction can be reduced to 5/9.

The statement which shows that polynomials are closed under addition when two polynomials 4x² - 8x - 7 and -5x + 16 are added include the following: C. 4x² - 13x + 9 will be a polynomial

In Mathematics, a polynomial function can be defined as a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using mathematical operations such as the following:

Next, we would add the two (2) given polynomials as follows;

(4x² - 8x - 7) + (-5x + 16)

4x² - 8x - 7 - 5x + 16

Rearranging the given polynomials by combining like terms, we have;

4x² - 8x - 5x + 16 - 7

4x² - 13x + 9

Therefore,  the given polynomials are closed under addition.

Read more on polynomial here: https://brainly.com/question/3724034

#SPJ1

Complete Question:

Which of the following shows that polynomials are closed under addition when two polynomials 4x² - 8x - 7 and -5x + 16 are added?

a. 4x^2 - 13x + 9 may or may not be a polynomial

b. 4x^2 + 13x -23 may or may not be a polynomial

c. 4x^2 -13x + 9 will be a polynomial

d. 4x^2 + 13x - 23 will be a polynomial

Answer:

y = 9

Step-by-step explanation:

The line that has a slope of 0: y = 0*x + ?

pass through the point (9,-4): 9 =0*(-4) + ?, we can get 9.

So the answer is y = 9.

Answer: y=0x-4

Step-by-step explanation:

y=mx+b

-4 = (0)(9)+b

b = -4

y = -4

The equations that can  be said to be the representatives of functions here are:

A function is a relationship between a set of inputs and a set of potential outputs, where each input is associated to exactly one outcome.

A graph is considered to be a function if any vertical line formed may cross it at most one point. The graph is not a function if it has any locations where a vertical line can pass through it twice or more.

A linear equation exists: 2x + 3y = 10. This function exists.

3y = 18  is a horizontal line, it serves a purpose.

Read more on functions here: https://brainly.com/question/10645676

#SPJ1

The time for each of them to cover 1 mile is; Evian = 10 min, Toby = 9 min and Jillian = 12 min. The fastest is Toby and No, Jillian can't make the team.

A unit rate means a rate for one of something.

Given that, Students at Polk Middle School are given a fitness test.

The fitness test result is;

Evian can run [tex]1\frac{1}{2}[/tex] miles in 15 minutes, Toby can run 2/3 miles in 6 minutes and Jillian can run 3/4 miles in 9 minutes

a) The rate of running in 1 mile = (total miles covered)/(total time taken)

Evian =

3/2 miles in 15 minutes

1 mile = 15x2/3

1 mile = 10 minutes

Toby =

2/3 mile in 6 minutes

1 mile = 6x3/2

1 mile = 9 minutes

Jillian =

3/4 miles in 9 minutes

1 mile = 9x4/3

1 mile = 12 minutes.

b) Since, Toby is covering 1 mile in the least minutes in comparison with other two, therefore Toby is fastest among them.

c) Jillian's rate = 1 mile in 12 minutes

Speed = 1/9 miles per minute

Therefore, she will cover 7/2 miles in = 12x7/2 = 42 minutes

That means, she can't make the team.

Hence, the answers are a) Evian = 10 min, b) Toby = 9 min and Jillian = 12 min, the fastest one is Toby and Jillian can't make the team.

For more references on unit rate, click;

https://brainly.com/question/29781084

#SPJ1

Answer:

The last answer is correct

Step-by-step explanation:

3x = 24  Divide both sides by 3

x = 8

A pair of shoes cost $8

The salvage value of the PS 5 system after 6 years will be $640.

The formula for the depreciation;

Depreciation per year = (cost of asset - salvage value)/ (useful life of assets)

For the stated question-

12 = (712 - salvage value)/ (6)

salvage value = 712 - 12x6

salvage value = $640.

Thus, the salvage value of the PS 5 system after 6 years will be $640.

To know more about the depreciation, here

https://brainly.com/question/25806993

#SPJ1