The blue shape is a dilation of the black shape. What is the scale factor of the dilation?

The Blue Shape Is A Dilation Of The Black Shape. What Is The Scale Factor Of The Dilation?

Answers

Answer 1

Answer:

Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs.

Step-by-step explanation:


Related Questions

The prices of different types of nuts are shown in the table.

Type of Nut Price per Pound
Almonds $9.15
Cashews $10.75
Peanuts $3.95

Mila buys 1.4 pounds of almonds, 0.8 pound of cashews, and 2.6 pounds of peanuts.
How much does Mila spend in all?

Answers

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

I’m not sure but I think it’s 30.6$

At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult tickets and 6 children's tickets for $78. Find the price of an adult ticket and the price of a children's ticket.

Answers

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

Answer:

Answer:

Adult= $11

Children = $7.5

Step-by-step explanation:

Let x represent adult ticket and y represent children ticket

2x + 3y= 44.50........equation 1

3x + 6y= 78........equation 2

From equation 1

2x + 3y= 44.50

2x= 44.50-3y

x= 44.50-3y/2

Substitute 44.50-3y/2 for x in equation 2

3x+ 6y= 78

3(44.50-3y/2) + 6y= 78

66.75- 4.5y +6y= 78

66.75 + 1.5y= 78

1.5y= 78-66.75

1.5y= 11.25

y= 11.25/1.5

y = 7.5

Substitute 7.5 for y in equation 1

2x + 3y = 44.50

2x + 3(7.5)= 44.50

2x + 22.5= 44.50

2x = 44.50-22.5

2x= 22

x= 22/2

x= 11

Hence the price of adult ticket is $11 and the price of children ticket is $7.5

Step-by-step explanation:

help helppp help i need answerr thank Uuuuuuuuu​

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

The angles are vertical and congruent, that is

x - 10 = 125 ( add 10 to both sides )

x = 135

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

(b)

Supplementary angles sum to 180°

The angles are in the ratio 2 : 3 = 2x : 3x ( x is a multiplier ), then

2x + 3x = 180

5x = 180 ( divide both sides by 5 )

x = 36

thus

2x = 2 × 36 = 72

3x = 3 × 36 = 108

Then the 2 angles are 72° and 108°

Now you can mark them brainliest.

Jorge's dog weighs 14 pounds. How many ounces does he weigh?

Answers

Answer: 224

Step-by-step explanation:

Una caja contiene 3 bolas verdes, 5 bolas rojas y 2 bolas azules. Si se extraen al azar dos bolas sin reposición, ¿cuál es la probabilidad de que la primera sea azul y la segunda sea verde?

Answers

Responder:

1/15

Explicación paso a paso:

Dado que :

Número bolas verdes = 3

Número de bolas rojas = 5

Número de bolas azules = 2

Dibujo sin reemplazo; probabilidad de que el primero sea azul, el segundo sea verde

Probabilidad = resultado requerido / Total de resultados posibles

Resultados posibles totales = 3 + 5 + 2 = 10

P (1er azul) = número de azules / 10

P (1er azul) = 2/10 = 1/5

Sin reemplazo :

Total restante = 10 - 1 = 9

P (segundo verde) = número de verdes / 9 = 3/9

Probabilidad del primer azul y del segundo verde:

1/5 * 3/9 = 3/45 = 1/15

The probability that the first is blue and the second is green is 1/15

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

If a box contains 3 green balls, 5 red balls and 2 blue balls, the total number of balls is 10balls

Total outcome = 10 balls

If blue is selected at first, the probability of selecting blue is 2/10 = 1/5

If green is selected without replacement, the probability of selecting green will be 3/9Pr(selecting red and then green) = 1/5 * 1/3 = 1/15

Learn more on probability here: https://brainly.com/question/24756209

Jeyniel wrote the expression x^3/y^2. If x=4 and y=2; how much is the value of the expression? *

Answers

Answer:

The answer is 16

Step-by-step explanation:

X^3=64

Y^2=4

so 64 divided by 4 is 16

Answer:

16

Step-by-step explanation:

this might help you

3 years ago lower bought a new car for 21,700 when she traded the car into a dealer last week it was worth 13,020. Find the percent decrease in the car's value over the 3 year.​

Answers

Answer:

1.67 percent

Step-by-step explanation:



What is the solution to the equation x/3+x/6=7/2?

A. x=3/2
B. x= 7/3
C. x= 3
D. x= 7

Answers

Answer:

x=7

Step-by-step explanation:

Marcello is an artist who makes oil paintings and charcoal sketches. He sells each oil painting for $500 and each charcoal sketch for $300. Marcello wants to create 56 works total. Write and solve a system of equations to determine how many pieces of artwork he must sell in order to make exactly $20,000

Answers

Answer:

He needs to sell 25 pieces of artwork.

Step-by-step explanation:

$500 for an oil painting.

$300 for a charcoal sketch.

56 pieces of artwork total.

$20,000 goal.

500 + 300

= 800

$800 for 1 oil painting and 1 charcoal sketch.

20,000 ÷ 800

= 25

He needs to sell 25 pieces of artwork to make $20,000.

You earn a new a weekly allowance of five dollars and your neighbor is paying you 7.50 per hour for shoveling the driveway how many hours,x, Master work this week if you wanna earn more than $30

Answers

Answer:

Hours of work= 3.5

Step-by-step explanation:

Giving the following information:

Allowance= $5

Hourly pay= $7.5

Desired profit= $31

To calculate the number of hours to work, we need to use the following formula:

Hours of work= shoveling pay / hourly pay

Hours of work= (31 - 5)/7.5

Hours of work= 26/7.5

Hours of work= 3.5

Elias has joined a game rental service. The membership has an initial fee of $35.00 and each game rental costs $5.00. This table shows the linear relationship between the total cost, y, and the number of games Elias rents, x. Fill in each box to correctly model the relationship between x and y.

Answers

Answer:

y=mx+b

y=35+5x

Step-by-step explanation:

HELP PLEASE

Question 4 (5 points)
(04.05)

Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision. (5 points)

Answers

Answer:

[tex]\huge\boxed{\sf No}[/tex]

Step-by-step explanation:

Evan spent 20 hours doing homework last week

25 hours were spent this week.

Let's see what 125% of 20 equals:

= (125 / 100) * 20

= (125 / 10) * 2

= 125 / 5

= 25 hours

But,

It is written that Evan thought he spent 125 % more than the last week which means:

= (125% of 20) + 20

= 25 + 20

= 45 hours

He should've said that he has given 25% more time than the last week.

(Note that: 25 % of 20 equals 5 so 25 % more than last week will be equal to (25 % + 20) = (5+20) = 25)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles?

Answers

Answer:

The measure of a base angle of one of the triangles is 54°

Step-by-step explanation:

In the isosceles triangle, the angle between the two equal sides called the vertex angle and the other two angles are equal and called base angles

∵ The total number of degrees in the center is 360°

∵ All five vertex angles meeting at the center are congruent

→ To find the measure of each vertex divide 360° by 5

∴ The measure of each vertex = 360° ÷ 5

The measure of each vertex = 72°

∵ The base angles are equal in the isosceles triangle

∵ The sum of the measures of the angles of a triangle is 180°

→ Assume that the measure of each base angle is x

x + x + 72° = 180°

∴ 2x + 72° = 180°

→ Subtract 72 from both sides

∵ 2x + 72 - 72 = 180 - 72

∴ 2x = 108

→ Divide both sides by 2 to find x

x = 54

∴ The measure of each base angle = 54°

The measure of a base angle of one of the triangles is 54°

The United States government used to make coins of many different values
cont
3 cents
20 cents
$2
$5
For each coin, state its worth as a percentage of $1.
Type the answers in the boxes below.
1. cent
50
2. 3 cents
3
3. 20 cents
4. $2

Answers

Answer:

1. 50%

2. 3%

3. 20%

4. 200%

Step-by-step explanation:

Here, we want to find the worth of each coin as a percentage of $1

We simply divide the worth by $1 and multiply by 100%

$1 is same as 100 cents

Thus;

1. 50 cent

= 50/100 * 100% = 50%

2. 3 cents

= 3/100 * 100% = 3%

3. 20 cents

= 20/100 * 100% = 20%

4. $2

= 2/1 * 100% = 200%

Beth works at a car lot. This week she sells $23,200 in cars. She earns 4% commission for all the
cars she sells. How much will she earn this week?

Answers

Answer:

$928

Step-by-step explanation:

23200/100 = 232

232 * 4 = 928

A family bought a total of 32 adult and child tickets to eat at the dining hall.

Adult tickets are $21 each and children are $15 each.

The family paid a total of $282

Write an equation to model the total number of tickets sold.

Write an equation to model the cost of tickets sold.

How many of adult tickets, “x” and child tickets, “y” did they buy?

Answers

Answer:  

Answer: 250 $3 tickets and 100 $2 tickets were sold.

Step-by-step explanation:

Solution:

Step 1: Set up a table with quantity and value.

quantity value total

$3 tickets  

$2 tickets  

together  

Step 2: Fill in the table with information from the question.

The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?

Let x = number of $3 tickets

Let y = number of $2 tickets

Total = quantity × value

quantity value total

$3 tickets x 3 3x

$2 tickets y 2 2y

together 350  950

Step 3: Add down each column to get the equations

x + y = 350                    (equation 1)

3x + 2y = 950                (equation 2)

Use Substitution Method

Isolate variable x in equation 1

x = 350 – y                     (equation 3)

Substitute equation 3 into equation 2

3(350 – y) + 2y = 950

1050 – 3y + 2y = 950

3y – 2y = 1050 – 950

y = 100

Substitute y = 100 into equation 1

x + 100 = 350

x = 250

Answer: 250 $3 tickets and 100 $2 tickets were sold.

gary Sanchez struck out 112 times in 350 at bats. What PERCENTAGE of his at-bats were strike outs?

Answers

Answer:

it would be 32/100

Step-by-step explanation:

Answer:

32% of his bats were stuck out.

Step-by-step explanation:

Cindy was making desserts for a bake sale. She had 24 cups of sugar to work with. She used 3/4 of the sugar to make pies. She used the remaining sugar to make giant cookies. If each giant cookie needed 3/5 of a cup, how many cookies could Cindy make?

Answers

Answer:

she had 23 and 1/4 cups of sugar left to make the cookies.

93/4 is the improper fraction of that.

[tex]\frac{93}{4} / \frac{3}{5}[/tex]

the lowest common multiple is 20, so convert the fractions to have common denominator

[tex]\frac{465}{20} / \frac{12}{20}[/tex]

divide the numerators and you have your answer

38.75 cookies

Step-by-step explanation:

A bicycle wheel has a diameter of 28 inches. Which expression can be used to describe the circumference of the wheel as it relates to diameter?

Answers

Given:

The diameter of a bicycle wheel is 28 inches.

To find:

The circumference of the wheel as it relates to diameter.

Solution:

We have,

Diameter: [tex]d=28\text{ inches}[/tex]

We know that,

Radius: [tex]r=\dfrac{d}{2}[/tex]

[tex]r=\dfrac{28}{2}\text{ inches}[/tex]

The circumference of a circle is

[tex]C=2\pi r[/tex]

Putting [tex]r=\dfrac{28}{2}[/tex], we get

[tex]C=2\times \pi \times \dfrac{28}{2}[/tex]

[tex]C=28\times \pi[/tex]

Therefore, the correct option is (H).

Ty is placing CDs in boxes. There are a total of 7,200 CDs. Each box holds 90 CDs. How many boxes will Ty fill? A. 80 B. 70 C. 100 D. 90

Answers

Answer:

80 boxes.

Step-by-step explanation:

Total CDs available = 7200CDs

Amount of CD in each box = 90 CDs

To get the number of boxed Ty will fill, we will say;

90CDs = 1box

7200 CDs = x

Cross multiply

90 * x = 7200 * 1

90x = 7200

x = 7200/90

x = 80

Hence Ty will fill total of 80 boxes.

Answer:

80 CDS

Step-by-step explanation:

Total CDs available = 7200CDs

Amount of CD in each box = 90 CDs

To get the number of boxed Ty will fill, we will say;

90CDs = 1box

7200 CDs = x

Cross multiply

90 * x = 7200 * 1

90x = 7200

x = 7200/90

x = 80

Hence Ty will fill total of 80 boxes.

The table shows a relationship between the number of
tennis balls that fit into a given
number of cans.
Fill in the missing values to complete the table. Use
the spaces to the right to explain your values,

Answers

Answer:

What events or steps are described?

Do these things need to occur in a particular order?

Step-by-step explanation:

Someone please help on question 9
I will give you Brainliest

Answers

Answer:

(B). 38 cm³

Step-by-step explanation:

V = a² [tex]\frac{h}{3}[/tex]

a = 4.5 cm

h² = (6.1)² - ( [tex]\frac{4.5}{2}[/tex] )² = 32.1475

h = √32.1475 ≈ 5.67

V = (4.5)²( [tex]\frac{\sqrt{32.1475} }{3}[/tex] ) ≈ 38.27 ≈ 38 cm³

Answer:

[tex]38 cm^3[/tex]

Step-by-step explanation:

Given the slant height and a base side length of a right square pyramid, we can use these numbers to solve for the volume.

The formula for the volume of a square pyramid is generally known as:

[tex]V = 1/3 a^2h[/tex], where the variable 'a' represents the base side length and 'h' represents the height.

Since we are given the slant height, we can use Pythagorean's Theorem to calculate the height (non-slanted) when given a base side length by using the equation below:

[tex]a^2+b^2=c^2[/tex]

This is a special case because this is a right square pyramid, meaning we can use C squared and substitute that for the given slant height, 6.1 cm. The leg of the right triangle, which is [tex]\frac{s}{2}[/tex], takes place of 'b' which is 4.5. Now, given all of this, we can plug in our known values. Height is what we are solving.

[tex]h^2+\left(\frac{4.5}{2}\right)^2=6.1^2[/tex]

Now we will simplify and solve everything, and we get h; or the height, which equals 5.668977.

Now we can finally use the general formula to solve the volume of a square pyramid.

[tex]V = 1/3 a^2h[/tex]

Let's plug in everything now to find the volume — which we know that the height is approximately 5.66, and the base side length is 4.5.

[tex]V=\frac{1}{3}\left(4.5\right)^2\left(5.66\right)[/tex]

The volume from this formula equates to 38.205 cm³, or roughly 38 cm³, meaning the answer is B.

which mathematical property is shown here
7+2=2+7
1 distributive property
2 commutative property

Answers

Answer:

Commutative property

Answer:

It is commutative property!

Step-by-step explanation:

Distributive is when the numbers are distributed while commutative is when you can swap around the numbers and nothing would change therefore the equation you gave is a commutative property

A hot air balloon was flying at an altitude of 300 meters when the pilot decided to land by descending at a rate of 2 meters per second.For which of these functions doesy represent the altitude of the hot air balloon if x represents the number of seconds since the pilot started her landing?

Answers

It got be a least 27

A car is traveling at a rate of 32 miles per hour. At this rate, how many miles will the car will travel in 30 minutes?
Pls this will make my christmas

Answers

Answer:

32/2 is 16.

So.... 16 miles per 30 minutes

Step-by-step explanation:

Merry Christmas

Answer:

16 miles in a half hour

Step-by-step explanation:

divide the hour in half and then divide the 32 mph to get the 16 mph.

Solve x to the 4th power -3 x to the third power minus x squared minus 27x minus 90 equals 0 by finding all roots


Answers

Answer:

4x-27x-54-90=

Step-by-step explanation:

well first you have to subtract x which is -23x              

then u have to bring 90+54 on the other side

which then leaves you with

-23x=144

x=-6.260869565217391

can i also get brainliest please

The equation below has one solution 9X -10 equals 3X +2 what is the solution to the equation

Answers

Answer:

X= 2

Step-by-step explanation:

9x-10

(9*2)-10

18-10

8

3x+2

(3*2)+2

6+2

8

seven times a number equals
70
Show work

Answers

Answer:

7 times 10 equals 70

Step-by-step explanation:

70 divided by 7 equal 10 and 70 divided by 10 equal 7

Victor's crew team needs to raise at least $3,000 for their trip to the state championships. A sponsor generously donated hot dogs and cans of soda for the team to sell at each school sporting event. The crew team members will sell hot dogs for $2 each and sodas for $1 each. Which inequality can be used to calculate how many hot dogs,x, and sodas, y, Victor's team needs to sell to have enough money for the trip?​

Answers

3000>_ 2x+1y

That is the greater than or equal to btw
So the need at least 3000 so that can raise more which is why it’s greater than or equal to. But it’s 2x because hotdogs are the x and they are being sold for two dollars each same with the y as it equals the soda which is being sold for one dollar

Hiiii please help and show how u did it​

Answers

Answer:

x = 23

Step-by-step explanation:

Given

[tex]\frac{x-11}{2}[/tex] - [tex]\frac{x-3}{5}[/tex] = 2

Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions

5(x - 11) - 2(x - 3) = 20 ← distribute and simplify left side )

5x - 55 - 2x + 6 = 20

3x + 49 = 20 ( add 49 to both sides )

3x = 69 ( divide both sides by 3 )

x = 23

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