The tickets for a dozen children to enter the amusement park cost $330. What was the price per ticket?​

Dilation involves enlarging or reducing the size of a shape.

The scale factor of dilation is 1/6

From the complete question, the side lengths of corresponding sides of both triangles are:

[tex]AC =18cm[/tex]

[tex]AC' =3cm[/tex]

This means that, the larger triangle is ABC, while the smaller triangle is AB'C'.

So, the scale factor of dilation from the larger triangle to the smaller triangle is:

[tex]k = \frac{AC'}{AC}[/tex]

This gives

[tex]k = \frac{3cm}{18cm}[/tex]

Remove the common units

[tex]k = \frac{3}{18}[/tex]

Reduce fraction

[tex]k = \frac 16[/tex]

Hence, the scale factor of dilation is 1/6

Read more about dilation at:

https://brainly.com/question/3457976

Answer:

5

Step-by-step explanation:

Hope this helps

Answer:

(8,5)

Step-by-step explanation:

x=8

5*8-2y=30

40-2y=30 .      subtract 40 from both sides

-2y=-10 .           divide both sides by-2

y=5

[tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex]

[tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex],

[tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex]

so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex]

To classify the statements, we need to evaluate each of them:

[tex]\text{Evaluate }2.6\le2.6\\\implies (2.6<2.6)\text{ or }(2.6=2.6)\\\implies \text{false or true}\\\implies\text{true}[/tex]

so [tex]2.6\le2.6[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]2.6[/tex] to be equal to itself.

[tex]\text{Evaluate }-6<-6\\\implies\text{false}[/tex]

so [tex]-6<-6[/tex] classifies as [tex]\text{false}[/tex], since [tex]-6[/tex] is equal to itself, not smaller.

[tex]\text{Evaluate }3.1>-3.1\\\implies \text{true}[/tex]

so [tex]3.1>-3.1[/tex] classifies as [tex]\text{true}[/tex], since [tex]x>-x[/tex], for all real numbers

[tex]\text{Evaluate }-5\ge-5\\\implies (-5>-5)\text{ or }(-5=-5)\\\implies \text{false or true}\\\implies\text{true}[/tex]

so [tex]-5\ge -5[/tex] classifies as [tex]\text{true}[/tex], since the statement also allows [tex]-5[/tex] to be equal to itself.

Learn more about inequalities here: https://brainly.com/question/24786628

Answer:

See step-by-step below!

Step-by-step explanation:

a) Moe's list:

Average=26

Median=33

Mode= 23

b) Curly's list

Average= 28

Median= 42

Mode= 22

Answer:

x=10

Step-by-step explanation:

We know that the values will be the same because of a geometry rule (i don't remember which one sorry) so we can rewrite the equation as

6x=5x+10      Then, subtract 5x from both sides

x=10

I'm assuming this is what the question is asking

Answer:

1

Step-by-step explanation:

there are 31 days in October so if he loses one each day he loses 31

The residual of a regression is the difference between the actual value and the predicted value

The true statement about the residual plot is (c) Yes, the points are in a linear pattern

The entries are given as:

x  Given  Predicted    Residual

1    -2.7         -2.84              

2    -0.9         -0.81            

3     1.1            1.22              

4     3.2          3.25              

5     5.4          5.28

The residual of a line of best fit is calculated using:

[tex]Residual = Actual - Predicted[/tex]

Using the entry headings, the formula would be:

[tex]Residual = Given - Predicted[/tex]

So, the residuals of the 5 entries are:

[tex]Residual_1 = -2.7 - -2.84 =0.14[/tex]

[tex]Residual_2 = -0.9 - -0.81 =-0.09[/tex]

[tex]Residual_3 = 1.1 - 1.22 =-0.12[/tex]

[tex]Residual_4 = 3.2 - 3.25 =-0.05[/tex]

[tex]Residual_4 = 5.4 - 5.28 =0.12[/tex]

So, the entries become:

x  Given  Predicted    Residual

1    -2.7         -2.84             0.14

2    -0.9         -0.81            -0.09

3     1.1            1.22             -0.12

4     3.2          3.25           -0.05

5     5.4          5.28            0.12

See attachment for the residual plot.

From the plot, we can see that the points are in a linear pattern.

Hence, the true statement about the residual plot is (c)

Read more about residuals at:

https://brainly.com/question/4333650

Answer:

\mathrm{Domain\:of\:}\:x^3+3x^2-x-3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

The graph starts at 5000 gallons on the vertical axis, and increases at the rate of 1250 gallons per hour, or 5000 gallons per 4 hours until 20,000 gallons is reached after 12 hours.

__

Additional comment

We don't have access to your segment tool, so you will have to copy the graph.

Answer:

yes they are like terms

Step-by-step explanation:

they are like terms as the variables are same 5c-4c+

Hello there!

Hope it helps.

Good luck with your studies.

Answered by

~A lonely teen who helps people joyfully

Grace

Answer:

bye

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

edge

Answer:

6; 6⁒2

10; 10⁒2

0; 3(0)+3

1; 3(1)+3

2; 3(2)+3

3; 3(3)+3

4; 3(4)+3

Step-by-step explanation:

each line is in order.

Answer:

  6. inputs: 2, 6, 10

  8. inputs: 0, 1, 2, 3, 4

Step-by-step explanation:

Use your knowledge of arithmetic facts.

x = 2, 2÷2 = 1

x = 6, 6÷2 = 3

x = 10, 10÷2 = 5

__

x = 0, 3×0 +3 = 3

x = 1, 3×1 +3 = 6

x = 2, 3×2 +3 = 9

x = 3, 3×3 +3 = 12

x = 4, 3×4 +3 = 15

Answer:

209259

Step-by-step explanation:

45200 / 21.6 = 209259.259259

209259.259259 rounded to nearest whole number = 209259

Answer:

x-intercept(s): ( 4 , 0 )

y-intercept(s): ( 0 , 3 )

x = 4

y = 3

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): ( 4 , 0 )

y-intercept(s): ( 0 , 3 )

slope = -0.750

Answer:

  base: 22 37/54; sides: 56 17/108

Step-by-step explanation:

If we let x represent half the length of the base, and y represent the length of the side, then we have ...

  2x +2y = 135 . . . . . perimeter relation

  x^2 +55^2 = y^2 . . . . Pythagorean theorem relation

Solving for y and substituting into the second equation, we have ...

  y = 135/2 -x

  x^2 + 3025 = (67.5 -x)^2

  3025 = -135x +4556.25 . . . . . . expand, subtract x^2

  135x = 1531.25 . . . . . . . . . . add 135x -3025

  x = 1531.25/135 = 11 37/108

The length of the base is double this value, 22 37/54.

The length of each side is 67.5 -11 37/108 = 56 17/108.

__

Check

The perimeter is the base plus two side lengths:

  22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.

Answer:

56 miles

Step-by-step explanation:

Let x is the total distance Sam will travel today

Sam has already biked 12 + x/4 miles

He needs to bike 3x/8 (x.3/8) + 9 miles

12 + x/4 + 3x/8 + 9 = x

21 + x/4 + 3x/8 = x

21 + 2x/8 + 3x/8 = x

21 + 5x/8 = x

21 = x - 5x/8

21 = 3x/8

21.8 = 3x

168 = 3x

x = 168/3

x = 56 (miles)

Answer:

Step-by-step explanation:

Answer:

10 is B

11 is D

Step-by-step explanation:

Answer: 1 4/5

Step-by-step explanation:

3 5/10 - 1 7/10 = 1 8/10

1 8/10 = 1 4/5

Answer:

c

Step-by-step explanation:

hope this helps

Es probable que el número de personas a las que si les gusta comer huevo al desayuno todos los días sea 90 personas.

Según principios estadísticos, es posible determinar una tendencia general utilizando una muestra de la población. En otras palabras, es posible tener una idea aproximada de las preferencias de una población si se logran determinar las preferencias de un pequeño grupo de dicha población.

En este caso sabemos que la población total equivale a 3120 habitantes, la muestra equivale a 620 personas y en la muestra 18 personas comen huevo al desayuno todos los días.

Usando una regla de tres podemos determinar la tendencia general:

Es decir que aproximadamente 90 personas tienen esta misma preferencia.

Aprenda más de estadística en: https://brainly.com/question/10678542

Answer:

26

Step-by-step explanation:

3*8=24+2=26

Answer:

12

Step-by-step explanation:

-2xy

Let x = -1 and y =6

-2 ( -1) (6)

Multiply

2 (6)

12

Answer:

alternate exterior means outside of the two parallel lines so your answer is 7 because alternate means other side of transversal

Answer:

6.) x=5/4

7.) x=-6

Also, since your worksheet in paratheses says it would help to graph number 7, I attached a graph for it. :)

Step-by-step explanation:

Just ask!

Hope this helps. :))

Sorry if I'm wrong.

~Happy Holidays!!~ o(*￣▽￣*)ブ