A dilation centered at the origin maps the point (1,3) to the point (4,12). What is the scale factor of the dilation?

Hello!

[tex]\boxed{ \bf Sheila~will~need~about~7~containers.}[/tex]

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First, we will need to convert the mixed fractions to improper fractions.

Numerators: (2 · 11) + 1 = 23

                      (4 · 1) + 3 = 7

Denominators: stay the same.

11 [tex]\frac{1}{2}[/tex] ⇒ [tex]\frac{23}{2}[/tex]

1 [tex]\frac{3}{4}[/tex]  ⇒ [tex]\frac{7}{4}[/tex]

Next, we must divide these two fractions:

[tex]\frac{23}{2}[/tex] ÷ [tex]\frac{7}{4}[/tex]

We must flip the divisor into a reciprocal:

[tex]\frac{23}{2}[/tex] ÷ [tex]\frac{4}{7}[/tex]

Change the division sign to multiplication and multiply:

[tex]\frac{23}{2}[/tex] × [tex]\frac{4}{7}[/tex] = [tex]\frac{92}{14}[/tex]

To find out how many containers will be needed, simply convert this fraction to a decimal by dividing the numerator by the denominator.

92 ÷ 14 = 7 (Rounded)

Answer:

The correct answer will be 14

Step-by-step explanation:

I am 100% sure!!! Hope this helps.

PLEASE GIVE BRAINIEST!!!

The requried measure of the length of the garden is given as 14.14 feet.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
Baby is planning to put a square garden with an area of 200 square feet
Let the side length be x,
according to the question,
Area of the square = 200
x² = 200
x = 14.14 feet

Thus, the requried measure of the length of the garden is given as 14.14 feet.

Learn more about the surface area here: https://brainly.com/question/2835293

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Answer:

13 in

Step-by-step explanation:

add them all because its says perimeter

Answer: 13 in.

Step-by-step explanation: 1+1+3+5+3 = 13

Answer: 10.9 cm

Step-by-step explanation:

The equation to find the area of a triangle is

Base x height x 1/2 = area

Since you are given the area, rearrange or “do the opposite” to find the base

(Area x 2 ) / height = base

30 x 2 = 60

60/ 5.5 = 10.9

Hope this helped :)

Answer:

a . 9/25

b. 13/25

c. 3/5

Step-by-step explanation:

Firstly, we add the number of balls to get the total number of balls = 3 + 2 = 5 balls

P(R) = number of red/total number of balls = 3/5

P(B) = number of blue/total number of balls = 2/5

Since the experiment is with replacement, whatever ball picked would be returned

a. Probability of both balls being red = P(R) * P(R) = 3/5 * 3/5 = 9/25

b. Probability of both balls being same color;

That is : probability of both balls being red or both being blue

Mathematically that would be;

P(R) * P(R) or P(B) * P(B)

whenever we have or in probability, what we do is to add ;

= (3/5 * 3/5) + (2/5 * 2/5) = 9/25 + 4/25 = 13/25

C. at least one of the balls is red

what this means is that both are red or one of the two is red.

Mathematically;

P(R) * P(R) or P(B) * P(R)

= (3/5 * 3/5) + (3/5 * 2/5)

= 9/25 + 6/25 = 15/25 = 3/5

Answer:

Step-by-step explanation:

Emma jogs 2 miles along the beach in 1/3 of an hour. At a constant rate, the distance that she jogs on 1 hour would be

Let x represent the number of mikes that she would jog in 1 hour.

If 2 miles = 1/3 of an hour, then

x = 1 hour

Cross multiplying, it becomes

x × 1/3 = 2 × 1

x/3 = 2

x = 3 × 2 = 6 miles

The equivalent rate with a denominator of 1 is 6/1 miles

Answer:

The Answer Is 6.  

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Answer:

15

Step-by-step explanation:

Use PEMDAS for this:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

-4(3-5)+10-3(7+4)+30 ​= -4(-2)+10-3(11)+30

-4(-2)+10-3(11)+30 = 8+10-33+30

8+10-33+30 = 18-33+30

18-33+30 = -15+30

-15+30 = 15

Answer:

Female:

Total 26

Male:

Rovers 9

City 8

Total 24

Total (along the bottom):

Rovers 20

United 10

x =14

Answer:

[tex] m\angle ABC = 51°[/tex]

Step-by-step explanation:

11. By inscribed angle theorem:

[tex] 83°=\frac{1}{2} \times (9x+40)°\\\\

83°\times 2 = (9x+40)°\\

166°= (9x+40)°\\

166 = 9x + 40\\

166 - 40 = 9x\\

126 = 9x\\\\

x = \frac{126}{9}\\\\

\huge \red {\boxed {x = 14}} [/tex]

12. Again by inscribed angle theorem:

[tex] (5x+11)°=\frac{1}{2} \times (16x-26)°\\\\

2\times (5x+11)°= (16x-26)°\\

(10x+22)°= (16x-26)°\\

10x + 22 = 16x - 26\\

22+26 = 16x - 10x\\

48= 6x\\\\

x = \frac{48}{6}\\\\

\huge \purple{\boxed {x = 8}}\\

m\angle ABC = (5x+11)°\\

m\angle ABC = (5\times 8+11)°\\

m\angle ABC = (40+11)°\\

\huge \orange{\boxed {m\angle ABC = 51°}} \\

[/tex]

Answer:

less than

[tex]1 \frac{1}{2} [/tex]

I believe

the answer is 32 ounces  this same queston is in my notes

hope it likes you...

Answer:

x=8

Step-by-step explanation:

2.25x=1.5x+6

-1.5x     -1.5x

0.75x=6

3/4x=6

x=6*4/3

x=24/3

x=8

Answer:

8

Step-by-step explanation:

Look at the attachment

Answer:

0.3

Step-by-step explanation:

Given:

Number of small dogs = 18

Number of medium-sized dogs = 12

Number of large dogs = 10

To find: probability that a medium-sized dog will be chosen

Solution:

Probability refers to chances of occurrence of some event.

Probability = number of favourable outcomes/total number of outcomes

Total number of dogs = 18 + 12 + 10 = 40

Number of medium-sized dogs = 12

So,

probability that a medium-sized dog will be chosen = Number of medium-sized dogs/Total number of dogs = [tex]\frac{12}{40}=0.3[/tex]

Answer:

0.3

Step-by-step explanation:

Answer:

A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.

Step-by-step explanation:

is this good?

Answer: In two similar geometric figures, the ratio of their corresponding sides is called the scale factor. To find the scale factor, locate two corresponding sides, one on each figure.

Step-by-step explanation:

Answer:

100÷12=50÷6=25÷3

Step-by-step explanation:

the answer is 25÷3

Answer: 24 units^2

(12*4)/(2)=24

Step-by-step explanation:

Answer:

Step-by-step explanation:

4*12/0.5=96

The height of a rectangular prism is 8.3 cm.

The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface.

We have,

Surface Area = 288 square cm

Base length = 4 cm and width = 9 cm

So, SA of rectangular prism

288 = 2(lw+ wh + lh)

144 = (36 + 9h + 4h)

13h = 144- 36

13h = 108

h = 8.30 cm

Learn more about Surface area here:

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Answer: 25 pi

Step-by-step explanation:

Answer:

The 98% confidence interval for the population proportion of purchases paid with a major credit card is (0.1786, 0.3958).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 94, \pi = \frac{27}{94} = 0.2872[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2872 - 2.327\sqrt{\frac{0.2872*0.7128}{94}} = 0.1786[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2872 + 2.327\sqrt{\frac{0.2872*0.7128}{94}} = 0.3958[/tex]

The 98% confidence interval for the population proportion of purchases paid with a major credit card is (0.1786, 0.3958).

Answer:

24

Step-by-step explanation:

Divide 128 by 6 and get 23.3 but the .3 you need an extra class to fit the .3 in so add one class.

9514 1404 393

Explanation:

Understanding what a variable stands for is essential when substituting values or interpreting answers.

__

For example, consider the equation for arc length:

  s = rθ

The variables stand for ...

For proper use of this formula, it is essential to understand that the variables s and r have the same units of length. The angular measure is not degrees (or grads), but is the unitless measure of angles known as radians.

It would be erroneous to use feet or yards for 'r' and expect the arc length 's' to be in miles. Similarly, it would be erroneous to substitute 30° for θ, instead of the equivalent radian measure π/6.

These errors can be avoided if the variables are properly described.

Answer:

Arc EPF is 240°

Step-by-step explanation:

Since the quadrilateral, EFGH is a trapezoid and EF is parallel to GH, we have;

∠HGF + ∠GFE = 180°

∠GHE + ∠GFE = 180°

∠HGF + ∠HEF = 180°

∴∠HEF = ∠GFE

In ΔHEF and ΔGFE

∠EHF = ∠EGF (Angles subtending the same segment)

With side EF common to both triangles and ∠HEF = ∠GFE , we have;

ΔHEF ≅ ΔGFE (Angle Angle Side rule)

Hence, side FG = EH

For cyclic trapezoid side FG = EH

The base angles subtended by GH = 70

Arc EH = x² - 2·x

Arc FG = 56 - 3·x

Therefore;

70 + x² - 2·x + 56 - 3·x + arc EPF = 360 .............(1)

Also since the equation of a circle is (x-h)² + (y-k)² = r², where the center of the circle is (h, k), then as EF is a displacement of say z from GH, then arc EH = FG which gives;

x² - 2·x = 56 - 3·x

x² - 2·x - 56 + 3·x = 0

x² + x - 56 = 0

(x - 7)(x + 8) = 0

Therefore, since x > 0 we have x = 7

Plugging in the value of x into the equation (1), we have

70 + 7² - 2·7 + 56 - 3·7 + arc EPF = 360 .............(1)

70 + 70 + arc EPF = 360

arc EPF = 360 - 140 = 240°.

Answer:

the height of the tree is about 151 meters

Answer:

x = 2,444

Step-by-step explanation:

3(12x - 24) = 16

36x - 72 = 16

36x = 16 + 72

36x = 88

x = 88/36

x = 2,444

Answer:

twenty six units putfghdjk

Answer:

c

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

11 × 3 = 33

+ 2 = 35

Robin is 11 (11)

Gwen is 2 years (+2) more than 3 times (×3) Robins age

Answer:

35.

Step-by-step explanation:

Hello there!

Solve the given equation to find Gwen's age:

3(11)+2

33+2

35

:)

Answer:

the speed of the plane when there is no wind is 212.25 mi/hr

Step-by-step explanation:

Let v represent the speed of the plane without wind.

Wind speed = 20.1 mi/hr

The resultant speed with wind is;

v + 20.1 mi/hr

The resultant speed against wind is;

v - 20.1 mi/hr

Let t represent the time for the travel.

With wind;

(v+20.1)t = 630 ......1

Against wind;

(v-20.1)t = 521 ......2

Divide equation 1 by 2

(v+20.1)/(v-20.1) = 630/521

Cross multiply;

521(v+20.1) = 630(v-20.1)

Collecting like terms;

v(630-521) = 20.1(630+521)

v = 20.1(1151)/109

v = 212.25 mi/hr

the speed of the plane when there is no wind is 212.25 mi/hr

Answer:

530 ft.

Step-by-step explanation:

π(r)^2

3.14(13)^2

= 530.66 rounded to the nearest whole number

= 530

Answer:

There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.