A bag contains 4 Red, 5 Black and 2
Green beads.
A bead is taken at random, its color is
noted and is replaced.
A second bead is taken.
Find the probability of taking two green
beads.

Answer:

x=28

Step-by-step explanation:

Hi there!

SSS similarity theorem is a theorem that can determine similar triangles; the criteria for SSS~ is that the corresponding sides of the triangles create proportions which is the same as the ratio of similitude (k)

First, we need to find the ratio of similitude.

We need to assume that the triangles are similar.

15 corresponds with 20 (if you turn both triangles until they're titled the same way, you will see that 15 and 20 are the measures of the same sides on the triangles)

so that means 15/20 must make the ratio of similitude

15/20 is equal to 3/4

therefore k=3/4

as the triangle is already assumed similar, that means that 21/x will also give us a ratio that is equal to 3/4 (ratio of similitude)

therefore, 21/x=k

Since both ratios are equal to k, set 3/4 and 21/x equal to each other. This is possible via a property called transitivity (if a=b and b=c, then a=c)

3/4=21/x

cross multiply

3x=84

divide both sides by 3

x=28

So that means that 28 will make the triangles similar by SSS similarity

*you double check by doing 21/28 and see that it's also equal to 3/4

Hope this helps!

Answer:

The slope represents the cost per gallon for heating oil while the y-intercept represents the fee for heating oil.

Hi there!  

»»————-　★　————-««

I believe your answer is:

A vertical shift down one unit.

»»————-　★　————-««  

Here’s why:

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

$5.76

Step-by-step explanation:

We solve using the formula of the area of a rectangular prism

A = 2(LW + LH + WH)

The dimensions of the package are given as: 10 inches horizontally, 4 inches vertically, and 4 inches on the side

=2 × (4 × 10 + 4 × 10 + 4 ×4)

=192 square inches

If the cost of packaging is $0.03 per square inch, the total cost of the package is calculated as:

1 square inch = $0.03

192 square inches = x

Cross Multiply

= 192 × $0.03

= $5.76

Answer:

1: 16.7%

prime number: 50%

Step-by-step explanation:

divide the numbers

Answer:

2/3

Step-by-step explanation:

There are 6 possible numbers

all of the prime numbers from 1 to 6 are

2, 3, 5 ( plus 1 because this problem is counting 1 along with the prime numbers)

That is 4 numbers

4 out of 6 numbers

so there is a 4/6 or 2/3 chance that George will roll a 1 or a prme number

Answer:

x^2 - 2x - 8.

Step-by-step explanation:

Using long division:

x - 2)x^3 - 4x^2 - 4x + 16( x^2 - 2x - 8 <------ Quotient

       x^3 - 2x^2

              -2x^2 - 4x

              -2x^2 + 4x

                         - 8x + 16

                          -8x + 16

                            ............

5^-2 * 5x = 1

Simplify:

5^-2 = 1/25

Now you have 1/25 * 5x = 1

1/25 x 5 = 1/5

1/5x = 1

Divide both sides by 1/5 ( when dividing by a fraction, flip the fraction over an multiply)

x - 1 x 5/1 = 5

X = 5

Answer:

x = 5

Step-by-step explanation:

This statement translates into 5^(-2)*5x = 1, which by rules of exponents simplifies to:

  5x                           x

--------- = 1,  or          ----- = 1

  5^2                          5

Cross-multiplying, we get x = 5

Answer:

semi-regular tessellations

Step-by-step explanation:

Answer:

yehshjdjejrdjjej3u Rudd ixjje

Answer:

$31728

Step-by-step explanation:

sorry if I'm wrong

Given:

The equation is:

[tex]y=-\dfrac{2}{5}x+\dfrac{3}{8}[/tex]

To find:

The function notation for the given equation and then solve the function for the value [tex]x=\dfrac{1}{3}[/tex].

Solution:

We have,

[tex]y=-\dfrac{2}{5}x+\dfrac{3}{8}[/tex]

Substitute [tex]y=f(x)[/tex] in the given equation to find the function notation of it.

[tex]f(x)=-\dfrac{2}{5}x+\dfrac{3}{8}[/tex]

Substituting [tex]x=\dfrac{1}{3}[/tex], we get

[tex]f(\dfrac{1}{3})=-\dfrac{2}{5}(\dfrac{1}{3})+\dfrac{3}{8}[/tex]

[tex]f(\dfrac{1}{3})=-\dfrac{2}{15}+\dfrac{3}{8}[/tex]

[tex]f(\dfrac{1}{3})=\dfrac{-16+45}{120}[/tex]

[tex]f(\dfrac{1}{3})=\dfrac{29}{120}[/tex]

Therefore, the function notation is [tex]f(x)=-\dfrac{2}{5}x+\dfrac{3}{8}[/tex] and the value of the function at [tex]x=\dfrac{1}{3}[/tex] is [tex]\dfrac{29}{120}[/tex].

Answer:

B y = x² +9

Step-by-step explanation:

A quadratic function must have the highest power of x being x^2 and must have an x^2 term

A y = X-9  - linear

B y = x² +9 quadratic

C y = x + 2x -9 - linear

Answer:

A

Step-by-step explanation:

-15(-8)

=+(15*8)

=120

So, the ans is A

Answer:

x = 9 , y = 27

Step-by-step explanation:

Given that the given polygons are similar , So their corresponding sides will be proportional .

Look at the base sides . They are 32 & 24. So the , ratio of sides is ,

=> Ratio = 32/24 = 4/3 .

This ratio will be same for all sides .

So that ,

=> x - 1 / 6 = 4/3

=> 3x - 3 = 24

=> 3x = 27

=> x = 9

Similarly ,

=> y + 1 / 21 = 4/3

=> 3y + 3 = 84

=> 3y = 81

=> y = 27

So the correct choice is last option .

Answer:

Step-by-step explana

multiply it by 2 or sdd itself to it

The  account will have $1536.007 after 9 years.

Part A:

To express the total amount of money A(t) in the account after 7 years, we can use the formula:

A(t) = P[tex](2^t)[/tex]

where:

A(t) is the total amount in the account after t years,

P is the initial amount in the account (starting with $3.00 in this case),

t is the number of years.

Substituting the values into the formula, we get:

A(t) = 3 ([tex]2^7[/tex])

A(t) = 3 x 128

A(t) = 384

Therefore, the total amount of money in the account after 7 years is $384.

B) To find out after how many years the account will have $1536.007, we need to solve the equation:

1536.007 = 3 [tex](2^t)[/tex]

Dividing both sides of the equation by 3, we get:

512.0023333333 = [tex]2^t[/tex]

Taking the logarithm (base 2) of both sides, we have:

log2(512.0023333333) = t

t = 9.000317.

Therefore, the account will have $1536.007 after 9 years.

Learn more about Equation here:

https://brainly.com/question/29538993

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Answer:

Holly would have 20 1/10 sized ribbons.

Step-by-step explanation:

One whole ribbon would equal out to 10, this number multiplied by 2 would be 20. Therefore meaning she should have 20 1/10 sized pieces of ribbon.

Answer:

This is an isosceles triangle, meaning it has 2 congruent angles and one other angle.

Looking at this triangle, we know that ∠B = ∠C.

∠B = 57 degrees

All the angles in a triangle add up to 180, so you need to subtract the two values from 180 to get ∠A.

∠A = 180 - 57 - 57

       = 66 degrees

Hope this helps!

Answer:

30.48 centimeters

Step-by-step explanation:

We know that:

2.54 cm = 1 inch

To find how many centimeters are in 12 inches, you should:

2.54 x 12 = 30.48

So Jacob’s pieces of yarn should be 30.48 centimeters long.

Hope this helps!

Jacob's pieces of yarn should be 30.48 centimeters long.

To find out how many centimeters long Jacob's pieces of yarn should be, we can use the conversion factor that there are 2.54 centimeters in an inch.

Since Jacob needs pieces of yarn that are 12 inches long, we can calculate the length in centimeters using the conversion:

Length in centimeters = Length in inches * Conversion factor

Length in centimeters = 12 inches * 2.54 centimeters/inch

Length in centimeters = 30.48 centimeters

So, Jacob's pieces of yarn should be 30.48 centimeters long.

Learn more about centimeters at https://brainly.com/question/18570674

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Question  

A sphere has a radius of 6 centimeters. What is the volume of the sphere

Given:  

r = 6 cm

Formula:

V = (4/3)πr

Solution:  

V = (4/3)πr

V = (4/3)(3.14)(6)

V = 25.12 cm³

Final Answer:  

25.12 cm³

Answer:

the 48

Step-by-step explanation:

fairly obvious

Answer:

7 gallons

Step-by-step explanation:

Montraie is driving on a long road trip

He currentlyhase 13 gallons of fuel in his car

Each hour that he drives, he uses up 1 gallon of fuel

Therefore the amount of gas that would be left after 6 hours can be calculated as follows

= 13-6

= 7

Hence there will be 7 gallons of fuel left

=

Answer:

Profit Percentage = 50%

Step-by-step explanation:

Cost price, CP = $80

Selling price, SP = $120

Profit = 120 - 80 = $40

[tex]Profit \ \%= \frac{SP - CP}{CP} \times 100 \\\\Profit \ \% = \frac{ profit}{CP} \times 100 = \frac{40}{80} \times 100 = \frac{1}{2} \times 100 = 50 \%[/tex]

9514 1404 393

Answer:

  irrational numbers

Step-by-step explanation:

The real numbers whose decimals do not end and do not repeat are irrational numbers.

__

If a decimal number ends or repeats, it can be represented by the ratio of two integers. That is the essence of a rational number.

Answer:

Irrational numbers

Step-by-step explanation:

Rational numbers are integers. They don't have repeating decimals.

An irrational number is not an integer, because irrational number are "not rational" and all integers can be represented as rational, so irrational numbers decimals repeat.

Answer:

3√2

Step-by-step explanation:

d = √(x2 - x1)² + (y2 - y1)²

√(-2 - 1)² + [2 - (-1)]

√(-3)² + (3)²

√9 + 9

√18

= 3√2

Answer:

y=2x+1

Step-by-step explanation:

Hi there!

We are given the slope (m), which is 2, as well as the point (5,11).

We need to find the equation of the line.

There are 3 ways to write the equation of the line, but the most common type is slope-intercept form, or y=mx+b, where m is the slope and b is the y intercept

We're already given the slope (2), so we can substitute it into the equation right away

here's the equation so far:

y=2x+b

now we need to find b.

We can do this by plugging (5,11) into the equation, as the line passes through that point.

Substitute x as 5 and 11 as y

11=2(5)+b

multiply

11=10+b

subtract 10 from both sides

1=b

substitute 1 as b into the equation

y=2x+1

Hope this helps! :)

Answer:

6>x=4

hope that helps!

please mark brainiest<3

Answer:

if u have any doubts feel free to ask :)

Step-by-step explanation:

Sum of ratio : 9 + 7 + 4 = 20

a)

Adele share :

                   [tex]\frac{9}{20} \times 680 = 9 \times 34 = \$ 306[/tex]

b)

Barbara share :

                    [tex]\frac{7}{20} \times 680 = 7 \times 34 =\$ 238[/tex]

Collette share :

                     [tex]\frac{4}{20} \times 680 = 4 \times 34 = \$ 136[/tex]

c)

    $            €

 1.125           1

 306            x

    [tex]\frac{1.125}{306} = \frac{1}{x}[/tex]          [cross multiply]

[tex]x =\frac{ 306} {1.125}[/tex]

x = €272

Adele receives = €272

d)

Apple        Cost

 1 kg         2.69

 5 kg          y

y = 2.69 x 5 = $13.45

Cost of 5kg of apples = $13.45

Cost of 3 kg bananas = 17.56 - 13.45 = $4.11

Banana             Cost

  3kg                 4.11

   1 kg                 z

  [tex]z = \frac{4.11}{3}[/tex]

z = $1.37

Cost per kilogram of banana = $1.37

e) Collette share = $136

Half of it on clothes = (1/2) x 136 = $68

(1/5) of her share on books = (1/5) x 136 = 27.20

Balance amount with her = 136 - 27.20 - 68 = $ 40.80

Answer:

The coordinates of E are [tex]E(x,y) = \left(\frac{9}{2}, 0 \right)[/tex].

Step-by-step explanation:

The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.

Vectorially speaking, dilation is defined by the following operation:

[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)][/tex] (1)

Where:

[tex]O(x,y)[/tex] - Point of reference.

[tex]P(x,y)[/tex] - Original point.

[tex]P'(x,y)[/tex] - Dilated point.

[tex]k[/tex] - Dilation factor.

By applying this operation, point B becomes point D:

[tex]B(x,y) = (0,4)[/tex], [tex]D(x,y) = (0,6)[/tex]

[tex]D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)][/tex]

[tex]D(x,y) = (0,0) + k\cdot (0,4)[/tex]

[tex](0,6) = (0,0) +(0,4\cdot k)[/tex]

[tex](0, 6) = (0,4\cdot k)[/tex]

[tex]k = \frac{3}{2}[/tex]

Lastly, we transform point C into point E by applying the same operation: [tex]C(x,y) = (3, 0)[/tex], [tex]O(x,y) = (0,0)[/tex] and [tex]k = \frac{3}{2}[/tex]

[tex]E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)][/tex]

[tex]E(x,y) = \left(\frac{9}{2}, 0 \right)[/tex]

The coordinates of E are [tex]E(x,y) = \left(\frac{9}{2}, 0 \right)[/tex].

Answer: I'm not smart or nun but u tryna find the graph? It's (3, -36)

Step-by-step explanation:

Kinda did it-