PLEASE ANSWER

The two pentagons seen below are similar figures. What is the scale factor from the
small pentagon on the left to the large pentagon on the right? The pentagons are not
drawn to scale.

Answer:

0.06546.

Step-by-step explanation:

Total number of tickets = 715

Good raffle tickets  (Prize) = 4

Number of tickets bought = 12

[tex]\text{Probability of winning}=\dfrac{\text{Number of tickets bought}}{\text{Total raffle tickets}}[/tex]

[tex]\text{Probability of winning}=\dfrac{12}{715}[/tex]

[tex]\text{Probability of not winning}=1-\dfrac{12}{715}=\dfrac{703}{715}[/tex]

Let x be event of the number of winning prizes.

Probability that you will win at least 1 of the raffles is

[tex]P(x\geq 1)=1-P(x=0)[/tex]

[tex]P(x\geq 1)=1-^{4}C_0\left(\dfrac{12}{715}\right)^0\left(\dfrac{703}{715}\right)^{4-0}[/tex]

[tex]P(x\geq 1)=1-\left(\dfrac{703}{715}\right)^{4}[/tex]

[tex]P(x\geq 1)=1-0.93454[/tex]

[tex]P(x\geq 1)=0.06546[/tex]

Therefore, the required probability is 0.06546.

Answer:

0.94 liters antifreeze is  drained out and replaced with water to get a concentration to 50 per cent of the solution.

Step-by-step explanation:

Total amount of the solution is 4.7 liters.

It contains 70 percent antifreeze = 70% * of 4.7 = 3.29 liters of antifreeze

It contains 30 percent water = 30% * of 4.7= 1.41 liters water

For the solution to have 50 % antifreeze it must contain

4.7 * 50%= 2.35 antifreeze.

We have 3.29 liters and we want to have 2.35 liters of antifreeze

Therefore we will (3.29-2.35 =)0.94 liters drained out and replace it with water to get a concentration to 50 per cent.

The number of men and women in the group will be 18 and 26 respectively.

Given is that there are eight more women than men in a theater group. The group has a total of 44 members.

Let the number of men in the group be {x}. Then, the number of women will be (x + 8). We can write -

x + (x + 8) = 44

2x = 36

x = 18

Number of women : x + 8 = 26

The number of women in the group will be 26.

Therefore, the number of men and women in the group will be 18 and 26 respectively.

To solve more questions on algebraic expressions, visit the link below -

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A wheel with a 20 in diameter has a circumference of 2π*(20 in) = 40π in.

For every 40π in traveled, a wheel makes one complete revolution, or turns an angle of 2π rad.

We need to convert from in to mi: there are 12 in to 1 ft, and 5280 ft to 1 mi, and so there are 12*5280 = 63,360 in to 1 mi.

We also need to convert h to min: there are 60 min to 1 h.

So we have an angular speed of

(45 mi/h) * ((2π)/(40π) rad/in) * (63,360 in/mi) * (1/60 h/min) = 2376 rad/min

As mentioned before, there are 2π rad to 1 rev, so

(2376 rad/min) * (1/(2π) rev/rad) ≈ 378.152 rev/min

(where rev/min is equivalent to rpm)

Answer:  -3

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

this answer is 25, essentially you just remove the negative hope this helps

Answer:

The amount invested are $2600 and $11400 respectively

Step-by-step explanation:

Let the first amount be x

Given:

(First Investment)

Principal (P1) = x

Rate (R1) = 4.5%

Time (T) = 1 year

(Second Investment)

Principal (P2) = 4x + 1000

Rate (R2) = 6%

Time (T) = 1 year

Income = $801

Calculating the income from the first investment;

[tex]I_1 = \frac{P_1R_1T}{100}[/tex]

Substitute values for P1, R1 and T

[tex]I_1 = \frac{x * 4.5 * 1}{100}[/tex]

[tex]I_1 = \frac{4.5x}{100}[/tex]

Calculating the income from the second investment;

[tex]I_2 = \frac{P_2R_2T}{100}[/tex]

Substitute values for P2, R2 and T

[tex]I_2 = \frac{(4x + 1000) * 6 * 1}{100}[/tex]

[tex]I_2 = \frac{6(4x + 1000)}{100}[/tex]

[tex]I_1 + I_2 = Annual\ Income[/tex]

So:

[tex]\frac{4.5x}{100} + \frac{6(4x + 1000)}{100} = 801[/tex]

Multiply through by 100

[tex]100 * \frac{4.5x}{100} +100 * \frac{6(4x + 1000)}{100} = 801 * 100[/tex]

[tex]4.5x +6(4x + 1000) = 801 * 100[/tex]

[tex]4.5x +24x + 6000 = 80100[/tex]

Collect Like Terms

[tex]4.5x +24x = 80100 - 6000[/tex]

[tex]28.5x = 74100[/tex]

Divide through by 28.5

[tex]x = \frac{74100}{28.5}[/tex]

[tex]x = \$2600[/tex]

Recall that; the second invest

Amount Invested = 4x + 1000

This gives

[tex]Amount = 4 * \$2600 + 1000[/tex]

[tex]Amount = \$11400[/tex]

Hence;

The amount invested are $2600 and $11400 respectively

Answer:

plz explain correctly please

Answer:

It would be Associative because she is Multiplying in different groups, so for example you said that she didn't know what 24 x 4 was so then she took 3 x 4 so she just regrouped the numbers to get the answer needed.

Answer:

-3

Step-by-step explanation:

Plug in -3

2(-3)+3

Remember PEMDAS

Parentheses first: 2(-3)=-6

-6+3=-3

Hope this helps :)

Answer:

531441/4

Step-by-step explanation:

Answer:

81.75!

Step-by-step explanation:

hope this helps! i worked this one out so if its wrong please tell me! シ︎

Answer:

The answer is B

Step-by-step explanation:

Answer: B- Indirect characterization is used to show that Steve is isolated and worried.

Step-by-step explanation:

Answer:

[tex]\boxed{\bold{\huge{\boxed{\mathrm{Third\ Angle = 19.1\ degrees}}}}}[/tex]

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees. So, to find an unknown interior angle, we need to subtract rest of the two angles from 180 degrees.

So,

Third Angle = 180 - 118.6 - 42.3

Third Angle = 19.1 degrees

Answer:

La suma de los ángulos interiores de un dodecágono es 1800°

Step-by-step explanation:

Un dodecágono es un polígono (figura plana delimitada por lados rectos, creando una figura cerrada) formado por 12 lados, 12 vértices y por consiguiente, 12 ángulos interiores.

Los ángulos interiores de un polígono son los ángulos delimitados por dos lados y que se encuentran dentro del polígono.

Los polígonos convexos son aquellos en los cuales todos los ángulos del polígono miden menos de 180º y la suma de los ángulos interiores es determinada por el número de lados que posee el polígono de la siguiente manera: 180°*(n-2)

Entonces, la suma de los ángulos interiores de un dodecágono se calcula como: 180*(12-2)= 1800

La suma de los ángulos interiores de un dodecágono es 1800°

Answer:

50 granola bars

Step-by-step explanation:

800 divided get 50 bars

Answer:

a) 1.8 × 10^-12 cm³ or 1.8 × 10^-12 cubic meters

b) 7.1 × 10^-6 mm² or 7.1 × 10^-6 square millimeters

Step-by-step explanation:

a) We are assuming that the shape of the bacteria is a sphere.

Hence, Volume of the Sphere(Bacteria) = 4/3 × π × r³

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the volume should be in cubic centimeters

Converting 0.75μm to centimeters

1 μm = 1 × 10^-4 cm

0.75 μm =

Cross Multiply

= 0.75 μm × 1 × 10^-4 cm/ 1 μm

= 0.000075cm

Volume of the Sphere(Bacteria) = 4/3 × π × r³

= 4/3 × π × (0.000075)³

= 1.767145867 × 10^-12 cm³

Approximately as 2 significant figures = 1.8 × 10^-12 cm³

b) The formula for the Surface area of a Sphere = 4πr²

Diameter = 1.5 μm

Radius = Diameter/2 = 1.5μm/2

= 0.75μm

We are told that the surface area should be in square millimeters

Converting 0.75μm to millimeters

1 μm = 0.001 mm

0.75 μm =

Cross Multiply

= 0.75 μm ×0.001mm/ 1 μm

= 0.00075mm

Surface Area of a Sphere

= 4 × π × r²

= 4 × π × 0.00075²

= 7.06858 ×10^-6 mm²

Approximately to 2 significant figures

= 7.1 × 10^-6 mm²

Answer:

155

Step-by-step explanation:

∠QOR= 25

∠POQ = x

here sum of both angles is 180 ( by linear pair)

therefore,

∠QOR + ∠POQ =180

25 + x = 180

x=180-25

x=155

hence, ∠POQ= 155

Answer:

No. It's 15,609

Step-by-step explanation:

The fifteen thousand represents the 15,000

The six hundred is 600

The nine is 9.

So it is 15,609

Answer:1.33333333333 hamburgers every minute

Step-by-step explanation:40 burgers ÷ 30minutes = 1.333333 burgers every minute

Answer

81 tokens

Step-by-step explanation:

x+12-4=170

x+8=170

 -8   -8

x=162

     162/2=81 tokens

The number of tokens he had before he started playing the game is 81 tokens.

Given,

James is playing an arcade game with tokens.

In the first game, he hits the jackpot and doubles the number of tokens that he has.

In the second game, James wins 12 more tokens.

In his third and final game, he loses 4 tokens. James now has 170 tokens.

We need to find how many tokens did he have before he started playing the game.

Doubles = multiply by 2

x more than M = M + x

Loses x from M = M - x

We have,

Let the number of tokens he had initially be M.

First game:

Doubles the number of tokens

= 2M

Second game:

James wins 12 more tokens.

=  2M + 12

Third game:

Loses 4 tokens.

= 2M + 12 - 4

= 2M + 8

James now has 170 tokens

This means:

2M + 8 = 170

2M = 170 - 8

2M = 162

M = 162 / 2

M = 81

Thus the number of tokens he had before he started playing the game is 81 tokens.

Learn more about  how to find the number of games played with a number of tokens here:

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Answer:

48

Step-by-step explanation:

surface area is the outside of everything.

Answer:

62.5%

Step-by-step explanation:

75/120 x 100

= 62.5%

Answer:

A. (40⋅1/1+3)+(40⋅2/2+3)

Step-by-step explanation:

Given that:

[tex]\sum \limits ^2 _{k=1} \dfrac{40 \ k }{k + 3}[/tex]

which can be expressed as:

=[tex]\dfrac{40\times 1 }{1 + 3} + \dfrac{40\times 2 }{2 + 3}[/tex]

=[tex]\dfrac{40 }{4} + \dfrac{80 }{5}[/tex]

= [tex]10+ 16[/tex]

= 26

∴

[tex]\sum \limits ^2 _{k=1} \dfrac{40 \ k }{k + 3} = 26[/tex]

Answer:t

Step-by-step explanation:

3x + 4 = 13

3x = 9

x = 3

Option 3

Answer:

subtract 4 then divide by three

Step-by-step explanation:

Answer:

$134.71

Step-by-step explanation:

This is a simple interest question

A = P(1 + rt)

A = Amount after t months or years

P = Principal or amount saved

r = interest rate = 5.18% = 0.0518

t = time.in years = 18 months

= 1 year and 6 month

= 1.5 year

A = $125( 1 + 0.0518 × 1.5)

A = $125 ( 1 + 0.0777)

A = $125(1.0777)

A = $134.71

Answer:

what do we know?

we know that a quarter is $0.25 and a nickel is $0.05

4x$.25 = $1

20x$0.05 = $1

and we have 84 coin

n = the number of nickels

q = the number of quarters

(1) n + q = 84 and

(2) 5*n + 25*q = 100*11.80 (always work in cents)

(3) 5*n + 25*q = 1180

Now substitute n from equation (1) into equation (3) and get

5*(84 - q) + 25*q = 1180

420 - 5*q + 25*q = 1180

20*q = 1180 - 420

20*q = 760

q = 38

Then using equation (1), plug in q

n + 38 = 84

n = 46

now check these values.

Is (.05*38 + .25*46 = 11.80)?

Is (2.30 + 9.50 = 11.80)?

Is (11.80 = 11.80)? Yes

Step-by-step explanation:

Plz Mark me as brainliest

Answer: 7 quarters and 19 nickels

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

96,240

a-9

2,3

8,9

Answer:

Step-by-step explanation:

10-5=5

Answer:

10

Step-by-step explanation:

The least common multiple is the smallest number that all 3 numbers will multiply properly to. In this case it is 10, because it is a multiple of all three of the numbers (2x5, 5x2, 10x1) and is the smallest as it cannot go below the largest number (10)

Hope this helped!

Answer:

10

Step-by-step explanation:

The least common multiple 10 is a product of common & odd prime factors between the integers which is divisible by each one an integer of this same group.

Answer:

Step-by-step expl1 3/4 / 2/5 = 35

8

= 43

8

= 4.375

Answer:

Step-by-step explanation:

[tex]4x+2x=24\\\\\mathrm{Add\:similar\:elements:}\:4x+2x=6x\\6x=24\\\\\mathrm{Divide\:both\:sides\:by\:}6\\\frac{6x}{6}=\frac{24}{6}\\\\Simplify\\x=4[/tex]

Answer:

x =4

Step-by-step explanation:

[tex]4x+2x=24[/tex]

Simplify

[tex]6x = 24[/tex]

Divide both sides of the equation by 6

[tex]\frac{6x}{6} = \frac{24}{6} \\\\x = 4[/tex]