Every evening for the months of September and October, the following eight Gry ndor students, Harry, Ron, Hermione, Ginny, Fred, George, Seamus, and Dean will play a game of Exploding Snap. Let's suppose that each night, exactly three of them play one game. Can there be a game of Exploding Snap every evening throughout September and October without having the same three Gry ndors play a game twice

Answers

Answer 1

Answer:

Yes.  There can be 56 games (92%) of Exploding Snap every evening throughout September and October that can be played without having the same three Gry ndors play a game twice.

Step-by-step explanation:

This is a combination game without repetition.

The formula for combination without repetition is:

n! /r! (n - r)!

where n = 8 and r = 3

Therefore, n! /r! (n - r)!

= 8! / 3! (8 -3)!

= 40,320 / 6 (120)

= 40,320 / 720

= 56

There are 30 nights in September and 31 nights in October, totaling 61 nights

This implies that 56/61 games can be played in these two months without repeating the same three gamers.

56/61 = 0.918

= 92%


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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

steps are below

step 1

(2x+1)^2 - (x+3)^2  equation

step 2

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Answer:

Step-by-step explanation:

5x + 10 - 3x = 2x - 10

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Answer: -3.73

Step-by-step explanation:

Hope it's correct.

Glad I could help!

Below is the total benefit Michelle estimates she would get for eating handfuls of dried cranberries in one sitting. Number of Handfuls Total Benefit (dollars) 1 $2.00 2 $3.50 3 $4.50 4 $5.00 5 $5.25 6 $5.00 7 $4.00 If a handful of dried cranberries costs $0.50, what is the optimal number of handfuls for Michelle to eat? 2 3 4 5 6
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Answer:

5

Step-by-step explanation:

Can a wheel make 72 revolutions per minute

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Answer:

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Write an equation for the line that passes through the point -3,2 and is parallel to line 4X + 2Y= -10

Answers

9514 1404 393

Answer:

  2x +y = -4

Step-by-step explanation:

The equation of the given line can be simplified by dividing all of the numbers by 2:

  2x +y = -5

The parallel line can have the same coefficients of x and y, but will have a different constant. The constant will be appropriate to the given point, so will be ...

  2x +y = constant

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The parallel line is ...

  2x +y = -4

Adélie penguins in the Danger Islands represent about 55% of the total Adélie penguin population in the Antarctic Peninsula. They calculated a total of 1,503,054 penguins on the islands.



What is the total estimated Adélie penguin population in Antarctica?

Answers

Answer:

Adélie penguins= 826,680

Step-by-step explanation:

Giving the following information:

Total penguin population= 1,503,054

Adélie penguins= 55%

To calculate the number of Adélie penguins, we need to use the following formula:

Adélie penguins= total penguin polulation*proportion of Adélie penguins

Adélie penguins= 1,503,054*0.55

Adélie penguins= 826,680

Help please

Use the following figure to find the answer

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the answer is a c....

Which equation represents a line which is perpendicular to the line 4x
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Answer:

y=4x +7 (top-left)

Step-by-step explanation:

They have the same exact slope meaning they can not cross.

The only time they would cross is if they had the same y-intercept. Which they  don't

pls help me and really fast​

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B -1 1/4 because -6/4 is -1 2/4 and when u go to the right ur getting closer to positive so ya

If cos a= 0.93,Sin 0 =0.26, and tan ß = 0.84, find a + B + 0.

Answers

Answer:

76.665

Step-by-step explanation:

Given that,

cos α = 0.93, Sin θ =0.26 and tanβ = 0.84

We need to find the value of α, β and θ

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So,

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Hence, the final answer is 76.665.

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The energy created by the WHAT
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bond a phosphate group to ADP, synthesizing ATP
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Answer:

ATP synthase utilizes energy of the proton gradient to attach phosphate group to ADP.

Step-by-step explanation:

only odd numbers are prime numbers true or false?

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Answer:

False.

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幸運を!

Select the correct graph of the function y = –1/8(x – 1)2 – 4 below.

Question 8 options:

A)

image

B)

image

C)

image

D)

image

Answers

Step-by-step explanation:

The given function is :

[tex]y=\dfrac{-1}{8}(x-1)^2-4[/tex] ...(1)

It is an equation of parabola. The vertex form for equation of parabola is given by :

[tex]y=a(x-h)^2+k[/tex] ...(2)

Here,

Vertex = (h,k), axis = h and rate = a

From equation (1) and (2) :

a = -1/8, h = 1 and k = -4

The atached graph shows the graph for the given equation.

find the value of x that make it true

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Answer:

Step-by-step explanation:

1). 10 = [tex]\frac{1+7x}{7+x}[/tex]

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   3x = -69

   x = -23

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    0.2(12 + x) = 6 + 2x

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    x = -2

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Determine if the two triangles are congruent. If they are, state how you know.
A. SAS
B. not enough information
C. SSS
D. AAS

Answers

Answer:

A. SAS

Step-by-step explanation:

Since the marked angle is between the marked sides, and the corresponding sides are marked as congruent, the two triangles are congruent by SAS (side angle side).

A. SAS is the answer




PLiss i really need help pliss, plisss

Answers

Step-by-step explanation:

I tried. if I got this wrong I might need to go back to kindergarten

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Answers

Answer: 127^9 so 8594754748609400000

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Please use the simplest format​

Answers

Answer:

option D is true.

Step-by-step explanation:

The right-angled triangle is shown.

From the right-angled triangle,

The angle Ф = 60°

We know that the trigonometric ratio

tan Ф = opposite / adjacent

opposite = 4adjacent = n

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tan 60 = 4 / n

√3 = 4/n

n = 4/√3

Thus,

n = 4/√3

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  = 4√3 / 3

Thus,

n  = 4√3 / 3

Using Pythagorean theorem

m = √n²+4²

[tex]m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}[/tex]

[tex]m=\sqrt{\frac{4^2}{3}+4^2}[/tex]

[tex]m=\sqrt{\frac{64}{3}}[/tex]

[tex]m=\frac{8}{\sqrt{3}}[/tex]

[tex]m=\frac{8\sqrt{3}}{3}[/tex]

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

x = -7

Step-by-step explanation:

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Therefore the last remaining angle in the triangle will be 85 degrees, since it is vertically opposite of the 85 degree angle.

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Therefore, use the equation below to solve for x:

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PLEASE ANSWER
Daniel works in a market. He has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each. If he uses up all the potatoes, how many smaller bags of potatoes will Daniel have filled?

Answers

Answer:

When 6514 is divided by 214, it equals approximately 30.4. So Daniel will have filled 30 smaller bags.

what is the answer to the question 1 plus the number 1

Answers

Answer:

2

Step-by-step explanation:

1 +1 = 2

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Answer:

i know

Step-by-step explanation:

bro

if m this is so confusing

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55 + 180 = 235

BDC = 235

Can someone help with this ?

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Step-by-step explanation:

120/-10  = -12

-10b/-10 = b

b=-12

Answer:

b= -12

Step-by-step explanation:

you would divide -10 on both sides of the equation and get -12= b or b= -12.

There are 32 carpenters in a work crew. On a certain day, 24 were present. What
percent showed up for work?

Answers

Answer:

75%

Step-by-step explanation:

24/32 = .75 move decimal twice to the right to change to %

= 75%

find the coordinates of the centroid of the triangle with the given vertices. D(-4, -2), E(1, 0), F(9, 5)

Answers

Answer:

[tex] (x, y) = (2, 1) [/tex]

Step-by-step explanation:

Given vertices of a triangle:

[tex] (x_1, y_1) = (-4, -2) [/tex]

[tex] (x_2, y_2) = (1, 0) [/tex]

[tex] (x_3, y_3) = (9, 5) [/tex]

Using the centroid formula:

[tex] (x, y) = (\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}) [/tex]

Plug in the values into the formula

[tex] (x, y) = (\frac{-4 + 1 + 9}{3}, \frac{-2 + 0 + 5}{3}) [/tex]

[tex] (x, y) = (\frac{6}{3}, \frac{3}{3}) [/tex]

[tex] (x, y) = (2, 1) [/tex]

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