DJ Davon is making a playlist for work; he is trying to decide what 12 songs to play and in what order they should be played. If he has his choices narrowed down to 14 blues, 25 country, and 21 disco songs, and he wants to play an equal number of blues, country, and disco songs, how many different playlists are possible

Answers

Answer 1

Answer:

3.63 * 10^19

Step-by-step explanation:

Given that :

Number of choices to select = 12

Category available :

Blues - 14

Country - 25

Disco - 21

To select an equal number of song for each category ; then 4 songs will be selected from each :

Using combination :

(14C4 * 25C4 * 21C4)

Since the order matters for the 12 selected songs ; it thus requires 12 permutation

Thus ;

(14C4 * 25C4 * 21C4) * 12!

nCr = n! / (n-r)!r!

Using calculator;

14C4 = 1001 ;

25C4 = 12650

21C4 = 5985

12! = 479001600

Hence,

(1001 * 12650 * 5985) * 479001600

= 36301596217286400000

=3.63 * 10^19


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if you put a picture of the equation here, then i will be able to help you! :)

what is .03 as a whole number

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Answer:

we are going to be an equal number of adenine and thymine include the following at the

please help me thank you so much:)

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Step-by-step explanation:

5 for $2.25 means 1 for $0.45

So, we have

1: 0.45

2: 0.9

3: 1.35

4: 1.8

10: 22.5

15: 33.75

20: 45

100: 225

n = 0.45c

Pleaseeee I need help ASAP!!!

Answers

Answer:

6 times.

Explanation:

Since she served 3 salads that contain 2/3 cup of blueberries each, and her measuring cup only holds 1/3 cup, she'll have to measure the blueberries 6 times in total, doing 2 measurements per salad (2 x 1/3 = 2/3). Since 2 x 1/3 cup is 2/3 cup, and there are 3 salads in total (multiply 2 measurements by 3 salads), this means she measures the blueberries 6 times.

what’s the answer for each question? number 1 and number 2 are separate.

Answers

Answer:

1. is 38 and 69 degrees i think

2. is 90 degrees bc it is a 90 degree angle and 90 + 90 = 180 which all interior angles equal.

nick started 60% of his team's football games this year he started in a total of 12 games

Answers

Answer:

20

Step-by-step explanation:

Find the value of -|-2 + 9|
A. 7
B. -11
C. -7​

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-(-2 + 9)  Equation/Question

Step 2

-(-2 + 9)  Simplify

-(-2 + 9)

Step 3

-(-2 + 9)  Solve by adding

-(7)

=-7

Answer

-7



Goran wants to save $900 to buy a TV. He saves $18 each week. The amount, A (in dollars), that he still
needs after w weeks is given by the following function.
A (w)= 900 - 18
Answer the following questions.
(a) If Goran still needs S576, how many weeks has he been saving?
weeks
(b) How much money does Goran still need after 5 weeks?
PLZ HELP :(

Answers

A is 18 weeks and B is and he will need 810 more dollars after 5 weeks for b

A professional soccer player has a large collection of headbands in their wardrobe comprised of five different colours. The headbands can only be distinguished by their colour. If the soccer player grabs four headbands from their wardrobe for an upcoming soccer tournament, how many possible outcomes are there

Answers

Answer: There are 70 outcomes.

Step-by-step explanation:

The number of combinations for n things if r thing s have been chosen ( repetition is allowed) = [tex]C(n+r-1, n-1)[/tex]

Here , n= 5 , r= 4

The possible outcomes = [tex]C(5+4-1, 5-1)= C(8,4)[/tex]

As [tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

So, The possible outcomes = [tex]\dfrac{8!}{4!(8-4)!}[/tex]

[tex]=\dfrac{8\times7\times6\times5\times4!}{4\times3\times2\times1\times4!}\\\\=70[/tex]

Hence, there are 70 outcomes.

read the instructions

Answers

Answer:

Step-by-step explanation:

[tex]\frac{5x - 2}{4}+\frac{1}{2}=\frac{3y+2}{2}[/tex]

Multiply the equation by 4

[tex]4*\frac{5x - 2}{4}+4*\frac{1}{2}=4*\frac{3y+2}{2}\\[/tex]

5x - 2 + 2 = 2*(3y + 2)

5x +0 = 2*3y + 2*2

5x = 6y + 4

5x - 6y = 4 --------------------(I)

[tex]\frac{7y+3}{3}=\frac{x}{2}+\frac{7}{3}\\[/tex]

Multiply the equation by 6

[tex]6*\frac{7y+3}{3}=6*\frac{x}{2}+6*\frac{7}{3}\\[/tex]

2*(7y + 3) = 3x + 2*7

14y + 6 = 3x + 14

14y = 3x + 14 - 6

14y = 3x + 8

-3x + 14y = 8 ------------------------(II)

Multiply equation (I) by 3 and equation (II) by 5 and then add

(I)*3              15x - 18y = 12

(II)*5           -15x  + 70y = 40     {Now add}

                          52y = 52

                              y = 52/52

                            y = 1

Substitute y =1 in equation (I)

5x - 6*1 =  4

5x - 6 = 4

      5x = 4 +6

      5x = 10

         x = 10/5

x = 2

Quadrilateral ABCD has the following vertices:
A(-3,0)
B(7,2)
C(1,-4)
D(-9,-6)
Is quadrilateral ABCD a parallelogram, and why?

Answers

Answer: yes

Step-by-step explanation:

Answer:

yes because AB II CD and BC II AD

Step-by-step explanation:

Quadrilateral ABCDABCDA, B, C, D has the following vertices:

A(-3,0)A(−3,0)A, left parenthesis, minus, 3, comma, 0, right parenthesis

B(7,2)B(7,2)B, left parenthesis, 7, comma, 2, right parenthesis

C(1,-4)C(1,−4)C, left parenthesis, 1, comma, minus, 4, right parenthesis

D(-9,-6)D(−9,−6)D, left parenthesis, minus, 9, comma, minus, 6, right parenthesis

Is quadrilateral ABCDABCDA, B, C, D a parallelogram, and why?

I got it right on khan academy

Which number line represents the solution of x + 3 > 2?

Answers

Answer:

x > -1

(-1, infinity)

Step-by-step explanation:

Please help u will get brainliest

Answers

She will need 1/2 cup of onions if she is making 12 cups of soup.

Answer:

1/2 cups

Step-by-step explanation:

She will need 1/2 cups.

She needs 1/2 cups, because she is making 12 soups.

Hope this helped

Here a easy question for 20 points

Answers

Answer:

Step-by-step explanation:

the smaller triangle x=112

the larger triangle x=62

Combine the like terms: 4g + 3 - 2g​

Answers

Answer:

2g+3

Step-by-step explanation:

Answer:

2g+3

Step-by-step explanation:

Subtract 2g from 4g

Which of the following formulas can be used to calculate the area of a circle with diameter d?

Answers

Answer:

The last one

Step-by-step explanation:

To find an area of a circle its with the formula...

A = π [tex]r^{2}[/tex]

But since the diameter is given, and not the radius we need to divide the diameter by 2 (since half the diameter gives you the radius)

And the only one there that divides the diameter with the correct formula is the last one

Hope this helped!

Have a supercalifragilisticexpialidocious day!

A coin toss bet is placed between two friends such that the person who wins four tosses first is the winner. What is the total number of possible ways in which the bet can play out

Answers

Answer:

who wins four tosses first is the winner.

possible cases-7 tosses, 6 tosses, 5 tosses, 4 tosses

We get cases of Win of Head first-4 tosses

All 4 must be Head

Number of ways = 1

5 tosses-5th must be Head  

there are 3 Head   out of 4  in  ⁴C₃ = 4 Ways

6 tosses-6th must be Head  

there are 3 Head  out of 5  in  ⁵C₃ = 10 Ways

7 tosses-7th must be Head  

there are 3 Head   out of 6  in  ⁶C₃ = 20 Ways

Cases of Head wins = 1+ 4 + 10 + 20  = 35

similarly cases when  Tails Wins = 35

Total Possible cases = 35 + 35 = 70

70 is total number of possible ways in which the bet can play out.

Step-by-step explanation:

I hope that this helps u out..

HELP PLEASE?????????????????

Answers

It’s d the students

How many thirds are in 8 kilograms

Answers

24 thirds because if you split all the kilograms 8(3) =24
24 aonsksnsidnelaian wie did wow s r

What is the distance from L to M?

A. 10 units
B. 14 units
C. 2 units
D. 100 units

Answers

Answer:

[tex]LM = 10units[/tex]

Step-by-step explanation:

[tex]L( - 5,4),M(3, - 2)[/tex]

[tex]L( - 5,4),M(3, - 2) \\ L( { x }_{ 1 } , { y }_{ 1 } ),M( { x }_{ 2 } , { y }_{ 2 } )[/tex]

[tex]LM = \sqrt{ {( { x }_{ 2 } - { x }_{ 1 } )}^{2} + {( { y }_{ 2 } - { y }_{ 1 } ) }^{2} } [/tex]

[tex]LM = \sqrt{ {(3 - - 5)}^{2} + {( - 2 - 4)}^{2} } [/tex]

[tex]LM = \sqrt{ {(3 + 5)}^{2} + {( - 2 - 4)}^{2} } [/tex]

[tex]LM = \sqrt{ {(7)}^{2} + {( - 6)}^{2} } [/tex]

[tex]LM = \sqrt{64+ 36} [/tex]

[tex]LM = \sqrt{100} [/tex]

[tex]LM = 10units[/tex]

Tyson is 6 feet 2 inches tall. There are 2.54 centimeters in 1 inch. What is Tyson's height in centimeters?

A. 20.32 cm

B. 187.96 cm

C. 177.80 cm

D. 15.78 cm​

Answers

B because 74x2.54 is 187.96
I got 72 because 6 ft has 12 inch and added 2 to 72 which is 74

Answer:

b

Step-by-step explanation:

Solve one hundred twenty six divided by nine 14 15 16 17 PLEASE HELP! the answer choices are A. 14 B. 15 C. 16 D. 17

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

HELPPP
14y
Combine Like Terms for this expression.
7m - 10 - 4m + 3

Answers

Answer:

3m -7

Step-by-step explanation:

7m - 10 - 4m + 3, now if you change the spots.....

7m - 4m - 10 + 3 which can be simplified to 3m -7.

Hope this helps :D

Please help. I’ll mark you as brainliest if correct

A rectangle has a length of 12 inches has a perimeter of 38 inches. What is the missing side of the rectangle ?

What is the area of the rectangle ?

Answers

Answer:

The area is 84. The missing side is 7.

Step-by-step explanation:

Okay so perimeter = length+length+width+width right? If 12 is the length, then 12+12=24, which is the length part of perimeter. 38-24=14 and 14/2=7. The missing side is 7 because 12+12+7+7=38 and the area is 84 because 12x7=84. Good luck!

Answer: w = 7, A = 84

P = 2l + 2w
38 = 2(12) + 2w
38 = 24 + 2w
14 = 2w
w = 7 in.

A = lw
A = (12)(7)
A = 84 in^2

Please Help!

The areas of two rectangles can be represented by the functions shown.
Which function represents the difference in the areas, h(x) = f(x) – g(x)?
h(x) = 4x2 – 4x – 11
h(x) = 4x2 – 4x + 11
h(x) = –4x2 + 4x + 11
h(x) = 4x2 – 4x – 9

Answers

Answer:

B. h(x) = 4x² - 4x + 11

Step-by-step explanation:

Given:

f(x) = 5x² - 2x + 1

g(x) = x² + 2x - 10

Required:

h(x) = f(x) - g(x)

Solution:

h(x) = (5x² - 2x + 1) - (x² + 2x - 10)

= 5x² - 2x + 1 - x² - 2x + 10 (distributive property)

Collect like terms

= 5x² - x² - 2x - 2x + 1 + 10

h(x) = 4x² - 4x + 11

what is...
18.75÷2.5=
show your work.

Answers

Answer:

          7.5

2.5√18.75 -

       18.75

        7.5

2.5√18.75

Step-by-step explanation:

Select all the ways that describe the graph of the function in interval 2.

Answers

Answer:

Options (2) and (3)

Step-by-step explanation:

Slope of line segment is given by the formula,

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

Here, the line given in the graph has the Rise as negative (Since, segment is slanting down) and Run as positive.

Therefore, slope of the segment is negative which describes that the function is decreasing in the interval 2.

Options (2) and (3) will be the correct options.

What is the area of the figure composed of a parallegram, a square, and a rectangle

Answers

Answer:

126 in²

Step-by-step explanation:

That's what the answer was for me :)

Hope this helps!!

by the way it’s not 3:4 just saying because i got that wrong:( i’ll give brainliest to the right answer❤️

Answers

Answer:

8 to 9

Step-by-step explanation:

Please just tell me what numbers to put in each box! Thanks! Best answer gets brainliest!

Answers

Answer:

The points are (5,1) which are (x,y)

That being said the 1=3(5)+2

1=17

Step-by-step explanation:

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