A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. Each suit has 13 cards.

Count the number of ways in which four cards, each of a different face value, can be chosen.

Answers

Answer 1

Answer: 17160

Step-by-step explanation:

first there are 13 options

then there are 13 - 1 that was chosen

then there are 13 - 2 that were chosen

then there are 13 - 3 that were chosen

so that's 13 options, then 12 options, then 11 options, and then 10 options

and in order to figure out all of the possibilties we mutiply the options so

13*12*11*10 = 17160

little further explaining of why this works:

we have a set of letters (3 in a set)

A B C

what are the possible combinations?

AB

AC

BC

BA

CA

CB

the answer is 6 which is also 3 * 2 * 1 = 6


Related Questions

Please can someone help? As i'm not confident this is right for factorising 4b^2 + 8b + 3 ​

Answers

Answer:

your answer is correct

Step-by-step explanation:

4b² + 8b + 3

Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term.

product = 4 × 3 = 12 and sum = + 8

The factors are 2 and 6

Use these factors to split the b- term

4b² + 2b + 6b + 3 ( factor the first/second and third/fourth terms )

= 2b(2b + 1) + 3(2b + 1) ← factor out (2b + 1) from each term

= (2b + 1)(2b + 3)

From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds? pls answer due today.

Answers

you divide 480 by 8.6 i think

helpppppp!!!!!!!! pleaseee!!!!!!!!!!

Answers

Adding all of the areas together:

5 x 6 = 30

4 x 6 = 24

3 x 6 = 18

4^2 + 3^2 = 16 + 9 = 25(square root) = 5

" " = 5

30 + 24 + 18 + 5 + 5 = 82 ft^2

What is the answer to 0.2 × 10

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

as the other person said

What is the value of this expression when a = 7 and b = -4

Answers

Answer:

[tex] \longmapsto\frac{ |2a| - b }{3} \\ = \frac{ 2|a| - b }{3} \\ = \frac{2 |7| - ( - 4) }{3} \\ = \frac{2(7) + 4}{3} \\ = \frac{14 + 4}{3} \\ = \frac{18}{3} \\ = \boxed6[/tex]

D. 6 is the right answer.

The length of the field is 3 yards less than triple the width. What are the dimensions of the playing field

Answers

Answer:

45=w answer

Step-by-step explanation:

Here's what we know:

P = 2L + 2w

L = 3w + 3 (length is 3 yards more than 3 times the length)

P = 366

 

We have a value for length and perimeter, so plug them in:

366 = 2(3w + 3) + 2w

366 = 6w + 6 + 2w

366 = 8w + 6

360 = 8w

45 = w

can somebody help me with social studies please ????
Somebody please answer
Will get brainlist if you help me

Answers

Sure, drop your question :)

Answer:

what do you mean? what's the question?

See photo please help

Answers

Answer:

2/3 is right one . option no B

Evaluate 3x – 6 + 5x - 1 when x =-3

Answers

Answer:

-31

Step-by-step explanation:

1. To evaluate this expression when x = -3, we just have to plug in the x-value and simplify.

[tex]3x - 6 + 5x - 1[/tex] [tex]3(-3)-6+5(-3)-1[/tex] [tex]-9 - 6 - 15 - 1[/tex] [tex]-15 - 15 - 1[/tex] [tex]-30 - 1[/tex] [tex]-31[/tex]

Therefore, the answer is -31.

You just plug in -3 where X is so the answer is -31 :))

Which expression is equivalent to-5(3x-6/7)?

Answers

Answer:

The answer is -15x+30/7

Step-by-step explanation:

First: -5×3 is -15x

Then: You change the negative sign to a positive sign.

Last: You put 30/7

Please lmk if it is true or false

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

Yes, the above statement is True.

Answer:true

Step-by-step explanation:

You are given the​ numbers, 27+n,[tex]\frac{n}{5}[/tex],[tex]\sqrt{n+144}[/tex]. Find the smallest value of n so that all of the numbers in the set are natural numbers.
The smallest value of n that makes all of the numbers in set natural numbers is

Answers

It's the answer If you liked it Plz BRAINLIEST

Answer:

27+n,\frac{n}{5}

5

n

,\sqrt{n+144}

n+144

Step-by-step explanation:

27+n,\frac{n}{5}

5

n

,\sqrt{n+144}

n+144

What are the values of x and y?

(9x - 19y)
(5x - 17)
(3x + 3)º
X =

y =

Answers

Answer: x = 10 and y = 3

Step-by-step explanation:

Due to the x rule, (5x - 17) = (3x + 3)

If we add 17 to both sides:

5x = 3x + 20

Take away 3x from both sides

2x = 20

Divide by 2:

X = 10

This means that (5x - 17) = (3x + 3) = 33

Since all angles must add to 360, the top angle = (360- (33*2)) /2

(360-66) /2

294 /2

147

This shows that 9x - 19y = 147

90 - 19y = 147

Minus 90 both sides

19y = 57

Y = 3

So, x = 10 and y = 3

Solve the following systems of equations. (a) x+y = 5 x-y = -1

Answers

Answer:

[tex]x + y = 5 ...(1)\\ x - y = - 1 ...(2)\\ add \: (1) + (2) \\ 2x = 4 \\ x = 2 \\ sub \: x = 2 \: in \: (1) \\ 2 + y = 5 \\ y = 3[/tex]

Hi Please answer this for me ill thank u and rate I Need it asap Thank U :D

Answers

Answer:4) 1.  (3^4)^3=3^12    ,

                  2.(-10^3)^6=-10^18  others are similar...

              5) 1.  (2^7/2^5)=2^2,4  ,

                  2.(a^7/a^3)=a^4   ,

                  7.  [(-4)^3 x (-4)^5)]/[ (-4)^2 x(-4)^3]=4^3   others are similar...

Step-by-step explanation: 4)1. step1. 3^(4x3) ,  2. step1. -10^(3x6)

                                                    step2. 3^12      ,     step2. -10^18

                                              5)1. step1. 2^(7-5)  ,  2. step1. a^(7-3)

                                                     step2. 2^(2)     ,      step2. a^(4)

                                                 7. step1. -4^(3+5)/-4^(2+3)

                                                     step2. -4^(8)/-4^(5)

                                                     step3. 4^(8-5)

                                                     step4. 4^(3)

im not completely sure how to use slope (7th grade)​

Answers

Answer:

-3/2

Step-by-step explanation:

choose an x variable with it's corresponding y variable from the table.

for example -4, 19

then choose another one,

for example 0, 13

-4 will be the x1 and 19 will be y1 (-4=x1) (19=y1)

the second pair,

0 will be x2 and 13 will be y2 (0=x2) (13=y2)

then you need to subtract y1 from y2:       13 - 19 = (-6)

then you need to subtract x1 from x2:       0 - (-4) = 4

now you have y = (-6)

and x = 4

and since rise over run, aka y = rise, x = run, you put y over x. (divide)

y/x   -6/4  simplify = -3/2

Determine which box each reason should go in to justify each step taken to solve
the equation. Make the unused reason #4
54+2x=5x-3(2+6x)
Distributive Property
Multiplication Property
Division Property
>
Addition Property
<

Answers

Answer:

Am how should we answer this

Kendra is also buying souvenirs for the family reunion. She wants to spend under $2.25 for each item.

Which souvenirs cost less than $2.25 per item?

Check all that apply.

tote bags: 25 for $49.00
picture frames: 15 for $32.25
water bottles: 12 for $27.60
mugs: 8 for $15.92
T-shirts: 10 for $25.00

Answers

Answer:

1st,2nd,4th,

Step-by-step explanation:

You have to divide the price by the numbers of items!

Answer:

It's A,B,D

Hence, 1 tote bag, 1 picture frame and 1 mug cost under $2.25.

Step-by-step explanation:

Determine the equation of the line passing through the point (4,5) ​with the slope equal to 2.

Answers

Answer:

 y=2x-3

Step-by-step explanation:

slope (m)= 2

The Slope intercept of the line passing through (4,5) is

y=mx+b

5 = 2(4) + b

5 = 8 + b

b = -3

The equation of the line passing through pt. (4,5) is  

 y= mx+b

  y=2x-3

For a quadrilateral ABCD inscribed in a circle of radius 1, let AB : AD = 1 : 2 and ∠BAD = 120°. Also, when the point of intersection of diagonals BD and AC is denoted by E, let BE : ED = 3 : 4. Please find the area of triangle ABD and triangle BCD. (Show work)

Answers

The area of triangle ABD = x² * √3 / 2 and The area of triangle BCD =       y * √(5x² + 4y² - 2xy√5)

To find the area of triangle ABD, we can use the formula for the area of a triangle: Area = (1/2) * base * height

In triangle ABD, the base is AD and the height is the perpendicular distance from point B to line AD. Since AB : AD = 1 : 2, we can let AB = x and AD = 2x.

Now, we can use the Law of Cosines to find the length of side BD. In triangle ABD, we have:

BD² = AB² + AD² - 2 * AB * AD * cos(∠BAD)

BD² = x² + (2x)² - 2 * x * (2x) * cos(120°)

Simplifying the equation:

BD² = x² + 4x² - 4x² * (-1/2)

BD² = 5x²

Taking the square root of both sides:

BD = √(5x²) = x√5

Since BE : ED = 3 : 4, we can let BE = 3y and ED = 4y.

Now, we can find the length of side BC. In triangle BCD, we have:

BC² = BD² + CD² - 2 * BD * CD * cos(∠BCD)

BC² = (x√5)² + (2y)² - 2 * (x√5) * (2y) * cos(∠BCD)

BC² = 5x² + 4y² - 4xy√5 * cos(∠BCD)

Since the quadrilateral ABCD is inscribed in a circle, ∠BCD = 180° - ∠BAD = 60°.

BC² = 5x² + 4y² - 4xy√5 * cos(60°)

BC² = 5x² + 4y² - 4xy√5 * (1/2)

BC² = 5x² + 4y² - 2xy√5

The area of triangle ABD is given by:

Area ABD = (1/2) * AB * AD * sin(∠BAD)

Area ABD = (1/2) * x * 2x * sin(120°)

Area ABD = x² * √3 / 2

The area of triangle BCD is given by:

Area BCD = (1/2) * BC * CD * sin(∠BCD)

Area BCD = (1/2) * √(5x² + 4y² - 2xy√5) * 2y * sin(60°)

Area BCD = y * √(5x² + 4y² - 2xy√5)

Further calculations require numerical values for x and y to obtain specific areas.

For more such questions on area of triangle

https://brainly.com/question/28470545

#SPJ8

If max have 600 apples and give sis some how did here

Answers

Answer:

Sorry, but your question doesn't make sense

Step-by-step explanation:

where is the rest of the question/problem

2. An apartment complex has a demand given by p = -5x + 860,
where x is the number of apartments rented and p is the price
for each apartment, in dollars. The cost of maintaining the
complex is $120 per rented apartment. There are fixed costs of
$6000.
a) Find the revenue equation.
b) Find the cost equation.
c) Find the profit equation.
d) Find the number of apartments that must be rented to break
even.

Answers

The required equations computed from the data given are :

R(x) = 860x - 5x²C(x) = 120x + 6000P(x) = 740x - 5x² - 6000Break even point = 139 gallons and 9 apartment

Given the Parameters :

Price per apartment, p = - 5x + 860x = number of apartments rented Fixed cost = 6000Maintainance cost per apartment = $120

The Revenue Function, R(x) :

Price per apartment × Number of apartments rented

(-5x + 860)x ; R(x) = 860x - 5x²

The Cost equation, C(x) :

Fixed cost + Maintenance cost per apartment C(x) = 6000 + 120x

The Profit function, P(x) ::

P(x) = R(x) - C(x)

P(x) = 860x - 5x² - (6000 + 120x)

P(x) = 860x - 5x² - 6000 - 120x

P(x) = 740x - 5x² - 6000

Number of apartments required to break even :

At break even ;

P(x) = 0

740x - 5x² - 6000 = 0

Divide through by 5

-x² + 148 - 1200 = 0

Using a quadratic calculator :

The roots are (139.39, 8.60)

Therefore. The company will break even at 139 apartments rented or 9 apartments.

Learn more :https://brainly.com/question/8882508

The scale of a map says that 8 cm represents 5 km. What distance on the map (in centimeters) represents an actual distance of 8 kilometers?

Answers

Answer:

40 cm

Step-by-step explanation:

help please this is kinda difficult .

Answers

im pretty sure that the slope for both lines would be 2

2.2 Evaluating Functions Practice​

Answers

Answer:

3.

A = 11

B = -4

C = 7

D = 27

Step-by-step explanation:

What is the zero of f?


-5


2


-2


5

Answers

Answer:

0

Step-by-step explanation:

What is 1,432 rounded to the nearest 100?

Answers

1,400 is 1,432 rounded to the nearest 100! :)

Answer:

1400

Step-by-step explanation:

1432 is closer to 1400 than 1500 because it ends in 32 and is below 50 on the number line

WILL MARK BRAINLIEST REAL ANSWERS ONLY

Mark can read 20 pages of a book in 1 hour. His school assignment is to da 260 page book. Track how many hours he has left to read. Number of Pages left hours to read. What is the unit rate? And write an equation for the line. (also please help me graph it)​

Answers

Answer:

for the table

x y

0 260

1 240

2 220

3 200

Unit Rate is -20

we know this because the question tells us, he reads 20 pages per hour

the equation would be

y = -20x + 260

Please help me ASAP!!!!!

Answers

Answer:

c and b

Step-by-step explanation:

behdjdurjnrnrjdjdjdi

c and b look pretty similar

Which pairs of rectangles are similar polygons?

Select each correct answer.

Answers

Similar polygons will have proportional side lengths. So, let's check each of these using proportions and cross-multiplying.

Proportion: left rectangle length / left rectangle width = right rectangle length / right rectangle width

Top Left Rectangles: Proportional

6.4 / 5.6 = 1.6 / 1.4

8.96 = 8.96

Top Right Rectangles: Not Proportional

10.2 / 6.2 = 5.2 / 1.2

32.24 does not equal 12.24

Bottom Left Rectangles: Proportional

39 / 27 = 13 / 9

351 = 351

Bottom Right Rectangles: Not Proportional

64 / 36 = 8 / 6

288 does not equal 384

Hope this helps!! :)

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