Use: nCk = n!/k! (n-k)!
At a local cafeteria there are ten vegetable selections available. How many three-vegetable plates may be made

Answers

Answer 1

Answer:

120

Step-by-step explanation:

The formula [tex]nCk=\frac{n!}{k!(n-k)!}[/tex] describes how many ways [tex]k[/tex] items can be chosen given [tex]n[/tex] total items. In this scenario, [tex]n=10[/tex], and [tex]k=3[/tex], thus:

[tex]\frac{10!}{3!(10-3)!}=120[/tex]

This means that you can make 120 three-vegetable plates


Related Questions

Which is true [x]>=x or [x]<=x ?

Answers

Answer:

[x] ≥ x

Step-by-step explanation:

The absolute value of a number is greater than or equal to itselfTherefore, the correct answer is :⇒ [x] ≥ x


Chrissy has some ribbon in her craft room. She has 3/8 yards of purple ribbon and 1 yard of green ribbon.
Chrissy has a total of 3 yards of ribbon.
How many yards of Chrissy's ribbon are neither purple nor green?

Answers

The number of Chrissy's ribbon which are neither purple nor green is 1 5/8 yards

How to calculate Chrissy's ribbon which are neither purple nor green?

Purple ribbon = 3/8 yardsGreen ribbon = 1 yardTotal yards of ribbon = 3 yards

Ribbon which is neither purple nor green = Total - (purple + green)

= 3 - (3/8 + 1)

= 3 - (1 3/8)

= 3 - 11/8

= (24-11) / 8

= 13/8

= 1 5/8 yards.

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35.99 divided by 15.6

Answers

Answer:

around 2.31

Step-by-step explanation:

because you will get 2.307 if you put it in a calculator then you can round it to 2.31

look at the screenshot

Answers

Answer:

37 is the answer for the first one because 600-45=555/15=37 and 270-15=255/15=17 for the second one.

Which of the following is not an exponential function?

Answers

Answer:

B. y = 5x-1

Step-by-step explanation:

B. y = 5x-1 is not an exponential function.

the correct answer would be B, as there are no exponents in the choice!

Two spheres have a scale factor of 3:8. The smaller sphere has a volume of 54pi cubic meters. Find the volume of the larger sphere. Write your answer in terms of pi.

Answers

Answer:

i dont know i tried really hard im not really good at math to be honest once again sorry

Step-by-step explanation:

15 of 15 Find the size of the final unknown interior angle in a polygon whose other interior angles are: 162°, 115°, 125°, 148° and 105°.
answer ?

Answers

Answer: 147 Degrees

Step-by-step explanation

The size of the final unknown interior angle in a polygon is 147 degrees.

Given that,

The other interior angles are 162°, 115°, 120°, 148° and 85°.

We assume that there is an equation (2n - 4) 90.

Here n be 7.

Based on the above information, the calculation is as follows:

= (2n - 4) 90

= ((2) (7) - 4) 90

= 10 (90)

= 900

Now the size of the unknown interior angle is  

= 900-(162+125+148+105+98+115)

= 900 - 753

= 147°

Therefore we can conclude that the size of the final unknown interior angle in a polygon is 147 degrees.

Harold randomly selected one square tile and one round tile from the sets shown below. what is the probability that harold selected a pink square tile, and either a red or a blue round tile? square tiles: 20 green, 16 pink, 9 red, 10 yellow, 5 blue.round tiles: 5 black, 4 pink, 9 red, 6 blue, 3 yellow, 8 green, 1 white. a. 3/5 b. 14/60 c. 1/9 d. 4/45

Answers

The probability that Harold selected a pink square tile, and either a red or a blue round tile is 1/9.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Considering the selections are independent, their combined probability is the product of the probabilities of the individual events.

 P(pink square) = (pink squares) / (squares) = 16/60 = 4/15

 P(red or blue round) = (red or blue rounds) / ( rounds) = 15/36

Then, the Total probability

 P(E) = (4/15)(15/36)

 P(E) = 4/36

 P(E) = 1/9

So, the probability that Harold selected a pink square tile, and either a red or a blue round tile is 1/9.

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Answer:

Harold randomly selected one square tile and one round tile from the sets shown below. What is the probability that Harold selected a pink square tile, and either a red or a blue round tile?

Square tiles: 20 green, 16 pink, 9 red, 10 yellow, 5 blue.Round tiles: 5 black, 4 pink, 9 red, 6 blue, 3 yellow, 8 green, 1 white.

a.

3/5

b.

14/60

c.1/9 <<<CORRECT

d.

4/45

 

Step-by-step explanation:

Edge 2022

How do I right 62% as a decimal

Answers

Answer:

0.62

Step-by-step explanation:

=>           62% = 62/100

=>           62/100 =   0.62

Skye plans to attend a 4-year public university. She will receive $4,300 in scholarships and grants each year, and she will earn $2,100 each year through a work study program.




Including her financial aid, what is Skye’s estimated cost per year? $


Skye’s family will contribute $7,000 each year. How much will Skye need to contribute? $


If Skye currently has $0 in savings, she will need to save $

each month.

If Skye currently has $1,000 in savings, she will need to save $

each month.

If Skye currently has $2,500 in savings, she will need to save $

each month

Answers

Answer:

1.95

Step-by-step explanation:

Carley can mow the lawn in 5 hours. When Carley and her dad work together, they can do it in 2
hours. How long does it take Carley's dad to mow the lawn?

Answers

The time it will take Carley's dad to mow the lawn is 3.3 hours.

What is rate?

Rate is the ratio between two related quantities in different units. Therefore,

The rate Carley do the  lawn = 1 / 5

When they work together they do it the 1 / 2 rate.

Therefore,

let

the hours it takes Carley dad = x hours . Therefore,

1 / 5 + 1 / x  = 1 / 2

x + 5/ 5x = 1 / 2

cross multiply

2(x + 5) = 5x

2x + 10 = 5x

10 = 5x - 2x

10 = 3x

x = 10 / 3

x = 3.3 hours

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johnny is making 30 sundaes with mint, chocolate, and vanilla ice cream. 3 5 of the sundaes are mint ice cream and 1 2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

Answers

18 mint, 9 chocolate and 9 vanilla

An equation is shown.
3m • 3 = 3-2

What are the possible values for m and n?

Answers

Answer:

n=3m+5

n−2m=3

\hboxsubstitute3m+5forninthesecondequation:

3m+5−2m=3

m+5=3

m=3−5

m=−2

n=3m+5

n=3×(−2)+5

n=−6+5

n=−1

(m,n)=(−2,−1)

The answer is C.

The price for a gallon of gas is $4.99 how much is it going to cost for 20 gallons ?

Answers

You would have to put 4.99 times 20 which will cost 99.80 for 20 gallons.

Answer:

if one gallon is 4.99, 20 gallons?

write a ratio to make it easier

gallon : price

1 4.99

20 x

cross multiply,

x = 20 × 4.99

x=99.8

Use substitution to find the value of y. x =3 x+y=7 step 1 : rewrite the equation step 2 :add or subtract to solve for y

Answers

Answer:

[tex]\huge\boxed{\sf y = 4 }[/tex]

Step-by-step explanation:

Given Equations:

x = 3 --------------------(1)

x + y = 7 ---------------(2)

Step 1: Substitute Eq. (1) in (2)

3 + y = 7

Step 2: Subtract 3 to both sides

y = 7 - 3

y = 4

[tex]\rule[225]{225}{2}[/tex]

Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3 am
1
18
N
zam
No
m
N
3
3
18
m
meters

Answers

Answer:

Hope this helps you

Step-by-step explanation:

Thank

Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft. Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.

Answers

Answer:

  3 km/h

Step-by-step explanation:

You want to know the speed of the river current if floating 36 km downstream takes 9 h longer than the trip upstream in a boat with a speed relative to the current of 15 km/h.

Time

The relation between time, speed, and distance is ...

  time = distance / speed

If c represents the speed of the current, then 15-c is the speed upstream. The relation between the travel times is ...

  36/(15 -c) = 36/c -9

Solution

Multiplying by c(15-c), we have ...

  36c = 36(15 -c) -9(c)(15-c) . . . . . . . multiply by c(15-c)

  36c = 540 -36c -135c +9c² . . . . . eliminate parentheses

  9c² -207c +540 = 0 . . . . . . . collect terms

  c² -23c +60 = 0 . . . . . . . . divide by 9

  (c -20)(c -3) = 0 . . . . values that make the factors zero are c=20, c=3

The speed of the current is 3 km/h.

__

Additional comment

The speed of the current cannot be greater than 15 km/h, or the boat could not go upstream. The speed of the current cannot be greater than 4 km/h, or the trip downstream would take less than 9 hours.

<95141404393>

I need some help with these math questions.​

Answers

Answer:

For the first question, D is the correct answer.

For the second question, B is the correct answer.

Step-by-step explanation:

First question:

[tex]5.89 + .61(30) = 24.19[/tex]

[tex]5.89 + .61(35) = 27.24[/tex]

So D is the correct answer.

Second question:

A function is a relation in which each element in the domain corresponds to one and only one element in the range. That said, relations A, C, and D are not functions since in each of these relations, one element in the domain corresponds to two elements in the range. Only relation B is a function.

Write an expression for the cost per person if five friends share the cost of a dinner equally.

Answers

Answer:

Let c=cost of dinner, 5=the # of people, and P=the cost of person

P=C/5

b. P = (1000)/5

P = 200

Step-by-step explanation:

What is the mean of the numbers 2,6,7,2,2,9

Answers

Answer:

4.67

Step-by-step explanation:

You can get this by adding the numbers together and dividing them the numbers of numbers in data set, or like this

2+6+7+2+2+9=28 Then count how many numbers you added.

2.Divide 28 by how many numbers you counted.

Add them all up then divide by how many there are 28/6= 4.67

What is the measure of each angle of a regular 19-gon? If necessary, round to the
nearest tenth.

Answers

[tex]\begin{array}{llll} \textit{sum of all interior}\\ \textit{angles in a regular polygon} \end{array}\\\\ n\theta = 180(n-2)~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=19 \end{cases}\implies 19\theta =180(19-2) \\\\\\ 19\theta =180(17)\implies 19\theta =3060\implies \theta =\cfrac{3060}{19}\implies \theta \approx 161.1^o[/tex]

The value of each angle for the given regular polygon is 161.05°.

What is a regular polygon?

A regular polygon can be defined as a polygon having all of its sides and angles equal to one another. The expression for each angle of a regular polygon is 180(n - 2)/n.

Suppose each angle of the regular polygon be x.

Since the sum of all the interior angles of a regular polygon with n sides is given as 180(n - 2).

As per the given problem the number of sides n = 19.

Then, the following equation can be written as follows,

19x = 180(19 - 2)

=> 19x = 180 × 17

=> x = (180 × 17)/19

       = 161.05

Hence, each angle of the given regular polygon with 19 sides is 161.05°.

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pleaseeee help me solve for X.

Answers

Answer:

x-17.5

Step-by-step explanation:

angles in a triangle add to 180

3x+8+(2x-3)+5x = 180

simplify(collect like terms):

10x + 5 = 180

solve:

10x = 175

x=17.5

5x+2x-3+3x+8=180
X=17.5

The total area of a picture frame, including
the glass and 1.5-inch wide wooden frame, is
238 square inches. If the frame is 17 inches
tall, what are the dimensions of the maximum
picture size that will fit in the frame?

Answers

The dimensions of the picture size to fit in the frame are 14 inches by 11 inches.

How tall can the picture be?

It is known the frame is 17 inches tall but this includes 1.5 inches of the wooden frame. This means that 3 inches of the frame (1.5 inches x 2) do not count for the size of the picture.

17 inches - 3 inches = 14 inches tall.

How long can the picture be?

We already know the picture can be 14 inches tall and the total area is 238 square inches including the 1.5 wooden frame.

Area = s x sS = Area / sS = 238 / 17 (height including frame)S= 14 inches (length including frame)

14 inches - 3 inches = 11 inches.

Learn more about inches in: https://brainly.com/question/17533009

10. Membership to gym A is $40 per month
plus a $60 registration fee. Gym B charges
$55 per month and no registration fee.
After how many months will the
membership cost be the same?
efine the variable, write an equation, and solve

Answers

Answer:
4 months

Steps:
A = 40 per month + 60 fee
B = 55 + 0 fee

Let m represent the number of months.
40m + 60 = 55m

Subtract 40m from both sides.

40m + 60 = 55m
-40m -40m

60 = 15m

Divide both sides by 15.

60 = 15m
/15 /15
4 = m

Each pair of shapes below are similar. Solve for each variable. Show all work necessary to justify your answer. 26 11 6 18 X = 21 a = 13 b 11 22​

Answers

Answer:

x = 21

a= 22

b = 13

Step-by-step explanation:

18 / 6 = 3

3 * 7 =21

20 / 10 = 2

2 * 11 = 22

10 / 20 = 0.5

26 * 0.5 = 13

what should be subtracted from 8p + 5p to get 6a - 5b ?​

Answers

Answer:

8p+5p

=13p

=6a-5b procesa

Help!! This is i-ready!!! Will get brainiest!!!

Answers

Answer:

C is the answer

Step-by-step explanation:

people who usually volunteers really don't get represented

The perimeter of a rectangular field is 322 m.
If the width of the field is 67 m, what is its length?

Answers

Answer:

75

Step-by-step explanation:

322 = 2(86) + 2w

322 = 172 + 2w

322-172 = 172 +2w -172

150 = 2w

150/2 = 2w/2

w=75

Order these numbers from least to greatest

Answers

Answer:

1. -39/50

2. -0.77777

3. square root of 92

4. 9.73

A group of 7 friends each received 5/6 of a pound of candy. How much candy did they receive total?

Answers

Answer:

A group of seven friends each received one-half of a pound ofcandy. How much candy did they receive total?✓

0.5 pounds x 7= 3.5 poundsStep-by-step explanation:

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