How many ways can you order your favorite 3 desserts from a menu of 8?
6720
6
40,320
336
Answers
Answer:
336
Step-by-step explanation:
The total number of ways to order your favorite 3 desserts from a menu of 8 is 336, the correct option is D.
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?We can use combinations for this case,
Total number of distinguishable things is m.
Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total of
\(D ^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.\)
If the order matters, then each of those choice of k distinct items would be permuted k! times.
So, total number of choices in that case would be:
\(^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}\)
This is called permutation of k items chosen out of m items (all distinct).
We are given that;
The number of ways to order 3 desserts from a menu of 8 is given by the combination formula:
C(8,3) = 8! / (3! * (8-3)!) = 56
This means there are 56 different ways to choose 3 desserts from the menu of 8. Once the desserts are chosen, there are 3! = 6 ways to order them.
For 3 desserts from a menu of 8
56 * 6 = 336
Therefore, by combinations and permutations answer will be 336.
Learn more about combinations and permutations here:
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Related Questions
1. Stacey earns $15 each week plus $.50 for each customer on her paper route. She
wants to earn at least $25 each week. What equation can she use to find x, the
number of customers she needs to make exactly $25?
A x + 15 = 25
B 0.50x + 15 = 25
C 2x + 15 = 25
D 50x + 15 = 25
Answers
Explanation: the $0.50 is multiplied by the number of customers(“plus $.50 for each customer on her paper route”). So, it can’t be A, because the $0.50 is not in the equation. It can’t be c, because there should not be $2 for the number of customers(x). It can’t be D either because it’s 0.50, not 50. So, you’re left with B.
(I GOT AN 80% )
1.(D)
Ricardo has r minutes left on his cell-phone card. He wants to call his friend and still have 8 minutes left over to make calls later. Which expression describes the length of time he can talk to his friend?
D) r – 8
2.(D)
Lorraine rode her bike one-sixth the distance Jeremy rode his bike. If b represents the distance Jeremy rode, which expression represents the distance Lorraine rode her bike?
D) b
---
6
3.(A)
Raoul rode an elevator up the floors. He entered on the 5'thand exited on the 34'th
sloor. Which equation shows an equality between two different ways of expressing the Raoul exited ?
A) 34 = 5 + e
4.(B)
Hank went to an apple orchard and paid an entrance fee of $5 and bought a pounds of apples at $2 per pound. Hank paid a total of $19.
Which equation shows an equality between two different ways of expressing how much Hank paid in all?
B) 5 + 2a = 19
5.(A)
Chen’s house is 53 years old. This is 5 more than twice the age of Sunny’s house, h.
Which equation shows an equality between two different ways of expressing the age of Chen’s house?
A) 53 = 2h + 5
6.(A)
Mandy and four of her friends want to see a movie. If m represents the cost for one person to see a movie, which expression represents the cost for Mandy and her friends to see a movie?
A) 5m
7.(WRONG ANSWER IS D)
Natalie and Juan collect marbles. The number of marbles that Natalie has is 4 more than 3 times the number of marbles Juan has. If m represents the number of marbles Juan has, which of the following expressions represents the number of marbles Natalie has?
A) 4m + 3
B) 3m + 4
C) 3m – 4
D) DO NOT PICK ITS WRONG
8.(WRONG ANSWER IS D)
Hannah baked twice the number of cookies Sam baked. Sam baked 36 cookies. Let c represent the number of cookies Hannah baked.
Which equation shows an equality between two different ways of expressing how many cookies Sam baked?
A) 36 = c – 2
B) 36 = c + 2
C) 36 = c ÷ 2
D)DO NOT PICK ITS WRONG
9.(B)
There were c members in the chess club before 8 more people joined. Which expression describes the number of members in the chess club now?
B) c + 8
10.(C)
C) P
--- + 1.5
4
(all the correct answers are next to the numbers and it says do not pick which everyone's where wrong which was 7 and 8 i hope this helps you)
Answers
Answer:
for 7 the answer is B and for 8 the answer is C.
Step-by-step explanation:
7.
Natalie and Juan collect marbles. The number of marbles that Natalie has is 4 more than 3 times the number of marbles Juan has. If m represents the number of marbles Juan has, which of the following expressions represents the number of marbles Natalie has?
A) 4m + 3
B) 3m + 4
C) 3m – 4
if Natalie has 4 more ( adding 4 more marbles) marbles that are already 3 times Juan has ( multiplying by 3) then the answers for A and C don't make since the amount of marbles is multiplied by 3 and adds 4. Bis the correct option.
8.
Hannah baked twice the number of cookies Sam baked. Sam baked 36 cookies. Let c represent the number of cookies Hannah baked.
Which equation shows an equality between two different ways of expressing how many cookies Sam baked?
A) 36 = c – 2
B) 36 = c + 2
C) 36 = c ÷ 2
if Hannah made twice as many cookie as Sam that means the amount of cookies Hannah made are equivalent to 36 x 2= c. if we were to multiply 36 x2 we'd get how many cookies Hannah made and if we needed to find out how many Sam made we'd have to divide Hannah's cookies by two. giving us 36 = c ÷ 2. making C the correct option.
Solve for x. 16x - 5 = 18x - 2
A.x = 1/2
B. x = -3 1/2
C.x = -1 1/2
D.x = 3 1/2
Answers
Answer:
C. x = -1 1/2
Step-by-step explanation:
16x - 5 = 18x - 2
-16x. -16x
-5 = 2x - 2
+2. +2
-3 = 2x
/2. /2
-3/2 = x
-1 1/2 = x
Chau is a software salesman. His base salary is $2300, and he makes an additional $50 for every copy of Math is Fun he sells.
Let P represent his total pay (in dollars), and let N represent the number of copies of Math is Fun he sells. Write an equation relating P to N. Then use this equation to find his total pay if he sells 26 copies of Math is Fun.
Answers
Sub 26 for n:
2300 + 50(26) = P
3600 = P
Answer: hope this helps ♡
P = $3600
Step-by-step explanation:
P = total pay
N = num of 'Math is Fun'
P = $2300 + $50(N)
P = $2300 + $50(26)
P = $2300 + $1300
P = $3600
I Need help ASAP if you get right ill name you BRAINLEST
Answers
The table shows the ratio between the pounds of apples and the total cost:
5 pounds of apples equals 15 dollars, 6 pounds of apples equals 18 dollars, and 7 pounds equals 21 dollars.
Find equivalent ratios when the pounds of apples are 1, 2, and 3. Explain how to plot the equivalent ratios on a coordinate grid from the origin.
Answers
example (x, y) = (1, 3) or (5, 15)
On the coordinate grid x would be represented by the pounds of apples and y would be represented by the dollars
example (x, y) = (1, 3) or (5, 15)
Pls help it is due today
Answers
Answer:
Well on February it clearly shows it’s the highest at the point goes right across to 7:00 so the second one
Step-by-step explanation:
In 2000, Ohio's population was 11.4 million and and increasing by 0.5 million each year. Michigan's population was 9.9 million, increasing by 0.6 million each year. at this rate when will the population of Michigan be greater than the population of Ohio
Answers
Answer:
In 10 years they would be the same, so in 11 years Michigan's population will be greater.
If you add 9.9 by 0.6 10 times you would get an answer of 15.9, and the same with 11.4 plus 0.5... So if you did it one more time Michigan would get 16.5 and Ohio would get 16.4.
So the answer is 11. (10 would equal the same amount)
Please help Ill give brainiest!
Answers
Answer:
H. 4c <60
Step-by-step explanation:
Answer:
H is the best answer.
Step-by-step explanation:
Isabell and her three sisters means that there is 4 people.
Since C equals the amount each sister spends it has to be less that 60.
(<) this symbole shows that the money the sisters spent is less than 60.
This means that 4c<60 is the best answer.
Georgia's height is 4 inches less than Sienna's height. Georgia is
58 inches tall. Write and solve a subtraction equation to find
Sienna's height.
Answers
58+4=62 Sienna’s height is 62 inches
Explanation:
Sienna’s height is 62 inches because Georgia’s height is 58 inches and she is shorter by 4 inches which means you have to add 58+4 which would equal 62.
Which of the following discrete random variables could be represented by a
probability histogram whose bars are all the same height?
O A. The number of goals scored per game by a soccer team in one
season
B. The ages of students in a high school
O C. The outcomes of spinning a spinner with five equal sections
O D. The outcomes of rolling a weighted die
Answers
Answer: The outcome of spinning a spinner with five equal outcomes
Step-by-step explanation:
The discrete random variable that could be represented by a probability histogram whose bars are all the same height is;
Option C; The outcomes of spinning a spinner with five equal sections
The probability histogram is a type of histogram whereby the height of each bar shows the true probability of each outcome of a specific number of trials.
Now, let us look at the options;
Option A; This cannot be represented by a probability histogram because it doesn't show probability.
Option B; This cannot be represented by a probability histogram because it shows just ages and doesn't show probability.
Option C; This can be be represented by a probability histogram because it shows the probability of each outcome of spinning five equal sections.
Option D; This cannot be represented by a probability histogram because it should show the probability of each outcome and not just that of one weighted die.
Read more at; https://brainly.com/question/22690577
This figure has an area of____in^2
Answers
--Answer--
\(5\sqrt{2}\) or 7.0710... (7.1)
--Explanation--
If you look closely the triangle on the left could be moved to the space on the right of the shape.
Then, the edges would be 10 inches (top) and 5 inches (sides).
From there, you multiply 10 x 5 to get 50. If you want the square root, you do \(\sqrt{50}\) which is how I got 7.071067812, or 7.1, which was rounded to the nearest tenth.
Find the volume of the following figure using unit cubes.
None of the above.
23 units3
27 units3
25 units3
Answers
Explanation:
Length * Width * Height = Volume
3 * 3 * 3 = 9 * 3 = 27
Volume = 27 units
I need someone to help me with this "Solve the system by substitution" question.
Answers
Answer:
Step-by-step explanation:
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
whats the surface area?
Answers
Answer:
1108 in²
Step-by-step explanation:
You want the total surface area of the pentagonal prism shown.
Base areaThe area of each of the two pentagonal bases is the sum of the area of the yellow rectangle and the area of the triangle above it. That sum is ...
A = LW +1/2bh
A = 5(12) +1/2(12)(9) = 12(5 +9/2) = 114 . . . . square inches
Lateral areaThe lateral area of the prism is the sum of the areas of the 5 rectangles. That sum will be the product of the perimeter of the pentagonal base and the distance between bases.
LA = (12 +5 +11 +11 +5)(20) = (44)(20) = 880 . . . . square inches
Total areaThe total surface area of the figure is the sum of the two base areas and the lateral area:
SA = 2(114 in²) +880 in² = 1108 in²
The surface area of the composite figure is 1108 in².
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whice model represent cutting 40% of the ribbion
Answers
Answer: Model B
Step-by-step explanation: Model B, shows the cutting of 40% of the ribbon since, if you divide it into 10 parts, with each piece representing 10%, if you take away 4 of those parts, which is equal to 40%. So it is Model B.
PLEASE HELP I NEED TO FINISH THIS
Answers
Answer:
11
Step-by-step explanation:
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HELP ME PLSSS I WILL GIVE BRAINLIEST
Answers
Step-by-step explanation:
\(( {2})^{2} \times \frac{6}{3} \\ = 2 \times 2 \times 2 \\ = 8\)
\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)
Bracket
Of
Division
Multiplication
Addition
Subtraction
2^2 x (6/3)
= 2^2 x (2)
= 4 x 2
= 8
Sample Answer: Make a table with inputs showing the number of bottles of water and outputs showing the total cost of the water. Use 1, 2, 3, and 4 bottles for the inputs. Find the corresponding outputs. Plot the ordered pairs in the table of the form (input,output).
Which instructions did you include in your explanation? Check all that apply.
Identify the input.
Identify the output.
Create a table for four input values.
Plot the points from the table.
Answers
The instructions that you would include in your explanation are:
Identify the output.
Create a table for four input values.
Plot the points from the table.
The instructions to be includedIn the given question, a series of instructions are provided. To properly explain your process, you have to explain how you got the output. There is no need of explaining the input as they are already provided.
Next, you will Show how you created the table and why you created it in that way. Finally, indicate how the points were plotted on the table. An explanation such as this will help anyone to follow through.
Learn more about ordered pairs here:
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Answer:1 to 2
2 to 4
Step-by-step explanation:
frankie reads 32 pages of a book each night before he goes to sleep.
write an equation that represents the number of pages, (p), frankie reads in (n) nights
Answers
Solve the equation.
-1/2 m - 8 = 8
–32
–8
–16
0
Answers
Answer:
\({:}\longrightarrow\sf -\dfrac {1}{2}m-8=8\)
\({:}\longrightarrow\sf -\dfrac {1}{2}m=8+8\)
\({:}\longrightarrow\sf -\dfrac{1}{2}m=16 \)
\({:}\longrightarrow\sf m=16\times{-2}\)
\({:}\longrightarrow\sf m=-32 \)
option a is correctStep-by-step explanation:
-1/2 m - 8 = 8 -1/2 m-8=8 -1/2 m=8 + 8 -1/2 m= 16 m=16×2/-1 m= -32hope it helps hope it helps and if helped mark it as brainliest.......
Frank finds 9 coins on the floor of his car, and 3 of them are quarters. If he finds 15 more coins on the ground, at the same ratio as the coins found in the car, how many more coins will most likely be quarters?
Answers
3 is 1/3 of 9, meaning the probability of picking up a quarter is 1/3, if he finds 15 more,
15/3 is 5.
5 coins should be quarters
Answer: 5 coins
Step-by-step explanation:
Frank found 9 coins on the floor of his car, and 3 of them were quarters. This means that 3 out of the 9 coins, or \(\frac{3}{9}\), were quarters.
Simplifying this fraction, we get \(\frac{1}{3}\) of the coins found in the car were quarters.
If Frank finds 15 more coins on the ground at the same ratio, then \(\bold{\frac{1}{3}}\) of these coins will also be quarters. To find out how many quarters he will most likely find, we need to find \(\bold{\frac{1}{3}}\) of 15:
\(\large \frac{1}{3} \times 15 = 5\)
Therefore, Frank will most likely find 5 more quarters on the ground, assuming he finds coins at the same ratio as he did in his car.
_______________________________________________________
So this one really confuses me, it may be easy for you guys though. So, a magical square 3x3 with 8 numbers 1/4 - 2 going by fractions, so, 1/4, 2/4, 3/4, 1, 1 1/4, 1 2/4, 1 3/4, 2. Each side has to equal 3. Good luck, I've spent 2 hours now.
Answers
Answer:
Another is that I tried to divide my number equally so they add up to my number. ... You can find this number by using a simple math formula, where n = the number ... Actually, all 3x3 Magic Squares have an identical structure. ... 3x3 Magic Square 2 7 6 9 5 1 4 3 8 There are three types of magic squares: 1) ...
Step-by-step explanation:
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters long, 6.6 centimeters wide, and 6 centimeters tall?
Answers
Answer:
Step-by-step explanation:
3.1313109
Answer: the answer should equal 3.131
Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.
Please got brainliest
HELP ASAP
What is −10y − 19 if y is 9?
BTW this is FLVS
Answers
Answer: -109
Step-by-step explanation:
1st we would replace y with 9: -10(9)-19
2nd we would simplify to -90-19
3rd we solve and get -109
2nd we would simplify to -90-19
3rd we solve and get -109
Find f(1/3) if f( n ) = 3 n
1
3
1 /3
(A explanation along with the answer would be appreciated because I have no idea how to do this)
Answers
Answer:
1
Step-by-step explanation:
Simplify 1/3
Explanation:
You only really have to simplify 1/3 = 1
Hope this helped :D
IF YOU WANT BRAINLIEST ANSWER NOW AND CORRECTLY PLEASE!
The large solid below is made from small cubes. Each has a side length of 1/4.
Answer the questions below. Write your answers in simplest form.
(c) What is the volume of the large solid?
Answers
Answer:
A is 36 small cubes, because by looking at the image, you can see 3 rows of cubes containing 6 cubes each. So that would be 3 times 6, which is 18. There are 2 of these arrangements, one on top and the other on the bottom. So we multiply 18 by 2 to get 36 small cubes.
B is 1/64ft cubed, because the volume of a cube is length x width x height, and because each is the same (it is a cube) we take the length of the cube (1/8) and multiply it 2 times, to get 1/8 x 1/8 x 1/8 = 1/64 cubic feet.
C is 9/16 cubic feet for the volume of the entire cube. Because we know that there are 36 small cubes total, and we know that each cube is 1/64 cubic foot in volume, we multiply 36 small cubes, by their volume, 1/64 feet cubed to get the fraction of 9/16 .
Step-by-step explanation:
Answer:
3/4 x 6/4 x 2/4
Step-by-step explanation:
You need to multiply length * width * height to find volume.
Since each cube is 1/4, we have to multiply 3 for the width.
3 x 1/4 = 3/4.
Since there are 6 cubes for the length, you have to multiply 6 x 1/4 = 6/4
Finally, since the height is 2 cubes, you have to do 2 x 1/4 = 2/4
Finally, you multiply them all.
3/4 x 6/4 x 2/4
Choose the correct numbers from the box to complete the subtraction sentence that follows. Enter the missing fractions to make a true statement.
Answers
Answer:14
Step-by-step explanation:
Answer:
On dividing 3.185 × by 9.1 × the final answer in scientific notation is 3.5 × .
The quantity 3.185 times ten raised to the seventeenth power can written as 3.185 × .
The quantity 9.1 times ten raised to the eighth power can written as 9.1 × .
On dividing 3.185 × by 9.1 × ,
( 3.185 × )/( 9.1 × ) = 0.35 × = 0.35 × = 3.5 × (in scientific notation)
Scientific notation is a floating-point system in which the numbers are expressed as the products consisting of a number between one to ten multiplied by an appropriate power of ten.
On dividing 3.185 × by 9.1 × the final answer in scientific notation is 3.5 × .
To know more about Scientific notation refer to the link:
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Step-by-step explanation:
hope this helps