Alejandra's Tapas Bar offers a menu consisting of $9$ savory and $5$ sweet dishes. You can also get a mix-and-match plate consisting of two different dishes on the menu. How many different mix-and-match plates can you get consisting of two savory dishes?

Answers

Answer 1

Answer:

45

Step-by-step explanation:

Given that the number of savory dishes is 9 and the number of sweet dished is 5.

Denoting all the 9 savory dishes by [tex]p_1, p_2,...,p_9[/tex], and all the sweet dishes by [tex]q_1,q_2,...,q_5[/tex].

The possible different mix-and-match plates consisting of two savory dishes are as follows:

There are 9 plates with [tex]q_1[/tex] from sweet plates which are [tex](q_1, p_1), (q_1, p_2), ..., (q_1,p_9).[/tex]

There are 9 plates with [tex]q_2[/tex] from sweet plates which are  [tex](q_2, p_1), (q_2, p_2), ..., (q_2,p_9).[/tex]

Similarly, there are 9 plated for each [tex]q_3, q_4[/tex] and [tex]q_5.[/tex]

Hence, the total number of the different mix-and-match plates consisting of two savory dishes

[tex]= 9+9+9+9+9= 9\times5=45[/tex]

Answer 2

Answer:

45

Step-by-step explanation:

each savory dish gets one sweet dish therefore 9*5=45


Related Questions

Doug's Pizza Shop sells pizza for $12plus $3per topping "t". Jake'sPizza Shop sells pizza for $17plus $2per topping "t". Write an equation that willtell you how many toppings need to be on a pizza from each pizza place to make their pizza the same price.

Answers

Answer:

5 toppings

Step-by-step explanation:

Given that :

Doug's pizza:

Sales price of pizza :$12 plus

Topping (t) = $3 per topping

Jake's pizza:

Sales price of pizza :$17 plus

Topping (t) = $2 per topping

To make their pizza the same price, how many topping needs to be on a pizza of each

12 + 3t = 17 + 2t

3t - 2t = 17 - 12

t = 5

5 toppings each

30 POINTS! HELP ME PLZZ I NEED HELP WITH THIS!!!

Answers

Answer:3/12 is greater

Step-by-step explanation:

Since 3/12 and 2/9 have different denominators, you need to find the Least Common Multiple (LCM) of the denominators and then multiply the top and bottom of each fraction by the number of times the denominator goes into the LCM.

According to my calculations, the LCM of the two denominators is 36. Therefore, since 12 goes into 36 a total of 3 times, you would multiply the top and bottom of the first fraction by 3. And since 9 goes into 36 a total of 4 times, you would multiply the top and bottom of the second fraction by 4.

Step #2: Now that the denominators are the same, you can simply compare the numerators to determine which fraction is greater. Since 9 is greater than 8, 9/36 is greater than 8/36. Therefore the 1st entry (3/12) is greater than the 2nd entry (2/9).

Please help me this question is hard

Answers

Answer:

I cant see

Step-by-step explanation:

Answer:

dont have an answer yet...question too small to see...

Step-by-step explanation:


If a population roughly doubles in the course of 22 years, its growth rate would be close to
C) 2.0
A) 1.5
D) 3.2
B) 1.2

Answers

Answer:

hmm you need help

Step-by-step explanation:

Find the volume of this object. Use 3 for pi. (CAN ANYONE HeLP:))

Answers

Step-by-step explanation:

sorry for the rough handwriting but that's that

I need help this is my last page

Answers

Answer:

The number: 85     factors: 17, 1

Step-by-step explanation:

136-51=85

85 and 51

Common factors of 85 and 51

17,1

Which of the following equations could represent
the points in the table? Select all that apply.
A y − 11 = −6(x − 0)
B y − 1 = −6(x + 5)
C y + 1 = −6(x − 2)
D y − 7 = −6(x − 3)

Answers

Answer:

A) y - 11 = -6(x - 0)

C) y + 1 = -6(x - 2)

Step-by-step explanation:

Plug in the corresponding x- and y- values in the table into the equations given in the answer choices.

I am going to use (1, 5) from the table.

A) y - 11 = -6(x - 0)[tex](5)-11=-6((1)-0)[/tex][tex]-6=-6(1)[/tex][tex]-6=-6[/tex]

-6 DOES equal 6, so this equation could represent the points in the table.

B) y - 1 = -6(x + 5)[tex](5)-1=-6((1)+5)[/tex][tex]4=-6(6)[/tex][tex]4 \not=-36[/tex]

4 does NOT equal 36, so this equation could not represent the points in the table.

C) y + 1 = -6(x - 2)[tex](5)+1=-6((1)-2)[/tex][tex]6=-6(-1)[/tex][tex]6=6[/tex]

6 DOES equal 6, so this equation could represent the points in the table.

D) y - 7 = -6(x - 3)[tex](5)-7=-6((1)-3)[/tex][tex]-2=-6(-2)[/tex][tex]-2\not=12[/tex]

-2 does NOT equal 12, so this equation could not represent the points in the table.

The only two equations that could represent the points in the table are answer choices A) y - 11 = -6(x - 0) and C) y + 1 = -6(x - 2).

Terri's recipe for pies calls for 1 1/3 cups of flour. If she has 10 cups of flour, how many pies can she make?

Answers

Answer:

She can make 7 pies

10 divided by 1 1/3 is 7.5

Step-by-step explanation:

Answer:

She can make 7 pies

Step-by-step explanation:

1 1/3=1.333

1.333×7=9.331

and

1.333×8=10.664

Meaning she wouldn't have enough for 8 pies

Therefore the answer is 7

i need help with fractions :(

Answers

Answer:

x = 0, Need the steps?

STEPS:

9x - 7 = -7 (Original Problem)

9x = 0 (Add 7 to both sides)

x = 0 (Divide both sides by 9)

Answer:

Step-by-step explanation:

(3) 9x-7=7

First multiply 3 by 9x to get 27x

27x-7=7

Then add 7 to both sides

27x-7+7=7+7

27x=14

27x/27=14/27

x=14/27

Which of the following is equal to 4 1/2 ÷ 2 2/3 ??? I need help answering this question.

Answers

Answer:

27/16 the same as 1 11/16

Step-by-step explanation:

First, make it an improper fraction:

9/2 ÷ 8/3

now flip the second number and multiply across:

9/2 × 3/8 = 27/16

After completing the fraction division 5 divided by five-thirds, Miko used the multiplication shown to check her work. 3 times five-thirds = StartFraction 3 Over 1 EndFraction times five-thirds = StartFraction 15 Over 3 EndFraction or 5 Which is the most accurate description of Miko's work?

Answers

Step-by-step explanation:

5 divided by five-thirds can be written in the fractional form is as follows :

[tex]\dfrac{5}{\dfrac{5}{3}}[/tex]

It can be also written as :

[tex]\dfrac{5}{\dfrac{5}{3}}=5\times \dfrac{3}{5}\\\\=3[/tex]

He has done calculations as follows :

3 x 5/3=3/1 x 5/3 = 15/3 or 5

Miko was wrong in the first step where he multiplied 3 by (5/3). It should be 5 multiplied by (3/5). He has done multiplication incorrectly.

Answer: A

Step-by-step explanation: i took the test

During the bake sale, Paayal and Parvathy sold 200 cookies. Paayal sold her cookies for 5 cents each, while Parvathy sold her cookies for 10 cents each. The total amount of money customers paid for cookies was $11.00. How many cookies did Paayal sell? How many cookies did Parvathy sell?

Answers

Answer:

Paayal sold 180 cookies and Parvathy sold 20 cookies.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=200 (1)

0.05x+0.10y=11 (2), where:

x is the amount of cookies that Paayal sold and y is the amount of cookies that Parvathy sold.

First, you can solve for x in (1):

x=200-y (3)

Now, you can replace (3) in (2):

0.05(200-y)+0.10y=11

10-0.05y+0.10y=11

0.05y=1

y=1/0.05

y=20

Finally, you can replace the value of y in (3) to find x:

x=200-y

x=200-20

x=180

According to this, the answer is that Paayal sold 180 cookies and Parvathy sold 20 cookies.

plz help asap nowwww

Answers

Answer:

10 to the power of 5 is 50 so do 50 times 3.8 and 10 to the power of 4 is 40 so do 40 times 5.9

Para recortar algumas figuras geométricas, um aluno utilizou uma cartolina com 1mx0,8m. Sabendo que ele recortou 2 triângulos, ambos com 20cm de base e 30 cm de altura, 2 trapézios ambos com bases de 10cm e 20cm e altura de 7cm. Determine em cm² quanto foi a área da cartolina que sobrou. * 1 ponto 7595cm² 0,7595m² 7190cm² 0.719m²

Answers

Answer:

7190 cm²

Step-by-step explanation:

Para recortar algumas figuras geométricas, um aluno utilizou uma cartolina de 1 m x 0,8m.

Passo 1

Determine a área de todo o papelão

= Temos dimensões = 1mx0,8m

Área = Comprimento × Largura

= 0,8m²

Nós convertemos para cm²

1 m² = 10.000 cm²

0,8m² = x cm²

Multiplicação cruzada

0,8m² × 10.000 cm² / 1 m²

= 8000 cm²

Passo 2

Sabendo que recortou 2 triângulos, ambos com 20cm de base e 30cm de altura

Encontramos a área de um triângulo

= 1/2 × base × altura

= 1/2 × 20 × 30

= 300cm²

Ele cortou 2 triângulos Portanto, o são dos dois triângulos = 300cm² × 2

= 600cm²

etapa 3

Ele também cortou 2 trapézios ambos com bases de 10cm e 20cm e altura de 7cm.

A área de um trapézio =

1/2 (a + b) h

= 1/2 (10cm + 20cm) × 7cm

= 1/2 × 30 × 7

= 105 cm²

Ele cortou dois trapézios, portanto

A área dos dois trapézios do corte = 105cm² × 2

= 210 cm²

Passo 4

A área total do papelão que foi cortado = 600cm² + 210cm²

= 810 cm²

Etapa 5

Determine em cm² quanto de papelão sobrou.

Isso é calculado como:

Área total do papelão - Área total que foi cortada

= 8000 cm² - 810 cm²

= 7190 cm²

What is the most important variable in the problem?
An auto shop has 98 cans of oil at the beginning of the day. 12 hours later, there are 10 cans remaining. How many were sold?

Answers

Answer:

Step-by-step explanation:

There are two if you want to answer the question. You have to know the starting value, and you have to know the ending value.

The question asks how many cans were sold. You can't answer that without knowing what you started with and what you ended with.

98 - 10 = 88

Simplify the following - (32)²​

Answers

Answer:

=-1024

Step-by-step explanation:

Hope this helps (:

Question 5
(-8,000,000)° is 1.
True
O False

Answers

the answer would be false

A can run 3 miles in 30 minutes. How long will it take
the runner to run 2.5 miles? Use the diagram to explain.

Answers

Answer:

It will take her about 25 minutes.

Step-by-step explanation:

30 divided by 3 is ten.

It takes ten minutes to run each miles.

I don't have a diagram, but try drawing a graph with the information.  

Lucia wishes to advertise her business, so she gives packs of 6 red flyers to each restaurant owner and sets of 4 blue flyers to each clothing store owner. At the end of the day, Lucia realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color? Flyers

Answers

Answer:

12

Step-by-step explanation:

No. of red flyers = 6

No. of blue flyers = 4

We need to find the minimum number of flyers of each color if she gave out the same number of red and blue flyers. For this we must find the LCM of 6 and 4.

Prime factorization of 6 = 2×3

Prime factorization of 4 = 2×2

Lowest common multiple of 6 and 4 = 12

Hence, there are 12 minimum number of flyers of each color


Which description matches DIAGRAM A?
A An increase by 2/3
B An increase by 5/6
C A decrease by 2/5
D A decrease by 5/11

Answers

the answer is d a decrease by 5/11

17z = 16z − 15 whats z ?

Answers

Answer:

z = -15

Step-by-step explanation:

17z = 16z − 15

Subtract 16z from each side

17z-16z = 16z-16z − 15

z = -15

Please help! I will give brainliest!

15 points!!!

Answers

Answer:

1887

Step-by-step explanation:

[tex]\textrm{substitute }x=-5\textrm{ into the equation:}\\2(-5)^{4}-5(-5)^{3}+(-5)^{2}+3(-5)+2\\=2(625)-5(-125)+25-15+2\\=1887[/tex]

2. Determine the amount of interest owed after 2 years on a $850 loan at 12.25% if no payments
are made. LTD
Enter your answer

Answers

Answer:

Question example:

The amount of interest is 208.74$

Here we have given

Amount (P)=850$

Interest (r)=12.25%

Time (t)=2 years

we have to calculate the simple interest

What is the formula for simple interest?

[tex]I=\frac{PRT}{100}[/tex]

Plug the given value in above formula

[tex]I=\frac{850*12.25*2}{100}[/tex]

Simplify above equation we get

[tex]I=\frac{850*12.25*2}{100}\\\\I=\frac{20874}{100}\\\\I=208.74[/tex]

Therefore the amount of interest is 208.74$

To learn more about the interest visit:

https://brainly.com/question/25793394

michael jordan only has 1.8 pieces of greatest of all time

and lebron james has 8.48 pieces of greatest of all time

answer 8.48 x 1.8 when you get the answer add it woth 8.48 and 1.8
will give brainliest

Answers

Answer:

25.544

Step-by-step explanation:

Please help please help

Answers

Answer: 78x^6y^4

Solving Steps:

(1,6) (3,4) what’s the slope?

Answers

Answer: m = -1

The slope is -1

Plz mark brainliest:)

Slope is -1

Have a great day

for a giveaway, a local radio station is putting together goodie bags. The bags will include tickets and posters. Each goodie bag will receive an equal share of 54 tickets and 36 posters.
(A) what is the greatest number of goodie bags that can be created? explain your reasoning.
(B) How many of each type of giveaway will be in each bag? Explain your reasoning.

Answers

3 bags can be made with 12 posters in each and 18 tickets in each

Sarah and her children went into a movie theater where they sell bags of popcorn for $7.50 each and drinks for $4.50 each. Sarah has $90 to spend and must buy a minimum of 16 bags of popcorn and drinks altogether. If xx represents the number of bags of popcorn purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

A possible solution is she should by 6 bags of popcorn and 10 drinks

Step-by-step explanation:

The price of each bag of popcorn = $7.50

The price of each drink = $4.50

The amount Sarah has to spend = $90

The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks

Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y

Therefore, we have;

x + y ≥ 16.....(1)

x × 7.5 + y × 4.5  ≤ 90

Which gives;

7.5·x + 4.5·y ≤ 90....(2)

Rewriting the inequalities as a function of y, gives;

From inequality (1), x + y ≥ 16, we have;

y = ≥ 16 - x

From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;

7.5·x + 4.5·y ≤ 90

4.5·y ≤ 90 - 7.5·x

y ≤ 90/4.5 - 7.5/4.5·x

y ≤ 20 - 5/3·x

Please find attached, the plot of the inequalities

A possible solution is given as the value of x = 6, where y = 10

Therefore, she should by 6 bags of popcorn and 10 drinks.

what is the slope of a line perpendicular to the line whose equation is 9x+3y=-27

Answers

Answer:

y = (1/3)x - 27 <-- perpendicular line

Step-by-step explanation:

9x + 3y = (-27)

3x + y = (-27)

y = (-3x) - 27 <-- original line

y = (-3x) - 27 <-- original line

slope = (-3)

slope = (-3/1)

inverse = (1/-3)

negative inverse = (1/3)

y = (1/3)x - 27 <-- perpendicular line

2-83. Build, simplify, and solve each equation. Record your work. Drag the tiles below into the equation mat.
a. -x+ 2 = 4​

Answers

Answer:

you need to add 2 to the x and convert it to negative   X=-2

Step-by-step explanation:

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