The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are six appetizers, two soups, four main courses, and six desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible?

Answers

Answer 1

Answer: 96

Step-by-step explanation:

According to the fundamental principle of counting:

Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) x (Choices for desserts)

If there is a restriction to choose between appetizer and dessert.

Then, Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) +  (Choices for soups) x (Choices for main courses) x (Choices for desserts)

= 6 x 2 x 4 + 2 x 4 X 6

= 48+48

= 96

Hence, the number of three-course meals are possible= 96

Answer 2

Answer:

96?

Step-by-step explanation:


Related Questions

I will give branliest to the first person to answer!
Simplify the following expressions
Please include the work its greatly appriciated!
1. 8x - 5 + 2x
2. 2.5w - 3y + 4w
3. 3(5 - 2n) + 9n
4. 5/7x + 15 = 9/14x - 9

Answers

Answer:

1: 10x-5

2: 6.5w-3y

3: 15+3n

4: not sure

Write an equation and solve. Round to the nearest hundredth where necessary. What is 35% of 63?

Answers

22.05

35/100=.35 .35x63=22.05

if 5x+2y=20 and y=10, what is 3x?​

Answers

Answer:

3x = 0

Step-by-step explanation:

Given,

y = 10

now,

5x+2y = 20

or, 5x+2×10=20

or, 5x = 20-20

or, 5x = 0

or, x = 0/5

or, x = 0

Again,

3x = 3×0 =0

A sonographer is trying to determine the size of a gallstone. If
the stone is spherical and has a diameter of 12 millimeters, what
Is its volume?

Answers

Answer:

0.9 cubic centimeters

Step-by-step explanation:

(1, -7) slope = -1 writing linear equations given point and slope

Answers

Answer:

The answer is

[tex] \huge y = - x - 6[/tex]

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y + 7 = - 1(x - 1) \\ y + 7 = - x + 1 \\ y = - x + 1 - 7[/tex]

We have the final answer as

[tex]y = - x - 6[/tex]

Hope this helps you

Write the equation of the line that is parallel to the line y = -3x + 12 and passes through the point (-1, 6). (2 points)

Answers

Answer:

x=−9. Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12. therefore a line ...

x=−9 Explanation: x=12 is a line parallel to the y-axis passing through all points in the plane with an x-coordinate of 12 therefore a line parallel ... More

Martinez bought 8 3/4 yd of fabric. She wants to make a skirt using 1 7/8 yd, pants using 2 3/8, and a vest using 1 2/3 yd. how much fabric will be left over?
Please help ASAP!!! :(

Answers

Answer:

The fabric left over will be [tex]2\frac{5}{6}[/tex]

Step-by-step explanation:

Total fabric bought= [tex]8\frac{3}{4} \ yd[/tex]

Fabric used for skirt = [tex]1\frac{7}{8} \ yd[/tex]

Fabric used for pants = [tex]2\frac{3}{8} \ yd[/tex]

Fabric used for vest = [tex]1\frac{2}{3} \ yd[/tex]

Total fabric used = Fabric used for skirt+Fabric used for pants+Fabric used for vest

Total fabric used=[tex]1\frac{7}{8}+2\frac{3}{8}+1\frac{2}{3}[/tex]

[tex]=\frac{15}{8}+\frac{19}{8}+\frac{5}{3}\\=\frac{15*3+19*3+5*8}{24}\\=\frac{45+57+40}{24}\\=\frac{142}{24} \\=\frac{71}{12}[/tex]

So, Total fabric used = [tex]\frac{71}{12}[/tex]

Total Fabric left= Total fabric bought-Total fabric used

Total Fabric left=[tex]8\frac{3}{4}-\frac{71}{12}[/tex]

[tex]=\frac{35}{4}-\frac{71}{12}\\=\frac{35*3-71}{12} \\=\frac{105-71}{12}\\=\frac{34}{12}\\=\frac{17}{6}\\=2\frac{5}{6}[/tex]

So, the fabric left over will be [tex]2\frac{5}{6}[/tex]

A police radar gun is used to measure the speeds of cars on a highway. The speeds of cars are normally distributed with a mean of 55 mi/hr and a standard deviation of 5 mi/hr. Roughly what proportion of cars are driving between 60 and 70 mi/hr? Round to the nearest thousandth) Group of answer choices

Answers

Answer:

Approximately [tex]0.157[/tex].

Step-by-step explanation:

Let [tex]X[/tex] denote the speed of a car. The question is asking for [tex]P(60 \le X \le 70)[/tex].

That probability is equal to [tex]P(X \le 70)- P(X \le 60)[/tex].

Find each of [tex]P(X \le 60)[/tex] and [tex]P(X \le 70)[/tex] using a [tex]Z[/tex]-table.

Calculate the [tex]Z[/tex] value for [tex]x = 70[/tex] and [tex]x = 60[/tex]:

At [tex]x = 70[/tex], [tex]\displaystyle z = \frac{x - \mu}{\sigma} = \frac{60 - 55}{5} = 3[/tex].

At [tex]x = 60[/tex], [tex]\displaystyle z = \frac{x - \mu}{\sigma} = \frac{70 - 55}{5} = 1[/tex].

In other words: [tex]P(X \le 70) = P(Z \le 3)[/tex] whereas [tex]P(X \le 60) = P(Z \le 1)[/tex].

Look up [tex]P(Z \le 3)[/tex] and [tex]P(Z \le 1)[/tex] on a [tex]Z[/tex]-table. The question is asking that the answer be rounded to the nearest thousandth. Therefore, keep at least more decimal places than that in intermediate values.

[tex]P(Z \le 3) \approx 0.9987[/tex] and [tex]P(Z \le 1) \approx 0.8413[/tex].

Therefore:

[tex]\begin{aligned}P(60 \le X \le 70) &= P(X \le 70)- P(X \le 60) \\ &= P(Z \le 3) - P(Z \le 1) \approx 0.157\end{aligned}[/tex].

After simplifying the following expression, the coefficient of the m^2 term will be ______.
6mn^2 + 3m^2 + 16m^2 - 6m^2 - 5nm^2
The solution is ______

Answers

Answers:

After simplifying the following expression, the coefficient of the m^2 term will be  13  

The solution is  13m^2 + 6mn^2 - 5nm^2  

====================================================

Explanation:

Highlight all the terms that have m^2 in them and nothing else (so that means no variables of n or n^2)

You should highlight 3m^2, 16m^2 and -6m^2 as the three terms.

The coefficients 3, 16 and -6 combine to 3+16-6 = 13

Meaning that 3m^2+16m^2-6m^2 = 13m^2

----------------

There are no other like terms that pair up.

The 6mn^2 and -5nm^2 are different because the exponent 2 is over a different letter each time. Put another way: mn^2 is not the same as nm^2

So we cannot combine 6mn^2-5nm^2. We leave it as is.

Overall, the entire expression simplifies to 13m^2 + 6mn^2 - 5nm^2

con las medidas de los lados 8cm , 9cm ,2cm se existe un triángulo ?

Answers

Answer:

si

Step-by-step explanation:

la longitud mayor es menor que la suma de las otras 2 longitudes que es 10

7. You bought three erasers and a magazine for $6. You spent a total of $18. How much did
each eraser cost?

Answers

Answer:

each eraser cost $4

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

need help on this 1 its really hard but i stilll can get it please help

Answers

Answer:

A.

92%

Step-by-step explanation:

Are these two triangles congruent? Use tracing paper to justify your answer

Answers

Answer:

no

Step-by-step explanation:

Answer:

Where's the pic shorty

Step-by-step explanation:

????????

Point A is at (3, - 8) and point B is at (7, 3)

What is the midpoint of line segment overline AB ?

Please help

Answers

I think it’s (4,-5) but I’m not sure

When two data sets are compared, what characteristics will give the most accurate prediction? Explain.

Answers

Answer:

If the trend line of scatterplots for two data sets are compared, the one more likely to provide an accurate prediction is the one with the stronger correlation.

Step-by-step explanation:

Answer:

If the trend line of scatterplots for two data sets are compared, the one more likely to provide an accurate prediction is the one with the stronger correlation.

Step-by-step explanation:

correct on edge

Solve the equation and describe what your answer. What happens? 5x-7=2x+1+3x

Answers

You combined like terms

Answer: The Answer is 0

Step-by-step explanation:

The key here is combining like terms. Here:

1) 5x-7=2x+1+3x

2) 5x-7=5x+1

Then you add 7 to both sides anywhere that there is no variable. You also subtract 5x to the other 5x

3) 0x=8

When you divide by zero on both sides, your answer should be 0

what is the equation of aline that passes through the point (4,-8) and has a slope of -1/2?

Answers

Answer:

The equation of the line will be:

[tex]y=-\frac{1}{2}x-6[/tex]

Step-by-step explanation:

Given

slope = m = -1/2point (4, -8)

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -1/2 and the point (4,-8)

[tex]y-\left(-8\right)=\frac{-1}{2}\left(x-4\right)[/tex]

[tex]y+8=\frac{-1}{2}\left(x-4\right)[/tex]

subtract 8 from both sides

[tex]y+8-8=\frac{-1}{2}\left(x-4\right)-8[/tex]

[tex]y=-\frac{1}{2}x-6[/tex]

Therefore, the equation of the line will be:

[tex]y=-\frac{1}{2}x-6[/tex]

What is the ones digit of 5120 + 2301 + 456?

Answers

Answer:

7

Step-by-step explanation:

Easier than you think. You do not have to add the numbers together to find your answer. You can just add 0+1+6, and you will get 7.

Answer:

7

Step-by-step explanation:

5120+2301=7421

7421+456=7877

Last # is 7

Please help I’m stuck on this question

Answers

the answer is b. the rest is so it can be enough charecters so i can post this answer

Please help I’m stuck on this question

Answers

Answer:

C. a => c

Step-by-step explanation:

       a                          b                           c                a => b          a => c (not C)

       0                          0                        0                    

       0                           0                        1                    

       0                          1                         0                    

        0                           1                         1                                          

        1                         0                          0                     F                  F

         1                        0                          1                      F                  

         1                        1                           0                                         F

          1                       1                          1

¬a                          b                           c                a => b          ¬a => c (not B)

       1                          0                        0                  F                  F

       1                           0                        1                  F  

       1                          1                         0                                       F

        1                           1                         1                                          

        0                         0                          0                                      

        0                        0                          1                                        

         0                        1                           0                                        

          0                       1                          1

a                          b                           c                a => b          c => a (not D)

       0                          0                        0                                        

       0                           0                        1                                            F

       0                          1                         0                    

        0                           1                         1                                           F

        1                         0                          0                     F                  

         1                        0                          1                      F                  

         1                        1                           0                                        

          1                       1                          1

¬a                          b                           ¬c                a => b          ¬a => ¬c

       1                          0                        1                                          

       1                           0                        0                                         F

       1                          1                         1                                      

        1                           1                         0                                        F

        0                         0                          1                 F                      

        0                        0                          0                 F                      

         0                        1                           1                                        

          0                       1                          0

answer: everything is false lol

Celeste wants to have her hair cut and
permed and also go to lunch. She knows
she will need $95. The perm costs twice
as much as her haircut and she needs $5
for lunch.
How much does the perm cost?

Answers

Answer:

the perm will cost $60

Step-by-step explanation:

take away $5 from the total because Its a set amount that's already known

which leaves 90 which if you  take 30 away you are left with 60 its twice the amount of the haircut, I didn't really do any math techniques so I'm sorry that my explanation is weird, I hope this helped


[tex](a) { - (b)}^{2} [/tex]

Answers

Answer:

 a - b2

Step-by-step explanation:

STEP  1 :

Trying to factor as a Difference of Squares:

1.1      Factoring:  a-b2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  a1   is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares

Final result :

 a - b2

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST! :)

does anyone like 4freakshow if so start a convo in comments 11-16 pleasee

Answers

Answer:

mhm

Step-by-step explanation:

Answer:

Bet

Step-by-step explanation:

Ellen borrowed some money from her brother. She paid him back by giving him the same amount every week.The graph shows how much DO after each week.

A. 18 weeks
B.6 weeks
C.12 weeks
D. She will never pay it back

Answers

18 weeks will have to be do after each week
It’s 6 weeks

I’m 100% sure!

41 divide by 278.8 hi my name chavoria

Answers

If you divide 41 by 278.8 it equals 0.147058823529412


I believe u might of meant 278.8 divided by 41 which equals 6.8

Selecting which is the digit six is 10 times the value of the digit six in 3.161

Answers

Step-by-step explanation:

All the answers which apply are D and F

Answer:

I think it is d but I am now overthinking it so don't put too much trust in that

Answer this please thanks

Answers

Answer:

No

Step-by-step explanation:

The first 3 boxes are proportional since they have a ratio of 1:3, but 6:21 is not proportional to the others.

Answer:

No it is not proportional.

Step-by-step explanation:

This is not proportional because

2 times 3 = 6

4 times 3 = 12

8 times 3 =  24

but,

6 times 3 = 18 not 21 so it is not proportional.

Hope this helped! Ask me any questions if needed!

(((click on the image to see it all))))

I need the answers to number 2 and 4 asap​

Answers

Answer:

2.Matrices and Linear Algebra. 2.1 Basics. Definition 2.1.1. A matrix is an m × n array ... aij = 0 i = j. (1b) A diagonal matrix A may be denoted by diag(d1,d2,... ,dn) ... space of A. With r1 (A),...,rm (A) denoting the rows of A the row space

4.Introduces reflections in the x- and y-axes. Demonstrates the ... This leaves us with the transformation for doing a reflection in the y-axis. For this transformation, I'll switch ... Many textbooks don't get any further than this. If these are all the rules ...

In circle K with \text{m} \angle JKL= 138^{\circ}m∠JKL=138

, find the angle measure of minor arc \stackrel{\Large \frown}{JL}.
JL

.

Answers

^ what they saidddddddddddddddddd

Becky read 10 books in 4 days.Sarah reads 50 books in 20 days. Are the two girls reading at the same rate

Answers

Yes,
10 x 5 = 50
4 x 5 = 20
They both have equal multiples.
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It must be prepared to accept constructive criticism and enter into a dialogue with dissident groups with a view to making its policies and measures acceptable. It always aims at the good of the people. The men and women forming such a government are persons who have the support of the people with them in good or bad times.To conclude, it may be said that a representative government i.e. a democratically elected government which is stable and which can act with circumspection and vision for the prosperity and welfare of its citizens as well as for the future of the nation as a whole is to be considered a good government. A good government should therefore take cognizance of what years ago Jean- Paul Rousseau wrote in his Du Contract Social about the ultimate source of authority of a good government. 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