4.
A restaurant offers seven kinds of main
courses, nine types of drinks, and four types of
desserts. How many different meals
consisting of a main course, a drink, and a
dessert does the restaurant offer? |

Answers

Answer 1

Answer:

252

Step-by-step explanation:

Types of main courses available = 9

Types of drinks offered = 7

Types of deserts = 4

Number of different meals consisting of a main course, a drink and a desert offered

Using the combination rule :

9C1 * 7C1 * 4C1

nCr = n! ÷ (n-r)!r!

So using calculator we obtain :

9 * 7 * 4 = 252


Related Questions

What percentage of 400=104 pls help me

Answers

Answer:

26%

Step-by-step explanation:

To find the percentage of a number, I find it's often helpful to first write it as a fraction:  [tex]\frac{104}{400}[/tex] .

Percentages can be represented as a fraction by putting them over 100, eg. 25% is [tex]\frac{25}{100}[/tex]

.

Therefore, to get [tex]\frac{104}{400}[/tex] into a percentage, we need to change that 400 on the bottom to 100. How do we do that? Divide by four. However, anything we do to the bottom of a fraction, we must do to the top, so we divide both by four:

[tex]\frac{\frac{104}{4} }{\frac{400}{4} }[/tex] = [tex]\frac{26}{100}[/tex]

As we saw earlier, if a fraction has 100 at the bottom, then the top of the fraction is the percentage. So 104 is 26% of 400.

The line of best fit for a set of data is y = 19.3232 – 0.7334x. What is the approximate x-value where the y-value is 15.654

Answers

Answer:

The answer should be 5.003, you can round if you want to 5

Step-by-step explanation:

What is 6 ( 8 + w). Use the distributive property to remove the parentheses.

Answers

Answer:

42 + 6w

Step-by-step explanation:

Basically,

6(8+w) is 6 x (8+w)

OR 6(8) + 6(w)

Hence 42 + 6w

Using the distributive property you would multiply the number outside of the parentheses by everything inside the parentheses. So 6 x 8 and 6 x w.

6 x 8= 48 6 x w=6w

Final answer: 48 + 6w

Find the value of x and y. Select all that apply. Please show your work :) image is attached

Answers

Answer:

x = 29

y = 110°

Step-by-step explanation:

y° = (3x + 23)° => corresponding angles are congruent)

(2x + 12)° + y° = 180° => linear pair

Thus:

(2x + 12)° + (3x + 23)° = 180° => substitution

2x + 12 + 3x + 23 = 180

Add like terms

5x + 35 = 180

5x = 180 - 35

5x = 145

x = 145/5

x = 29

✔️y = (3x + 23)°

Plug in the value of x

y = 3(29) + 23

y = 110°

Apply the distributive property to create an equivalent expression.
I will give brainiest but if you put a link i won't

Answers

9514 1404 393

Answer:

  12e -6f -8

Step-by-step explanation:

The factor outside parentheses multiplies each term inside parentheses.

  = (6e)(2) +(-3f)(2) +(-4)(2)

  = 12e -6f -8

A 29-foot rope is cut into two pieces. The longer piece is 2 feet longer than twice the shorter piece. How long is each piece?

Answers

Answer:

20 is the longer piece, 9 is the shorter piece

Step-by-step explanation:

9*2=18

18+2=20

20+9=29

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+161x+108
y=−16x
2
+161x+108

Answers

Answer:

5.03secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

y = -16x^2 + 161x + 108

The rocket reaches it max height when its velocity is zero

Velocity is expressed as;

V(x) = dy/dx  = 0

dy/dx = -32x + 161

0 = -32x + 161

32x = 161

x = 161/32

x = 5.03

Hence it will take 5.03secs for the rocket to reach its maximum height

please help i don't even where to start

solve for x​

Answers

The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.

Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length x.

Now, by the intersecting chord theorem,

16×4 = x × x

or

x ² = 64

so that

x = 8


It costs $29.50 to enter an amusement park and $0.25 to ride a ride. You have $30. Write an equation that represents the number of rides you can ride.

Answers

Answer: 120.

Step-by-step explanation: $30 divided by $0.25

29.50-30=.50 .50/.25=2 you can ride 2 rides

Polygon STUV is reflected over the X axis and then over the Y axis to create WXYZ. Which of the following sides are congruent?

Answers

Answer:

ST and WX

Step-by-step explanation:

flipped around st and wx mathched

Answer:

ST and WX

Step-by-step explanation:

Lydia would like to have cake and pizza at her party the cake will cost $23, each pizza cost $15.00 the total budget for the food at her party is $75 what are the number of pizzas she can get and what is the equation and define your variable

Answers

Answer:

20

Step-by-step explanation:

fw3f2f3sf a

Given that the quadrilateral shown is a parallelogram, which statements are correct?
A)
mZA = 950
B)
mZB = 65
C)
mZC = 959
D)
AD = 8
E)
DC = 12

Answers

Answer: I know that DC is 12 and AD=8 the others i dont know.

Step-by-step explanation:

This is because opposite sides of a parallelogram are parallel and congruent. therefore AB and DC are equal/congruent.

By rounding to 1 significant figure estimate the answer to the question of these questions. a) 346x904
b) 2451x988
c) 3203x7756​

Answers

C) 3203x7756 is the correct answer for your question

800:2 in the simplest form

Answers

Answer:

400:1

Step-by-step explanation:

800:2

800/2:2/2

400:1

The equation has a solution of x = 5.



What is the value of k?

k =

Answers

Answer:

K=  -11

Step-by-step explanation:

Given the points A (-3, -1), B (1, 4) C (4, -1) what is the x coordinate of D, if ABCD is a parallelogram?

Answers

Given:

ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).

To find:

The x-coordinate of point D.

Solution:

Let the point D be (x,y).

We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

In parallelogram ABCD, AC and BD are two diagonals.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+4}{2},\dfrac{-1+(-1)}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

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

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

On comparing both sides, we get

[tex]\dfrac{1}{2}=\dfrac{1+x}{2}[/tex]

[tex]1=1+x[/tex]

[tex]1-1=x[/tex]

[tex]0=x[/tex]

Similarly,

[tex]-1=\dfrac{4+y}{2}[/tex]

[tex]-2=4+y[/tex]

[tex]-2-4=y[/tex]

[tex]-6=y[/tex]

The coordinates of point D are (0,-6).

Therefore, the x-coordinate of point D is 0.

Step by step explanation please

Answers

Step-by-step explanation:

of what where is the question

what are we explaining ?

please help me fast! thanks​

Answers

Answer:

the answer is 15

Step-by-step explanation:

Just add

Answer:

15 grams

Step-by-step explanation:

You are dealt one card from a standard 52-card deck. Find the probability of being dealt a picture card.


Answers

Answer:

Step-by-step explanation:

3/13

The probability of being dealt a picture card is 3/13

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the total number of cards in the deck be = 52 cards

Let the number of picture cards be = A

Now , the picture cards include 4 colors of Jacks , 4 colors of Queens and 4 colors of Kings

So , total number of picture cards = 4 + 4 + 4

                                                        = 12 picture cards

And the probability of drawing a picture cards is P =
number of picture cards / total number of cards in the deck

The probability of drawing a picture cards is P = 12 / 52

                                                                               = 3 / 13

Therefore , the value of P is 3/13

Hence , The probability of being dealt a picture card is 3/13

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ2

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP


New plants and bushes are to be planted along a path that goes around a park. The shape of the park is shown below. What is the distance around the park?

Answers

Answer:

640

Step-by-step explanation:

Fhekdgjsddjsbsjsnsdbjsndbdksdbjsssnjsbd

Help......................

Answers

7 is the answer. hope this helps!
the answer is 7, have a good day and good luck

LOOK AT THE PHOTO PLEASE

Answers

Answer:

The answer to the question provided is 4.

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \: \: 9x + 4 = 5x + 20 \\ \frac{ - 5x = - 5x}{4x + 4 = 20} \\ \frac{ \: \: \: \: \: \: \: \: - 4 = - 4}{ \frac{4x}{4} = \frac{16}{4} } \\ x = 4[/tex]

[I apologize if the answer to the question is inaccurate]

During a 4​-year ​period, ​65% of snowstorms in a certain city caused power outages. 14 of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the 4​-year period.

Answers

Answer:

40

Step-by-step explanation:

S x .35 = 14

S = 14/.35

S = 40

Verify:

40 x 35% = 14

Can anyone help me out??

Answers

9514 1404 393

Answer:

  p(1) = 6

Step-by-step explanation:

The basic idea is to put 1 wherever you see x. That gives you ...

  p(1) = 2·1² +3·1 +1

The powers of x are all 1 when x=1, so the value of p(1) is just the sum of the coefficients:

  p(1) = 2 + 3 + 1

  p(1) = 6

Enter your answer in the box.
Find the value of the expression 4d - C + 3 when c = 3 and
d = 6.

Answers

Answer:

4d - c + 3

4(6) - 3 + 3

24 - 3 + 3

24

Step-by-step explanation:

24

Hope this helps :T

Huh! Its me DaBaby and i need your help with this question. Yeah Yeah!

Answers

Answer:

the third one is the correct answer

[tex]b { }^{ - 16} [/tex]

Step-by-step explanation:

hope the helps

Answer:

b to power of -16

Step-by-step explanation:

A basket had 15 mangoes. A monkey came and took
away two-fifths of the mangoes. How many mangoes
were left in the basket

Answers

Answer: There are 9 mangoes left in the basket.

Step-by-step explanation:

(2/5) * 15 = 6.

15 - 6 = 9.

what is the fraction form of .8

Answers

i believe its 4/5 :)

Write the equation of the quadratic function shown in the graph.

Answers

Answer:

Step-by-step explanation:

y = a(x-h)² + k, where (h,k) is the vertex.

vertex is clearly (0,0), so y = ax².

Plug in (3,3)  and solve for a:

3 = a3²

a = ⅓

y = ⅓x²

Which of the expressions are equivalent to the one below? Check all that
apply.
10x(3+4)
A. (3+4)x10
O B. (10x3) + 4
C. 10.3 + 10 - 4
D. 10. (4+3)
SUBMIT

Answers

Hi hi!!

So, A is correct because it is the same equation just (3+4) is in the front. D is also correct because it is the same question because when a number is for example like 10(3+4) it mean multiplication and in this case you are multiplying. B and C are incorrect because they do not have a total of 70. The original equation, 10x(3+4) = 10x7 = 70.

Correct answers:

A. (3+4)x10
D. 10(4+3)
Other Questions
Help. Ill give branliest!! Due today! I NEED HELP FAST! Find the surface area of the shape below PART A: Which of the following identifies the central idea of the text? A.) Cuba and the United States did not accept Jewish refugees because they simply did not have the economic means to support them. B.) The prejudices and economic fears of several countries led to the deaths of many Jewish refugees, who tried to escape Nazi Germany. C.) Despite not gaining entry to the United States or Cuba, the Jewish refugees found security from other countries that were wealthier. D.) Due to the small number of refugees on the St. Louis, relatively few people were affected by Cubas decision to deny them entry. I need answers for ""resistance to the Vietnam war"" commonlit On Dec. 31, 2020, ABC Corp issued 4 year, 7% bonds with$3,000,000 as par value. ABC Corp. received $3,360,000 in cash. thebond interest is paid semiannually on June 30 and December 31 everyyear, coMoving to another question will save this response. Question 3 ww r On Dec 31, 2020, ABC Corp issued 4-year, 7% bonds with $3,000,000 as par value ABC Corp reed $3,300 000 cash The bond p on June 30 a Giving away 30 points, have a good day PLSS HELP IMMEDIATELY!!! ill give brainiest if u dont leave a link! A dentist uses a concave mirror to examine a tooth that is 1.00cm in front of the mirror. The image of the tooth forms 10.0 cmbehind the mirror. What is the mirror's radius of curvature? Harper Engine Company needs $611,000 to take a cash discount of 2.50/10, net 75. A banker will loan the money for 65 days at an interest cost of $16,200. a. What is the effective rate on the bank loan? (Use a 360-day year. Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.) Effective rate of interest % b. How much would it cost (in percentage terms) if Harper did not take the cash discount but paid the bill in 75 days instead of 10 days? (Use a 360-day year. Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.) Cost of not taking a cash discount % c. Should Harper borrow the money to take the discount? Yes No d. If another banker requires a 10 percent compensating balance, how much must Harper borrow to end up with $611,000? (Round your answer to 2 decimal places.) Amount to be borrowed e-1. What would be the effective interest rate in part d'if the interest charge for 65 days were $10,600? (Use a 360-day year. Do not round intermediate calculations. Input your answer as a percent rounded to 2 decimal places.) Effective rate of interest %e-2. Should Harper borrow with the 10 percent compensating balance requirement? (There are no funds to count against the compensating balance requirement.) Yes No If a random variable has binomial distribution with n = 150 and p = 0.6. Using normal approximation the probability; P(X 95) =--- How do you pronounce Aevico?A. Ay-Vak-OhB. Ah-Vi-SoC. Ay-Vick-OhD. Ah-Vic-OhGotem HELP PLS ITS ALMOST DUE PLS PLS PLS 6. Markets with elastic supply and demand curves: a) Have demand and supply curves that never intersect. B) Are very sensitive to a change in price. C) Have greater movements in quantity than prices. D) Are very sensitive to a change in quantity. E) Are only theoretical and do not exist in the real world. Problem 7-2 Cost-benefit analysis of cash management (L07-2] Neon Light Company of Kansas City ships lamps and lighting appliances throughout the country. Ms. Neon has determined that through the establishment of local collection centers around the country, she can speed up the collection of payments by two days. Furthermore, the cash management department of her bank has indicated to her that she can defer her payments on her accounts y one-half day without affecting suppliers. The bank has a remote disbursement center in Florida. points a. If Neon Light Company has $2.80 million per day in collections and $1.16 million per day in disbursements, how many dollars will the cash management system free up? (Enter your answer in dollars not in millions (e.g., $1,234,567).)b. If Neon Light Company can earn 7 percent per annum on freed-up funds, how much will the income be? (Enter your answer in dollars not in millions (e.g., $1,234,567).) Interest on freed-up cash c. If the total cost of the new system is $455,000, should it be implemented? O No Yes The diagram shows part of an aquatic food webfor a stable lake ecosystem in Connecticut.TurtlesLarge fishSmall fishAquatic insectsTadpolesWater fleasRotifersAlgaeWhat is the source of energy for the algae?A wavesB. sunlightC. bacteriaD. rotifers, water fleas and tadpoles High financial leverage has the effect of: Group of answer choices Reducing both the firm's risk and its potential profits. Only increasing the firm's potential profits. Increasing both the firm's risk and its potential profits. None of these answers is correct. Only increasing the firm's risk. In the Deloitte and Touche five step process to embed ethics and values within the culture of a a firm, the _______ is the stage that gaps and ambiguities are removed1. Review and revise phase2. Development of an ongoing self-assessment of the compliance program3. Review of current ethical policies and procedures4. Risk/cultural assessment Celia made 3 1/2 cups of rice. a serving is 2/3 cupHow many servings of rice did Celia make Read this excerpt from "A Servant to Servants" and answer the question.There's nothing but a voice-like left insideThat seems to tell me how I ought to feel,And would feel if I wasn't all gone wrong.You take the lake. I look and look at it.I see it's a fair, pretty sheet of water.I stand and make myself repeat out loudThe advantages it has, so long and narrow,Like a deep piece of some old running riverCut short off at both ends.Based on the narrator's emotional state, what is most likely the meaning of sheet?O a thin surface layera flat, open expanseO an insulating coverO a blank rectangular area fill in the blank. it can be useful to have a mentor because they will help you _____ comfortable in a better longer customers