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Ronch [10]
3 years ago
15

A restaurant offers 6 choices of appetizer, 8 choices of a main meal, and 5 choices of dessert. A customer can choose to eat jus

t one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?
Mathematics
1 answer:
Katen [24]3 years ago
6 0

Answer:

377 choices

Step-by-step explanation:

From the above question, we are told that

A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses.

Let us represent each choice by :

A = Appetizer = 6

M = Main meal = 8

D = Dessert = 5

a) The combination of the 3 choices together

AMD=6 × 8 × 5=240

b) AM= Appetizer and Main meal

= 6 × 8 = 48

c) AD= Appetizer and Dessert

= 6 × 5 = 30

d) MD = Main meal × Dessert

= 8 × 5 = 40

e) A,M,D (each alone)=

Appetizer + Main meal + Dessert

= 6 + 8 + 5

= 19

Assuming all choices are available, how many different possible meals does the restaurant offer?

This is calculated as:

AMD + AM + AD + MD + A,M,D

240 + 48 + 30 + 40 + 19

= 377 choices

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Fine has 3 times more books than Ruth. Ruth has 17 books. Write and solve the
Pepsi [2]

Answer: 17 • 3 = 51 or 17 x 3 = 51

Step-by-step explanation:

When the problem says that Fine has three more books than Ruth, that means that you have to multiply the amount of books that Ruth has by three.

3 0
4 years ago
Angle K measures 67º and angle L measures 119°.
Tamiku [17]

Answer:

B. Angle M= 113° and Angle N = 61°

Step-by-step explanation:

Angle K + Angle M =180°

67° + Angle M=180°

Angle M = 113°

Angle L + Angle N =180°

119° + Angle N =180°

Angle N = 61°

5 0
3 years ago
2x^2 + 7x + 5 = (x + 1) (?)
seraphim [82]

Answer:

(2x+5)

Step-by-step explanation:

2x^2 + 7x + 5 = (x + 1) (?)

Must multiply to 10 and add to 7:

5 and 2

(2x^2+2x)(5x+5)

2x(x+1)5(x+1)

(2x+5)(x+1)

Hope this helps! Please mark brainliest :)

4 0
3 years ago
This is a A-E question! If you could assist me through each part, you will be rewarded brainliest and I'll obviously owe you big
otez555 [7]

We are given that revenue of Tacos is given by the mathematical expression -7x^{2}+32x+240.

(A) The constant term in this revenue function is 240 and it represents the revenue when price per Taco is $4. That is, 240 dollars is the revenue without making any incremental increase in the price.

(B) Let us factor the given revenue expression.

-7x^{2}+32x+240=-7x^{2}+60x-28x+240\\-7x^{2}+32x+240=x(-7x+60)+4(-7x+60)\\-7x^{2}+32x+240=(-7x+60)(x+4)\\

Therefore, correct option for part (B) is the third option.

(C) The factor (-7x+60) represents the number of Tacos sold per day after increasing the price x times. Factor (4+x) represents the new price after making x increments of 1 dollar.

(D) Writing the polynomial in factored form gives us the expression for new price as well as the expression for number of Tacos sold per day after making x increments of 1 dollar to the price.

(E) The table is attached.

Since revenue is maximum when price is 6 dollars. Therefore, optimal price is 6 dollars.


6 0
3 years ago
I will mark you brainliest if you answer this!
NeX [460]

Answer: A

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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