answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ghella [55]
2 years ago
8

Alejandra's Tapas Bar offers a menu consisting of $9$ savory and $5$ sweet dishes. You can also get a mix-and-match plate consis

ting of two different dishes on the menu. How many different mix-and-match plates can you get consisting of two savory dishes?
Mathematics
1 answer:
Mariana [72]2 years ago
7 0

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 p_1, p_2,...,p_9, and all the sweet dishes by q_1,q_2,...,q_5.

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

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

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

Similarly, there are 9 plated for each q_3, q_4 and q_5.

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

= 9+9+9+9+9= 9\times5=45

You might be interested in
An army contingent of 104 members is to march behind an army band of 96 members in a parade.
Trava [24]

You can dispose a number x of elements in a matrix-like formation with n\times m shape if and only if n and m both divide x, and also nm=x.


So, we need to find the greatest common divisor between 104 and 96, so that we can use that divisor as the number of columns, and then.


To do so, we need to find the prime factorization of the two numbers:


104 = 2^3\times 13

96 = 2^5 \times 3


So, the two numbers share only one prime in their factorization, namely 2, but we can't take "too many" of them: 104 has "three two's" inside, while 96 has "five two's" inside. So, we can take at most "three two's" to make sure that it is a common divisor. As for the other primes, we can't include 3 nor 13, because it's not a shared prime.


So, the greater number of columns is 2^3=8, which yield the following formations:


104 \to 8\times 13

96 \to 8\times 12

3 0
1 year ago
Figure ABCD is a parallelogram. Two trapezoids are created using line segment XY such that AX ≅ CY.
Aleonysh [2.5K]

we know that

In a parallelogram opposite sides are parallel and congruent

so

AB=DC

AD=BC

in this problem

AX ≅ CY

then

BX ≅DY

therefore

Area of the trapezoid AXYD is equal to the area of the trapezoid XBCY and the sum of the areas of both trapezoids is equal to the area of parallelogram ABCD

<u>the answer is the option</u>

Each area is equal to half of the area of ABCD

7 0
2 years ago
Read 2 more answers
What is unit form of (4 ten thousand 8 hundreds)÷10
sukhopar [10]
We have to calculate (4ten thousands 8 hundreds) : 10 and to show it in the unit form.
4 ten thousands 8 hundreds = 40,000 + 800 = 40,800
40,800 : 10 = 4,080
Answer:
4,080 in the unit form.
3 0
2 years ago
Read 2 more answers
After the bank cashed a check Maureen wrote for $60, her balance was Negative 14 dollars. The equation b + (negative 60) = negat
RoseWind [281]
B + (-60) = -14
-60 -60
---------------
b = -74

What error, if any, did Maureen make?

Maureen's work is correct, and her original balance was -$74.

Maureen should have added 60 to both sides.

Maureen should have added 14 to both sides.

Maureen made a computational error when she subtracted -14 - 60
Maureen's work is correct, and her original balance was -$74.

--> Maureen should have added 60 to both sides.

Maureen should have added 14 to both sides.

Maureen made a computational error when she subtracted -14 - 60
8 0
1 year ago
Read 2 more answers
what is the volume, in cubic inches, of a shoe box with a length of 10 inches, a width of 7 inches, and a height of 5-1/2 inches
Alex777 [14]

The volume is the product of the length, width, and height.

... V = LWH

... V = (10 in)(7 in)(5.5 in) = 385 in³

4 0
1 year ago
Other questions:
  • Malcolm has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $159.50 today.
    14·2 answers
  • While driving home for the holidays, you can’t seem to get Little’s Law out of your mind. You note that your average speed of tr
    9·1 answer
  • Yuson must complete 210 min of community service. She does 30 min each day. Which linear equation represents the number of minut
    7·1 answer
  • Beach Cruises prints brochures and fliers to advertise their dolphin watching tours. To print, the brochure requires three pages
    14·1 answer
  • In 2003, the Accreditation Council for Graduate Medical Education (ACGME) implemented new rules limiting work hours for all resi
    13·1 answer
  • A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each
    13·1 answer
  • It takes Engineer Kweku three hours to drive to his brother’s house at an average speed of 50 miles per hour. If He takes the sa
    9·1 answer
  • Four men are to divide K500 equally among them. When the money was given, 20% was taken away.
    8·1 answer
  • Delilah and a group of friends had excellent service at a restaurant. They would like to give the server a 25 percent gratuity o
    6·2 answers
  • Tia takes $50 from her bank account to pay for bus fare for the month. She does this each month for 7 months in a row. Which equ
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!