1answer.
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
Drupady [299]
4 years ago
14

A local pizzeria offers 15 toppings for their pizzas and you can choose any 3 of them for one fixed price. How many different ty

pes of pizzas can you order with 3 toppings?
Mathematics
1 answer:
Shtirlitz [24]4 years ago
6 0

Answer:

  455 or 680, depending

Step-by-step explanation:

If we assume the three choices are different, then there are ...

  15C3 = 15·14·13/(3·2·1) = 35·13 = 455

ways to make the pizza.

___

If two or three of the topping choices can be the same, then there are an additional ...

  2(15C2) +15C1 = 2·105 +15 = 225

ways to make the pizza, for a total of ...

  455 + 225 = 680

different types of pizza.

__

There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.

_____

nCk = n!/(k!(n-k)!)

You might be interested in
Corrected work and description of error
hichkok12 [17]

Answer:

hmm i have no idea can u send a clear pic of question?

8 0
2 years ago
In the diagram below, AB is parallel to CD. What is the value of x?
garik1379 [7]

The correct answer is: Option (D) x = 72°

Explanation:

When two lines are crossed by another line, the angles in matching corners are called <em>corresponding angles</em>. When the two lines are <em>parallel</em>, the corresponding angles are <em>equal</em>.

Here in this case, the two lines are "AB" and "CD", and both are parallel and are crossed by the line; therefore, <em>the corresponding angles will be the same</em>.

Since the first corresponding angle is 72°, the second angle <em>x </em>will be 72° as well. The correct answer is: x = 72° Option (D).

8 0
3 years ago
Read 2 more answers
What is the volume of the prism?​
Naddika [18.5K]

Answer:

420

Step-by-step explanation:

sorry if im wrong

8 0
3 years ago
Read 2 more answers
Please help me with this problem quickly i need to finish imagine math soon
Kazeer [188]

Answer:

first is the second box

second is also second box

thris is third box

Step-by-step explanation:

7 0
3 years ago
The linear equation y=3x−5y=3x−5 y equals 3 x , minus 5 is in what form.
Roman55 [17]
I must make some assumptions here about what you may have meant by your "<span>linear equation y=3x−5y=3x−5 y equals 3 x , minus 5."

You've written "y=3x-5" three times on the same line of type.  Why is that?  

Let's change what you've typed to the following:

</span><span>linear equation y=3x−5

separate linear equation y     equals 3x  minus 5, or y=3x-5 

Please go back and ensure that you have copied down this problem precisely as it was originally presented.  Be careful not to duplicate info (as you did in typing "y=3x-5," followed by  "</span><span>y equals 3 x , minus 5."
</span><span>
y = 3x - 5 is, as you say, "a linear equation."  The slope of this line is 3 and the y-intercept is (0, -5).

As to form:  This is a "slope-intercept equation of a straight line."

Other forms include "General form of the equation of a straight line," "Point-slope form."</span>
4 0
3 years ago
Other questions:
  • 32gal/min = how many qt/hr
    12·1 answer
  • Write an expression to show 5 less than y, plus g.
    14·2 answers
  • What is the greatest common factor of 20x^4 and 6x^3<br><br> X^3<br> X^4<br> 2x^3<br> 2x^4
    15·2 answers
  • For 21-22, simplify the algebraic expressions.<br><br> 21. -3(6y) 22. -7a(3b)
    7·2 answers
  • “If you live in Michigan, then it is cold in December. If you live in Oxford, then you live in Michigan.” Which conclusion, if a
    6·1 answer
  • N is an integer chosen at random from the set {5, 7, 9, 11 } p is chosen at random from the set {2, 6, 10, 14, 18} What is the p
    11·1 answer
  • Help please!!
    6·1 answer
  • A farmer has a square plot of land he needs to fence. he walked the diagonal of the plot of land and found it to be 80 yards. ho
    13·1 answer
  • Ali has 3 different coins (10p, 50p and £1).
    11·2 answers
  • James gathered 12kg of nuts more than Henry gathered. What
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!