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Drupady [299]
2 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]2 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)!)

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?Order: Add 125 mg of morphine sulfate to DW 250 mL stat. and infuse at 0.005? mg/kg/min.
Elis [28]

Answer:

A. 57 mL/hr

Step-by-step explanation:

Mass of morphine sulfate = 125 mg

DW = 250 mL

Rate of infusion = 0.005 mg/kg/min

Converting to mg/kg/hour

0.005 mg/kg/min×60 = 0.3 mg/kg/hour

For the patient who weighs 95 kilograms

0.3 mg/kg/hour×95 = 28.5 mg/hour

For the mass of 125 mg of morphine sulfate

1 mg

250/150 = 2 ml/mg

Rate of infusion

28.5×2 = 57 mL/hr

∴ Rate of infusion is 57 mL/hr

5 0
2 years ago
Write an expression for the number of tiles Bruce used and an expression for the number of tiles Felicia used. Use x to represen
Basile [38]

Expression for the number of tiles Bruce used : <u>5x+2</u>

Expression for the number of tiles Felicia used : <u>5x + 5</u>

<h3>Further Explanation  </h3>

One variable linear equation is an equation that has a variable and the exponent number is one.  

Can be stated in the form:  

\large{\boxed{\bold{ax=b}}

or  

ax + b = c, where a, b, and c are constants, x is a variable  

We complete the introduction for the task

Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job.

Felicia also retiled her kitchen. She bought five boxes of tile with the same number of tiles that were in each as Bruce’s boxes. She also ran out of tile. She had to go back to the store and get an extra five tiles to finish the job.

We can translate those in to expression of One variable linear equation (x = number of tiles)

  • Bruce

He bought three boxes ⇒ 3x

He only used two tiles from the last box  ⇒ 2x + 2

Total tiles of Bruce used : 3x+2x+2 = 5x+2

  • Felicia

She bought five boxes  ⇒ 5x

She get an extra five tiles to finish the job. ⇒ 5 tiles

Total tiles of Felicia used : 5x+5

<h3>Learn more</h3>

linear equation

brainly.com/question/13101704

Keywords : an expression, linear equation, tiles, box,Bruce,Felicia

#LearnWithBrainly

8 0
2 years ago
Read 2 more answers
Sam painted 3 pictures.ellie painted twice as many pictures as Sam how many pictures did they paint altogether
zepelin [54]
Sam painted 3
ellie painted 2x3, so she painted 6
6+3=9
together they painted 9 pictures
3 0
2 years ago
Read 2 more answers
Write 9,540,000 in expanded form using exponents to show powers of 10
krek1111 [17]

Answer:

9* 10^{6}+ 5* 10^{5}+4* 10^{4}.

Step-by-step explanation:

Given  :  9,540,000

To find : Write 9,540,000 in expanded form using exponents to show powers of 10.

Solution : We have given 9,540,000

Here 9 is at million place 9000000

5 is at hundred thousand place = 500,000.

4 is at tens thousand place = 40,000

We expanded it as

9, 000,000 + 500,000+40,000.

In term of power of 10.

9* 10^{6}+ 5* 10^{5}+4* 10^{4}.

Therefore,

9* 10^{6}+ 5* 10^{5}+4* 10^{4}.

6 0
2 years ago
The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo
oksian1 [2.3K]
<span>Chaneece chooses x as the larger number and uses the inequalities y ≤ 40 – x and y ≤ x – 20 to determine the possible solutions.

</span>y ≤ 40 – x, if x must be between 0 and 10, y must be between 20 and 40 <span>it is true
proof
</span><span>for x=0  and y=10,  y ≤ 40 – x equivalent to 10<40-0=40 it is true
</span>x=10, y=30,   <span>y ≤ 40 – x  equivalent to 30=40-10=30 it is true

the answer is </span><span>A) Yes, Chaneece found the correct solution. </span>
5 0
2 years ago
Read 2 more answers
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