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## Yesterday, Papa John's Pizza sold 120 pizzas. Today it sold

**Ask: **Yesterday, Papa John’s Pizza sold 120 pizzas. Today it sold 94 pizzas. How many fewer pizzas did the Pizza Palace sell today than it sold yesterday?

Yesterday, Papa John’s Pizza sold 120 pizzas. Today it sold 94 pizzas. How many fewer pizzas did the Pizza Palace sell today than it sold yesterday?

subtract today sale from yesterday sales.

120 – 94 = 26

just get the difference of 120 and 94 to come up with an answer of 26..

## celia and her cousin ate 1 ¾ of Hawaiian pizza

**Ask: **celia and her cousin ate 1 ¾ of Hawaiian pizza and ¾ of vegetarian pizza . what operation will you use

**Answer:**

the operation to use is addition

## If 7.5% of pizza orders in Gotham are for Hawaiian

**Ask: **If 7.5% of pizza orders in Gotham are for Hawaiian pizzas, and you know that there are 100 pizza restaurants in Gotham, what can you determine about the number of Gotham restaurants that have Hawaiian pizzas on their menus?

If 7.5% of pizza orders in Gotham are for Hawaiian pizzas, and you know that there are 100 pizza restaurants in Gotham, what can you determine about the number of Gotham restaurants that have Hawaiian pizzas on their menus?

7.5% or 0.075= pizza orders in Gotham are for Hawaiian pizzas

100= pizza restaurants in Gotham

X= number of Gotham restaurants that have Hawaiian pizzas on their menus

X = 100 x 0.075

X = 7.5

Answer:

**7.5 ****or 8**

There are **7.5** or **8 Gotham restaurants** that have Hawaiian pizzas on their menus.

## At Enzo's pizza parlor , there are seven different topings

**Ask: **At Enzo’s pizza parlor , there are seven different topings , where a costumer can order any number of these toppings.If you dine at the said pizza parlor,with how many possible toppings can you actually order your pizza?

**Answer:**

127

**Step-by-step explanation:**

The **sum rule of the fundamental principle of counting** states that if we have __X ways of doing something__ and __Y things of doing another thing__, and __we cannot do both at the same time__, then there are__ X+Y ways to choose one of the actions__.

In this problem, __the action that we are choosing is getting pizza__. __The different ways of getting pizza is the number of toppings.__ We can have a pizza with 2 toppings, 4 toppings, etc. We **add **all these ways to know how many ways can we order pizza.

Since we don’t care about the order in which our toppings go to our pizza, we use **combination**. A combination is a selection of items from a pool of possible ones such that the order does not matter. It does not matter if a topping comes first or second. What matters is if it is in the pizza or not.

The formula for taking r things from n possible ones, with no particular order is given by the formula is expressed by the formula:

[tex]frac{n!}{r!(n-r)!}[/tex]

Since there are 7 toppings to choose from, our n is 7.

For our pizza, we can use 1, 2, 3, 4, 5, 6, or 7 toppings. This is what I was referring earlier with how we can order pizza. Let us take each amount of toppings, and then add them all together.

- The pizza has 1 topping.

We let n be 7, and r be 1. Substituting gives us:

[tex]frac{n!}{r!(n-r)!}\\frac{7!}{1!(7-1)!}\\frac{7!}{1!6!}\\frac{7*6!}{6!}\\7[/tex]

__There are 7 ways to get a pizza with 1 topping.__

- The pizza has 2 toppings.

We let n be 7, and r be 2. Substituting gives us:

[tex]frac{n!}{r!(n-r)!}\\frac{7!}{2!(7-2)!}\\frac{7!}{2!5!}\\frac{7*6*5!}{2*5!}\\7*3\\21[/tex]

__There are 21 ways to get a pizza with 2 toppings.__

- The pizza has 3 toppings.

We let n be 7, and r be 3. Substituting gives us:

[tex]frac{n!}{r!(n-r)!}\\frac{7!}{3!(7-3)!}\\frac{7!}{3!4!}\\frac{7*6*5*4!}{3*2*4!}\\7*5\\35[/tex]

__There are 35 ways to get a pizza with 3 toppings.__

- The pizza has 4 toppings.

We let n be 7, and r be 4. Substituting gives us:

[tex]frac{n!}{r!(n-r)!}\\frac{7!}{4!(7-4)!}\\frac{7!}{4!3!}\\frac{7*6*5*4!}{4!*3*2}\\7*5\\35[/tex]

__There are 35 ways to get a pizza with 4 toppings.__

- The pizza has 5 toppings.

We let n be 7, and r be 5. Substituting gives us:

[tex]frac{n!}{r!(n-r)!}\\frac{7!}{5!(7-5)!}\\frac{7!}{5!2!}\\frac{7*6*5!}{5!*2}\\7*3\\21[/tex]

__There are 21 ways to get a pizza with 5 toppings.__

- The pizza has 6 toppings.

We let n be 7, and r be 6. Substituting gives us:

[tex]frac{n!}{r!(n-r)!}\\frac{7!}{6!(7-6)!}\\frac{7!}{6!1!}\\frac{7*6!}{6!}\\7[/tex]

__There are 7 ways to get a pizza with 6 toppings.__

The pizza has 7 toppings.

We let n be 7, and r be 7. Substituting gives us:

[tex]frac{n!}{r!(n-r)!}\\frac{7!}{7!(7-7)!}\\frac{7!}{7!0!}\\frac{7!}{7!}\\1[/tex]

__Note that 0! = 1__

__There is 1 way to get a pizza with all 7 toppings.__

__We add all these ways together to get how many ways we can make pizza.__

[tex]7+21+35+35+21+7+1 = 127[/tex]

__There are __**127 ways**__ to create a pizza.__

__Shortcut:__

If you notice, the answer to the number of ways of choosing 4 toppings from 7, and 3 toppings from 7 are both 35. There is a shortcut to finding the combination.

__If you take the combination of r things from n possible ones. It is the same as getting the combination of ____(n-r) things____ from ____n possible ones____. __

Since earlier, we were getting the ways to get 4 toppings, we can use this concept to say that it is the same as getting 3 toppings, since 7-4 = 3.

If you substitute it to the formula.

[tex]frac{n!}{r!(n-r)!}\[/tex]

compare it when r is (n-r)

[tex]frac{n!}{r!(n-r)!}\\frac{n!}{(n-r)!(n-[n-r])!}\\frac{n!}{(n-r)!(n-[n-r])!}\\frac{n!}{(n-r)!(n-n+r)!}\\frac{n!}{(n-r)!(r)!}\[/tex]

**It’s the same thing**, since we just reversed the order of the denominator.

To know more about combination and similar problems, click here.

brainly.ph/question/494651

brainly.ph/question/504738

brainly.ph/question/1994449

brainly.ph/question/103634

## Celia and her cousins ate 2 ¾ of hawaiian pizza,

**Ask: **Celia and her cousins ate 2 ¾ of hawaiian pizza, ⅞ of a vegetable pizza,and ½ of a pepperoni pizza. How much pizza did they eat in all?

**Answer:**

2

**Step-by-step explanation:**

theres two pizza that their eaten

## You are selling pizzas to raise money for a school

**Ask: ** You are selling pizzas to raise money for a school field trip. Cheese pizza cost $8 and pepperoni pizza cost $9. You need to sell at least two of each kind of pizza and you want to sell at least $180 worth of pizza. Write and graph a system of inequalities that represents all the possible solutions

**Answer:**

sell pizzas for a month or two

**Step-by-step explanation:**

## At you birthday party, you had 7 8-slices pizzas, 41

**Ask: **At you birthday party, you had 7 8-slices pizzas, 41 slices were eaten. What fraction of pizza is left?

**Answer:**

15/56

**Step-by-step explanation:**

If we had 7 pieces of 8 – slice pizzas, that would mean there is a total of 7 * 8 or 56 slices.

**Fraction of Pizza Left = (Total – Eaten) / Total**

Substitute the given,

Fraction Left = (56 – 41) / 56

Fraction Left = 15/56

**Therefore, 15/56 of pizza is left.**

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## If 7.5% of pizza orders in Gotham are for Hawaiian

**Ask: **If 7.5% of pizza orders in Gotham are for Hawaiian pizzas, and you know that there are 100 pizza restaurants in Gotham, what can you determine about the number of Gotham restaurants that have Hawaiian pizzas on their menus?

Cannot be determined. Note that the given percentage, that is, 7.5% refers to the pizza orders, and that the given number of pizza restaurants in Gotham which is 100. These data is not sufficient to solve for the exact number of Gotham restaurants that have Hawaiian pizzas on their menus. Since the answer could be all the 100 restaurants can offer Hawaiian pizza and the 7.5% of pizza could come from these *100* restaurants in different amounts; it could also be that the 7.5% of the pizza orders comes from only *one* restaurant that offers the best Hawaiian pizza in Gotham; and it might also be that the 7.5% orders comes from only best 3 of the restaurants that offer Hawaiian pizza in their menus.

## You walk past pizza hut and salivate in response to

**Ask: **You walk past pizza hut and salivate in response to the aroma of freshly baked pizzas. what is this the result of?

you got yourself a pizza? because you’re hungry?

## Celia and her cousins ate 2 ¾ of hawaiian pizza,

**Ask: **Celia and her cousins ate 2 ¾ of hawaiian pizza, ⅞ of a vegetable pizza,and ½ of a pepperoni pizza. How much pizza did they eat in all

**Answer:**

2 and 14/18 not sure ako po but you can use fractions

Not only you can get the answer of **is pizza that bad for you**, you could also find the answers of If 7.5% of, Celia and her, You are selling, Celia and her, and At Enzo's pizza.