In a pizza restaurant, you can get a basic pizza with two toppings, cheese and tomato. You can also make up your own pizza with extra toppings. You ca choose from four different extra toppings: olives, ham, mushrooms, and salami. Ross wants to order a pizza with different extra toppings. How many different combinations can Ross choose from?

Answers

Answer 1

Answer: 9 different combinations (including ham +mushrooms + salami + olives)

Step-by-step explanation:

olives + ham + mushroom

olives + ham + salami

olives+ ham

olives+ salami

olives + mushrooms

ham +mushrooms

ham+ salami

salami + mushroom

Answer 2

You can use combinations to get to the total count of toppings you can make. Ross can make total of 15 different extra topping pizzas.

How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?

This can be done in total of [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.

For this case, since there are 4 types of extra toppings available and Ross can take any number of toppings.

If he chooses to get only 1 topping, then total [tex]^4C_1 = 4[/tex] ways of getting such pizzas.If he chooses to get 2 different toppings, then total [tex]^4C_2 = \dfrac{4 \times 3}{2 \times 1} = 6[/tex] ways.If he chooses to get 3 different toppings, then total [tex]^4C_3 = \dfrac{4 \times 3 \times 2}{3 \times 2 \times 1} = 4[/tex] ways.If he chooses to get 4 different toppings, then total [tex]^4C_4 = \dfrac{4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1} = 1[/tex]  way.

Thus, in total there are 4+6+4+1 = 15 ways of getting pizzas with different extra toppings.

Thus, Ross can make total of 15 different extra topping pizzas.

Learn more about combinations here:

https://brainly.com/question/11958814


Related Questions

Here are the lowest temperatures recorded in the last 2 centuries for two US cities. How many more degrees colder is the record temperature for GA than FL?

Answers

Answer:

What are the temperatures

Let A and B be two logically equivalent compound propositions. Then

Answers

Answer:

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what is the domain of the function​

Answers

Answer:

The domain is 0≤x<∞

Step-by-step explanation:

The domain is the values that the input can take.

The square root cannot be less than zero

sqrt(x) ≥ 0

That means x ≥0

The domain is 0≤x<∞

1. Carmi gets a starting salary of 13,000.00 a month and an increase of 500.00 annually. What will
be her salary during the fifth year?
Solutions​

Answers

Answer:

15,500

Step-by-step explanation:

An equation that can represent this is 13000+500t, with "t" being the number of years

Place the numbers in order from least to greatest.
7.9
7.81
7.806
7.8
7.618

Answers

Answer:

7.618

7.8

7.806

7.81

7.9

Step-by-step explanation:

The decimal numbers in the order from from least to greatest as → 7.618 < 7.8 < 7.806 < 7.81 < 7.9.

What are decimal numbers?

A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers.

Given are the decimal numbers as -

7.9, 7.81, 7.806, 7.8, 7.618

We can arrange the numbers in order from least to greatest as -

7.618 < 7.8 < 7.806 < 7.81 < 7.9

Therefore, the decimal numbers in the order from from least to greatest as → 7.618 < 7.8 < 7.806 < 7.81 < 7.9.

To solve more questions on numbers arrangement, visit the link below -

https://brainly.com/question/9648071

#SPJ2

Dk Metcalf is my son​

Answers

Answer:

Dad, is that you?

Step-by-step explanation:

that’s... interesting lol

Which equation shows that 30 is 6 times as many as 5?

Answers

Answer:

30 divided by 5

Step-by-step explanation:

ANSWER

30=5x

X=6

Explaination....

A triangle has side lengths of 25in, 30in, and 50 in. Classify it as acute, obtuse, or right. Please help me.

Answers

9514 1404 393

Answer:

  obtuse

Step-by-step explanation:

Using the idea of a "form factor", we find ...

  f = a² + b² - c²

  f = 25² +30² -50² = 625 +900 -2500 = -975

The form factor is negative, so the triangle is obtuse.

_____

Additional comment

The form factor, as defined above, classifies the triangle according to its sign:

  f > 0 . . . acute

  f = 0 . . . right

  f < 0 . . . obtuse

The largest angle in the triangle can be found from ...

  cos(C) = f/(2ab)

Here, it is C = arccos(-975/1500) ≈ 130.5416°

63 students went on to the zoo. S vans were filled with equal numbers of students and 3 students rode in a car. How many students were in each van?

Answers

Answer:

no of students 63

the answer is...

21

Pythagorean Theorem
a = ? b = 7 c = 13

Answers

Answer:

a = 10.95

Step-by-step explanation:

Pythagorean Theorem formula:

a² + b² = c²

a² + 7² = 13²

a² + 49 = 169

a² = 120

[tex]\sqrt{a^2} =\sqrt{120}[/tex]

a = 10.95

Nicole is solving the equation and realizes there's a mistake.
A) Determine the mistake
B) Determine the correct answer.
- 2x -4>8
-2x - 4+4>8+4
-2x >12
- 2x/2 > 12 /2
x>-6

Answers

Answer:

She forgot to multiply both sides by -1 and reverse the inequality. She also didn't flip the signs.

Step-by-step explanation:

- 2x -4>8

-2x - 4+4>8+4

-2x >12

(-2x)(-1)<12(-1)

2x<-12

2x/2<-12/2

x<-6

Hope this helped!!!

Explain how to tell 202/220 is not in simplest form

Answers

Answer:

An easy way to tell with a number like this is that both numbers are round, so they can both be divided by 2

Step-by-step explanation:

You can tell that it is not simplified if they are both even, as they can be divided by 2, or really, if both numbers have a common factor as a divisor.

For example, 3/6 has a common of factor by 3, 3/3 / 3/6 = 1/2.

A school secretary plans to order 510 sandwiches for a school picnic. He asks 85 randomly selected students which type of sandwich is their favorite. Based on the data from the sample, how many of each type of sandwich should the secretary order? Show your work.



Sandwich type quantity
penutbutter 37
Ham 18
egg salad 5
Turkey 25

Answers

Answer:

85 will be the answer

Step-by-step explanation:

please mark as braillenest

Answer:

Step-by-step explanation:

510/85 = 6

Sandwich type quantity

penutbutter 37 X 6 = 222

Ham 18 X 6 = 108

egg salad 5 X 6 = 30

Turkey 25 X 6 = 150

222 + 180 + 30 + 150 = 510

A trip to the Rocky Mountains of Colorado from Denver will take 1 3/4 hours. Assuming we are 1/3 of the way there, how much longer in hours will the trip take?

Answers

9514 1404 393

Answer:

  1 1/6 hours

Step-by-step explanation:

Assuming distance and time are proportional, 2/3 of the 1 3/4 hours remain:

  (2/3)(7/4) = 14/12 = 1 1/6 . . . . hours remain

The trip will take 1 1/6 hours longer.

Answer:

the answer is 1 1/6 hours

Step-by-step explanation:

:)

Where would the last point need to be in order to finish graphing a square using the points ( 1, 3) 5,3 and 5,7?
A. (3, 7
B. 1, 5
C 1, 7
D. 5, 1

Answers

Answer:

C

Step-by-step explanation:

The legs of a right triangle each measure 44 inches. Find the length of the hypotenuse.

Answers

Answer:

Length of hypotenuse = 44√2 in²

Step-by-step explanation:

Given:

Length of legs = 44 in

So,

Perpendicular = 44 in

Base = 44 in

Find:

Length of hypotenuse

Computation:

Hypotenuse = √Perpendicular² + Base²

Length of hypotenuse = √44² + 44²

Length of hypotenuse = 44√2 in²

14. A researcher wants to know if the average price of a home in Salt Lake City is higher than the average home in the entire United States. If you know that the average home price in Salt Lake City is $450,000 and the average home price in the entire country is $425,000, please conduct the appropriate test to see if Salt Lake City is more expensive under the following two conditions: (make sure to state which test you are using - they should be different, your null and alternative hypotheses, your a level, the critical score for that test, your statistical conclusion based on the observed statistic, and the meaning of your statistical conclusion in words) a. when you are given the actual standard error of the entire population of the country to be $30,000. (25 points) b. when you are given the estimated population standard deviation of homes in Los Angeles to be $30,000 for 360,000 homes (25 points)​

Answers

Answer:

25000

Step-by-step explanation:

bc the proof is solid

Pom
A line passes through point (5, -3) and is perpendicular to the equation y = x. What's
the equation of the line?

Answers

Am not sure but Y=-x+2

THEN FIND THE VALUE OF X​

Answers

Answer:

Supplementary

x = 31

Step-by-step explanation:

The given angles are supplementary which means their sum is equal to 180

3x + 25 + 2x = 180 add like terms

5x + 25 = 180 subtract 25 from both sides

5x = 155 divide both sides by 5

x = 31

can you help me find the value of each shape plz

Answers

Answer:

Star = 10Square = 4Circle = 1

Step-by-step explanation:

Hope it helps you!

Pls help me thanks so much

Answers

Answer:

I beileve its no

Step-by-step explanation:

Please help me with this

Answers

You can down this


Http/b263849

A Mustang GT on Missouri has a marked price of $60,000. If paid in cash you are to pay 15% less than the marked price. It also have a hire purchase plan which states to pay 30% of the marked price and $1000 monthly payments for 4 yrs.
A) Discount on Cash price.
B) Cash Price.
C) Amount Payable.
D ) Hire Purchase Price
E ) Difference between the Hire Purchase price and the Cash Price.

Answers

Answer:

A) Discount on Cash price. ($9,000 )

B) Cash Price. ($51,000 )

C) Amount Payable. ($51,000 )

D ) Hire Purchase Price ($66,000 )

E ) Difference between the Hire Purchase price and the Cash Price. ($15,000 )

Step-by-step explanation:

The following is the workings:

The GT Missouri marked price = $60,000

If paying cash,

Discount = 15%

(15/ 100 ) x $60,000 = $9,000

Actual Price (less discount) = $60,000 - $9000 = $51,000

If hire purchase,

Firstly, 30% marked price,

= (30/100) x $60,000 = $18,000

Monthly payment = $1000

Period = 4 years = 4 x 12 = 48 months

Total monthly payment,

$1000 x 48 = $48, 000

Therefore, total hire purchase payment

Monthly payment + initial 30% payment

= $18,000 + $48,000 = $66,000

Difference between hire purchase and cash price,

= $66,000 - $51,000 = $15,000

What is the measure, in degrees, of angle z?

I’m not going to show answer options because I don’t want someone to just put anything :)

I DO NEED HELP THOO !

Answers

117.8 because angle at a point add up to 360 so 360 -(90 + 38.2+31.7+82.3) =117.8

Please help me on this I beg you!

Answers

Answer:

c) 35

Step-by-step explanation:

The total number of beads is 40. If we take 7/8 of it it would be:

7/8*40=35 beads

Unit 10: Circles Homework 6: Arc & Angle Measures **Please Help**

Answers

Answer:

you can download the app Socratic and it will tell you

Step-by-step explanation:

I use that app for all my classes

The measure of angle x is 72 degrees

Tangent:

A tangent to a circle is a straight line which touches the circle at only one point.

The tangent TU and UV intersect at point U.

Therefore,

m∠x = 1 / 2 (arc VST - 108)

arc VST  = 360 - 108 = 252

m∠x  = 252 - 108 / 2

m∠x  = 144 / 2

m∠x  = 72°

learn more on tangent here; https://brainly.com/question/14022348

helppppp meeeeee the sum of the squares of three consecutive integer numbers is 1454. Find the numbers. but i found 21 22 and 23. you need to find the other set plzzz​

Answers

Step-by-step explanation:

A=x

B=x+1

C=x+2

[tex] {x}^{2} + {(x + 1)}^{2} + {(x + 2)}^{2} = 1454 \\ {x}^{2} + {x}^{2} + 2x + 1 + {x}^{2} + 4x + 4 = 1454 \\ 3{x}^{2} + 6x + 5 - 1454 = 0 \\ 3 {x}^{2} + 6x - 1449 = 0 \\ {x}^{2} + 2x - 483 = 0 [/tex]

I'm sorry but I can't use the calculator, I hope this helps you anyway.

Answer:

The two sets would be 21,22,23 and -21, -22, and -23

Step-by-step explanation:

This is because a negative number squared would be positive.

So -21^2+-22^2+-23^2 would equal the same as 21^2+22^2+23^2 which would be 1454.

Help!
Write a function, (), which has a maximum and a y-intercept of −3.

Answers

Answer:

a possible answer could be "f(x)= -x + 3"

Step-by-step explanation:

Preliminary data analyses indicate that you can consider the assumptions for using nonpooled​ t-procedures satisfied. Researchers obtained data on the number of acute postoperative days in the hospital using the dynamic and static systems. At the​ 10% significance​ level, do the data provide sufficient evidence to conclude that the mean number of acute postoperative days in the hospital is smaller with the dynamic system than with the static​ system?

Answers

Answer: hello some data is missing from your question attached below is the missing data

answer :

At 10% significance level ; critical value with the dynamic system = -1.3637

                                           critical value with the static system = - 1.4759

hence the data provided is sufficient evidence that mean number of acute postoperative days in the hospital is smaller with the dynamic system

Step-by-step explanation:

At 10% significance level ; critical value with the dynamic system = -1.3637

                                           critical value with the static system = - 1.4759

hence the data provided is sufficient evidence  

Given ∝ = 0.10

i) mean number of dynamic system = ( x1 ) = 7.08

s1 ( std of sample ) = 1.51

sample size = 12

df ( degree of freedom ) = n - 1 = 11

Hence critical value :  t∝,11 = -1.3637 ( = T.INV(0.1,11)

ii) mean number of static system

( x2 ) = 11.33

s2 ( std of static sample ) = 3.83

sample size = 6

df( degree of freedom ) = n -1 = 5

critical value = t∝,5 = -1.4759  ( = T.INV(0.1,5) )

Please help me! This is due tomorrow and I really need some help! Thank you.

Answers

Answer:

B. the mean is 59 inches

Step-by-step explanation:

if you add the number of inches together you get 413. 413 divided by 7 is 59. that is the mean.

Answer:

B: The mean wingspan is 59 inches.

Step-by-step explanation:

The mean is the average so when you add up all of the wingspans 53+59+59+60+60+61+61 you get 413, and to find the mean you would divide that by seven (413/7), because there are 7 students, which is 59.

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