How many different 3 topping pizzas can be made if 10 different toppings are available?

Answers

Answer 1
Assuming you can’t use the same topping twice,
10 x 9 x 8 = 720
Answer 2

9514 1404 393

Answer:

  120

Step-by-step explanation:

We assume the order of the toppings does not matter. Then the number of interest is the number of combinations of 10 toppings taken 3 at a time. That is given by ...

  10C3 = C(10, 3) = 10!/(3!(10 -3)!) = 10·9·8/(3·2·1) = 120

120 different 3-topping pizzas can be made if 10 toppings are available.

_____

Additional comment

If order matters, then 10 choices can be made for the first topping, 9 for the second, and 8 for the third, for a total of 10×9×8 = 720 different pizzas.


Related Questions

Samantha had a board that was 6 ft. 8 in. long. She cut off a piece that was 2 ft. 10 in. long. How much board does she have left?

Answers

Answer:

she would have 3ft. 10 inches of board

Step-by-step explanation:

Answer:

3ft and 10inches

Step-by-step explanation:

so 6ft 8 in minus 10in is 5ft 10 in

then 5ft minus 2ft is 2ft the rest is a piece of cake

Tutori
A decade ago, the average class size at Belmont Middle School was 30 students. Now it is
40% larger. What is the average class size currently?
PLS HELP

Answers

Answer:

42 students

Step-by-step explanation:

Initial class size = 30 students

Class size now is 40% larger:

30 + 40% = 30 + 30*40/100 = 30 + 12 = 42

First let's find larged amount

[tex]\\ \sf\longmapsto 40\%\:of\:30[/tex]

[tex]\\ \sf\longmapsto 0.4(30)[/tex]

[tex]\\ \sf\longmapsto 12[/tex]

Class size=30+12=42students

What is the equation in slope-intercept form of the line that passes through the points (-4, 6) and (-2,5) ?
y=20 - 8
y=-30+4
y=-22 +4
y = -x + 8

Answers

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-4)}}}\implies \cfrac{-1}{-2+4}\implies \cfrac{-1}{2}\implies -\cfrac{1}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{-\cfrac{1}{2}}[x-\stackrel{x_1}{(-4)}] \\\\\\ y-6=-\cfrac{1}{2}(x+4)\implies y-6=-\cfrac{1}{2}x-2\implies \underset{\textit{slope-intercept form}}{y=-\cfrac{1}{2}x+4}[/tex]

Which equation would you use to solve the following situation?

There are 6 cookies in the cookie jar. Sean bakes some more and now there are 15 cookies in the jar. How many cookies did Sean bake?

6 + x = 15.
x - 6 = 15.
15 + 6 = x.
6 - x = 15.

Answers

the answer is A hope this helps!

Answer:

6+x=15 (x=9)

Step-by-step explanation:

6 cookies + the newly baked ones = 15 cookies

we know there was 6 cookies and we knew that the result is 15, which means that we "don't know" how many cookies are baked. So the answer is 6+x=15

A group of preschoolers has 63 boys and 27 girls. What is the ratio of boys to all children (lowest form)?

Answers

Answer:

7 boys to 10 all children

63:90= 7:10

Reasoning:
add up the total amount of preschoolers which is 90, and the amount of boys in the group of children which is 63. so it would be 63:90. 9 goes into both numbers. (63 divided by 9= 7. 90 divided by 9 is 10.) so the answer would be 7:10 in simplified form.


HELLOPPPPPPPPPPPPPPPP

Answers

Answer:

Hello!

Judging by the link you provided I have come up with the correct solution:

x= 61°

y= 29°

Step-by-step explanation:

I will link my work below:

The first step to finding the two solutions it to first identify one of them.

I chose to identify x first.

To identify the value of x in this problem you have to notice that the x value corresponds with the value "29°" to form a perfect right angle, being 90°.

Thus you can simply find the value of x by doing this formula:

x+29°=90°

You then subtract 29° from both sides to simplify, and you come up with the solution

x=61°

Now we need to find the value of y.

To find the value of y I noticed that again, like x, y corresponds with another variable (being x) to form a perfect right angle (90°).

The way I realized this is a perfect right angle is because, as you can see in the picture you provided, the y+x angle are alternate exterior angles with another angle that is 90°.

Thus you can assume that:

x+y=90°

x= 61°

61°+y=90°

You then subtract 61° from both sides to get:

y=29°

A teacher selects 4 students from her class of 37 to work together on a project. How many ways are there for her to select the students

Answers

Answer:

The correct answer is 66,045

Can someone please me help

Answers

Answer:

Step-by-step explanation:

the answer is 1.1324

A rectangular field is 350 meters long and 200 meters wide. What is the area of the field in square kilometers? Do not round your answer. Be sure to include
the correct unit in your answer.
0
km
km2
km

Answers

The area of the rectangular field is 0.07 square kilometers (km²).To find the area of the rectangular field in square kilometers, we need to convert the given dimensions from meters to kilometers.

To find the area of the rectangular field in square kilometers, we need to convert the given dimensions from meters to kilometers and then calculate the area.

Given:

Length of the field = 350 meters

Width of the field = 200 meters

To convert from meters to kilometers, we divide the measurements by 1000, since there are 1000 meters in a kilometer.

Length in kilometers = 350 meters / 1000 = 0.35 kilometers

Width in kilometers = 200 meters / 1000 = 0.2 kilometers

Now that we have the dimensions of the field in kilometers, we can calculate the area.

Area of the field = Length in kilometers * Width in kilometers

Area of the field = 0.35 kilometers * 0.2 kilometers

Multiplying the values, we get:

Area of the field = 0.07 square kilometers

Therefore, the area of the rectangular field is 0.07 square kilometers.

It's important to include the correct unit in the answer, which is "square kilometers" (km²). This represents the unit for measuring the two-dimensional area. In this case, the area of the field is 0.07 km².

For more such questions on area

https://brainly.com/question/25292087

#SPJ8

∠a = 85°, what does ∠b equal?

Answers

Answer:

∠b = 95°

Step-by-step explanation:

Assuming these angles are Supplementary, it would look something like this:

                                       /

                          ∠b      /    ∠a

  _______________/__________________

If this is true, and ∠a = 85°, then this means that ∠b must equal 95° because being supplementary angles means all angles add to 180°, so 180 - 85 = 95

Answer:

90° − 85° = 5°

A car is traveling down a highway at a constant speed, described by the equation d=65t , where d represents the distance, in miles, that the car travels at this speed in t hours.

Complete the statement about the meaning of 65 in this situation.


The car travels_________ miles in ________ hour.

Answers

Step-by-step explanation:

10 1

20 miles car travel 65t hb

Round off the decimal 55.345 to 2 decimal places.​

Answers

Answer:

Step-by-step explanation:

55.345 is rounded off two places therefore, the hundreths place

the number next to 4 is 5 in the thousandths place. 5 is high and therefore 4 is changed to 5 and makes it 53.35

Solve the given problem using Venn Diagram. Show your solution

A group of 50 students went on a tour in Palawan province Out of 50 students, 24 joined the trip to Coron; 18 went to Tubbataha Reef, 20 visited El Nido: 12 made a trip to Coron and Tubbataha Reef 15 saw the Tubbataha Reef and El Nido, 11 made a trip to Coron and El Nido: 10 saw the three tourist spots.

1. How many students went to Coron only?
2. How many students went to Tubbataha Reef only?
3. How many joined the El Nido trip only? 4. How many did not go to any of the tourist spot?

(Please kindly help me. I have answered this problem, but it seems not to be correct.)​

Answers

[tex] \red{ \rule{40pt}{555555pt}}[/tex]

What is the length of CD, given that figure ABCD is a rectangle?
B
13
С
10
A
D
O A. 26
O B. 10
O C. 13
O D. 20

Answers

Answer:

It'll be B.10

Step-by-step explanation:

Rectangles always have 2 side lower than the other2 . BC and AD are same length so they are both 13. BA and CB are the same length to It has to be 10.

Hope this helps :)

The answer would be B. 10

help pls home work home qork​

Answers

Answer:

the answer is this sign >. it means the answer on the left is greater than the one on the right

A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type are driven for 1000 miles on each of 18 different cars. In a separate experiment, 18 cars were outfitted with tires with tread type A, and another 18 were outfitted with tires with tread type B. Each car was driven 1000 miles. The cars with tread type A averaged 23.95 mpg, with a standard deviation of 1.79 mpg. The cars with tread type B averaged 22.19 mpg, with a standard deviation of 1.95 mpg. Let μX represent the population mean mileage for tread type A and let μY represent the population mean mileage for tread type B.


Required:

Find a 99% confidence interval for the difference μXâμY. Round the answers to three decimal places.

Answers

Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).

We are given the standard deviation for the samples, hence, the t-distribution is used to solve this question.

The standard errors are given by:

[tex]s_A = \frac{1.79}{\sqrt{18}} = 0.4219[/tex]

[tex]s_B = \frac{1.95}{\sqrt{18}} = 0.4596[/tex]

For the distribution of differences, the mean and the standard error are given by:

[tex]\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76[/tex]

[tex]s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239[/tex]

The interval is given by:

[tex]\overline{x} \pm ts[/tex]

The critical value for a two-tailed 99% confidence interval with 18 + 18 - 2 = 34 df is t = 2.7284.

Then:

[tex]\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058[/tex]

[tex]\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462[/tex]

The 99% confidence interval for the difference is (0.058, 3.462).

For more on the t-distribution, you can check https://brainly.com/question/16162795

A bakery sells 1/2 dozen cookies for $6.48. At this rate, how much would it cost for 3 dozen cookies?​

Answers

It would cost $38.88 for three dozen cookies
$38.88 is definitely the answer facts I had that problem too myself

5x + 3y = 4; solve for x.

Answers

Answer:

x= - 3/5y +4/5

Step-by-step explanation:

isolate x:

5x+ 3y= 4

5x= -3y+ 4

x= -3/5y +4/5

6 Cyclist A travels 55 km in 2 hours and 20 minutes.
Cyclist B travels 135 km in 5 hours and 36 minutes.
Which cyclist is travelling faster?

Answers

cyclist a speed is d = v × t

so you can find velocity of a and b.

then compare them both.

What is 10 plus 5 to the 3 power minus 1? Order of operation

Answers

3374 is the answer.


Hope this helped!! :)

Step-by-step explanation:

(10+5)³-1 = 3375-1 = 3374.

a fingernail grows about 0.1 millimeter eachday how much does a fingernail grow in 90 days

Answers

Answer:

9 mm

Step-by-step explanation:

90*0.1=9

pretty sure it’s .9 mm

For a project in her Geometry class, Kylie uses a mirror on the ground to measure the
height of her school's flagpole. She walks a distance of 14.25 meters from the flagpole,
then places a mirror on flat on the ground, marked with an X at the center. She then
steps 1.35 meters to the other side of the mirror, until she can see the top of the
flagpole clearly marked in the X. Her partner measures the distance from her eyes to
the ground to be 1.25 meters. How tall is the flagpole? Round your answer to the
nearest hundredth of a meter.

Answers

The project in her Geometric class is an illustration of equivalent ratios

The approximated height of the flagpole is 13.19 meters

The given parameters are:

Distance from flagpole (D) = 14.25

Distance to the other side of the mirror (d) = 1.35

Kylie's height (h) = 1.25

To calculate the height (H) of the flagpole, we make use of the following equivalent ratios

[tex]\mathbf{D :d = H :h}[/tex]

Substitute known values

[tex]\mathbf{14.25 :1.35 = H :1.25}[/tex]

Express as fraction

[tex]\mathbf{\frac{14.25 }{1.35 }= \frac{H }{1.25}}[/tex]

Multiply both sides by 1.25

[tex]\mathbf{H = 1.25 \times \frac{14.25 }{1.35 }}[/tex]

Multiply

[tex]\mathbf{H = 13.19 }[/tex]

Hence, the approximated height of the flagpole is 13.19 meters

Read more about equivalent ratios at:

https://brainly.com/question/18441891

Help help hep helphelp help

Answers

Answer:

32 qt = 8 gal

Step-by-step explanation:

1 qt x 32 = 1/4 gal x 32

32 qt = 32/4 gal

32 qt = 8 gal

(1/2)power 5=?? please help

Answers

[tex] \frac{1}{2} \: to \: the \: power \: of \: 5 \: is \: \frac{1}{32} or \: 0.03125 [/tex]

Answer:

[tex] \ {\boxed{ \tt ( \frac{1}{2}) ^{5} = \frac{1}{32} }}[/tex]

Step-by-step explanation:

[tex] \\ \tt( \frac{1}{2} )^{5} [/tex]

[tex] \\ \tt= \frac{ {1}^{5} }{ {2}^{5} } [/tex]

[tex] \\ \tt = \frac{1 \times 1 \times 1 \times 1 \times 1}{2 \times 2 \times 2 \times 2 \times 2} [/tex]

[tex] \\ \tt = \frac{1}{32} [/tex]

A car drove 55 miles per hour for 8.2 hours and 75 miles per hour for 3.6 hours. How far did the car drive?

Answers

Answer:

Step-by-step explanation:

So at 38mph you are roughly traveling .6333 miles a minute. So 13 miles would take you roughly 8.2 minutes. How does one figure out this?

We know that there are 60minutes in an hour. We know you’re driving 38miles per hour. Dividing 38 by 60 gives you the miles per minute. Multiple that by how many miles you’re driving to get an estimate of the minutes it takes to drive those miles.

given the sequence tn defined recursively below, find t4.

Answers

Answer:

[tex]t_4 = 20[/tex]

Step-by-step explanation:

The base case in the recursive function are:

[tex]t_1 = 1[/tex]

[tex]t_2 = 2[/tex]

The recursive case is equal to:

[tex]t_n = 2t_{n-1} + 3t_{n-2}[/tex]

So replace [tex]t_n[/tex] for [tex]t_4[/tex]:

[tex]t_4 = 2t_{3} + 3t_{2}[/tex]

In the new expression [tex]t_2[/tex] is a base case so you don't have to worry for that part, but [tex]t_3[/tex] is still the recursive case so evaluate again in [tex]t_n[/tex]

[tex]t_3 = 2t_{2} + 3t_{1}[/tex]

[tex]t_2[/tex] and [tex]t_1\\[/tex] are define as base cases so you replace for it's numbers:

[tex]t_3 = 2(2) + 3(1) = 7[/tex]

Now return to [tex]t_4[/tex] and replace for the new values:

[tex]t_4 = 2(7) + 3(2) = 14 + 6 = 20[/tex]

So the final answer is 20

100 POINTS If x and y are real numbers, what is the simplified radical form of [tex](x^{2} y^{5} )^{\frac{1}{5} }[/tex]

Answers

Answer: [tex]x^{2/5}[/tex][tex]y[/tex]

Step-by-step explanation:

([tex]x^{2}[/tex][tex]y^{5}[/tex])^[tex]^{1/5}[/tex]

= [tex]x^{2/5}[/tex][tex]y[/tex]

the answer will be: (x^2/5) y
(x to the power of 2/5, times y)

What is -1.2 -29/20 =

Answers

Answer:

-2.65

Step-by-step explanation:

What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that apply. In addition to the Privileges and Immunities Clause, Article IV, Section 2 includes the

Answers

Hello!

-----------------------------------------------------------------------------------------------------------------

2x+5y=10

We want to turn this equation into y=mx+b form:

5y=-2x+10

Divide both sides by 5:

y=-2/5x+2

Now, the equation of the line parallel to it:

Remember, parallel lines have the same slope.

So these two lines have the same slope (-2/5)

Now, use Point-Slope form:

y-y1=m(x-x1)

y=1=-2/5(x-(-5)

y-1=-2/5(x+5)

y-1=-2/5x-2

y=-2/5x-2+1

y=-2/5-1

Hence, this is the required solution. I hope you find it helpful!

~SparklingFlower

--------------------------------------------------------------------------------------------------------------

Which lines are parallel? Why?
A) No lines are parallel
B) a || b by the same side interior angles
C) c || d by the same side interior angles
D) c || d by the converse of the same side interior angles
E) a || b by the converse of the same side interior angles

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The correct Choice is ~ D

a || b by the converse of the same side interior angles

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