How many ways are there to choose five doughnuts if there are eight varieties (and only the type of each doughnut matters)?

Answers

Answer 1

Answer:

There are 56 ways to choose 5 from 8 varieties.

Step-by-step explanation:

a) Choosing 5 out of 8

This is a combination problem, given by the formula below:

C(n,r)=?

 

C(n,r)=C(8,5)

=8!/(5!(8−5)!)

= 56

b) A combination is the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed. The result of this combination of 5 out of 8 varieties shows that there 56 ways one can choose.  The formula is given by 8 factorial divided by (5 factorial by 3 factorial).


Related Questions

In △LUV, UV¯¯¯¯¯¯¯¯=UL¯¯¯¯¯¯¯ and the measure of ∠U=42.6°. The measure of ∠L=(3x+y)°and the measure of ∠V=(4x−3y−0.8)°. Find the value of x.


21.2

18.8


40.4


32.1

Answers

Answer:

x = 34.06

Step-by-step explanation:

The sum of angles in the triangle LUV is 180 degrees

Given

∠L=(3x+y)°

∠U=42.6°

∠V=(4x−3y−0.8)°

Since ∠L+∠U + ∠V = 180 degrees

Substitute:

3x+y + 42.6 + 4x - 3y - 0.8 = 180

7x - 2y - 41.8 = 180

7x - 2y = 221.8 ... 1

Since UV = UL, hence the triangle is isosceles and <V = <L

3x+y = 4x-3y - 0.8

-x +4y = -0.8

x  - 4y = 0.8 ....2

From 2: x = 0.8+4y

Substitute into 1:

7x - 2y = 221.8

7(0.8+4y) - 2y = 221.8

5.6 + 28y-2y = 221.8

26y = 221.8-5.6

26y = 216.2

y = 8.32

Get x

x = 0.8+4y

x = 0.8+4(8.32)

x = 0.8 + 33.26

x = 34.06

Note that it was assumed that <V = <l since the question is not clear

evaluate 4+8 divide by 2 x(6-3)

Answers

Answer:

2

Step-by-step explanation:

= 4+8/2×(6-3)

= 12/2×6-2×3

= 12/12-6

= 12/6

= 2

x + 3 = -x - 5 Solve

Answers

Answer:

x = -4

Step-by-step explanation:

x + 3 = -x - 5

subtract 3 from each side

x = -x - 8

add x to each side

2x = -8

divide 2 on each side

x = -4

Since last week, the change in value of Nicki’s favorite comic book was −$24. Which statement BEST describes the meaning of this change in value? The comic book is now worth $24.

Answers

Answer:

that the priced dropped 24 dollars or decreased

445.76×9.634 is approximately equal to

Answers

Answer:

Step-by-step explanation:

It sounds like you are asked to estimate it. That's a very valuable skill.

9.634 is about 10

445.76 is about 446

So an approximate answer is 446 * 10 = 4460

How close is that to the actual answer? Let's find out.4294.45

On a test, if you get an answer like 4460 in your head, and your calculator says 4294.45, you are pretty certain that you have done the question correctly.

Time is 5.3 hours in rate is 35.0 mph what is the distance

Answers

Answer:

185.5 miles

Step-by-step explanation:

Use the formula d=rt

distance = rate x time

d = 35(5.03)

d = 185.5 miles

Answer:

185.5

Step-by-step explanation:

Natalia paid $38.95 for three medium-sized pizzas and a salad. If Natalia paid $11.98 for the salad, how much did each pizza cost?

Answers

-3.2512520868113524
Step by step equation :
-3.251
If the total of 3 pizzas and a salad is $38.95 and the salad costed $11.98 and we want to get to the cost of 1 pizza then we need to subtract $11.98 out of the total, so $38.95-$11.98 which is equal to $26.97. Natalia bought 3 pizzas in total, so if we divide it by 3 then we should get the cost of 1 pizza. So, $26.97/3 and the answer to that should be $8.99 and that means that each pizza should cost $8.99.

Which is the best estimate for the percent equivalent of
7/15?
0 21%
022%
O 46%
O 47%

Answers

I think too is 22

I hope it is

What is the formula for slope?

Will give brainliest for first correct.

Answers

Answer:

To solve the problems in this lesson, students use the slope formula, which states that m = (y2 -- y1) / (x2 -- x1). The slope formula can be read as "slope equals the second y coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate".

Hope helps

The formula for slope is rise over run!

Have a great day!

Which of the following equations is equivalent to 4 x + 6 = 1 ?

Answers

Answer:

x=-5/4

Step-by-step explanation:

4x+6=1

4x=1-6

4x=-5

x=-5/4

I GIVE BRAINLILSTTTT

Answers

Answer:

The answer is H please brainleist :) have a good day!

Step-by-step explanation:

What is the volume of the rectangular prism?

Answers

Answer:

V=whl

Step-by-step explanation:

Answer:63yd

Step-by-step explanation:

You have to count the first row of blocks which is 7 then side blocks which is 3

3x7 is 21

Then how many are in the top row going down which is 21x3 =63

Make x the subject of the formula w − y x = z

Answers

Answer:

hmm ..

just transfer the X at the right side and others on left side

Step-by-step explanation:

so you get

w-z = yx

so later

(w-z)/y = x

The required value of x for the equation w - yx = z  is (w - z)/y.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

w - yx = z

Solve to determine the value of x,

Subtract w from both the sides,

w - yx - w = z - w

-yx = z - w

Multiply with -1 both the sides,

yx = w - z

⇒x = (w - z)/y

The value of x for the given equation is (w - z)/y.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ2

choose 3 values for x that would make this inequality true x-4<20​

Answers

Answer:

5

10

15

Step-by-step explanation:

5 - 4 < 20

1 < 20 which is true

10 - 4 < 20

6 < 20 which is true

15 - 4 < 20

11 < 20 which is true

Hope it helped

Which is an irrational number between -9 and -10?

Answers

Answer:

maybe -9.1666 top second one?

Answer:

-sqrt85

Step-by-step explanation:

An irrational number is a number that cannot be written as fraction a/b where and b are integers

sqrt85 is simplified, and cannot be written as a/b with integers a and b, therefore -sqrt85 is irrational.

Similar triangles ABC and DEF are shown on the coordinate plane line t passes through points B, E, F, and C

Answers

Slope of BC = AB/AC, and Slope of EF = DE/DF

BC and EF both lie on the same line t, therefore the slope of BC equals the slope of EF.

What are Similar Triangles?

Similar triangles are two triangles having the same shape but different sizes, however, the ratio of their corresponding sides are equal.

How to Find the Slope of a LineSlope = change in y / change in xSlope between any two points on the same line are the same.

Given:

ΔABC ~ ΔDEF

Slope of BC = AB/AC

Slope of EF = DE/DF

BC and EF both lie on the same line t, therefore the slope of BC equals the slope of EF.

Learn more about similar triangles on:

https://brainly.com/question/2644832

Convert 14 pounds to ounces in standard algorithm​

Answers

Answer:

244

Step-by-step explanation:

14 x 12 = 244

14 lb 224 oz

hope it helped i just looked it up and this is what i got

Convert each part of the ratio 2:3 to percentage​

Answers

66.66666666........%

Which of the following statements are NOT true?

Answers

It’s the third option

Answer:

3.the slope of AB is different than the slope of BC

Step-by-step explanation:

It's not true because both of the slopes of the lines are equal which is 2/3

In the figure below, ma = 7x + 5 and mb = 28x. The angles are
supplementary
Find the ma
b
a
40 degrees
140 degrees
35 degrees
5 degrees

Answers

Step-by-step explanation:

Since the 2 angles are supplementary,

(7x + 5°) + 28x = 180°.

=> 35x + 5° = 180°

=> 35x = 175°

=> x = 5°.

Hence Angle A = 7(5°) + 5° = 40°.

I think 40 degrees ....

please help me solve this

Answers

Step-by-step explanation:

so...the answer is( 6,-2)

lindsey made 400 tarts. she sold 3/5 of them in morning and 1/4 of the remainder in the afternoon. how many tarts did she sell in the afternoon?

Answers

Answer:

40 tarts

Step-by-step explanation:

Lindsey had 400 tarts to start with, then she sold off 3/5 of them. Hence find the number of tarts left (2/5 of the original amount). Then she sold 1/4 of the remaining tarts. Therefore, find 1/4 or 2/5 of 400. The equation would be;

[tex](\frac{1}{4})(\frac{2}{5})(400)[/tex]

Now one just has to solve the equation;

[tex]\frac{1}{10}(400)[/tex]

40

She sold 60 tarts in the after noon.

Question
Express the inequality -2 8 using interval notation.
Provide your answer below:
B FEEDBACK
MORE INSTRUCTIO
Content attribution

Answers

Answer:

(-2, 8)

Step-by-step explanation:

To express any given inequality, note the following:

✔️< or > means the end value or the beginning value referred to is not included.

✔️ ≤ or ≥ indicates that the end of beginning value is included.

✔️ "( )" when used in writing an inequality in interval notation means an end or beginning value is not included.

✔️. "[ ]" means the end or beginning value is included.

Now let's express -2 < x < 8 using interval notation.

✅The beginning value is -2, which is < x. This means -2 is not included. Therefore, we would start our interval notation by stating this as: "(-2"

✅The end value is 8. x < 8. The "<" sign means 8 is not included. Thus, this statement would be expressed in interval notation as "8)"

✔️Combining both together, the inequality is experessed in interval notation as (-2, 8)

what is the triangles congruence theorem could you use to prove the triangle ADE is congruent to Triangle CDE



A) side angle side triangle congruence
B) angle side angle triangle congruence
C) side side side triangle congruence
D) side side angle triangle congruences ​

Answers

Answer:

I belive its A

Step-by-step explanation:

because it cant be b c nor d

Answer:

B

Step-by-step explanation:

A and C are congruent and so is AE and CE and E has congruent angles AKA angle side angle

he incomplete table above summarizes the number of left-handed students and right-handed students by gender for the eighth grade students at Keisel Middle School. There are 5 times as many right-handed female students as there are left-handed female students, and there are 9 times as many right-handed male students as there are left-handed male students. if there is a total of 18 left-handed students and 122 right-handed students in the school, which of the following is closest to the probability that a right-handed student selected at random is female? (Note: Assume that none of the eighth-grade students are both right-handed and left-handed.)

A) 0.410
B) 0.357
C) 0.333
D) 0.250

Answers

Answer: A

Step-by-step explanation:

When you solve this system of equations, you get x=10 and y=8. Thus, 5*10, or 50, of the 122 right-handed students are female. . The data in the table above were ... The incomplete table above summarizes the number of left-handed students ... students by gender for the eighth-grade students at Keisel Middle School. There are 5 times as many right-handed female students as there are left-handed female ...

Answer:*stalks* thank u fo the free points daddy pig AY MAMI TURN AROUND lol i needa stop *T POSE* I AM THE T POSE  BIS

Step-by-step explanation:

Find the volume, in cubic feet, of the composite solid below, which consists of a pyramid sitting on top of a cube. The pyramid has the same base as the cube.

Answers

Answer:

2,112 ft³

Step-by-step explanation:

Volume of composite solid = volume of pyramid + volume of cube

✔️Volume of square pyramid = ⅓(a²)*h

Where,

a = 12 ft

h = 8 ft

Plug in the values

Volume of pyramid = ⅓(12²)*8 = 384 ft³

✔️Volume of cube = a³

Where,

a = 12 ft

Plug in the value

Volume of cube = 1728 ft³

✔️Volume of composite solid = 384 + 1728 = 2,112 ft³

where is the point ( 0,-4) located on the coordinate plane

A. on the y-axis

B. in Quadrant 3

c. on the x-axis

d. in quadrant 4

Answers

Answer:

A

Step-by-step explanation:

If you plot the point on a cartesian plane you see it is on the y axis

Answer:

D

Step-by-step explanation:

A = (-7,-2) and B = [-3,-2)
A u B =

Answers

Answer:

Step-by-step explanation:

https://web.gccaz.edu/~johwd63181/MAT142/chapter_1/solutions/section%201.4%20solutions.pdf

In the decimal number 8.057 how

many hundredths are there? How many ones?

How many tenths? How many thousandths?

Answers

Answer:

8 ones

0 tenths

5 hundredths

7 thousandths

Step-by-step explanation:

hope this helps plz give brainliest!!

Solve the problem by entering and solving the equation.
Jenny earned 100 of a possible 132 points on a test. She lost 4 points for each incorrect answer. How many
incorrect answers did she have?


What’s the equation? Pls help

Look at the picture above to see the question

Answers

Answer:

132-4x=100 there are 8 incorrects

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