a number has three distinct digits, the sum of the digits equals the products of the digits. how many three digit numbers satisfy this condition?

Answers

Answer 1

Only one three digits number 111 would satisfy this condition.

Let the three digits be x, y and z. Since the sum of the digits is equal to the product of the digits, we can write x + y + z = xyz

Simplifying the equation, we get x + y + z - xyz = 0

This is a quadratic equation in the form ax2 + bx + c = 0 where a = 1, b = 1 and c = -xyz

To solve this equation, we use the quadratic formula: x = [-b ± √(b2 - 4ac)]/2a

In this case, x = [-1 ± √(1 - (-4 * 1 * (-xyz))]/2

Since xyz must be a positive integer, the only solution is when the square root of 1 - (-4 * -xyz) is 0

This means xyz must be 1, so x + y + z = 1 + y + z = 3

Since x, y and z are all distinct digits, the only possible solution is when x = 1, y = 1 and z = 1, giving the solution 111.

For more questions like Digits number click the link below:

https://brainly.com/question/562281

#SPJ4


Related Questions

Alexa likes watching the show Engineering Marvels.
In last night's episode, the engineering team visited
a tall skyscraper and a deep mine. A banner at the
bottom of the screen showed the elevation of each
location the team visited.
Location Elevation (m)
Top of the skyscraper 275
Bottom of the mine
-260
Which location is closer to sea level?

Answers

Answer:

Bottom of the mine

Step-by-step explanation:

I'm assuming sea level is 0, so if it's not I'm wrong. To find the distance, you can't have a negative distance, so if there's a negative or really any number use it's absolute value. Is 260 greater or less than 275? Less than, meaning it's closer to 0.

Find the area of the semi circle with a radius of 2 feet

Answers

Answer:

area of semi circle πr=π×2=44/7 feet²

9. A right triangle is drawn in a circle, as shown in the picture below. The legs of the right triangle are radii and have a length of 6.8 centimeters. What is the length, in centimeters, of the hypotenuse to the nearest tenth​

Answers

Answer:

B.9.6cm

hope it helps. good day if I'm wrong tell me.

Avani went to the store to buy some walnuts. The price per pound of the walnuts is $4.75 per pound and she has a coupon for $3 off the final amount. With the coupon, how much would Avani have to pay to buy 3 pounds of walnuts? Also, write an expression for the cost to buy p pounds of walnuts, assuming at least one pound is purchased.​

Answers

Answer: For the cost of three pounds: 11.25 !

Answer: Cost of P Pounds: 4.75 p- 3 !

Round the number to the nearest tenth.
5.19
Hint: Do not leave a zero in the
hundredths place.

Answers

5.2
rounded to the nearest tenth!

[tex]Simplify:\sqrt{64x^8y^2z^1^2}[/tex]

Answers

Answer:

theres nothing here....

is this a function ? explain your reasoning.

can someone help me pleasee !

Answers

yes it’s a function since every input has at least 1 output and there’s not multiple lines coming from the input side

Which of the following functions has a range of f(x) 2 2?
O A. f(x) = 2x + 8
OB. f(x) = 4x + 2
O C. f(x) = (x - 1)2 + 2
O D. f(x) = -x2 + 2

Answers

Answer:

A.f(x)=2x+8

22=2x+8

-8+22=2x

14/2=2x/2

7=x

x=7

B.f(x)=4x+2

22=4x+2

-2+22=4x

20/4=4x/4

5=x

x=5

Please help! Will give good rating

Answers

Answer:

88 ft²

Step-by-step explanation:

Find the area of the shaded region:

8x16= 128

Find the area of the un-shaded region:

5x4=20

20x2 regions= 40 ft² total

since the unshaded region is excluded from the shaded region subtract the area of the shaded region by the area of the unshaded region

128-40= 88

A= 88 ft²

Kamal, Kamala, Krishna invert a sum of RS= 30,000 on a business in the ratio 2 : 3 : 5. Find the each of their investment.

Answers

Let ratios be 2x,3x,5x

[tex]\\ \rm\Rrightarrow 2x+3x+5x=30000[/tex]

[tex]\\ \rm\Rrightarrow 10x=30000[/tex]

[tex]\\ \rm\Rrightarrow x=3000[/tex]

2x=60003x=90005x=15000

A person in a hot air balloon is looking down with an angle of depression of 36° at their car 75 feet away (straight line distance). What is the altitude of the balloon?

Answers

75/tan(36) = 103.228644

HELP ME ASAP!!!!!!!

See pic attached.

WINNER PLEASE FRIEND REQUEST ME AND I'LL ACCEPT AND PLUS YOU'LL GET BRAINLIEST, THANKS AND A STAR RATING OF EXCELLENT! Good Luck!

Answers

Answer:

4250 children.

Step-by-step explanation:

72 - 38 = 34

34 degrees = 578 people

/34                   /34

1 degree = 17 people

72 + 38 = 110

360 - 110 = 250

17 * 250 = 4250 children.

can i get help please so much :)

Answers

Mean = 76.57
Median =75
Mode= 75
Range= 49

Answer:

Mean: 76.6 (rounded the original number- 76.571)

Median: 75

Mode: 75

Range: 49

Standard Deviation: 14.50 (i round it, original number- 14.4504)

Step-by-step explanation:

I calculated everything, please lemme know if any of it is wrong!

10. Jacque is adding a rectangular room on the back of his house. The length will be 5 meters

longer than the width. If the area of the room will be 150 square meters, what are the

dimensions?

Answers

Answer:

L = 15 m, b = 10 m

Step-by-step explanation:

Let width of the rectangle be b.

Length = 5+b

The area of the rectangle is 150 sq meters.

The area of rectangle is given by :

A = lb

So,

[tex]150=b(5+b)[/tex]

It is a quadratic equation. The solution of this equation is :

b = -15 m and 10 m

Neglecting -15, the width of the rectangle is 10 m.

Length = 5+10

= 15 m

So, the dimensions of the room are 10 m and 15 m.

No files!!! A expert or somebody pls help with me!!! Math.

Answers

Answer:

Number 3 is  c)6.28cm

Number 4 is  b)20.94

Number 5 is  b)12.56m2

PLEASE ANSWER FAST I'M BEING TIMED!

What additional piece of information must be known in order to calculate the volume of the cylinder below?

A cylinder with radius of 7 inches.

a) the diameter of a base
b) the height of the cylinder
c) the area of a base
d) the radius of a base

Answers

Answer:

the height, the formula for violume of a cylinder is pi * r^2 * h

Step-by-step explanation:

Answer:

D. the radius of a base.

Step-by-step explanation:

Find the lateral surface area of a cylinder with a base radius of 7 inches.

can someone help me plss

Answers

Answer:

3 is vertical

1 is same side interior

2 is correspnding

4 is straight angles

Step-by-step explanation:

A cylinder of clay has a radius of 6 cm and a height of 12 cm. If this clay is made into congruent cones with a radius of 3 cm and a height of 8 cm, how many cones could be made with all of the clay? Show work to support how you determined your answer.

Answers

Answer:

So we want to know how much clay did Joseph add after he built the cone. So the formula for the volume of the cone is V=(1/3)*pi*r^2*h where r is the radius and h is height. We know h1=12cm and r1=6cm, r2=6cm and h2=18 cm. So to get the amount of added clay Va we simply subtract the volume of the clay of the first cone V1 from the volume of the second cone V2: Vd=V2-V1=(1/3)*pi*(r1^2)*h1 - (1/3)+pi*(r2^2)*h2. Va=678.24 cm^3-452.39 cm^3= 266.08 cm^3.

Step-by-step explanation:

brainliest?

Help me out pleaseeeeeeeeee!!!!!

Answers

Answer:

8.001 percent

Step-by-step explanation:

the numbers of people that auto race divided by the total number of people who took the survey multiplied by a hundred

Answer:

8%

Step-by-step explanation:

in order to find the probability that a random adult from the 2237 will like auto racing we need to divide the number of people who prefer auto racing by the total number of adults

179/2237≈0.08

8%

5 teams are at an athlic evenr. The teams all have the same number of players.The head coach ask for 2 players from each team to healp fill water bottles.There are a total of 80 players left

Answers

Answer:

36 left

Step-by-step explanation:

A negative number with an absolute value less than
-4 and 4 was incorrect so no about those

Answers

Answer:

what are u trying to say

Step-by-step explanation:

Yes, you are correct

Proof! Please help <3

Answers

Look how they connect the triangles

HI ME AGAIN I WOULD APPRECIATE IF YOU CAN HELP

Answers

Answer:

75 students were surveyed!

Step-by-step explanation:

strawberry: 25

coffe: 35

vanilla: 10

fudge ripple: 5

Just add that all together

[tex]25 + 35 = 60[/tex]

[tex]10 + 5 = 15[/tex]

[tex]60 + 15 = 75[/tex]

so 75

Which is the correct answer?

Answers

Answer:

The first one

Step-by-step explanation:

Solve for a. Please
1+4a<9

Answers

Answer:

a < 2

Step-by-step explanation:

Answer:

I dont know

but 5b<10?

Step-by-step explanation:

I dont know

What steps transform the graph of y = x? to y = -(x + 3)2 + 5?
translate 3 units to the right, translate down 5 units
translate 3 units to the left, translate up 5 units
o reflect across the x-axis, translate 3 units to the left, translate up 5 units
reflect across the x-axis, translate 3 units to the right, translate down 5 units

Answers

Answer: reflect across the x-axis, translate 3 units to the right, translate down 5 units and look at the picture

Step-by-step explanation: Hope this help :D

Is this right? Please help me

Answers

Answer: Thats correct

52. A 33-tt ladder leans against a building so that the angle between the ground and the ladder is 80". How high does the
ladder reach up the side of the building?

Answers

9514 1404 393

Answer:

  32.5 ft

Step-by-step explanation:

The length of the side opposite the given angle is found using the sine relation:

  Sin = Opposite/Hypotenuse

  height on building = (33 ft)·sin(80°) ≈ 32.5 ft

The ladder reaches about 32.5 feet up the side of the building.

_____

Additional comment

The maximum angle compliant with OSHA safety rules is 75.5°.

Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. Write and solve an inequality to find how many hours she will need to babysit to buy the dress. Interpret the solution.

Answers

she will need two more hours to buy the dress

This is how many hours you will need 5 hours

PLEASE HELP PLEASE ASAP​

Answers

Step-by-step explanation:

Range = Largest number in list - Smallest Number in list

[tex] = 7 - ( - 3) \\ = 7 + 3 \\ = 10[/tex]

Answer:

10

Step-by-step explanation:

7 - (- 3) =

7 + 3 =

10

Other Questions
How many grams of sodium are in 2.10 x1022 atoms of sodium?preferably on picture so i can see your work List the four codes for RNA and show how they are paired. 4.What system is the system that takes in oxygen and releases carbon dioxide.skeletalmuscularcirculatoryrespiratory Hola, abuela:Cmo ests? Te gusta tu nueva (1)porttil? Voy a explicarte cmo abrir una cuenta decorreo electrnico. Primero, elige un nombre de (2)y una (3)de un mnimo de seis caracteres. Para (4)que tu cuenta funciona adecuadamente, escribeun mensaje con tu nueva (5)electrnica. No te olvides de poner el smbolo de(6)Si quieres (7)un archivo, slo tienes que hacer clic en elicono del clip. Puedes utilizar tu cuenta en un telfono (8)con acceso a la(9)El correo electrnico tambin tiene un corrector (10)sque la (11)te asusta un poco, pero estoy seguro de que puedes hacerlo. El ao pasadoenviaste (12)de texto sin problema.Un beso muy fuerte,Mario Mhanifa please help i will mark brainliest :) 1. Jillian and Harold both leave the mall to go home headed in different directions. The angle between their paths towards home is 57(degrees). Harold lives 3.7km from the mall and Jillian lives 2.3km. Determine how far apart these two friends live from each other. What is a possible result os simplifying the equation 15x-4=3(5x-4)? If you were a seismologist,what could you do in order to improve on how we can predict an earthquake? Fill in the blank: Yo __________ (poner) ponespongoponoponero What technology advancements helped spur economic growth? Smith and Sons, Inc. Income Statement (in millions) 2016 2015 Net sales 10,300 9,800 Cost of goods sold (5,500) (5,200) Gross profit 4,800 4,600 Selling and administrative expenses (2,800) (2,700) Income from operations 2,000 1,900 Interest expense (300) (250) Income before income taxes 1,700 1,650 Income tax expense (420) (400) Net income 1,280 1,250 Smith and Sons, Inc. Balance SheetAssets Current assets Cash and cash equivalents 450 650Accounts receivable 900 800Inventory 750 900Other current assets 400 250Total current assets 2,500 2,600Property, plant & equipment, net 2,350 2,250Other assets 5,700 5,900Total Assets 10,550 10,750Liabilities and Stockholders' Equity Current liabilities 3,250 3,150Long-term liabilities 5,000 5,400Total liabilities 8,250 8,550Stockholders' equity-common 2,300 2,200Total Liabilities and Stockholders' Equity 10,550 10,750Required:Calculate the quick ratio for Smith & Sons, Inc., for 2015 and 2016. Determine the volume of a square pyramid that has a height of 7 inches and a base with a sidelength of 5 inches What features of eukaryotes provide additional opportunities for the regulation of gene expression compared to bacteria? Select all that apply. Select all that apply. interaction with external environment transcription and translation are coupled processes separated processes of transcription and translation presence of chromatin opportunity for posttranscriptional and pre-translational regulation activation of all genes in genome The kinds of data that reflect climate are different from the conditions described in weather data. Which of the following is a description of climate?A) Yesterday was cold and windy in Anchorage, Alaska.B) Summers are usually mild in Lansing, Michigan.C) Last week it rained every day in San Antonio, Texas.D) Today it is hot and sunny in Phoenix, Arizona. What was Johnny's vulnerability contrasts with1.kindness2.ruggedness3.shyness Alex finds a remnant of landscaping fabric at a garden store . The fabric is the standard width , with length 9.7 m . Alex needs twelve 0.85 - m pieces for a garden patio . a ) Will Alex have more fabric than she needs ? If so , how much more ? b ) Will Alex need more fabric ? If so , how much more ? Can anybody help me pls Look at the two-dimensional net shown.A rectangular pyramid. The rectangular base has a length of 10 meters and height of 3 meters. 2 triangular sides have a base of 10 meters and height of 6.4 meters. 2 triangular sides have a base of 3 meters and height of 8 meters.Which statements are true? Check all that apply.The solid formed by the net will be a rectangular pyramid.The solid formed by the net will be a square pyramid.All four triangular faces have an area of 12 m2.There are two sets of opposite congruent triangular faces.The base has an area of 30 m2. Please answer this correctly without making mistakes (HELP ASAP)Cystic fibrosis is one of the most common genetic diseases in America. It is estimatedthat 1 in 23 Americans are carriers for Cystic Fibrosis. Cystic Fibrosis is a recessive traitthat follows Mendel's Law of Dominance.Answer ALL parts of the free response below - be sure to use vocabulary and explain yourresponse in detail:A. Explain what Mendel's Law of Dominance means B. Explain how 2 parents who do NOT have Cystic Fibrosis could have a child with cysticfibrosis.