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.

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Related Questions

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:

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

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.

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

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

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%

Proof! Please help <3

Answers

Look how they connect the triangles

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

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°.

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

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 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.

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

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 !

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.

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

Answers

Answer:

theres nothing here....

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:

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

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!

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

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.

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

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

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.

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

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

Which is the correct answer?

Answers

Answer:

The first one

Step-by-step explanation:

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

Is this right? Please help me

Answers

Answer: Thats correct

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