The product of all digits of positive integer M is 105. How many such Ms are there with distinct digits?

Answers

Answer 1

Answer:

6

Step-by-step explanation:

105 is a composite number (not prime).  If you decompose 105 into its prime factors (see attached image), you get 105 = 3 x 5 x 7.  This means that the product 105 can only be written this way; any other way, for example 15 x 7 would not use numbers that are single digits.

The question boils down to how many ways the digits 3, 5, 7 can be arranged, using each digit exactly once.

That's a permutation problem, and it can be answered easily by thinking this way:  given the digits 3, 5, 7, there are 3 choices for the first digit, then 2 for the second digit (for EACH of the first choices), then only 1 choice for the final digit.

3 x 2 x 1 = 6 ways that 3, 5, 7 can be arranged to make a 3-digit number.  Here they are:

357, 375, 537, 573, 735, 753

The Product Of All Digits Of Positive Integer M Is 105. How Many Such Ms Are There With Distinct Digits?

Related Questions

Find area of parallelogram plz

Answers

Answer:

Option A

Step-by-step explanation:

the area of the parallelogram is 22.05

more slopeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: for me it must be A or C I have a picture how I find my answer.

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

What is an equation of the line that passes through the points (--8, 0) and (8, 4)?

Answers

Answer:

equation of a line =(y2-y1)/(x2-x1)=(4-0)/(8--8)=4/16=1/2 is your answer.

Matthew has 75 papers to sell he only sold 45 papers so far, what percentage of the total number has he sold? Explain your thinking

Answers

Answer:

60%

Step-by-step explanation:

To make it easier, I divided 75 by 100 (0.75), and did the following:

45 / 0.75 = 60

Answer:

60%

Step-by-step explanation:

75 would be represented as 100 percent.

(HELP 10 POINTS ) Find (x+3)(x2−2x−8). Write your answer in standard form.

Answers

Answer:

[tex]x^{3}+x^{2} -14x-24[/tex]

h0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0wh0w

Answers

Answer:

$2 is the answer ok no problem

Why is the pope an important figure in Christianity?

He is part of the Trinity.
He writes the scriptures.
He chooses the apostles.
He is the leader of Catholicism.

Answers

First off, this question does not belong under the math category.

The answer to your question is D. He is the leader of Catholicism.

Hope This Helps.

Can i get brainliest?

Answer: D

Step-by-step explanation:

did on edge 2021

simplify the equation -x^3 + 5x + 7x^2 +8x^3 - (-x^3 +x)​

Answers

Answer:

8x³ + 6x² + 5x

Step-by-step explanation:

Let's simplify step-by-step.

−x^3 + 5x + 7x^2 + 8x^3 − ( −x^3 + x )

Distribute the Negative Sign:

= −x^3 + 5x + 7x^2 + 8x^3 + −1 ( −x^3 + x )

= −x^3 + 5x + 7x^2 + 8x^3 + −1 ( −x^3 ) + −1x

= −x^3 + 5x + 7x^2 + 8x^3 + x^3 + −x

Combine Like Terms:

= −x^3 + 5x + 7x^2 + 8x^3 + x^3 + −x

= ( −x^3 + 8x^3 + x^3 ) + ( 7x^2 ) + ( 5x + −x )

= 8x^3 + 7x^2 + 4x

Answer:

= 8x^3 + 7x^2 + 4x

The m<3 = (2x + 10) and m<6 = (3x-15) find the value of x, m<3 and M<6

Answers

Answer:

x=25

m∠3=60

m∠60=60

Step-by-step explanation:

angle3= angle6

2x+10=3x-15

x=25

m∠3=2(25)+10=60=m∠6

please determine if the relationship is linear, exponential, or quadratic. justify your answer.

Answers

Answer:

This function is a quadratic.

Explanation:

If you sketch a graph, you will see the points form a U, representing a quadratic function.

an item costs 4 dollars before tax and 4.32 after sales tax what is the sales tax rate

Answers

Answer:

The tax would be 8%

Step-by-step explanation:

4 + 8% = 4.32

Find the ratio of the volume of the triangular prism
to the volume of the cuboid,
Give your answer in its simplest form



Answers

Answer:

The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].

Step-by-step explanation:

Geometrically speaking, the volume of the prism is equal to the product of the area of the base and its height. Then, the volumes of the triangular prism and the cuboid are, respectively:

Triangular prism

[tex]V_{tp} = \frac{1}{2}\times 5\,cm \times 4\,cm \times 9\,cm[/tex]

[tex]V_{tp} = 90\,cm^{3}[/tex]

Cuboid

[tex]V_{c} = 6\,cm\times 5\,cm \times 20\,cm[/tex]

[tex]V_{c} = 600\,cm^{3}[/tex]

Lastly, the ratio of the volume of the triangular prism to the volume of the cuboid is:

[tex]r = \frac{V_{tp}}{V_{c}}[/tex]

[tex]r = \frac{3}{20}[/tex]

The ratio of the volume of the triangular prism to the volume of the cuboid is [tex]\frac{3}{20}[/tex].

I need help with this please help

Answers

Answer:

Step-by-step explanation:

Hope fhat hep,ed skdnfsu. Soidhf scodfiysldm vij fhu idnvcmdlc

a rectangular box is 9in wide, 11in tall, and 20in long. what is the diameter of the smallest circular opening through which the box will fit? if necessary, round to the nearest tenth of a centimeter. (this uses the pythagorean theorem)

Answers

Answer: 6

Step-by-step explanation:

6

What value of x makes the equation true?​

Answers

Answer:

B.2.5

Step-by-step explanation:

The equation would be

[tex]-4x +8 = 2x -7[/tex]

I believe that you would know how to solve this.

You could also sub in 2.5 for the x to check.

Good Luck!!!!!

hii please help i’ll give brainliest

Answers

Answer:

0.5 or 1/2

Step-by-step explanation

I dont know if they want the answer in fraction form.

looking for a friend to meet and get to know :)

Info 99423608632
pass Bz9A3w

Answers

Step-by-step explanation:

flw me. plzzzzzzzzzzzzzzzzzz

Answer:

um.... ok, thanks 4 tho points tho..

Step-by-step explanation:

Marking brainliest(:

Answers

Answer:

B

Step-by-step explanation:

more 8th graders than 6th graders will be at the dance because 80%>60

The answer is B because none of the other make sense.

WILL MARK BRAINIEST PLSSS HELP

Answers

Answer:

integer, real

Step-by-step explanation:

the answer would be integer, real

Answer:

Integer, whole

Step-by-step explanation:

Every morning, Matthew fills his dog’s water dish with 16 oz of water. If his dog
finishes his water every day, how many ounces will his dog drink in a week?

Answers

112 ounces per week
The answer is 112 ounces per week

Solve 3^5x-1 ≤ 30. Round to the nearest ten-thousandth.

A.
{x | x ≤ 0.4000}
B.
{x | x ≤ 1.8000}
C.
{x | x ≤ 3.0959}
D.
{x | x ≤ 0.8192}

Answers

Answer:

Step-by-step explanation: NO SCAM AT ALL 100% LEGIT PLEASE LOOK AT THE PHOTO I PUT.

IM GIVING BRAINLIEST!!!PLEASE HELP!!!I JUST KNOW ITS NOT A!!!

Answers

Answer:

C. In y^2-y=6, 6 should have been subtracted on both sides first.

Step-by-step explanation:

It is a quadratic equation so you subtract the 6 and create

y^2-y-6=0

Then you factor it to:

(y-3)(y+2)=0

The solutions then are:

y-3=0, y=3 and y+2=0, y=-2

{-2,3}

Help me pleaseeeeeee! Ratios and Rates! Worth 20 points help I need the answers in 45 minutes!

Please get 3,4,5,6,7and 8 done I need help!! Thank you no links for websites are aloud thank you

Answers

Answer:

3) 7:8  7 to 8   4) 40/100 = 2/5   5) 60 mph   6) 300 kph   7) Jane  8) Jon can go faster

Step-by-step explanation:

5) 120/2 =60

6) 900/3 =300

7) Tim =50/5= $10 an hour

Jane= 24/2 =$12 an hour

Answer:

look at explanation, oh and pls give brainlist

Step-by-step explanation:

3.   7:8  [tex]\7\frac{7}{8}[/tex] ,7 to 8

4.  [tex]\frac{100 l}{40 w}[/tex], [tex]\frac{25}{10}[/tex], [tex]\frac{50}{20}[/tex]

5.  [tex]\frac{2 hrs}{120 m}[/tex], unit rate= 60 miles per hour, [tex]\sqrt[2]{120}[/tex]=60

6.  [tex]\sqrt[3]{900}[/tex]= 300, 300x3=900, unite rate= 300km per hour

7.  [tex]\frac{50}{5}[/tex]=[tex]\frac{10\\}{1}[/tex], unit rate for Tim= $10 for 1 hour, [tex]\frac{24}{2}[/tex]=[tex]\frac{12}{1}[/tex], unit rate for Jane= $12 for 1 hour, Jane has the higher rate of pay.

8. [tex]\frac{65}{4}[/tex]=[tex]\frac{16.25}{1}[/tex] , [tex]\sqrt[4]{65}[/tex]= 16.25, unit rate for Jon is 16.25ths of a pushup per minute.

[tex]\frac{45}{3}[/tex]=[tex]\frac{15}{1}[/tex], [tex]\sqrt[3]{45}[/tex]=15, unit rate for Paul is 15 pushups per minute.

Jon can do more pushups in 1 minute

Simplify the expression 5(a-2)

Answers

Answer:

5a-10

Step-by-step explanation:

5(a-2)

5a+5×-2

5a-10

The weather forecaster says that tomorrow there is a 87% chance that it will rain. Which word or phrase describes the probability that it will rain?
O certain

O likely

O impossible

O unlikely​

Answers

Answer: likely

Step-by-step explanation:

likely because it is close to 100

Please answer.

No links, no fake answers please

Answers

Answer:

29.88953

Step-by-step explanation:

x = 20*sin(90)/sin(42) = 29.88953

Josha had 20 dollors to spend on three gifts he spent 11 7/10 on gift a and 4 2/5 dollores on gift b how muck money did he have for gift c

Answers

Answer:

3 dollars 90 cents

Step-by-step explanation:

20 - 11.70 = 8.30

8.30 - 4.40 = 3.90


Shawn wants to make a beaded necklace 16- inches long.
If each bead is in, wide, how many beads does he need?

Answers

Answer:

I think it would be 98

Step-by-step explanation:

Just either add or divide.

BeAnS.............................

Answers

Answer:

WhAt THe fAwK!!.....

Step-by-step explanation:

5) Crystal wants to consolidate her bills into 1 smaller monthly payment. She has a total of
$23,000 worth of debt. If she consolidates with a personal loan, she can choose between a 5
year or 8 year loan at 6.75% APR. How much more interest will she pay if she chooses 8
years instead of the 5 year loan?​

Answers

Answer:

The amount more in interest she will pay if she choose 8 years instead of 5 years loan is approximately $2,665.92

Step-by-step explanation:

The total worth of debt Crystal has. P = $23,000

The options on the number of years for which the loans for consolidation are available, t = 5 and 8 years

n = 12 × t = The number of monthly payment = 12×5 = 60 or 12 × 8 = 96

The annual percentage rate of the loans, r = 6.75% = 0.0675

The monthly payments, 'M', Crystal pays is given as follows;

[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right )\cdot \left ( 1 + \dfrac{r}{12} \right)^{n} }{\left ( 1 + \dfrac{r}{12} \right)^{n} - 1}[/tex]

When n = 60, we get;

[tex]M = \dfrac{23,000 \times \left(\dfrac{0.0675}{12} \right )\cdot \left ( 1 + \dfrac{0.0675}{12} \right)^{60} }{\left ( 1 + \dfrac{0.0675}{12} \right)^{60} - 1} \approx 452.72[/tex]

The total amount payed, A = M × n

∴ The total amount payed when n = 60 is, A₅ = 452.72 × 60 = 27163.2

A₅ ≈ $ 27,163.2

The interest on the loan, I₅ = A₅ - P

∴ I₅ = $27,163.2 - $23,000 = $4,163.2

When n = 80, we get;

[tex]M = \dfrac{23,000 \times \left(\dfrac{0.0675}{12} \right )\cdot \left ( 1 + \dfrac{0.0675}{12} \right)^{96} }{\left ( 1 + \dfrac{0.0675}{12} \right)^{96} - 1} \approx 310.72[/tex]

∴ The total amount payed when n = 80 is, A₈ = 310.72 × 96 = 29,829.12

A₈ = $ 29,829.12

The interest on the loan, I₈ = A₈ - P

∴ The interest on the loan, I₈ = 29,829.12 - 23,000 = 6,829.12

The interest Crystal pays when takes the loan for 8 years, I₈ = $6,829.12

Therefore, the amount more interest she will pay if she choose 8 years instead of 5 years loan, ΔI = I₈ - I₅

ΔI = $6,829.12 - $4,163.2 = $2,665.92

The amount more interest she pays if she choose 8 years instead of 5 years loan, ΔI = $2,665.92.

Other Questions
most of the ocean floor is covered in thick layers of ---------A.sedimentB. seaweed C.trashD. decaying organisms Imagine that you are the new human resources manager for a small hotel, and you plan to conduct an evaluation to determine the social behavior and work ethics of the hotels employees. Create a matrix that will determine both components. Then, summarize what you would do with your findings. lee la informacin referente a las funciones del lenguaje Luengo clasifica los enunciados segun corresponde Honremos la memoria de nuestros heroes An olive press produces 6 2/3 gallons of oil in 32 minutes. At this rate, how many gallons of olive oil will be produced in 1 hour?A. 3.6 gallonsB. 12.5 gallonsC. 8.8 gallonsD. 6.2 gallonsPLEASE HELP ITS A TEST!!!! 2A housekeeper had3of a spray bottle of a cleaning solution. He usedHow much of the bottle did he use? In the state of Georgia, how does the selection of juvenile court judges differ from the selection of judges for other state courts?A-Judges are appointed to juvenile courts by members of a superior courtB-Judges are appointed to juvenile courts by the governor of the stateC-Judges are elected to juvenile courts by a vote of the Georgia State SenateD-Judges are elected to juvenile courts through a statewide vote after a hot sun day, a plant withers and dries up. which explains how this happens What happened as the US and Iran came to an agreement to release the hostages? Check all that applyAlgeria served as mediator.The US agreed to unfreeze Irans assets.Half the hostages were released.The president met with Irans leadership.Iran could access funds upon release. Are these triangles congruent ? Help!!!!1. 0.5(4x + 10) - 3(2x - 2) 2. -3 - 3b + 4 - b + 4b - 1 3. 120 - 3(-3r - 4) + 8r Plz help! Urgent!Use the information in the table and choose all true statements. help? ill give u brainilest and some of my chips! Concept 9.5: Find x Assume that segments that appear to be tangent are tangent. Question 5Not yet answeredMarked out of 1.00P Flag questionWhich one of the following torque is produced by the spring in PMMC instrument?O a. DampingO b. ForcingOC. DeflectionO d. Controlling Similarities and differences of a sound of thunder and button button Please help I am in need (BIG POINTS) (NO Fraud Please)Which arkansans was not named as one of the top 100 heroes of world war one Harvey Couch Herman DavisJohn Grider Oscar Franklin MillerThanks, Love NathanielBrainliest For Correct answer for the first take your time if needed but I need it as Possible as can be Ricky is testing soil for a contaminant at a building site,He'll take action to stop construction if there's strongevidence that the soil has more than 400 parts permillion (ppm) of the contaminant. He plans on using soilfrom n = 30 randomly selected locations at the buildingsite. His hypotheses are H, :p < 400 ppm andH:u > 400 ppm, where u is the mean amount of thecontaminant in the soil at this site,Suppose that in reality, H, is actually true,Which situation below would result in the lowestprobability of a Type Il error? Four equal sized boxes contain amaximum of 80 books. How manybooks will fit in 10 boxes? Doe anyone have wordly wise 6th grade 3E passage for wordly wise? Thanks! Select all the correct answers.The dumping of garbage caused the population of crabs in an area to drop from 2,000 to 500. Crabs eat algae and are preyed on by larger fish.How will the crab's population change affect these two specles?OFood and space will be equally distributed among the three species.. The population of predatory fishes will change.O The biodiversity of the ecosystem will decrease.. The algal population will Increase.O The algal population will decrease.