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

A construction worker drops a wrench from a height of 484 feel the function

h =

16x

+ 484 gives the height h of the wrench after a seconds When does the wrench hit the ground?

The wrench hits the ground blank

seconds after it is dropped

Answers

Answer:

30.25 seconds

Step-by-step explanation:

If you want to find the time at which the wrench hits the ground, you must recognize that the height of the wrench is 0 feet. If h represents the height, then 0 can be plugged in for h. The equation is now 0=16x+484. You then must subtract 484 from both sides, giving you -484=16x. You then divide both sides by 16 to give you x by itself. -484/16=-30.25. Because this is dealing with time and negative time does not exist, the negative sign on the 30.25 can be neglected.

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

p=9

Step-by-step explanation:

p = 9

isolate the variable by dividing each side by factors that don’t contain the variable

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Answers

Answer:

2.25

Step-by-step explanation:

What is the volume of this solid?

Answers

Answer:

175 in³

Step-by-step explanation:

First the area of the triangle:

S: ½a×b×SinC

½×7in×10in×Sin90°===> 35in²

and now the volume

35 in²×5 in=175 in³

Q2.
Find the number that is exactly half way between -4 and 10

Answers

Answer:

3

Step-by-step explanation:

What is the solution to the following equation? (4 points)

2(3x − 7) + 18 = 22

a
1

b
3

c
5

d
6

Answers

Answer:

Zoom it

mark me as brainliest

The answer is 3

Open the brackets:2(3x - 7)=6x -14

6x - 14 +18 =22

Take all the numbers to the other side

6x =22+14-18

6x =18

Divide by 6 kn both sides

x=3

Expand logarithm equation

Answers

Answer:

6log_4(x) - 4log_4(y)

A statue of George Washington is also in Druid Hill Park. If a girl stands 15 m away from the statue, and places a mirror 12 m from the statue (3 m from her feet), she can see the top of the statue in the mirror. The girl's height is 5.5 ft. How tall is the statue?

Answers

Answer:

The statue is 22ft tall.

Step-by-step explanation:

Here we will have two similar triangle rectangles.

One is made between the girl's feet, the mirror, and the girl's eyes.

So in this case the catheti are:

the distance between the girl and the mirror (3 m) and the height of the girl (5.5 ft)

The other triangle rectangle has the vertices:

The mirror, the base of the statue, and the top of the statue.

Such that the catheti of this triangle are the distance between the base of the statue and the mirror (12m) and the height of the statue (we want to know this, let's call this X for the moment).

Because the triangles are similar, this means that there is a proportionality constant between each correspondent side, let's call this k.

Then the distance between the girl and the mirror must be k times the distance between the base of the statue and the mirror:

3m = k*12m

And the height of the girl must be k times the height of the statue.

5.5ft = k*X

You can see that we have different units, this does not matter because k is a dimensionless constant.

With the first equation we can find the value of k

3m = k*12m

3m/12m = k

(3/12) = 1/4 = k

Now we can replace this in the other equation to get:

5.5ft = (1/4)*X

Solving this for X we get:

(5.5ft)*4 = X

22ft = X

The height of the statue is 22ft.

Which of the following could be a rational number

Answers

I dont know you tell me?

What are the options???

I need to find the unknown dimension of a rectangle if its area is 216 square miles and one dimension measures 6 miles

Answers

Answer:

36 miles

Step-by-step explanation:

The area of a rectangle = Length × Width

One dimension = 6 miles

Area = 216 square miles

Hence, the other dimension = 216 square miles/6 miles

= 36 miles

The unknown dimensions is 36 miles

Find the area of the shaded region. Round your answer to the nearest hundredth.

Two concentric circles such that the inner circle divides the radius of outer circle into two segments of equal lengths labeled 8 centimeters. The region formed between two circles and one diameter of outer circle is shaded. The diameter makes an arc that measures 180 degrees.

The area is about ??? square centimeters. (if you have another answer you can add me on discord ^LoneLai^#0320)

Answers

Answer:

FIRSTLY GET THE AREA OF THE WHOLE CIRCLE BY USING FORMULA [tex]pi \times r ^2[/tex]THEN AFTER THAT DIVIDE THE AREA BY 2AFTER THAT UR ANSWER WILL COME

PLEASE MARK ME AS BRAINLIEST

Thus the area of shaded region is 301.5 cm^2.

What is circle?

"The collection of all points equidistant from a fixed point in a plane is called a circle".

For the given situation,

The radius of the inner circle be r = 8 cm and

the radius of the outer circle be R = 16 cm

The formula to find area of the circle, [tex]A=\pi r^{2}[/tex]

Area of inner circle, [tex]A_{1} =\pi r^{2}[/tex]

⇒[tex]3.14[/tex] × [tex]8[/tex] × [tex]8[/tex]

⇒[tex]200.96[/tex]

≈[tex]201[/tex]

Area of outer circle, [tex]A_{2} =\pi R^{2}[/tex]

⇒[tex]3.14[/tex] × [tex]16[/tex] × [tex]16[/tex]

⇒[tex]803.84[/tex]

≈[tex]804[/tex]

The shaded region replicates the semicircle. So,

Area of the shaded region [tex]=\frac{A_{2} }{2} -\frac{A_{1} }{2}[/tex]

⇒[tex]\frac{804}{2} -\frac{201}{2}[/tex]

⇒[tex]402-100.5[/tex]

⇒[tex]301.5 cm^{2}[/tex]

Hence we can conclude that the area of shaded region is [tex]301.5 cm^{2}[/tex]

Learn more about circles here

https://brainly.com/question/1297097

#SPJ2

Independent Practice


Now practice solving some problems.



Which number is a solution of the inequality ?
[tex]\frac{4-m}{m}[/tex][tex]\geq[/tex]5


IT'S NOT A. 2



A.

2



B.

0.75



C.

–4



D.

0.5

Answers

Answer:

B

Step-by-step explanation:

Answer:

m ≤ 2/3 or m ≤ .67

Step-by-step explanation:

cross-multiply:

4 - m ≥ 5m

4 ≥ 6m

4/6 ≥ m  or  m ≤ 2/3

6x + 2(5x -6) how do i get the answer?​

Answers

6x+2(5x-6)
6x+10x-12
16x-12

someone help please

Answers

Answer:

b

Step-by-step explanation:

102.4..... you're right

Answer:

the answer is  102.4

Step-by-step explanation:

anyone know this?????

Answers

Answer:

WZX=57

Step-by-step explanation:

90-33 = 57

You don't have to use the equation unless you want to check yourself.

The volume of the oblique cylinder is 24 ft?,
Which statements are true? Check all that apply,
The height of the cylinder is 3.4 ft.
The diameter of the cylinder is about 4.5 ft.
3.4 ft
The diameter of the cylinder is about 3 ft.
The radius of the cylinder is about 6 ft.
A right cylinder with the same height and radius as
this oblique cylinder would also have a volume of
24 fri

Answers

Answer:

A, C, E

Step-by-step explanation:

Right on Edge

OMG PLEASE HELP AHHH LIKE PLEASE HELP

Answers

Answer:

the ratio used was 1:19

Step-by-step explanation:

let a be the action figure version

let r be the real iron man

let's list out the important things.

a = 4''

r = 6'4''

one foot has 12 inches

convert r into inches:

6 × 12 = 72           (6 feet in r)

       r = 76''          (72 + 4)

r = 76''

a = 4''

ratio is 4:76

simplify

4:76

2:38

1:19

the ratio they used is 1:19

good luck,

-cheesetoasty

Calculate the Mean Absolute Deviation of these data. Round answers to the nearest tenth (one decimal place).

12, 17, 20, 8, 13

Answers

Answer:

18/5

Step-by-step explanation:

12+17+20+8+13 =70

70/5 = 14 which is the mean

the distances from the mean are

2 3 6 6 1

add them which is 18 then divide by 5 to find the mean

18/5

Which number line shows the correct locations of all the given values?

Answers

Answer:

it would be c because it is plotted correctly

CARL BUYS 4 ONT PINT CARTONS OF MILK. HE BUYS LESS JUICE THAN MILK. WHICH COULD BE THE AMOUNT OF JUICE.

Answers

Answer:

0 pints ≤ J ≤ 4 pints

Where J is the amount of juice that Carl bought.

Step-by-step explanation:

Here we need to learn how to use the inequality symbols.

Let's define each one of them:

A < B   (A is strictly smaller than B)

A > B  (A is strictly greater than B)

A ≤ B (A is smaller than or equal to B)

A ≥ B  (A is greater than or equal to B)

A ≠ B  (A is different than B)

Ok, in this case, we know that Carl buys 4 one-pint cartons of milk.

Then the total amount of mil that he buys is 4 times one pint, this is:

4*1 pint = 4 pints

He has 4 pints of milk.

And we know that he buys less juice than milk, then if J represents the amount of juice that he bought, we need to have:

J < 4 pints

This means that the amount of juice that he bought is smaller than the quantity of milk that he bought (4 pints)

If we want to be more correct, we should write:

0 pints ≤ J ≤ 4 pints

Here we say that J needs to be a positive number (we can't buy a negative quantity of juice)

find the circumference of a circle with a radius of 9.8 in. (urgent)

Answers

Answer: 61.58

Step-by-step explanation:

C = 2 π r = 2 · π · 9.8

π = pi

radius times pi (3.14) times 2 (because two radius makes the diameter)

9.8 times 3.14 times 2 = 61.57522in

Now we round.. 61.58

:) I hope this helps!  

f(x)=-2(x-4)^2+8 find the vertex

Answers

Set the polynomial equal to

y

to find the properties of the parabola.

y = -3(x+4)^2 - 8

Use the vertex form, y = a (x-h)^2 + k, to determine values of a,h and k

a = -2

h = -4

k = -8

Find the vertex (h,k)

(-4, -8)

As per the vertex form of a quadratic equation, the vertex of the given quadratic equation is (4, 8).

What is a quadratic equation?

"A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0)."

What is the vertex form of a quadratic equation?

"The vertex form of a quadratic equation is:

y = a(x - h)² + k

Here, a, h, and k are real numbers, where a ≠ 0. x and y are variables.

Here, (h, k) is the vertex and (x, y) represents a point on the graph of the given equation."

Here, the given quadratic equation is:

y = f(x) = -2(x - 4)² + 8

By comparing it with the vertex form of a quadratic equation, we get:

h = 4, y = 8.

Therefore, the vertex(h, k) of the given quadratic equation is (4, 8).

Learn more about the vertex form of a quadratic equation here: https://brainly.com/question/27255597

#SPJ2

3. During the period of October 1 to 15, Cathy Powers spent the following: October 1, rent, $540;
October 6, electricity, $48.55; October 7, food, $34.15; October 6, dinner at the China Palace,
$12.80; October 12, blouse, $18.95, October 14, food, $38.60; October 15, magazine, $2.00,
and batteries, $6.50. Make a cash record of her expenses and total them.

Answers

Answer: Cathy spent a total of $701.55.

Step-by-step explanation:


1. أوجد احداثيي كل نقطة من النقط E,a,b,c,d,
حيث :
Oc=0A+ob

OB=2j
OE = 2AC ، OD = - 2i+3
2. عين مركبات كل شعاع من الأشعة التالية: 3BC+AB, AB+-3BC​

Answers

Answer:

Um what’s this language?

Step-by-step explanation:

Nevada has the fastest growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population 2010 ? Apply the population growth formula N=Noe^rt

Answers

Answer:

32,322,237 million or 3.23million

Step-by-step explanation:

Nevada has the fastest-growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population in 2010? Apply the population growth formula N=Noe^rt

Applying the formula given above

N=Noe^rt

No = 2.62 million

r = 3.5% = 0.035

t = 2010 - 2004 = 6 years

N = 2.62 × e^6 × 0.035

N = 3.2322365171 million

= 32,322,237 millon

Approximately = 3.23 millon

Algebraically, find the roots of x² - 4x - 5=0,​

Answers

x = 5 and x = -1

Solve using quadratic formula

75in, 60 in Pythagorean
What’s the missing leg?

Answers

Answer:

X = 45

Step-by-step explanation:

a^2 + b^2 = c^2

60^2 + a^2 = 75^2

3,600 + a^2 = 5,625

- 3,600            - 3,600

____________________

    a^2= 2025

square root them

a^2 = a

2025 = 45

so x =45

Write an equation in slope intercept form of the line that passes through the points (4,13) and (8,18)
A. y=2.5x+3
B. y=1.5x+7
C. y=2x+5
D. y=1.25x+8

Answers

Answer:

y=5/4x+8 Answer Choice D).

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(18-13)/(8-4)

m=5/4

y-y1=m(x-x1)

y-13=5/4(x-4)

y-13=5/4x-20/4

y-13=5/4x-5

y=5/4x-5+13

y=5/4x+8

How might doing math slowly help with problems that are difficult to understand or hard to solve?

Answers

Q: How might doing math slowly help with problems that are difficult to understand or hard to solve?

A: It calms you down. When you are stressed, you are most likely to get it wrong because you are panicking. This also helps because you can read the problem correctly and make sure you are doing it right, because in math, If you get 1 small thing wrong, you usually get the entire thing wrong.

I hope this helped!

~flipohrama

Solve for X. Will give brainliest!

Answers

Answer:

57.6

Step-by-step explanation:

Parallel lines cut by transversals have proportional segments.

25/30 = 48/x

25x = 30 * 48

25x = 1440

x = 57.6

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