For a positive integer n, if the difference between all neighbouring digits are all greater than 3 (e.g. 150),
it is defined as a “good number”. How many three-digit “good number(s)” is/are there?

Answers

Answer 1

Answer:

166 numbers

Step-by-step explanation:

Let n = abc is the 3-digit number

b = 0 - 9, total 10 options

If b = 0, a= 4 to 9, c = 4 to 9, so 6 options each 6*6 = 36 good numbersIf b = 1, a= 5 to 9, c = 5 to 9, so 5 options each 5*5 = 25 good numbersIf b = 2, a= 6 to 9, c = 6 to 9, so 4 options each 4*4 = 16 good numbersIf b = 3, a= 7 to 9, c = 7 to 9, so 3 options each 3*3 = 9 good numbersIf b = 4, a = 8, 9, c = 0, 8, 9, so 2*3 = 6 good numbersIf b = 5, a = 1, 9, c = 0, 1, 9, so 2*3 = 6 good numbersIf b = 6, a = 1, 2, c = 0, 1, 2, so 2*3 = 6 good numbersIf b = 7, a = 1, 2, 3, c = 0, 1,2,3, so 3*4 = 12 good numbersIf b = 8, a = 1, 2, 3, 4, c = 0, 1, 2, 3, 4, so 4*5 = 20 good numbersIf b = 9, a = 1,2,3,4,5, c = 0, 1, 2, 3, 4, 5, so 5*6 = 30 good numbers

Total good 3-digit numbers:

36 + 25 + 16 + 9 + 6 + 6 + 6 + 12 + 20 + 30 = 166

Related Questions

Find the sum of all the numbers between 100 and 200 which are divisible by 7.​

Answers

Answer:

2107

Step-by-step explanation:

In this type of question we have to follow these steps

1) Find the biggest number in interval which is divisible by seven

For this question it is 196

2)Find the smallest number in interval which is divisible by seven

For this question it is 105

3) Then subtract 105 from 196

196-105=91

4) Divide 91 by seven

91:7=13

5)Lastly we have to add 1 to the 13

13+1=14

So we found that we have 14 different numbers that divisible by seven in this interval. So next steps will be about sum of them

To find them sum we have a formula:

  (biggest number + smaller number) x number of terms / 2

      (196+105) x 14 /2  = 2107

Pleaseee i'm struggling so hard on this Geometry thing, show work please

Answers

Answer:

(12x+1)+(5x-3)=117

combine like terms 12x+5x=17x

1+-3= -2

17x-2=117

add 2 to both sides to isolate the variable

17x=119

divide both sides by 17 to further isolate the variable

x=119/17

x=7

answer is x=7

Step-by-step explanation:

add both angles to be the sum of the angle DEF and determine what x must be by the steps above

Answer:

x=7°

Step-by-step explanation:

Form an equation:

12x+1+5x-3=117°

Collect like terms:

Like terms are terms with the same variables and powers.

12x+5x=17x

1-3=-2

put I back into an equation:

17x-2=117°

As we want x, you would have to do inverse operations to 'undo the equation'.

117+2=119°

17x=119°

119÷17=7° (We divide by 17 because when a number is next to a letter, in algebra, it means you times so we have to do the opposite and divide)

So, x=7

Hope this helps :)

solve the equation 3(17x-6.5)=108

a. x=-1.5
b. x=2
c. x=2.5
d. x=5.2

Answers

Answer:

C

Step-by-step explanation:

3(17x-6.5) =108

=17x-6.5=36

=17x =36 +6.5

= 17x=42.4

=x =2.5

Answer:

x= 2.5

Step-by-step explanation:

3(17x-6.5)=108

Divide each side by 3

3/3(17x-6.5)=108/3

17x - 6.5 = 36

Add 6.5 to each side

17x-6.5+6.5=36+6.5

17x = 42.5

Divide by 17

17x/17 = 42.5/17

x= 2.5

given m||n, find the value of x

Answers

Answer:

x=16

Step-by-step explanation:

The angles indicated are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

5x+28 = 7x-4

Subtract 5x from each side

5x+28 -5x = 7x-4-5x

28 = 2x-4

Add 4 to each side

28+4 = 2x-4+4

32 = 2x

Divide by 2

32/2 = 2x/2

16 =x

Step-by-step explanation:

(5x+28)=(7x-4)

2x=32

x=16

32
Two forces one is 10N and other is 6N act on a body The directions are unknown the resultant force on the body is
a. between 4 and 16N
b. more than 6N I
c. more than 1ON
d between 6 and 16N

Answers

If Forces are acting on opposite direction

[tex]\\ \rm\hookrightarrow F_{net}=F_2-F_1[/tex]

[tex]\\ \rm\hookrightarrow F_{net}=10-6[/tex]

[tex]\\ \rm\hookrightarrow F_{net}=4N[/tex]

If both acting on same direction

[tex]\\ \rm\hookrightarrow F_{net}=F_1+F_2[/tex]

[tex]\\ \rm\hookrightarrow F_{net}=10+6[/tex]

[tex]\\ \rm\hookrightarrow F_{net}=16N[/tex]

Hence

[tex]\boxed{\sf 4N\leqslant F_{net}\leqslant 16N}[/tex]

Help Find the square root

Answers

Answer:

√121=11

√81=9

√4=2

√100=10

√144=12

√36=6

√16=4

√1=1

√49=7

√25=5

√9=3

√64=8

I hope this helps

Can someone help me on this ASAP it’s very tricky

Answers

Well the two equations are in y=mx+b form, also known as slope-intercept form.

The slope for the first equation is 5/6. The slope for the second is -4/3. Its very simple. We say that x is 0 for example...

When X = 0...

First equation: Y=7

Second Equation: Y=-6

On the graph you plot (x,y) (0,7) on the graph. so on the Y axis, put a dot at 7. This is for the first equation. We can say x is 6 also, and then the answer is -1.

So the second point is (6,-1).

FIRST EQUATION ONLY: Plot (0,7), (6,-1)

For the second I wont be elaborate as much but its (0,-6), (3,-10)

Brainiest/Heart if helpful!

Answer:

(-6, 2)

Step-by-step explanation:

When you graph [tex]y=\frac{5}{6} x+7[/tex], you get the red line.

When you graph [tex]y=-\frac{4}{3} x-6[/tex], you get the blue line.

The answer is the point they intersect, or cross. That would be (-6, 2).

I hope this helps!

pls ❤ and mark brainliest pls!

G is a transformation of f. What is the formula of g in terms of f?
A. [tex]-\frac{1}{2}f(x)[/tex]
B. -2f(x)
C. f ([tex]-\frac{1}{2}x[/tex])
D. f(-2x)

Answers

Answer:

C

Step-by-step explanation:

First, we can see that from f(x) to g(x), the change in x for each change in y is significantly increased. This represents a stretch in the x direction. A stretch/compression in the x direction is represented by

f(cx), with c > 1 representing a compression by c and 0 < c < 1 representing a stretch by a value of 1/c. From the vertex of each, when y changes by 1, in f(x) x changes by 2 (e.g. from x=2 to x=4), whereas in g(x) x changes by 4 (e.g. from x=-4 to x=0). Therefore, g(x) stretches x by 2, so c = 1/2, giving us

f(c(x))

= f(1/2(x))

Let's say f(a) =  f(1/2(x))

Then, because the graph stretched by 2, the vertex goes from x=2 to x=4. Our vertex is at x=-4 in g(x), so to make the vertex equal to that, we can flip f(a) around the y axis. To flip this around the y axis, we can plug -a in for a, resulting in

f (-(a))

= f(-(1/2)(x))

= g(x)

Which of the following are good ideas to use when gathering your resources?
Check all that apply.
O A. Form an equation:
B. Draw a diagram.
C. List potential formulas.
D. Guess at the solution and see if you are close.
E. Organize into a table.
F. Write down the facts.

Answers

Answer:

Organize into a table for good gatherings.

Write a simplified polynomial expression in standard form to represent the area of the rectangle below:
(See photo)

A. 2x^2 + 3x - 20
B. 2x^2 + 13x - 1
C. 2x^2 + 13x - 20
D. 2x^2 + 3x - 1

Answers

Answer:

A

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = length × breadth

   = (2x - 5)(x + 4) ← expand using FOIL

   = 2x² + 8x - 5x - 20

  = 2x² + 3x - 20 → A

Josh has an aquarium 30 inches deep it takes him 5 minutes to fill the bucket with 3 inches of water he estimates that it will take him under an hour to fill the entire bucket with water if you correct explain why or why not

Answers

I assume your question should be rephrased as "Josh has a bucket 30 inches deep..."

Josh is correct in estimating that it will take him under an hour to fill the entire bucket with water.

Given:

The bucket is 30 inches deepIt takes Josh 5 minutes to fill the bucket with 3 inches of water

To find: If Josh is correct in estimating that it will take him under an hour to fill the entire bucket with water

It is given that, to fill the bucket with 3 inches of water, it takes Josh 5 minutes.

Using Unitary method, we can say that, to fill the bucket with 1 inch of water, it takes Josh [tex]\frac{5}{3}[/tex] minutes.

Then, to fill the bucket with 30 inches of water, it takes Josh [tex]\frac{5}{3} \times 30[/tex] minutes.

Solving, we can say that it takes Josh 50 minutes to fill the bucket with 30 inches of water.

Since the bucket is 30 inches deep, we can say that it takes Josh, 50 minutes to fill the entire bucket, which is just under an hour.

So, Josh is correct in assuming that it will take him under an hour to fill the entire bucket with water.

Learn more about Unitary method here:

https://brainly.com/question/12470900

All even numbers are

Answers

Answer:

2 4 6 8 10 12 14 16.....................................................

Answer:

even numbers are

Step-by-step explanation:

2,4,6,8,10,12,14,16,18,20,24,26 and so on

please mark me brainliest I will follow you

I've provided a screenshot below. In the question, I don't understand why it can't be D. Like both C and D have the same slope, y= 2/3x. The only difference is what comes after for those two. So why is it y=2/3x -12 and not y= 2/3x +1 ???

Answers

Choice C is the only equation with slope 2/3, while choice D has slope -2/3. This subtle difference is enough that the two lines are not parallel. The positive slope line goes uphill when moving to the right. The negative slope line goes in the opposite direction: it goes downhill when moving to the left.

The graph is below comparing the original equation with choices C and D. I used GeoGebra to make the graph, but you could use any other tool you want (eg: Desmos).

Answer:

y = 2/3x - 12 is correct

Step-by-step explanation:

D is incorrect because the slope is -2/3

To have a parallel line, you have to have the some slope, but a different y- intercept

Ill graph y = -2/3x + 1 and y = 2/3x + 5/6 and show you:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

raise irrational number to rational power and get a rational number

Answers

9514 1404 393

Answer:

  (√2)² = 2

Step-by-step explanation:

You can do this for any rational root of a rational number. Simple examples are squares and cubes:

  (√5)^2 = 5 . . . . . . √5 is irrational

  (∛6)^3 = 6 . . . . . . . ∛6 is irrational

__

You can also do it with other rational roots:

  x = 83^(2/3) is irrational

  x^(3/2) = 83 is rational

2x +4>- 6 and 5x -12<3

Answers

Step-by-step explanation:

bzbzbsbbsbsbsbsbsbsbsbbsbs indian

[tex]x^{2} +5x+3[/tex]+2x^{2}+10x-15=0

Answers

x²+5x+3+2x²+10x15 =0x²+2x²+5x+10x+3+15=03x²+15x+18=03(x²+5x+6) =0 because 3 is common factor3(x²+3x+2x+6) spill the middle term3(x(x+3)+2(x+3) take the common factor from term3(x+2) (x+3)

answer is 3(x+2) (x+3)

please mark this answer as brainlist

Topic: Simultaneous equations Class 9 ICSE​

Answers

Denote the number by 10a + b, where both a and b are integers picked from {1, 2, 3, …, 9}.

"the difference of whose digits is 3"   ==>   |a - b| = 3

"4 times the number is equal to 7 times the number obtained by reversing the digits"   ==>   4 (10a + b) = 7 (10b + a)

Simplifying the second equation, you get

40a + 4b = 70b + 7a

33a - 66b = 0

a - 2b = 0

Assume a > b, in which case we would have |a - b| = a - b, so

a - b = 3

Eliminate a to solve for b, then for a :

(a - b) - (a - 2b) = 3 - 0

b = 3   ==>   a = 6

Then the original number is 63.

If instead we had assumed a < b, we would have had |a - b| = b - a = 3. Then

2 (b - a) + (a - 2b) = 2×3 + 0

-a = 6

But neither a nor b can be negative, so this case is moot.

Can someone help me with this math work and please explain why the answer is what it is

Answers

Answer: 58unit²

Step-by-step explanation:

We will take 1 square as 1 unit

We will count the number of squares in in this figure.

Total squares = 58

Area = 58unit²

please click thanks and mark brainliest if you like :)

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

I believe its negative nonlinear association

Step-by-step explanation:

The line is going down so its definitely negative

And the line is not straight so its not linear

Therefore, its negative nonlinear association

Which ordered pair is a solution to the following linear system?

y = x

y = –x

Question 3 options:

(0, 0)


(0, 1)


(1, 1)


(1, 0)

Answers

(0,0)

How?

Putting values

[tex]\\ \sf\longmapsto y=x[/tex]

[tex]\\ \sf\longmapsto 0=0[/tex]

And

[tex]\\ \sf\longmapsto y=-x[/tex]

[tex]\\ \sf\longmapsto 0=-0[/tex]

Hence verified

Expand.
Your answer should be a polynomial in standard form.

Answers

Answer:

-p^4 + 4p^3 - 5p^2 + 8p - 6

Step-by-step explanation:

Distribute the -p^2 to the p^2 and the 2. Then distribute the 4p to the p^2 and the 2. Then distribute the -3 to the p^2 and the 2.

When we expand:

-p^4 - 2p^2

+ 4p^3 + 8p

-3p^2 - 6

Group, ordering from highest to lowest "degree" (exponent).

-p^4 + 4p^3 - 2p^2 - 3p^2 + 8p - 6

Combine like terms.

-p^4 + 4p^3 - 5p^2 + 8p - 6

Point M is the midpoint of AB. The coordinate of point A are (-8,3) and the coordinates of M are (-2,1). What are the coordinates of point B?

Answers

Answer:

(4, -1)

Step-by-step explanation:

xB = -2+(-2-(-8)) = -2 +6 = 4

yB = 1+(1-3)=1+(-2) = -1

so, the coordinates of point B => (4, -1)

Find f(-2) for f(x) = 2(4)^x

Answers

Answer:

2(4)^-2

=2/4^2

2/16

1/8

thanks

Answer:

f(- 2) = [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

To find f(- 2) substitute x = - 2 into f(x) , that is

f(- 2) = 2 [tex](4)^{-2}[/tex] = 2 × [tex]\frac{1}{4^2}[/tex] = 2 × [tex]\frac{1}{16}[/tex] = [tex]\frac{2}{16}[/tex] = [tex]\frac{1}{8}[/tex]

Which of the following is a rational number?

square root 97
square root 98
square root 99
square root 100

Answers

Answer:

[tex]\sqrt{100}[/tex] is a rational number

Step-by-step explanation:

[tex]\sqrt{97}=9.848857.....\\\\\sqrt{98}=\sqrt{2*7*2}=2\sqrt{7}\\\\\sqrt{99}=\sqrt{3*3*11}=3\sqrt{11}[/tex]

 Square root of all prime numbers are irrational numbers

In AFGH, mZF = (6x – 14), mZG = (4x – 8)°, and m_H = (x + 15)°.
Find mZF.

Answers

Answer:

Step-by-step explanation:

(6x - 14)° + (4x - 8)° + (x + 15)° = 180°

11x - 7 = 180

11x = 187

x = 17

m ∠ F = ( 6 × 17 - 14 )° = 88°

12 flowers are planted in a squared garden.How many garden are needed for this purpose?​

Answers

answer:

tell us why the other gardens are needed

4.32/3.6=
please help soon!!

Answers

Answer:

if this is division it's 1.2.

Step-by-step explanation:

just divide it of its division if not sorry

Answer:

1.2

Step-by-step explanation:

Plz help me out asap

Answers

Answer: c. always

Step-by-step explanation:edmentum

You're at a clothing store that dyes your clothes while you wait. You get to pick from 4 pieces of clothing (shirt, pants, socks, or hat) and 3 colors (purple, blue, or orange).
If you randomly pick the piece of clothing and the color.

What is the probability that you'll end up with socks that aren't blue?

Answers

Answer:

¼ chance

Step-by-step explanation:

If there is 4 items and 1 blue die and its a ¼ chance if there was more blue then there would be a higher chance for having blue socks

Consider a triangle ABC like the one below. Suppose that a=51, b=16, and A=108. (The figure is not drawn to scale.) Solve the triangle.
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If no such triangle exists, enter "No solution." If there is more than one solution, use the button labeled "or".

Answers

Answer:

B = 17.4°

C = 54.6°

c=43.7

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