How many positive four-digit integers have the three digits the same and a different fourth digit (in some order)

Answers

Answer 1

Answer:

81 * 4 = 324.

Step-by-step explanation:

There are 81 * 4 = 324 such integers.

There are 9000 four-digit integers from 1000 to 9999. Let’s refer to the digit that occurs three times as the triplet and the digit that occurs once as the singleton.

In the first (most significant) position there are 9 possible values for the singleton, 1 through 9. In each case there are also 9 possible values for the triplet. For example if the singleton was a 1, the triplets could be anything but a 1: 1000, 1222, 1333, …, 1999. So there are 9 * 9 = 81 cases with the singleton in the first position.

A singleton in the second position can have 10 possible values, 0 through 9. If it’s a 0 there are 9 possible values for the triplet: 1011, 2022, 3033, …, 9099. If it’s anything else there are only 8 possible values for the triplet since the triplet cannot be 0: 2122, 3133, 4144, …, 9199. So there are 9 + (8 * 9) = 81 cases with the singleton in the second position.

The third and fourth positions work just like the second. So the grand total is 81 * 4 = 324.

If you plot the 9000 four-digit integers as a 100 x 90 grid of squares and color the integers with three same digits in red, an interesting pattern occurs:

There are 81 * 4 = 324 such integers.

There are 9000 four-digit integers from 1000 to 9999. Let’s refer to the digit that occurs three times as the triplet and the digit that occurs once as the singleton.

In the first (most significant) position there are 9 possible values for the singleton, 1 through 9. In each case there are also 9 possible values for the triplet. For example if the singleton was a 1, the triplets could be anything but a 1: 1000, 1222, 1333, …, 1999. So there are 9 * 9 = 81 cases with the singleton in the first position.

A singleton in the second position can have 10 possible values, 0 through 9. If it’s a 0 there are 9 possible values for the triplet: 1011, 2022, 3033, …, 9099. If it’s anything else there are only 8 possible values for the triplet since the triplet cannot be 0: 2122, 3133, 4144, …, 9199. So there are 9 + (8 * 9) = 81 cases with the singleton in the second position.

The third and fourth positions work just like the second. So the grand total is 81 * 4 = 324.

If you plot the 9000 four-digit integers as a 100 x 90 grid of squares and color the integers with three same digits in red, an interesting pattern occurs:

(If you zoom in, the four-digit number is printed inside each red square - not sure whether or not that will come through after Quora processes the image.)

Hope this helps!

Brain-List?

How Many Positive Four-digit Integers Have The Three Digits The Same And A Different Fourth Digit (in
Answer 2

Answer:

81

Step-by-step explanation:

4 digit number: xxxy

x=1 y can be 0,2,3,4,5,6,7,8,9  ...9 possibility

x can be 1,2,3,4,5,6,7,8,9 ....9 too

9 x 9 = 81

My best guess, wish it's right.


Related Questions

Please help!!!!!!!!!!!!!!!

Answers

Is this Aleks ? Because I definitely need help with that too

Answer:

x = 48.59 degrees

Step-by-step explanation:

Do sin-1(12/16) and put it in a calculator. After that, you will get your final answer as 48.59 degrees. This requires sin because the opposite angle is 12 for x. The adjacent angle is something else.

CAN SOMEONE GIVE ME A SUPER SIMPLE ANSWER TO THIS!!??

How do you recognize if a binomial is a difference of perfect squares and how is the pattern used to factor the binomial?

Answers

Answer:

A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).

Step-by-step explanation:

A binomial is an expression with only terms where at least one is a term with a variable. When we can factor for difference of squares, we can have two variable terms or just one with a constant.

A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).

5x-8 3x+16
Find X
Answers are; 12, 43/2, 52, 4

Answers

Answer:

Step-by-step explanation:

Those angles are vertical angles, so their measure are equal, so we can set them equal to each other to solve this problem.

5x - 8  =  3x + 16

2x - 8  =  16

2x  =  24

x  =  24 / 2

x  =  12

I NEED to answer this correctly. Can I get some help?​

Answers

Answer:

C., F.

Step-by-step explanation:

Vertices in the same position are congruent angles.

There are 3 pairs of congruent angles:

<T, <W

<U, <X

<V, <Y

There are 3 pairs of congruent sides:

TU, WX

UV, XY

TV, WY

Now pick the correct statements from the list:

C., F.

Julie has $1.50 in quarters. How many quarters does Julie have? A. 3 B. 6 C. 15 D. 30

Answers

Answer:

B. 6

hope this helps

Answer:

The answer is b

Step-by-step explanation:

There are 144 total members at the meeting witch is 90%

Answers

90% of 144 is 129.6

if you divide 144 by 10, you get 14.4 and then multiply that by 9 to get 129.6

hope this helps:)
brainliest?

Which cube root function is always decreasing as x increases?

Answers

Answer: D

Step-by-step explanation:

Been stuck on this equation !! The answer isn’t 45 !

Answers

Answer:

The correct answer is 3

Step-by-step explanation:

Order of operation

Kristen has $850 to put in a savings account that earns 4% simple interest each year. How much will be in her account after 6 years?

Answers

Answer:

$1054

Step-by-step explanation:

simple interest = 4% of original amount each time

850/100 = 8.5 = 1%

8.5 x 4 = 34 = 4%

34 x 6 = 204

$850 + $204 = $1054

Are all terminating and repeating decimals rational numbers?

Answers

Answer:

Yes they are rational numbers

Step-by-step explanation:

Rational numbers are Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number.

2 lb for $4.98 5 lb for $12.25 8 lb for $18.80 10 lb for $23.70 which is a better buy?

Answers

Answer:

8 lb for $18.80 is best buy option

Step-by-step explanation:

Given:

2 lb for $4.98 5 lb for $12.25 8 lb for $18.80 10 lb for $23.70

Find:

Best buy option

Computation:

1.  2 lb for $4.98

For 1 lb = $4.98 / 2

For 1 lb = $2.49

2.  5 lb for $12.25

For 1 lb = $12.25 / 5

For 1 lb = $2.45

3.  8 lb for $18.80

For 1 lb = $18.80 / 8

For 1 lb = $2.35

4.  10 lb for $23.70

For 1 lb = $23.70 / 10

For 1 lb = $2.37

Find in the table for any missing values. Please help!!!

Answers

Answer:

1:3

2:6

3:9

5:15

Step-by-step explanation:

Ask yourself: What times 3 equals my number?

As you can see 1x3=3 then 2x3=6, 3x3=9, and lastly 5x3=15

This is how you solve the chart.

find the slope of the line passing through the given points ​

Answers

The answer to your question is y
=
2
3
x

7

I haven't been on here for a while, what's new brain.ly?????!!!!

Answers

Answer:

nothing

Step-by-step explanation:

6. How many sides has a regular poly- gon when each interior angle is 108°? 144°? 120°? 150°? 140°? 90°? 12870?​

Answers

Answer:

there are 'n' sides of the regular polygon. Thus, the measure of the angle of the quad, are 36°, 12°, 108° and 144°. Thus, the required number of sides of the regular polygon is 5.

Step-by-step explanation:

what is the value of y?

Answers

Answer:21

Step-by-step explanation:

Answer:

y = 3

Step-by-step explanation:

9 - y = 2y

Step 1:  Add y to both sides

9 - y + y = 2y + y

9 = 3y

Step 2:  Divide both sides by 3

9 / 3 = 3y / 3

3 = y

Answer:  y = 3

4x + 5y = 10
Ax + By = 16
Find a value for A and B that would make the system above have infinitely
many solutions.

Answers

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

[tex]ax+by = c[/tex]

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

[tex]a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16[/tex]

"In order for a system of equations to have infinity many solutions,

[tex]\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}[/tex] "

Putting the values we get

[tex]\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8[/tex]

Hence,

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

PLEASEEEE please please help me with thissss ill luv u forever!!

Answers

Answer:

Hello,I don't think anyone can help you as your question is not there only the subquestions are. Kindly post the main question for assistance.

Regards

Maggie buys a dress and a pair of shoes at The Home Store. Before adding the sales tax, she pays $48 for a dress that normally sells for $62 and she pays $34 for a pair of shoes that normally sells for $46. a) Before the sales tax, how much does Maggie save on her purchases by buying at the sale price? Show all work. b) To the nearest percent, what percent discount did Maggie get on her total purchase? Show all work. c) Including a 15% sales tax, what total amount will Maggie pay?

Answers

Answer:

a) $26

b) 24.07%

c) $94.3

Step-by-step explanation:

Given that:

Before tax:

Normal price of dress = $62

Discounted price of dress = $48

Normal price of a pair of shoes = $46

Discounted price of a pair of shoes = $34

a) Before the sales tax, total savings = ($64 - $48) + ($46 - $34) = $26

b) Total percentage discount on total sales.

Total bill for original price = $62 + $46 = $108

Percentage discount can be found by the formula:

[tex]\dfrac{\text{Total discount}}{\text{Total bill for original price}}\times 100\\\Rightarrow \dfrac{26}{108} \times 100 = 24.07\%[/tex]

c) Total amount paid if the sales tax is 15%.

Amount paid with tax = Amount after discount + 15% of amount after discount

Amount after discount = $48 + $34 = $82

15% of $82 = $18.29

Amount paid with sales tax = $82 + $12.3 = $94.3

Answer and ill mark u as brainlist with an explaination

Answers

Answer:

d

Step-by-step explanation:

Triangle ABC has coordinates A(2, -5), B(1, -3), and C(6, 1). If the triangle is rotated 90° counterclockwise about the origin, what are the coordinates of A'?

Answers

Answer:

A(5,2)

Step-by-step explanation:

A 90 degree rotation counterclockwise is

(x , y) -> (-y , x)

Therefore the coordinates of A changes from

A(2 , -5) to A(-(-5) , 2)

A(5,2)

solve 7(3-y)=5(y+5).​

Answers

Answer:

-1/3

Step-by-step explanation:

21-7y=5y+25

12y=-4

y=-1/3

answer : -1/3

........

is 4 1/4 rational or irrational

Answers

Rational my guy. Hope you pass ur exams

Answer:

The number 14 is a fraction, and fractions are ratios, and ratios are ratio-nal numbers!

Consider the equation y=4x + 2. Write three ordered pairs that would be in the table of values.

Answers

Answer:

Step-by-step explanation:

(0,2) (1,6) (2,10) are the three ordered pairs

The burglar has been leaving behind the ladder he or she uses to climb into the houses' windows. With this evidence, you can find out from which store the burglar is purchasing the ladders. Store A only sells ladders that are between 25 feet and 30 feet tall. Store B only sells ladders that are between 20 feet and 28 feet tall.

Using the diagrams below, determine the length of the ladders and deduce where the burglar buys the ladders.

Answers

Answer

I think its store B

Step-by-step explanation:

Im checking my answers for this question and im wondering if im correct or not

Answers

Answer and step-by-step explanation:

Checking what you've done, the first two images you've shown have the correct matching. But the last two are wrong. Reason being:

For the third mage, the table suggests that all the points are on the positive part of the y-axis, this means the curve should open upwards not downwards.

For the last image, the table suggests that the points are on the negative part of the y–axis except (0, 1). This means the curve should open downwards not upwards.

The table in the third image should match the graph in the last image and the table in the last image should match the graph in the third image.

Answer:

oh i had the same question so thanks to the guy who answered

Step-by-step explanation:

PLEASE HELP!! WILL GIVE BRAINLIEST!!!

Answers

Answer:

120

Step-by-step explanation:

GIVE ME THE BRAINLEST POINTS NOW

Answer:

x = 120

Step-by-step explanation:

All three angles are marked as equal. There are two ways to find x.

Method one

Find the supplement to x

Let the supplement to x be y

y + y + y = 180

3y = 180                 Divide by 3

y = 180/3

y = 60

=================

A straight line has an angle of 180 degrees.

x + y = 180             Substitute y = 60 into the equation

x + 60 = 180          Subtract 60

x = 180 - 60

x = 120

Method 2

The two angles not connect to x are called remote interior angles. These two angles are equal to x.

x = 60 + 60

x = 120

Max a passé 10% de sa journée à jouer à la console

Answers

Do you have a picture

Evaluate I5| - |-5|.

Answers

Answer:

| 5 | - | -5 | = 0

Step-by-step explanation:

For this problem, the absolute value operator creates the positive value of whatever is contained in it.

This expression can be rewritten as follows:

| 5 | - | -5 |

= 5 - 5

= 0

Hence, the expression simplifies to 0.

Cheers.

Answer:

0

Step-by-step explanation:

This is the answer because:

1) I  I = Absolute Value

Absolute Value means that whatever number is inside it, is positive.

2) The I-5I = 5:

5 - 5 = 0

Therefore, the answer is 0.

Hope this helps! :D

Are you in the mood to save a life? if your answer is yes you are in the right place.
PLSSSSSSSSSSSSSSSSSSSSSSSS HELPPPP
Could a design be both translational and glide reflectional symmetry? Explain why or why not.

thank you

Answers

Answer:

i think ye

Step-by-step explanation:

because symmetry and wikepedia says yes

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