There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number. That smallest is 12,345 and the largest is 54,321. If these 120 numbers are listed in order from smallest to largest, what is the 73rd number in the list?

Answers

Answer 1

Answer:

41235

Step-by-step explanation:

There are 120 five-digit numbers that can be made from the digits 1, 2, 3, 4, 5 if each digit is used once in the number,

The total number of times where each number will occur or be at first place is calculated as:

4! = 4 × 3 × 2 × 1

= 24

Hence,

24th number = The last number where 1 is at first place

We can write this out as:

12345

12354

12435

12453

12534

12543

13245

13254

13425

13452

13524

13542 e.t.c.

48th number = The last number where 2 is at first place

72nd place = The last number where 3 is at first place.

This means, the 73rd number is the first number where 4 is at first place.

Therefore, the 73rd number based on pattern is 41235


Related Questions

Which expression is equivalent to the one below? 6÷9 A. 9.1/6 B. 6.1/9 C. 54 D. 9/6​

Answers

Answer:

None

Step-by-step explanation:

6÷9=0.666...

9.1÷6=1.5166..

6.1÷9=0.6777...

54 is 54

9÷6=1.5

So none are equal

Answer:

the answer is 6 × 1/9

Step-by-step explanation:

6÷ 9 = 0.666

9 × 1/6 = 1 1/2

6 × 1/9 = 2/3 same as 0.666

54 = 54

9/6 = 1.5

Given y varies inversely as x, and y = 5 when x = 9. Write the inverse function

Answers

Answer:

y = 45/x

Step-by-step explanation:

Given y varies inversely as x, then;

y = k/x

If y = 5 when x = 9

5 = k/9

k = 5*9

k = 45

Substitute into the formula above;

y = k/x

y = 45/x

Hence the required inverse function is y = 45/x

WILL GIVE BRAINLIEST! HELP ASAP!

The solution to an inequality is x < 3.5. Which of the following statements and graphs are true? Select all that apply.

Answers

Answer:

any nuber less then 3.5  and 5th awnser

Step-by-step explanation:

x is less then 3.5 so any    number less then 3.5

5th one is true too because you can go into negitves  and tehre is are infanite negitives

Answer:

The following statements and graphs are true:

x < 3.5

Any number that is less than 3.5 is a solution.

There are an infinite number of solutions.

The statement "x ≤ 3.5" is not true because the original inequality states that x is strictly less than 3.5, not less than or equal to 3.5. The statement "Any number that is greater than 3.5 is a solution" is also not true for the same reason. Finally, 3.5 is not a solution to the inequality because the inequality is strict: it only includes values of x that are strictly less than 3.5.

________________________________________________________

What is the difference between strict and non-strict inequalities?

The difference between strict and non-strict inequalities is that strict inequalities use "<" or ">" symbols, which exclude the boundary values, while non-strict inequalities use "≤" or "≥" symbols, which include the boundary values.

For example, the inequality x < 5 is a strict inequality, which means that x can be any number less than 5, but it cannot be 5 itself. On the other hand, the inequality x ≤ 5 is a non-strict inequality, which means that x can be any number less than or equal to 5.

Similarly, the inequality y > -3 is a strict inequality, which means that y can be any number greater than -3, but it cannot be -3 itself. The inequality y ≥ -3 is a non-strict inequality, which means that y can be any number greater than or equal to -3.

What are some real-life applications of inequalities, and how are they used in various fields of study?

Inequalities are used in a variety of real-life applications, including:

Business and economics: Inequalities are used to represent constraints in optimization problems, such as maximizing profits subject to resource limitations.

Engineering and physics: Inequalities are used to represent physical constraints, such as maximum and minimum values for quantities like speed, acceleration, and force.

Health and social sciences: Inequalities are used to represent inequalities in health outcomes and access to healthcare, as well as social inequalities related to income, education, and other factors.

Computer science and optimization: Inequalities are used to represent constraints in optimization problems, such as scheduling, routing, and allocation of resources.

Probability and statistics: Inequalities are used to bound the probability of events and to represent relationships between random variables.

Inequalities are also used in various fields of mathematics, including algebra, geometry, and analysis. They are important tools for proving theorems and solving problems in these areas.

HELP ASASP ITS 6Th GRADE MATH

Answers

Answer:

We are learning this in 7th grade lol how did you get 7th grade math to 6th grade math

State six ordered pairs for this function.
F(x) = x2 +14x+45

Answers

i only could look up three but here:
(
0
,
45
)
,
(
1
,
60
)
,
(
2
,
77
)

3. in Figure 1, which of the following guarantees that alb?
A 2127
t
B. 325
C. 24 25
1 2
3 4
D. 24 27
5/6
78
Figure 1

Answers

pakii Ayus po

Step-by-step explanation:

favsywuwinswyuqoqpwieygsbsnwjqkqkhzvshqjqkjwhegwy

14. Twelve more than seven times a number equals the number less six

Answers

Answer:

The number is -3.

Step-by-step explanation:

Set up an equation:

Variable n = number

12 + 7n = n - 6

Assuming the question is solve for n, isolate the variable:

Subtract n from both sides:

12 + 6n = -6

Subtract 12 from both sides:

6n = -18

Divide by 6 on both sides:

n = -3

Check your work:

12 + 7(-3) = -3 - 6

12 - 21 = -3 - 6

-9 = -9

Correct

12+7n=n-6
12+6n=-6
6n=-18
n=-3

Find the dividend if quotient is x–3, remainder is 7x–9 and divisor is x^2-2​

Answers

Answer:

[tex]\implies Dividend = x^3-3x^2+4x-3[/tex]

Step-by-step explanation:

Given :-

Quotient is x–3, remainder is 7x–9 and divisor is x^2-2 .

And we need to find out the Dividend. We know that ,

[tex]\implies Dividend = Quotient\times Divisor + Remainder [/tex]

Substituting the respective values :-

[tex]\implies Dividend = (x-3)(x^2-2)+7x-9 \\\\\implies Dividend = x^3-2x-3x^2+6+7x-9 \\\\\implies Dividend = x^3-3x^2+4x-3[/tex]

mDE = 128 and mBC = 63. Find mZA. (The figure is not drawn to scale.)​

Answers

Answer:

The angle formed by the intersection of 2 secants could be found out as: 1/2 (Arc DE - arc BC)

mDE = 128

mBC = 63

=> 1/2 (128 - 63)

=> 32.5 = mZA

Hope this helps!

3x+2y=12 2x-3y=21 elimination please solve with answer and steps

Answers

Answer:

(6,-3)

or

x=6 y= -3

Step-by-step explanation:

Taking a quick look at this question we notice that we simply cannot add/subtract the two equations and eliminate a variable

What we can do is mulitply an equation to make the above true

let's try to get the first equation to have a 3y, and we can do this by multiplying it by 1.5 (this is legal because we do it to both sides)

So our new first equation is

1.5(3x+2y)=12*1.5

which simplifies to

4.5x+3y=18

We then add the two equatiosn

(4.5x+3y)+(2x-3y)=18+21

6.5x=39

x=6

Now that we know x we can plug that in and solve for y

3(6)+2y=12

18+2y=12

-6=2y

y= -3

Can somebody help me out my grade are bad

Answers

Answer:

just use the photo math app it scans your math problem and it solves it for you and it gives you step by step and explanation

Step-by-step explanation:

go to the Play store then you download the app or wherever you get your apps and then I can't remember from there you might have to create account but it's super easy all you have to do is take a picture and it'll scan it but make sure it's clear it's really easy and it's free photo math is the best

X=40
Triangles have a sum total of 180 . Do first add 79 and 61= 140. Then 180-140 =40

Alyssa is getting gas for her car. Her car's 15-gallon tank has 15 of a tank of gas left. If gas costs $2.699 per gallon, how much will she pay for gas, rounded to the nearest cent?

Answers

Answer: $32.39

Step-by-step explanation:

The car's tank has a capacity of 15 gallons and has only 1/5 of a tank left which means that the quantity left is:

= 1/5 * 15

= 3 gallons

If Ayssa is going to fill up the tank, the number of gallons needed is:

= 15 - 3

= 12 gallons

Gas is $2.699 per gallon so cost is:

= 12 * 2.699

= $32.39

Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

Step-by-step explanation:

P = £1100

r = 5%

t = 6 years

I =P*r*t

[tex]I =1100*\frac{5}{100}*6\\\\I=11*5*6\\\\I = 330[/tex]

Amount = P + I = 1100 + 330 = £1430

What is x if all three sides combined is 180? Pls help

Answers

Answer:

x= 52°

Step-by-step explanation:

comment if u need explanation :)

Answer:

x=52

Step-by-step explanation:

Set it up 2x+28+x-4=180

Combine like terms

3x+24=180

Subtract 24 from both sides

3x=156

Divide 3 from both sides

x=52

Hope this helps

Brainliest would be appreciated

Someone help me out with this

Answers

Answer:

4x = 20

x = 5

Step-by-step explanation:

Have a nice day!

Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution. Find the percent concentration of the first solution. (a) 70% (b) 61% (c) 69% (d) 67%

Answers

Answer:

67%

Step-by-step explanation:

Let the percentage of the first solution = x

7 gallons + 4 gallons = 11 gallons

Our system of equation is

Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution.

7 gallons × x % + 4 gallons × 80% = 72% × 11 gallons

= 7x + 3.2 = 7.92

Collect like terms

7x = 7.92 - 3.2

7x = 4.72

x = 4.72/7

x = 0.6742857143

Converting to percentage

0.6742857143 × 100

= 67.42857143%

Approximately, the percent concentration of the first solution is 67%

Help me please |7-11|=

Answers

Answer:

-4

Step-by-step explanation:

7- 11= -4

Answer:

4, 7-11=-4, but absolute value cant be negative

Step-by-step explanation:

- 7th Grade Work -

A bagel shop offers a mug filled with coffee for $7.75, with each refill costing $1.25. Kendra spent $31.50 on the mug and refills last month. How many refills did Kendra buy?

Answers

Answer:

19

Step-by-step explanation:

hope this helps with the problem

I need Help! Please help I really don’t know how to anwser it no links will report I really need help will make brainliest :(

Answers

Answer:

16/50 or 8/25

Step-by-step explanation:

Good luck. Hope you get a good grade

ace please help

plss​

Answers

Answer: C $25

HOPE THIS HELPS

PLEASE HELP! ( no random links ) correct answers please. Find median

Answers

Answer:

2

:) hope it helped!

What’s is an equation of the Parallel line to y= -x+1 and through (4,4)

Answers

Answer:

y = -x + 8

Step-by-step explanation:

Parallel lines are two lines that have the same plane and slope but never intersect.

Here is a pattern made from sticks:
a)
How many sticks would be in pattern number 6?
b)
How many sticks would be in pattern number n?

Answers

Answer: 2, 5

Step-by-step explanation:yes

Divide the difference of 50 and 10 by the sum of 3 and 2. what expression represents the statement?

Answers

Answer:

(50-10) ÷ (3+2)

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

E

What are the solutions of the equation 3x^2 +13x=10 ?

Answers

X= 2/3 and negative 5

Find the length of the missing leg of a right triangle given a leg of length 60 and a hypotenuse of length 61

Answers

Answer:

11 units

Step-by-step explanation:

61² - 60² = x²

3721 - 3600 = 121

√121 = 11

How do you do this?
Find M

Answers

Answer:

Step-by-step explanation:

Let angle ABZ be angle 1 and angle ZBC be angle 2.

Angle 1 = 85 degree

Angle 2 = 6x + 9

measure of angle ABC = 24x+4

Angle 2 = ABC - 85

6x + 9 = 24x + 4 - 85

6x - 24x = 4 - 85 - 9

-18x = -90

x = -90/-18 = 90/18 =

x = 5

Therefore the measure of angle 2 = 6*5 + 9 = 30+9 = 39 degree

Therefore the measure of angle ZBC = 39 degree

Hope you understand

Please mark as brainliest

Thank You

Help me plssssssssssss.

Answers

Answer:

5

Step-by-step explanation:

5———————————————————-

(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !

Answers

Answer:

11 2/9.

Step-by-step explanation:

1 8/9 + 9 1/3

= (1 + 9) + (8/9 + 1/3)

= 10 + (8/9 + 1/3)

8/9 + 1/3:

LCD of 3 and 9 is 9 so we have:

8/9 + 3/9 = 11/9

11/9 = 1 2/9

Answer = 10 + 1 2/9

= 11 2/9.

Answer:

[tex]11\frac{2}{9}[/tex]

Step-by-step explanation:

[tex]1\frac{8}{9} +9\frac{1}{3}=1\frac{24}{27} +9\frac{9}{27} =10\frac{33}{27} =11\frac{6}{27}=11\frac{2}{9}[/tex]

_5) How does the “x + 1" affect the graph in the equation: y = } • (4)*+1 – 37
A) Left 1
B) Right 1
C) Up 1
D) Down 1

Answers

Answer:

immma send you the link friend me on here Step-by-step explanation:

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