Does 23^-1 (mod 1000) exist? If yes solve it.

Answers

Answer 1

Yes, 23 has an inverse mod 1000 because gcd(23, 1000) = 1 (i.e. they are coprime).

Let x be the inverse. Then x is such that

23x ≡ 1 (mod 1000)

Use the Euclidean algorithm to solve for x :

1000 = 43×23 + 11

23 = 2×11 + 1

→   1 ≡ 23 - 2×11   (mod 1000)

→   1 ≡ 23 - 2×(1000 - 43×23)   (mod 1000)

→   1 ≡ 23 - 2×1000 + 86×23   (mod 1000)

→   1 ≡ 87×23 - 2×1000 ≡ 87×23   (mod 1000)

→   23⁻¹ ≡ 87   (mod 1000)


Related Questions

My Someone please explain why G is 125 and H is 62!
guaranteed brainliest to the first correct answer!

Answers

i don’t know why but i’m first so pleaseeee

Step By Step Explanation:

table below shows the number of miles run each day of the week. Which list shows the number of miles

run in order from least to greatest?



Monday, Thursday, Wednesday, Tuesday
Monday, Thursday, Wednesday, Tuesday

Thursday, Tuesday, Wednesday, Monday
Thursday, Tuesday, Wednesday, Monday

Monday, Wednesday, Tuesday, Thursday
Monday, Wednesday, Tuesday, Thursday

Tuesday, Monday, Wednesday, Thursday

Answers

Answer:

monday wednesday tuesday thursday

Step-by-step explanation:

edge 2020

Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.

What is Fraction?

A fraction represents a part of a whole.

Monday = [tex]3\frac{1}{3}[/tex]

Convert mixed fraction to improper 10/3

Decimal value 3.33

Tuesday = [tex]3\frac{2}{5}[/tex]

The improper fraction is 17/5

Decimal value 3.4

Wednesday = [tex]3\frac{3}{8}[/tex]

The improper fraction is 27/8

Decimal 3.375

Thursday = [tex]3\frac{1}{2}[/tex]

The improper fraction is 7/2 which is 3.5

Hence, Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.

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Please help this is due today.

Answers

Answer:

[tex]b = 90[/tex]

[tex]c=80[/tex]

[tex]d =100[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find b, c and d

First, we solve for b using:

[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram

Collect like terms

[tex]b + b =180+10-10[/tex]

[tex]2b = 180[/tex]

Solve for b

[tex]b = 180/2[/tex]

[tex]b = 90[/tex]

Then, we have:

[tex]d =b + 10[/tex]

[tex]c = b - 10[/tex] --- opposite angles

So, we have:

[tex]d =90 + 10[/tex]

[tex]d =100[/tex]

[tex]c = 90 - 10[/tex]

[tex]c=80[/tex]

What is the value of x in this octagon?
Enter your answer in the box.

Answers

Answer: 166 degrees

Step-by-step explanation:

An octagon has 1080 degrees in it. So just subtract all of the angles out of 1080.

1080-104-126-163-130-131-107-153= 166

ANSWER: 166 degrees

Answer:

166 degrees

Step-by-step explanation:

in an octagon, there are a total of 1080 degrees,

so we take all of the degrees we do know, and subtract them from 1,080 degrees! --- (1080-104-126-163-130-131-107-153= 166)

we end up with 166 degrees! :)

hope this helped!

T
100. The number of ash trees on a tree farm is 5
times the number of pine trees. Choose one
expression from each column to creae an
equation that compares the number of ash trees
(a) and pine trees (p),

Answers

Answer :-

a = 5p

Option 3 from 1st column and option 2 from 2nd column

GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)

Answers

5/12

we use pythag to find the missing side length

hope this helps :D

Find the area of each parallelogram

Please help with these thank you

Answers

A=8
B=10

Hope this helps :D

HELPPPPPPPPPPPPPPPPPPPPPP PLEASEEE...................................

Answers

Answer: (4,5)

Step-by-step explanation:

Anything less than 4 and 5, would be equal to or less than 4

Answer:

4, 5

Step-by-step explanation:

A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Kentucky using Interstate 75. Let us assume that the probability of no traffic delay in one period, given no traffic delay in the preceding period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.75. Traffic is classified as having either a delay or a no-delay state, and the period considered is 30 minutes.
a. Assume that you are a motorist entering the traffic system and receive a radio report of a traffic delay. What is the probability that for the next 60 minutes (two time periods) the system will be in the delay state? Note that this result is the probability of being in the delay state for two consecutive periods. If required, round your answer to three decimal places.
b. What is the probability that in the long run the traffic will not be in the delay state? If required, round your answers to three decimal places.

Answers

Answer:

a. 0.563 = 56.3% probability that for the next 60 minutes (two time periods) the system will be in the delay state.

b. 0.625 = 62.5% probability that in the long run the traffic will not be in the delay state

Step-by-step explanation:

Question a:

The probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.75.

The system currently is in traffic delay, so for the next time period, 0.75 probability of a traffic delay. If the next period is in a traffic delay, the following period will also have a 0.75 probability of a traffic delay. So

0.75*0.75 = 0.563

0.563 = 56.3% probability that for the next 60 minutes (two time periods) the system will be in the delay state.

b. What is the probability that in the long run the traffic will not be in the delay state? If required, round your answers to three decimal places.

If it doesn't have a delay, 85% probability of continuing without a delay.

If it has a delay, 75% probability of continuing with a delay.

So, for the long run:

x: current state

85% probability of no delay if x is in no delay, 100 - 75 = 25% if x is in delay(1-x). So

[tex]0.85x + 0.25(1 - x) = x[/tex]

[tex]0.6x + 0.25 = x[/tex]

[tex]0.4x = 0.25[/tex]

[tex]x = \frac{0.25}{0.4}[/tex]

[tex]x = 0.625[/tex]

0.625 = 62.5% probability that in the long run the traffic will not be in the delay state

the following data points represent the number of spots on each giraffe that lives in the Curran plains find the median 174,226,236,231,203,185,194,221,197 find the median

Answers

The required median number of spots on giraffes in the Curran plains is 203.

What is Median?

A data set's median value is the place where 50% of the data points have values that are lower or equal to it, and 50% of the data points have values that are higher or equal to it. To organize the data points in increasing order for a small data set, count the number of data points (n).

According to question:

To find the median, we need to first sort the data points in ascending order:

174, 185, 194, 197, 203, 221, 226, 231, 236

Since there are an odd number of data points, the median is the middle value, which in this case is 203.

Therefore, the median number of spots on giraffes in the Curran plains is 203

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2x=6 how do I answer this?

Answers

Find x.

2x/2=x 6/2=3

x=3

Answer:

x=3

Step-by-step explanation:

you have to leave the x alone you do divide so it will be like this x=6/2 since you can reduse them it will be x=3

I WILL MARK BRAINLIEST

Answers

Answer:

-6, -5, -4, -3, and -2

n≥-6

Step-by-step explanation:

Multiply both sides by 2

n≥-6

so the values that make this true are -6, -5, -4, -3, and -2

Simplify the following expression.
-20 + (-15)
O A 5
OB. -35
O C.
-5
OD. 35
Reset
Submit

Answers

Answer:

B) -35

Step-by-step explanation:

-20+(-15)

as taught when there is a minus and plus sign together it becomes a minus sign automatically (+ -)= -

Therefore -20+(-15)

will be -20-15 which gives you -35

PLEASE HELP ME WITH THIS

Answers

Opposite angles inscribed in a cyclic quadrilateral are supplementary, so:

[tex]m\angle R+m\angle T=180^{\circ}\\\\m\angle R+47^{\circ}=180^{\circ}\\\\m\angle R=\boxed{133^{\circ}}[/tex]


124 oz =
Ib
I need help

Answers

124 oz=7.75 pounds
i hope this helps !

Answer:

7.75

Step-by-step explanation:

Remember, 1 ounce equals 0.0625 pounds.

Multiply 124 x 0.0625 to get you answer.

Hope this helps,If you have any questions revolving around this topic,feel free to ask me,Good luck!

Find the measure of 46.
46 = [?]
24°
46

Answers

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

Same side interior angles are supplementary

<6+24=180<6=180-24<6=156°

16. Kim spends 10 minutes washing her car. Denzel spends 3 times as many minutes (d)
washing his car as Kim spends.
Part A
Which equation can be used to find how many minutes Denzel spends washing
his car?
A.
10 + 3 = d
B.
10 3 = d
C.
10- 3 = d
D. 10 = 3 = d

Answers

Answer:

B

Step-by-step explanation:

10x3= 30

because kim spends 10 min washing her car, and Denzel spends 3 x as a many washing his car.

so you do 10 x 3 = 30

The equation that represents the time Denzel spends is d = 10×3.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, Kim spends 10 minutes washing her car and Denzel spends 3 times as many minutes (d) washing his car as Kim spends.

∴ The equation that represents the time Denzel spends is d = 10×3.

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Kerry puts pennies into a jar every day. On the first day, she puts 2 pennies into the jar. On the second day, she adds double the number of pennies she put into the jar on the first day. On the third day, she adds double the number of pennies she put into the jar on the second day. This pattern follows for a week.

Answers

Answer:

By the end of the week she will have 254 pennies and she will put 128 pennies for the last day

Answer correctly please:)

Answers

Answer:

5

Step-by-step explanation:

I am not sure if you are aware of this and I am sure you will be able to get a good one

Answer:

Distance AB = √74 units is the answer.

Step-by-step explanation:

(-3,4) and (2,-3)

distance between two points,

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\d = \sqrt{(2-(-3))^2 + (-3-4)^2}\\\\d = \sqrt{(5)^2 + (-7)^2}\\\\d = \sqrt{25+49}\\\\d = \sqrt{74}[/tex]

∴ distance between A(-3,4) and B(2,-3) is √74 units.

7 students have 5 blocks each. Which helps you find the total number of blocks? 7 - 5 7 ÷ 5 7 × 5 7 + 5

Answers

Answer:

7 X 5

You use multiplacation to find the total number of blocks

(NO LINKS)

Please help this assignment is over due and I don't get it thx;)

Answers

Answer: m=6

Step-by-step explanation:

Divide both sides by 3.4

3.4m/3.4 and 20.4/3.4

Answer: m=6


Explanation: you would divide 20.4 by 3.4 and you would get 6

Assume that 75 was the mean test score on an exam, with a standard deviation of 4 points.
What percent had scores between 67 and 75? Use the % symbol in your answer.

Answers

Answer:

68%

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 75, standard deviation of 4.

What percent had scores between 67 and 75?

67 = 71 - 4

75 = 71 + 4

Within 1 standard deviation of the mean, so, by the Empirical Rule, 68%.

What is a number c decreased by 15?
(Only people who are going to answer the question truly are only allowed to comment)

Answers

Answer:

C - 15

Step-by-step explanation:

"Decreased by" means subtraction. We are subtracting 15 from C so the answer is C - 15. Hope this helpssss

Number rule
equation to fit the pattern x 24 32 40 48 and y 6 8 10 12

Answers

Answer:

y = 1/4(x)

Step-by-step explanation:

Given the equation:

x 24 32 40 48

y 6 8 10 12

The slope = (y2 - y1) / (x2 - x1)

Slope = (12 - 6) / (48 - 24)

Slope = 6 / 24

Slope = 1 / 4

The slope intercept relation is expressed thus :

y = mx + c

m = slope ; c = intercept

Picking a point :

x = 32, y = 8

8 = 1/4(32) + c

8 = 8 + c

c = 0

Hence, the fit pattern for the equation is :

y = 1/4(x)

A classroom floor has a perimeter of 132 feet. What is the perimeter in
yards?

Answers

Answer:

44 yards

Step-by-step explanation:

Formula :

divide the length value by 3

A cylindrical storage tank has a depth of 5 ft and a radius measuring 3 ft. The tank needs to be painted. If 1 pint of paint covers 50 ft2 and you can only purchase full pints of paint, how many pints must be purchased to paint the exterior of the storage tank? (Use your calculator value of . Round your answer up to the nearest whole number.)

Answers

Answer:

4 pints

Step-by-step explanation:

Well to figure this one out we need the surface area of the cylinder

The formula is :  SA=2πrh+2πr^2

Don't worry about memorizing most of these formula's except the basic ones  for Surface area and Volume in a test the formula's will be given but I do recommend practicing them

Any way lets keep going

Depth of 5ft basically means 5ft in height (to let you know)

2*pi*3*5+2*pi*3^2

SA=150.796447372 ft^2  rounded is basically 151

any way we know one pint paints 50 ft^2

so  151/50 is 3 remainder 1 so you will need 4 pints except you will barley use 1 pint


your friend finds the area of the triangle..

is you friend correct?

yes or no

explain your reasoning

!NO LINKS, NO FILES!

please :)

Answers

The friend is correct

Choose the equation where b=6 is a solution. 11- b = 6 b + 4 = 9 8b = 48 63 b = 9

Answers

Answer:

8b = 48

Step-by-step explanation:

this is because you would substitute the b for the 6 and then multiply straight across giving you a total of 48.

Answer:

8b = 48

Step-by-step explanation:

8 x 6 = 48

Participants in a behavior study randomly select an identification bracelet from a basket. There are a total of 54 bracelets in the basket. There are 12 pink, 9 orange, 6 green and 27 blue. If all the bracelets were used, about what percent of the participants ended up with orange bracelets?

Answers

Answer:

About 16.67% of the participants ended up with orange bracelets.

Step-by-step explanation:

The percentage of orange bracelets is given by the number of orange bracelets multiplied by 100% and divided by the total number of bracelets.

In this question:

Total of 54 bracelets.

9 orange.

So

9*100%/54 = 16.67%

About 16.67% of the participants ended up with orange bracelets.

A dance studio is offering a ballroom dancing class. In order for the class to be held, a minimum of 20 people must sign up to take the class. The studio ballroom can accommodate up to 60 people at a time. Which inequality graph models the number of individuals that can be in the class?​

Answers

Answer:

B.

Step-by-step explanation:

The dance studio can have between 20 and 60 people. The holes are closed be 20 and 60 are included

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