show that 937 is an inverse of 13 modulo 2436

Answers

Answer 1

By adding or subtracting multiples of 2436 to 12181, we eventually arrive at 937 with a remainder of 1. This confirms that 937 is indeed an inverse of 13 modulo 2436.

To show that 937 is an inverse of 13 modulo 2436, we need to demonstrate that 937 and 13 satisfy the definition of inverse modulo.

By definition, two integers a and b are inverses modulo m if their product is congruent to 1 modulo m. In other words, if a * b is congruent to 1 (mod m).

Let's apply this definition to the given problem. We want to show that 937 is an inverse of 13 modulo 2436.

First, we can confirm that 13 and 2436 are relatively prime since they do not share any common factors. This is a necessary condition for an inverse modulo to exist.

Next, we can compute the product of 13 and 937:

13 * 937 = 12181

To check if this is congruent to 1 modulo 2436, we can divide 12181 by 2436 and see if the remainder is 1.

12181 / 2436 = 4 remainder 137

Since the remainder is not 1, we need to adjust our calculation. We can add or subtract multiples of 2436 to 12181 until we get a remainder of 1.

12181 - 4 * 2436 = 437

437 - 2436 = -1999

-1999 + 3 * 2436 = 3151

3151 - 3 * 2436 = -7145

-7145 + 4 * 2436 = 937

We can see that by adding or subtracting multiples of 2436 to 12181, we eventually arrive at 937 with a remainder of 1. This confirms that 937 is indeed an inverse of 13 modulo 2436.

In conclusion, we have shown that 937 is an inverse of 13 modulo 2436 by demonstrating that their product is congruent to 1 modulo 2436. This computation involved adding or subtracting multiples of 2436 to reach a remainder of 1.

Learn more on inverse modulo here:

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Related Questions

Solve for x . Round to the nearest 100th if needed.
11/ x + 18 = 34

Answers

Answer:

x = 0.69

Step-by-step explanation:

11/x + 18 = 34

11/x = 16

11 = 16x

x = 0.6875 = 0.69

Divide 600 kg into 2 boxes so that one box has twice as much in it as the other box. How
much is in the heavier box?
Help please

Answers

Answer:

200 box 1 / 400 box 2

box 2 Step-by-step explanation:

200 + 400 = 600

Answer:

Hello asuna here

600 would be your answer

Step-by-step explanation:

Hope this helps

Four students are reading books with different numbers of pages. The table shows the number of pages each student has read. Drag each name to order the students from the lowest percentage of their book read to the highest percentage of their book read. Pages Read Total Number of Pages Elliot 105 175 = Elliot Frankie 165 300 Hayden 88 220 = Frankie Ruth 117 260 = Hayden = Ruth​

Answers

Answer:

i think is 434.54

Step-by-step explanation:

Answer:

434.54

Step-by-step explanation:

What is the area of an isosceles triangle with side lengths of 22 and 66

Answers

Answer:

726

Step-by-step explanation:

66*22/2=726

I need help with math here is the problem 3(2x+6)

Answers

Answer:

6x+18

Step-by-step explanation:

Step-by-step explanation:

Distribute the 3 to the 2X and 6:

3 x 2X + 6 x 3 = (3 x 2)X + 18 = 6X +18

‍ ‍ ‍ ‍



‍ ‍ ‍ ‍ ‍

Answers

Answer:

Step-by-step explanation:

A,B and D

PLEASE HELP ASAP! What is the slope of the line graphed below?

Answers

answer: the slope is 2 (D)

Answer:

6/3 simply so 2 your slope is 2

Step-by-step explanation:

What is the answer to 10x2x5%20

Answers

I’m pretty sure 20 tell me if I’m wrong

Answer:

ITS 0

Step-by-step explanation:

6 Work out the sizes of the angles labelled rº, sº and tº.
Plzzzz help I suck at geometry

Answers

Answer:

t = 30

s = 25

r = 55

Step-by-step explanation:

Let's begin by r

r is angle in quadlitral shape, so the sum of the interior angles = 360

r = 360 - (95 +100+110) = 55

Then Now it's time for  ( t )

Look at the triangle whose angles are r, 95 and t. The sum of the measures of the interior angles of triangle is 180

so t = 180 - ( 95 + r) = 180 - (95 + 55) = 30

Similarly, look at the triangle whose angles are r, s and 100

s = 180 - (100 + r) = 180 - (100 + 55) = 25

I hope you find this helpful! If you have any questions, please feel free to ask them in the comments

Solve the equation.

-5(x+3)=20

Answers

Answer: x= -7

Step-by-step explanation:

-5 (x+3) =20

Divide both sides by -5:

-5(x+3)/ -5 = 20/-5

Simplify:

x+3= -4

Subtract 3 from both sides:

x+3-3 + -4-3

Simplify:

x= -7

Distribute the -5.
Add 15 to both sides
Divide by -5.

need help to find X
thank you

Answers

Answer:

121

Step-by-step explanation:

Answer:

63.33 or 190/3

Step-by-step explanation:

1. vertical opposite angles are equal

2. corresponding angles some up to 180°

=> 3x - 20 + 10 = 180

=> 3x = 180+10

=> 3x = 190

=> x = 190/3

=> x = 63.333333333333333

A delivery truck has 40,000 miles on its odometer and travels an average of 22,000 miles per year.

Which function best models the linear relationship?

y = 22,000x − 40,000
y = –22,000x + 40,000
y = 22,000x + 40,000
y = 40,000x − 22,000

Answers

Answer:

Since the truck adds 22,000 PER YEAR, this would be the number we multiply by the variable depending on how many years they are calculating for. So we have y = 22,000x

The truck already has 40,000 miles on it so it s STARTING at 40,000, this is our y-intercept, or b.

Now we have y = 22,000x + 40,000

The shadows of two vertical poles were measured at the same time to be 6m and 15m long. If the first pole is 8cm long, find the height of the second pole

Answers

Answer:

20 cm

Step-by-step explanation:

Shadow of vertical poles : 6m ; 15m

Length of poles : 8cm ; h

8cm long pole = shadow length, 6m

h cm long pole = shadow length, 15 m

Using cross multiplication :

8cm * 15 m = h cm * 6m

120 = 6h

h = 120 / 6

h = 20 cm

Height of second pole = 20cm

Need help ASAP giving 55 points and a branlist

Answers

Answer:

There are 54 squares on a rubix cube

Step-by-step explanation:

each side has 9 squares, and there are 6 sides, so you multiply 9x6 wich equals 54, so your answer would be

54 squares

Hope this helps! :)

The sale price of an item is Rs 176. If a discount of 20% is allowed on its Marked price, what is the marked price of the item

Answers

Answer: $140.80

Step-by-step explanation:

Original price = Rs. 176.

Marked price has discount that is 20% lower than the above.

= 20% * 176

= $35.20

Marked price = Sales price - discount

= 176 - 35.20

= $140.80

15) Dan is putting a fence around his circular swimming pool. If the pool
has a diameter of 13.5 feet and fencing costs $6 per foot, how much will
he spend?

Answers

Answer: 2

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

You have to divide 13.5 and 6 to get your answer

Hello! I'm gettin' rekt right now, and I need help.
1st Question: How do you find the average of a number on a number line?
2nd Question: How do you find the average of 2 numbers on a number line?

Answers

Answer:

Step-by-step explanation:

Hm. I'm not sure what your asking, but I'll try my best.

To find an average, you would add all the numbers up, and then divide how many numbers there are.

Let me explain: If you wanted to find a average on a number line, that means you want to find one number on the number line. On this case, you would just take the number on the number line, and then divide it by 1.

2nd question: This question is the same as the first, except theres two numbers now, instead of 1. For this one, you would add up the 2 numbers, and then divide it by 2.

Hope this helps!

Solve for a.

6a−15=72

A.12
B.27
C.14 1/2
D.9 1/2

Answers

The answer is 14.5 or 14 1/2. This is done by

6a-15=72
add 15 to both sides
6a = 87
Divide 6
a = 14.5

Answer:C

Step-by-step explanation:

helpppp meeeee pleaseeeeeeeeee

Answers

a^2 + 9 = 36 now solve subtract 9 from both sides to get a^2 = 27 then find the square root of 27 and that should be your answer so like 5.196 something
You have to use the Pythagorean theorem to solve for the missing side. Here’s the work shown! Hope this helps!

car covers x plus 2 kilometre in 1 litre how much distance it will covers in Y litres​

Answers

Answer:

y km = (x+2)y km

Step-by-step explanation:

Given that,

A car covers (x+2) kilometre in 1 litre.

We need to find the distance it will cover in y litres.

1 litre = (x+2) km

y km = (x+2)y km

Hence, it will cover (x+2)y km in y litres.

Please help! The ritio of two houses is 4:3 and the cost of the second hose is ₹4,20,000 . lets find the cost of the first house . If the cost of the first house was ₹70,000 more , then lets find the ratio of their cost .​

Answers

Answer:

[tex]First~condition:\\Suppose~that~the~first~house~costs~4x~and~the~second~house~costs~3x.\\Given,~Cost~of~the~second~house=Rs. 420000\\or, 3x=Rs. 420000\\or, x = Rs. 140000\\Cost~of~the~first~house=4x= 4(140000) = Rs. 560000\\So, ~the~cost~of~first~house~is~Rs.560000\\Second~part:\\Now,~the~cost~of~the~first~house = Rs.(560000+70000) = Rs. 630000\\But,~the~cost~of~second~house~is~still~Rs. 420000\\Their~ratio= 630000:420000 = \frac{630000}{420000}=\frac{3}{2}=3:2.\\[/tex]

So, the ratio of their cost is 3:2.

Antonia solves an equation incorrectly. Her work is shown in the table
Original
27 (51x - 1) = -24x + 12
Line 1
-87x +
29
17
-24x +
Line 2
-63x+
29
17
12
17
Line 3
-63x = 1
Line 4
X
1
63
In which line did Antonia make an error based on the previous line?
А
Line 1
B
Line 2
С
Line 3
D
Line 4

Answers

Answer:

que no entiendo hablo español

HELP ME PLEASE! i'll give u brainliest

Answers

Answer:

D. Hope that helps!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

It is D because all fractions are rational numbers, and numbers with decimals can also be fractions, so its like multiplying a fraction with a fraction, It would still be a rational number.

Please help me with this

Answers

Answer:

1) equation is set up to determine when the cost of printing at home is the same as the cost of printing at the office

2) p = 500 means that, at printing 500 pages, the costs of home versus office printing are the same

Step-by-step explanation:

Answer:

1) No, it does not represent the story.

2) It represents the number of pages.

Step-By-Step Explanation:

1) It has nothing to do with the story.

2) It says: Let p represent the number of pages

A water tank holds 1,088 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds
1,360 gallons but is leaking at a rate of 9 gallons per week. After how many weeks will the amount of
water in the two tanks be the same?
The amount of water in the two tanks will be the same in
weeks.

Answers

The first tank hold 1088 - 5t gallons of water after t weeks, while the seocnd tank holds 1360 - 9t gallons after t weeks.

Both tanks hold the same amount of water when

1088 - 5t = 1360 - 9t

Solve for t :

4t = 272

t = 68

So the tanks will hold the same amount of water after 68 weeks.

please simplify √16bx⁴​

Answers

Answer: 4bx^2

Step-by-step explanation:

Answer:

Hey there!

I got the answer

4bx^4

Step-by-step explanation:

All you have to do is simplify the radicand up into a product of known factors , assuming positive real numbers.

PLEASE HELP

How much pressure is exerted on a science lab floor if the lab
desk has an area of 1.08 m2 and a force of 12 000 N

Answers

Answer:

use pressure =Force /area

Step-by-step explanation:

12000N/1.08

please help I have an hour to complete

Answers

Answer:

proportional

:)

3. Use distributive property to simplify
a. (-6) * [(-12) + (25)]
C. (+6) * [(-17) + (+28)]
e. (+7) * [(-12) – (+6)]
Solve this answer with solution please ​

Answers

Answer:

see the answers

Step-by-step explanation:

to understand thisyou need to know about:PEMDAStips and formulas:

orders of PEMDAS:

parenthesesexponentmultiplication ordivisionaddition orsubstractionleft to rightlet's solve:

a)

remove first parentheses and add: -6×[-12+26] =-6×[14]remove third parentheses and multiply:-6×14=-84

c)

remove first parentheses and add:(6)×[-17+28]=6×[11]remove third parentheses and multiply: 6×11=66

e)

remove first parentheses and substract:7×[-12-(6)]=7×[-12+(-6)]=7×[-18] multiply:7×[-18]=-126

The value of an antique car is modeled by the function V\left(t\right)=10700\ \left(1.125\right)^t , where t is the number of years since 2005.

By what percent rate is the value of the car increasing per year?

a
125%
b
12.5%
c
1.125%
d
0.125%

Answers

Answer:

its c i think

Step-by-step explanation:

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