1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
inna [77]
3 years ago
9

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

Mathematics
1 answer:
sweet [91]3 years ago
3 0

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

Let <em>x</em> be the inverse. Then <em>x</em> is such that

23<em>x</em> ≡ 1 (mod 1000)

Use the Euclidean algorithm to solve for <em>x</em> :

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)

You might be interested in
If -4(x-3)+5x=24, then x= what?
navik [9.2K]
The answer to this question would be x = 12, using pemdas.
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cqquad%5Chuge%5Cunderline%7B%5Cboxed%7B%5Csf%20%5C%3A%20Question%7D%7D" id="TexFormula1" tit
vovikov84 [41]

So here's gives that

total weight of 25 bags = 50 x 25

= 1250

total cost of 25 bags weighing 50 kg is = 15000

cost of 1 kg = 15000 ÷ 1250 = 12

now total weight of 15 bags weighing 30 kg = 450

cost per kg = 12

cost of 15 bags weighing 30 each = 450 x 12

Answer = 5400 rupees.

5 0
2 years ago
Find the volume of the composite solid. Round your answer to the nearest tenth.
Damm [24]

Answer:

402.12 + 804.24 = 1206.36

8 0
2 years ago
Read 2 more answers
Jean bought a $1,980 snow thrower on the installment plan. The installment agreement included a 10% down payment and 18 monthly
enyata [817]

Answer:

Jean paid $2,286 for the snow thrower, with a finance charge of $306.

Step-by-step explanation:

Given that Jean bought a $ 1,980 snow thrower through an initial payment of 10% of the initial value, and 18 monthly payments of $ 116, to determine the final price paid by Jean, the following calculation is required:

(1,980 x 0.1) + (18 x 116) = X

198 + 2,088 = X

2,286 = X

Therefore, the final price paid for Jean was $ 2,286.

In turn, the finance charge arises from the difference between the final price and the list price, that is:

2,286 - 1,980 = X

306 = X

Thus, the finance charge is $ 306.

8 0
2 years ago
Find SY and XY. PLEASE HELP ME IT IS DUE SOON IF YOU DONT KNOW DO NOT ANSWER
alina1380 [7]

Answer:

SY = 16

XY = 12

Step-by-step explanation:

15/20 = 12/SY

15SY = 240

SY = 16

15/20 = 9/XY

15XY = 180

XY = 12

5 0
3 years ago
Other questions:
  • Transform the equation to isolate x: ax = bx + 1. How is
    9·2 answers
  • Write an equation for: melissa has 6 times as many quarters as Michelle. Together they have 896 quarters. How many quarters, q,
    6·1 answer
  • In the scale used on a blueprint, 14 inch represents 3 feet. On the blueprint, what is the length of a room with an actual lengt
    10·1 answer
  • What does the fraction 4/5 mean? Show how can it be written using division?
    7·2 answers
  • Help me with my math and please show your work
    7·1 answer
  • What is 9x-8=0 help pls
    6·2 answers
  • Select the reason why these triangles are similar. If they are not, select “not similar”
    5·1 answer
  • Choose the correct preposition to complete the sentence. To facilitate a quick getaway, the cunning thief parked the car perpend
    11·2 answers
  • Sue has 100 dimes and quarters. If the total value of the coins is $21.40, how many of each kind
    9·1 answer
  • In your town, there is a field that is in the shape of a right triangle with the dimensions shown. (Round answers to the nearest
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!