Tianak5996 Tianak5996

03-03-2022
Mathematics

contestada

We can find a system of congruences where x≡a (mod 4) x≡b (mod 5) where the solution is x≡7 (mod 20).

Respuesta :

LammettHash LammettHash

03-03-2022

If x ≡ 7 (mod 20), then

x ≡ 7 ≡ 27 ≡ 47 ≡ 67 ≡ 87 ≡ … (mod 20)

or equivalently, x = 7 + 20k for some integer k.

Taken mod 4, we have

x ≡ 7 + 20k ≡ 3 (mod 4)

and mod 5,

x ≡ 7 + 20k ≡ 2 (mod 5)

so that a = 3 and b = 2.

Answer Link

Otras preguntas

2. A store sells an assortment of batteries in bulk packs of 300. Of those batteries. 90 are AAA size. What percent of the pack are AAA-size batteries? A 10% B

PLEASE HELP WILL GIVE LOTS OF POINTS

Com relação a política, deu-se o declínio do poder feudal e a centralização do poder nas mãos dos reis, surgindo as monarquias absolutistas com caráter nacional

describe what happen as one complete sound wave move past a point?

The organization that helps to coordinate Canadian foreign aid is (Choose one) : a) NAFTA b) NATO c) GAC d) G8

Think About the Process If you solve the linear system by adding to eliminate p, which step could you do first? Solve for p and q. 2p +39 = 7 3p + 59 = 10 Which

ane bought a poster that had a length of 2 1/3 feet and a width of 3/4 feet. What is the perimeter of her poster?

What can be done to control misuse /lekage of electricity in our country Nepal ? Explain .

You have prepared 42 mL of distilled water, 18 mL of vinegar and 47 mL of saltwater for an experiment.b. How many milliliters of solution will you have if you f

The main aim of exponential distribution is?