ruthiealvarez6320 ruthiealvarez6320

18-09-2017
Mathematics

contestada

Prove that for all integers a and b, if a mod 7 = 5 and b mod 7 = 6 then ab mod 7 = 2.

Respuesta :

ghanami ghanami

18-09-2017

hello :
if : a ≡ 5 ( mod 7) ....(1)
b ≡ 6 ( mod 7) ...(2)
(1)×(2) : ab ≡ 30 ( mod 7)
but : 30 = 7×4 + 2 ..... so : 30 ≡ 2 ( mod 7)
then : ab ≡ 2 ( mod 7)

Answer Link

Otras preguntas

Y-5x less then equal to 2 Solve for y

Data ________ occurs when the same data is duplicated in multiple files of a database.

In japan, ceramic tea bowls were appreciated because

Carol sold twice as many magazine subscriptions as Jennifer. If Carol and Jennifer sold 90 subscriptions in all, how many subscriptions did Carol sell? 45 90 30

(HELP PLEASE) The cost for a company to produce x smartphones can be modeled by C(x)= 2x+35 and the company's total profit after selling x smartphones can be mo

a soccer ball that regularly sells for $16.50 is on sale for 20% off. What is the amount of the discount? (Explain answer) A. $0.33 B. $0.65 C. $3.30 D. $6.50

A ticke cost 40 dollars suppose every seat in the first ten rolls are filled what is the total revenue from those seatss

Justine is average looking, and she says she is an engineer. according to research conducted by evolutionary psychologists, which of the two women is walter mos

How does the “Newton’s Cradle” toy demonstrate Newton’s Third Law of Motion?

Rob spent half of his weekly allowance on candy. To earn more money his parents let him weed the garden for $7. What is his weekly allowance if he ended with $1