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
Novay_Z [31]
3 years ago
6

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

Mathematics
1 answer:
sergiy2304 [10]3 years ago
6 0
Hello :
if : a <span>≡ 5 ( mod 7) ....(1)
     b </span><span>≡ 6 ( mod 7) ...(2)
(1)×(2) : ab </span><span>≡ 30 ( mod 7)
</span>but : 30 = 7×4  + 2  ..... so : 30  ≡ 2 ( mod 7)
then : ab ≡ 2 ( mod 7)
You might be interested in
Maria by 1 and 2/5 pounds of lunch meat for $3.36 how much would 2 3/4 lb of lunch meat cost
Oliga [24]

Answer:

$6.60

Step-by-step explanation:

1 2/5 = 1.4

3.36/1.4 = 2.4

2.40 per pound

2.40 * 2.75 =  6.60

5 0
2 years ago
Which decimal is less than 0.47<br> (0.38) (0.9) (0.64) (0.5)
Romashka-Z-Leto [24]

Answer:

0.5

Step-by-step explanation:

just divide in a calculator

3 0
3 years ago
Read 2 more answers
This is probably easy but help me lol
Nadya [2.5K]

Answer:

Isosceles

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A number, X, rounded to 1 decimal place is 3,7<br> Write down the error interval for x,
sp2606 [1]

Answer:

The error interval for x is:

                 [3.65,3.74]

Step-by-step explanation:

The number after rounding off is obtained as:

                         3.7

We know that any of the number below on rounding off the number to the first decimal place will result in 3.7:

  3.65     3.66    3.67    3.68    3.69    3.70    3.71   3.72    3.73    3.74

( Because if we have to round off a number present in decimals to n place then if  there is a  number greater than or equal to 5 at n+1 place then it will result to the one higher digit  at nth place on rounding off and won't change the digit if it less than 5 )

        Hence, the error interval is:

            [3.65,3.74]

6 0
2 years ago
In order to tell if a graph is a function it must
nikitadnepr [17]
You can use the vertical line test (the blue lines on the drawing) and if the other end or if any part of the line touches the blue line, then it isn’t a function.

5 0
2 years ago
Other questions:
  • The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x –
    8·2 answers
  • The weight, y, in pounds, of kittens was tracked for the first 8 weeks after birth where t represents the number of weeks after
    6·1 answer
  • What fraction is equivlant to 2/6
    6·2 answers
  • A market buys mixed nuts at $15 per pound. They want to make a 20% profit. What would you make for 1 pound of nuts ? ( show work
    6·1 answer
  • How do you multiply fractions by improper fractions
    9·1 answer
  • Please please please help me
    5·1 answer
  • Please help ASAP plz
    6·1 answer
  • Hey guys so I have a question. How do you determine the appropriate center of measure? I know that you have to find the mean med
    12·1 answer
  • Please answer my question correctly​
    6·1 answer
  • Solve the equation 2x^2-9x=0 by factoring
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!