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
beks73 [17]
3 years ago
14

The sum of two numbers is odd. Can the quotient of the two numbers be an odd number?

Mathematics
1 answer:
Natalka [10]3 years ago
4 0

Answer: No.

Step-by-step explanation:

I guess that here we have the statement:

If the sum of two numbers is odd----> can their quotient be an odd number?

first, for n an integer number, we have that:

an odd number can be written as 2n + 1

an even number can be written as 2n.

The sum of two numbers is only odd if one of them is odd and the other even.

Then we have a number that is 2n and other that is 2k + 1, for n and k integer numbers.

Now, let's see if the quotient can also be an odd number.

One way to think this is:

There is an odd number such that when we multiply it by another odd number, the result is an even number?

no, and i can prove it as:

let 2k + 1 be an odd number, and 2j + 1 other.

the product is:

(2k + 1)*(2j + 1) = 2*(2*k*j + k + j) + 1

and as k and j are integers, also does 2*k*j + k + j, so:

2*(2*k*j + k + j) + 1 is an odd number.

This says that the product of two odd numbers is always odd, then we never can have that the quotient between an even number and an odd number is odd.

You might be interested in
What is the expression for "the difference of 3 and 5 times a number"
soldi70 [24.7K]
(3 - 5)x

Hope this helps! :)
8 0
3 years ago
Read 2 more answers
What is 8% of 200?<br> 25<br> 4<br> 16<br> 8
Mashcka [7]

Answer:

16

Step-by-step explanation:

Please mark brainliest!

6 0
3 years ago
Read 2 more answers
How would the right side need to change
Katyanochek1 [597]
Where's the problem or the work ?
8 0
3 years ago
Which if the following rules best describes the matrix below?
goldfiish [28.3K]

i think A because delation of scale factor 2

5 0
3 years ago
Read 2 more answers
Gerry made a number line for a homework problem,
Flauer [41]

Answer:

The answer is point C

Step-by-step explanation:

Point C is the opposite of point P

5 0
3 years ago
Read 2 more answers
Other questions:
  • A college student borrows ​$3,000 for 3 months to pay for a semester of school. If the interest is ​$61.88 find the monthly paym
    15·2 answers
  • 438 people signed up for a city soccer league. the league places 15 people on each team. How many teams are there?
    13·1 answer
  • Since all circles are similar, a proportion can be set up using the circumference and diameter of each circle. Substitute the va
    12·2 answers
  • Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
    6·2 answers
  • Can someone please help I can’t figure this out :(
    15·1 answer
  • It's all on the picture please answer it​
    10·2 answers
  • Please help :) Thank you
    8·1 answer
  • 100 POINTS pleasee i need help and explain too
    9·2 answers
  • If using the method of completing the square to solve the quadratic equation, which number would have to be added to “complete t
    9·1 answer
  • The diameter of a circle is 34 feet. what is the circles circumference ?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!