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
Jude is making cement for a driveway. The instructions show the amount of each ingredient to make 1 batch of cement. Complete ea
vaieri [72.5K]

Answer:To make 5 batches, Jude needs to use 20 packages of pre-mixed mortar.

Jude uses 9 quarts of water to make 3 batches of cement

If jude uses 16 packages of pre-mixed mortar, he will need to use 12 quarts of water

To make 0.5 batch of cement , Jude should use 2 packages of pre-mixed mortar

Step-by-step explanation:

5 0
3 years ago
52 > 43 + w
zvonat [6]
Hopes this helps

Answer: w < 9 yes

Please mark as brainlist
4 0
3 years ago
Given a:b and b:c, find a:b:c. Write the ratio in simplest form. a:b=10:25 and b:c=45:27
Aleksandr [31]

Answer:

a:b:c=2:5:3

Step-by-step explanation:

a:b=10:25

a:b=2:5(divided by 5)

b:c=45:27

b:c=5:3(divided by 9)

a:b:c=2:5:3

6 0
2 years ago
Sofia's grandfather has 18 sacks of candies. There are 348 pieces in each sack of candies. How many candies does Sofia's grandfa
sleet_krkn [62]

Answer:

18 x 348 = 6,264.

Sofia's grandfather has 6,264 candies in total.

5 0
3 years ago
Read 2 more answers
When you type your brainly password it sensors it out ********** I just tried, I never knew
Margaret [11]
Oh gosh, that is so cool
5 0
3 years ago
Other questions:
  • Malpractice insurance is carried by doctors and lawyers to ______ them from lawsuits
    6·2 answers
  • One Direction makes $46,000 per show. How much money do they make after 100 shows?​
    9·1 answer
  • If log8^x = p express log2^x in terms of p
    5·1 answer
  • Maxine wants to leave a 17% tip for her meal. If the meal costs $44.60<br> how much is he tip?
    12·1 answer
  • Is -3/4 greater or less than or equal-.75
    14·1 answer
  • 5y - 4x = -7<br> 2y + 4x = 14<br> Solve the system of equation
    14·1 answer
  • Robin draws a square with a measure of (x + 2) inches on each side. The perimeter of each square is 96 inches. The equation belo
    6·2 answers
  • Which set of ordered pairs represents y as a function of x? <br><br>​
    10·1 answer
  • A. ) 2x -6 = 4 <br> b. ) -3 x + 2 = 8
    11·2 answers
  • What is the square root of 39 divided by 5 multiplied by 10?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!