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
pshichka [43]
3 years ago
6

Using algebraic methods, prove that the sum of 2 consecutive odd integers is always a multiple of 4.

Mathematics
1 answer:
Hatshy [7]3 years ago
3 0

Answer:

This statement will always be true practically.

Step-by-step explanation:

Let the odd number be:

=2x - 1

So the next odd will be:

= 2x + 1

Now for getting sum of two odd numbers we will add them:

= (2x -1)+(2x + 1)

Opening brackets:

= 2x -1 +2x +1

A dding like terms, Both 1's  will be cancelled out

= 4x

Now this proves that adding two odd numbers will deduce to a result which will always a multiple of 4

Hence proved.

I hope it will help you!

You might be interested in
Fertilizer for your lawn has to be mixed with water. Every 5 ounces of mix needs 1 gallon of water. How many cups of mix do you
Mkey [24]

Answer:

  5 cups

Step-by-step explanation:

There are 8 ounces in a cup, so the ratio given is ...

  5/8 cup : 1 gallon

Multiplying this by 8, we have ...

  5 cups : 8 gallons

If you are using 8 gallons of water, you need 5 cups of mix.

6 0
3 years ago
Read 2 more answers
Y=1−2x;x=9 can you please help
Anit [1.1K]

Answer:

17

Step-by-step explanation:

since you are given that x is 9 all you have to do is plug it in. So 1-2(9) 2 times 9 is 18 so 1-18=17

7 0
3 years ago
Read 2 more answers
Write and expression for “the sum of d and 9”
Natali [406]

Sum means to Add.

So the sum of d and 9 would be d + 9

5 0
3 years ago
Read 2 more answers
The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers.​
Ad libitum [116K]
X - y = 9
x + 2y = 27
You can subtract the top equation from the bottom
3y = 18
y = 6
x = 15
The two numbers are 15 and 6
4 0
3 years ago
Find three consecutive numbers whose sum is 171.
-BARSIC- [3]
171/3 is 57. the three consecutive numbers are 56, 57 and 58.

244/4 is 61. the even integers are 58, 60, 62 and 64
5 0
3 years ago
Read 2 more answers
Other questions:
  • The cooking time for a ham is 2/5 of an hour for each pound - how long should you cook a ham that weighs 12 3/4 pounds?
    7·1 answer
  • The price for strawberries is currently $ 6.40 per pack. next week,strawberries will be on sale at a 20% discount. what is the t
    7·1 answer
  • Suppose you roll two die. Find the number of elements in the event space of rolling a sum of 5. A. 3 B. 4 C. 5 D. 6
    5·1 answer
  • - The dog trainer gives treats to 8 dogs as
    9·1 answer
  • Misha and Carlos collect baseball cards. Misha has been collecting cards longer and finds a ratio of 9 to 4 when comparing her t
    15·1 answer
  • 5
    14·1 answer
  • Bearings Problem Solving Question:
    9·1 answer
  • Joe mammamamamamamaamamamma
    14·1 answer
  • For example, for a circle of diameter 4 cm, the circumference is approximately<br> cm.
    14·1 answer
  • Ming &amp; Elisa each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!