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mart [117]
3 years ago
14

If the difference of two numbers is even then so is their sum.

Mathematics
1 answer:
Nutka1998 [239]3 years ago
4 0

Answer and explanation:

Statement - If the difference of two numbers is even then so is their sum.

Let the two even numbers be '2m' and '2n' with m and n are integers.

The difference of two number is

2m-2n=2(m-n)

Now, The sum of the numbers is

2m+2n=2(m+n)

Let m+n=k where k is an integer

Then, 2m+2n=2k which is also an even number as 2 is multiplied with it.

So, If the difference of two numbers is even then so is their sum.

For example -

Let two even number 2 and 4.

The difference is 4-2=2, 2 is even.

The sum is 4+2=6, 6 is even.

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8 = 4 - 2x<br> - 2x +5 = 17<br> 12= - 3 ( x+ 5)
max2010maxim [7]
8 = 4 - 2x\\8 + 2x = 4\\2x = -4\\x = -2

- 2x +5 = 17\\-2x =12\\x = -6

12= - 3 ( x+ 5)\\12 = -3x -15\\-3x =27\\x= -9
5 0
3 years ago
Add.3/2a+5/2a PLease help!
Wittaler [7]
The answer should be 4a

4 0
3 years ago
Read 2 more answers
The photography club decided to go on a field trip to the Andy Warhol museum. They had to break into smaller groups once they go
Diano4ka-milaya [45]
A)
Let x represent the cost of 1 student, and y the cost of 1 teacher.

B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
So 32x + 3y = 127

We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

In equation (1)
25x + 2y = 97.50
25x + 2y - 2y = 97.50 - 2y
25x = 97.50 - 2y
25x / 25 = 97.50/25 - 2y/25
x = 3.9 - (2/25)y

In equation (2), let's replace x by its algebraic value
32x + 3y = 127
32(-2/25y + 3.9) + 3y = 127
11/25y + 124.8 = 127
11/25y + 124.8 - 124.8 = 127 - 124.8
11/25y = 2.2
(11/25y) / (11/25) = 2.2 / (11/25)
y = 5

x = -2/25y + 3.9
x = -2/25 * 5 + 3.9
x = 3.5

So the cost of each student is $3.5, and the cost of each teacher is $5.

Hope this helps! :)




4 0
3 years ago
How do you determine which place value to use when estimating products?
Shkiper50 [21]
Which ever on is on the whole side of the side of the decimal...or in other words, what ever number is on the left side of the decimal
8 0
2 years ago
Find the next number in the series 3, 9, 81, 6561
nexus9112 [7]

Answer:

19683

Step-by-step explanation:

you multiply each number times 3 so if you multiply the last number times 3 you should get your answer.

7 0
3 years ago
Read 2 more answers
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