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Delvig [45]
3 years ago
15

Prove that the sum of ab and ba is divisible by the sum of a and b

Mathematics
1 answer:
Likurg_2 [28]3 years ago
5 0

Answer:

It is divisible by 11 and (a + b) !

Step-by-step explanation:

Given a two digit number $ ab $, the digits written in reverse order is $ba $.

Note that a two digit number ab  = 10a + b.

For example: 24 = 10(2) + 4

Similarly, ba = 10(b) + a

Now, the sum of the numbers ab and ba = 10a + b + 10b + a

= 11a + 11b

= 11(a + b)

Hence, the sum of any two digit number ab and the reverse of the number ba,  is divisible by 11 and (a + b).

Hence, proved.

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Which equation is equivalent to -2(2 − 2x) = 4 − 8(1 − x)
Kay [80]

Answer:

8 = 4x OR 0 = 4x

Step-by-step explanation:

I not %100 sure or it could be 0 = 4x

EITHERONE

6 0
3 years ago
Please help with numbers 1 and 2 !!!
lesantik [10]
Well, this is a stem and leaf problem. 

The numbers are 20, 28, 29, 29, 31, 32, 36, 41, and 42. 

In order to solve for the mean, we find the average and we add the numbers together and divide by 9(there are 9 numbers). 

The mean is 32.
The median is the middle number, or 31. 
7 0
3 years ago
Read 2 more answers
The student council at Spend too much High School is planning a school dance. The table below shows the budget for the dance.
Pie
The dance would /cost/ the school 50 dollars, making the profit -50. The dance tickets make 300, and the DJ takes away 250, making a 50 profit. However, the decorations cost 100, taking away that from 50, making -50.
4 0
3 years ago
*) Simplify the second expression<br> 2(2m + 2) + m.<br> 2(2m + 2) + m =<br> m +<br> ?
olga55 [171]

Answer:

5m + 4

Step-by-step explanation:

First, use the distributive property to open the parentheses.

2(2m + 2) + m = _m + 4

4m + 4 + m = _m + 4

Simplifiy:

5m + 4

Hope this helps!

4 0
3 years ago
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What is the mean absolute deviation of 42 31 1 1 2 4 5 6 7 3
FromTheMoon [43]

The mean absolute deviation is 10.52.

<h3>What is the mean absolute deviation?</h3>

The mean absolute deviation of a dataset is the average distance between each data point and the mean. It is a measure of variation of a data set.

MAD =1/n  ∑ l x - m(x) l

Where:

n = total numbers in the data set

x = number

m(x) - median

The first step is to determine the mean of the data set: (42 + 31 + 1 + 1 + 2 4+ 5 + 6 + 7 + 3) / 10 = 10.2

Find the absolute value of the difference between the number and the mean. Add the result | (42 - 10.2) + (31 - 10.2) + (1 _ 10.2)  + (1 - 10.2)  + (2 - 10.2)  + (4 - 10.2)  + (5 - 10.2)  + (6 - 10.2)  + (7 - 10.2)  + (3 - 10.2) = 105.2

Divide the sum by the total number in the dataset = 105.2 / 10 = 10.52

To learn more about mean absolute deviation, please check: brainly.com/question/27365177

#SPJ1

5 0
1 year ago
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