Answer:
It is divisible by 11 and (a + b) !
Step-by-step explanation:
Given a two digit number 
, the digits written in reverse order is 
.
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.
Answer:
x = 
y = 
Jacobian value = 1/7
Step-by-step explanation:
Given data:
u = 2x -y
v = 3x + 2y
solving the system for x and y in terms of u and v
x =
y =
The value of the Jacobian = 1/7 ( solution attached below )
Image under the transformation of the triangular region with vertices ( 0,0) , (2,4) and (2,-3) in the x-y plane is attached below
Answer:
1.17
1.52
Step-by-step explanation:
you divide 3.51 by 3
you divide 9.12 by 6
Answer:
(1-33/100)x and 0.67x
Step-by-step explanation:
33% is 33 out of 100, or 33/100. Since the new recipe has 33%, or 33/100, less sodium, this means we take x, the amount in the old soup, and subtract 33/100 from it:
1 - 33/100 would represent the percent of sodium remaining, and x is the original amount, giving us (1-33/100)x.
If we write this percent as a decimal, we get 0.33. Taking this away from 100%, which is written in decimal form as 1, we get
1 - 0.33 = 0.67
Now we multiply this by the original amount of sodium, x:
0.67x
