if x/9 = 0.6bar + 0.4bar , find the value of x
Answers
Answer:
10
Step-by-step explanation:
Solving RHS :
For 0.6 + 0.4 perform an activity,
We know 0.6 = 0.666... and 0.4 = 0.444...
On adding 0.666... + 0.444... we get 1.11....
Thus, 0.6 + 0.4 = 1.1
Now, let 1.1 = a ...(1)
Multiply both sides by 10 :
=> 11.1 = 10a
Subtract (1) from this :
11.1 = 10a
-1.1 = - a
10 = 9a [bar cancelled]
Hence, 10/9 = a = 1.1 = 0.6 + 0.4
Compare RHS and LHS :
=> x/9 = 10/9
=> x = 10
Note that you can actually solve 0.6 and 0.4 seperately and add, I prefered adding for comfort. Moreover, if you solve seperately,
x/9 = 0.6 + 0.4 = 6/9 + 4/9 = 10/9
x = 10
*I used underline instead of bar
Answer:
ANSWER IS = X = 10
Step-by-step explanation:
x/9 = 0.6 bar +0.4bar
0.6bar
some places this sing(-) means infinity in this question
10x-x = (6.66 - - - - -) - (0.666 - - - - -)
9x = 6
x = 6/9
x = 2/3
0.4bar
10-x = (4.44 - - -) - (0.44 - - -)
9x = 4
x = 4/9
now place the values
x/9 = 2/3 + 4/9
x/9 = 6+9/9 = 10/9
x = 10/9 × 9
cut 9 from 9
now x = 10
I HOPE IS IS HELPFUL