Answer:
x=−32/5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1/2(1/4x−3/5)=1/4(2/5+3/4x)
(1/2)(1/4x)+(1/2)(−3/5)=(1/4)(2/5)+(1/4)(3/4x)(Distribute)(1/2)(1/4x)+(1/2)(−3/5)=(1/4)(2/5)+(1/4)(3/4x)(Distribute)
1/8x+−3/10=1/10+3/16x
1/8x+−3/10=3/16x+1/10
Step 2: Subtract 3/16x from both sides.
1/8x+−3/10−3/16x=3/16x+1/10−3/16x
−1/16x+−3/10=1/10
Step 3: Add 3/10 to both sides.
−1/16x+−3/10+3/10=1/10+3/10
−1/16x=2/5
Step 4: Multiply both sides by 16/(-1).
(16/−1)*(−1/16x)=(16/−1)*(2/5)
x=−3/25
Answer:
Circumference of circle =2πr=2π×10.5=21πm
Step-by-step explanation:
First find a common denominator and combine the fractions in the numerator:
Now simplify and cancel out all the terms that you can:
Since the remaining expression is continuous as a function of
, you can directly substitute to end up with
Answer:
rectangle
Step-by-step explanation:
Answer:
Yes!
Step-by-step explanation:
Let x be the tens place and y be the units place. x and y need to be odd because in other case a or b will not be odd. For example, if x=1 and y=2 a will be 21 but b will be 12 that is not odd.
Now, a+b = xy+yx. Note that xy is not x*y, is just the digits concatenated.Then, there are two cases:
If x+y<10 then xy+yx = (x+y)(x+y) (again, that is not a multiplication is x+y concatenated with x+y) and that is 11*(x+y) a multiple of 11.
If x+y≥10 then xy+yx = (x+y+1)(x+y-10) because x+y<20.
Now we are going to see that last result without the concatenation, as a sum, that is
(x+y+1)*10 + x+y-10 = 10x+10y+10+x+y-10 = 11x+11y = 11(x+y). This result is clearly a multiple of 11.
In conclusion, in all cases the result of a+b is a multiple of 11.
