No, Yes, No, Yes
using the laws of exponents
(1)
(
)³ = 
4³ × 4³ = 
≠ → No
(2)
(
)^4 = 
× = → Yes
(3)
= (6 × 3 )^8 = 
× ≠ 
× → No
(4)
= (4 × 5 )³ = 4³ × 5³ → Yes
Answer with Step-by-step explanation:
Since we have given that
a + b = c
and a|c
i.e. a divides c.
We need to prove that a|b.
⇒ a = mb for some integer m
Since a|c,
So, mathematically, it is expressed as
c= ka
Now, we put the above value in a + b = c.
So, it becomes,
a=mb, here, m = k-1
Hence, proved.
A = oz of the solution A
b = oz of the solution B
The scientist knows that solution A is 45% salt and solution B is 95% salt. She wants to obtain 80 ounces of a mixture that is 65% salt.
a + b = 80
0.45a + 0.95b = 0.65*80
by solving the above system of equations you'll find····
a = 48 oz
b = 32 oz
~I hope this helped~
If it doesn't make since, I can try to switch up the wording ^^
Answer:
148 degrees
Step-by-step explanation:
For a parallelogram, angles on the same side sum up to be 180
what this simply means is that they are supplementary
Mathematically, we have it that;
X + W = 180
W = 180 - X
W = 180 -32
W = 148 degree
