4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.
Start with
Taken mod 4, the last two terms vanish and we're left with
We have 
, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.
Taken mod 7, the first and last terms vanish and we're left with
which is what we want, so no adjustments needed here.
Taken mod 9, the first two terms vanish and we're left with
so we don't need to make any adjustments here, and we end up with 
.
By the Chinese remainder theorem, we find that any 
such that
is a solution to this system, i.e. 
for any integer 
, the smallest and positive of which is 149.
Answer: x = 6.46153846
Step-by-step explanation:
We are given the equation <em>13x - 4 +100 = 180</em>, and we must find the value of <em>x</em>. In order to do that get x on on one side by itself and a constant on the other side by itself.
This first step is to combine like terms. <em>13x</em> is by itself. <em>-4 + 100 = 96</em>. This gives us the equation <em>13x +96 = 180</em>.
In order to get <em>x </em>by itself, subtract 96 from each side of the equation. This gives us the equation 13x = 84.
Next, divide each side by 13 to find x. This gives us x = 6.46153846
Hope this helps! Have a nice day!
Answer:
B
Step-by-step explanation:
Answer:
The correct answer is 1/2×8×3.
