Answer:
20
Step-by-step explanation:
You have to fill in 6 slots _ _ _ _ _ _.
Since first digit must be 4, there is only 1 way to fill in the 1st slot.
with the 5 slots, we fill in the 6s first, 3 of them.
So we have 5 options and 3 items to fill, (5 choose 3).
Then 2 ways to fill 1 and 1 way to fill 5. (It doesn't matter if you pick 5 or 1 first).
So it becomes (5C3) * (2C1) *(1C1)
= 1 * 5!/(3!)(5-3)! * (2) * 1
= 20
5x+3y=-9
-2x+y=8
The first step is the trickery (and quite frankly, hardest to explain) part. You need to multiply one equation by a number that will create one variable to be the negative version of the other...(Confusing, right? Don't worry, I'll show you)
We are going to solve for X first.
We will multiply the second equation by -3
5x+3y=-9
-3(-2x+y)=(-3)8
Now simplify:
5x+3y= -9
6x-3y= -24
Now combine the two equations (add them together)
11x= -33
Divide by 11
X=-3
Now plug X in to one of the first equations:
5(-3)+3y= -9
-15+3y =-9
3Y= 6
Y= 2
So your final answer is:
x= -3
Y= 2
Hope this helps!
<h2>
Answer:</h2>
The first step would be to multiply the bottom equation by -1 to eliminate x, then you would combine like terms, like 5y + 2y, and 16 + 10.
Answer:
56 ft square (Approx)
Step-by-step explanation:
Area of Rhombus= (1/2) * D1* D2 {D1 = 4.5; D2 = 5*5= 25}
= 1/2 * 4.5 * 25
= 56.25
= 56 ft square (Approx)
Do do this you divide the largest denominator by the smallest;
12/3 = 4
The answer is 4
Hope this helps! :)
