This is a system of equations. We solve it by setting it up so that when we add the two equations together, one of the variables will cancel out. We can do this by multiplying the bottom equation by 3. This will make our system of equations equal:
3a + b + 225 -3a + 3b = 75
Now we add these two equations together, because the a terms will cancel out.
4b = 300.
We can find what b is by dividing both sides by 4.
b = 75
Next, we plug in b in one of the equations and solve for a. You can use either equation, but I will use the second.
75 - a = 25
Subtract 25 from both sides and add a to both sides:
a = 50
So, the first option is correct. A = 50 and b = 75.
He measured the height of the box to be 7 in. Then<span>, </span>Stephan drew a line from the center of one of the hexagons to each of its vertices and noticed that<span> all .</span>
This is a geometric sequence with a common ratio of 2
an = a1 * r^(n - 1) n = term to find = 21 a1 = first term = 0.05 r = common ratio = 2 now we sub a21 = 0.05 * 2^(21 - 1) a21 = 0.05 * 2^20 a21 = 0.05 * 1048576 a21 = 52428.80 <==== after working 21 days
