1) Perfect squares:
a²+14a+49 = (a+7)²
a²+26a+169 =(a+13)²
2) Differences of squares
a²-36 = (a-6)(a+6)
w²-121 = (w-11)(ww+11)
Thirty percent of those 15 quarts will be pure alcohol. Multiply 15 quarts by 0.30 to obtain this quantity.
Answer:
x = 20.
Step-by-step explanation:
37x + 16 = 6(6x + 6)
Distribute.
37x + 16 = 36x + 36
Subtract 36x from both sides.
x + 16 = 36
Subtract 16 from both sides.
x = 20.
The solution is 20.
Proof
37x + 16 = 6(6x + 6)
37(20) + 16 = 6(6(20) + 6)
740 + 16 = 6(120 + 6)
756 = 6(126)
756 = 756.