Recognize the difference of 2 perfect squares
remember
a²-b²=(a+b)(a-b)
9y⁴=(3y²)²
1=1²
9y⁴-1=(3y²)²-(1)²=(3y²+1)(3y²-1)
if we wanted to force a factor again
(3y²+1)(y√3+1)(y√3-1)
now, if we a "prime factoring" of each number, we get
204 =
2*2*3*17
120 = 2*
2*2*3*5
168 = 2*
2*2*3*7
now, notice the GCD for all three is that common bolded values, namely 2*2*3, or 12, so each room will house 12 participants,
now, how many rooms for all German? 204 ÷ 12, or 17 rooms.
how many rooms for all English ones? 120 ÷ 12, or 10 rooms.
how many rooms for the French ones? 168 ÷ 12, or 14 rooms.
so the total amount of rooms for all of them is
17 + 10 + 14.
Hey there!
To start, since you already know your total without the tax, 60 dollars, now you have to find the sales tax.
Since the sales tax is 5% of the total, multiply 5% to 60. To do this, first convert 5% to a decimal by moving the decimal left two times. This would be 0.05. Now, multiply your 0.05 to 60:
0.05*60=3
Finally, add this sales tax to your total:
60+3=63
Therefore, your final total is 63 dollars.
:)
Hey i think u forgot to put a picture! or the answer choices