25% = 0.25
124 x 0.25 = 31
31 students bought their lunch.
Part = 31
Percent = 25%
Whole = 124
Hope this helps! ✨
Let the number of $1 bill be x and $5 bill be y
x=5y
5y+y=48
6y=48
x=40
y=8
number of $1 bill= 40
number of $5 bill = 8
If there are no repeating x values and an x value only goes to <em>one</em><em> </em>y value, then yes, it is a function.
(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0
Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º (360º-53.13º=306.87)
sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º
The solutions when 0≤x≤360º are: 36.87º and 306.87º.
