X= number of student tickets
Y= number of on student tickets
x+y=311
0.50x + 1.50y = 385.50
Solve x in 1st equation
X+y=311
X= -y + 311
Now substitute x into second equation to solve for y
0.50(-y+311)+ 1.50y = 385.50
-0.50y+311.50+1.50y=385.50
Y+311.50=385.50
Y= 385.50-311.50
Y= 74
Now substitute y answer to first equation to find x
X+y=311
X+ 74=311
X= 311-74
X= 237
So 237 students tickets and 74 non students tickets
Make each known side into a ratio like so...
75/6
(Because 75 is the shadow casted by the building, and 6 is the shadow casted by sarah)
and 50/x
(50 is how tall the building is and sarah's height is what needs to be found)
Therefore,
75 50
---- -----
6 x
Do cross products;
50 x 6 = 75 x X
300 = 75x
Divide by 75
x = 4ft
Answer:
18 units
Step-by-step explanation:
The centroid is located 1/3 the distance from the midpoint of a side to the opposite vertex. That means ...
CG = 2·DG = 6 + DG
Then
DG = 6 . . . . . . subtract DG from the above equation
Of course, ...
CD = CG +DG = 2·6 +6
CD = 18
Answer:
choice 4
Step-by-step explanation:
complementary angles sum to 90
6 + 2n > 12 |subtract 6 from both sides
2n > 6 |divide both sides by 2
n > 3
