Answer:
a) System of equations will be: 
b) Number of adult tickets sold = 263
Number of students tickets sold = 237
Step-by-step explanation:
Let:
Number of adult tickets sold = x
Number of students tickets sold = y
a)
As Marc sold total 500 tickets, the expression will be: 
Student tickets cost $2 and adult tickets cost $5. Marc's sales totalled $1,789.
The expression will be: 
So, system of equations will be:
b)
Solve the system to find value of x and y
Let:
Multiply equation 1 by 2 and subtract
We get value of x = 263
Now finding value of y by putting value of x in eq(1)
We get value of y = 237
Number of adult tickets sold = x = 263
Number of students tickets sold = y = 237
Answer:
the change is 8.4 degrees
Step-by-step explanation:
1.2x7=8.4
Answer:
100 pi cm^2
or approximately 314 cm^2
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
The radius is 5
SA = 4 *pi * 5^2
SA = 4*pi(25
SA = 100 pi cm^2
If pi is 3.14
SA = 100 *3.14 = 314 cm^2
Answer:
Step-by-step explanation:
These angles will be equal when each of them measures 45 degrees. On the unit circle, 45 degrees and reference angles of 45 degrees are the only places where sin and cos are the same. This means that
sin(4x + 10) = 45 and cos(6x) = 45
If we add the angles together (the angles being 4x+10 and 6x) we get a 90 degree angle. Thus,
4x + 10 + 6x = 90 and
10x = 80 so
x = 8. Let's try it out:
sin(4(8) + 10) = sin(42) = .6691306064 and
cos(6(8)) = cos(48) = .6691306064
Yay!!!!!
The graph of the region is attached. The coordinates of the centroid are (5/3, 1).
The coordinates of the centroid are found by averaging the coordinates of the region;
Oₓ = (Aₓ+Bₓ+Cₓ)/3 = (0+1+4)/3 = 5/3
O(y) = (A(y) + B(y) + C(y)) = (0+3+0)/3=3/3=1
