Where is the figure?or is there not
Direction vector of line of intersection of two planes is the cross product of the normal vectors of the planes, namely
p1: x+y+z=2
p2: x+7y+7z=2
and the corresponding normal vectors are: (equiv. to coeff. of the plane)
n1:<1,1,1>
n2:<1,7,7>
The cross product n1 x n2
vl=
i j l
1 1 1
1 7 7
=<7-7, 1-7, 7-1>
=<0,-6,6>
Simplify by reducing length by a factor of 6
vl=<0,-1,1>
By observing the equations of the two planes, we see that (2,0,0) is a point on the intersection, because this points satisfies both plane equations.
Thus the parametric equation of the line is
L: (2,0,0)+t(0,-1,1)
or
L: x=2, y=-t, z=t
This is wanting you to find the average. So add up the services and divide them by the number of services. The answer is Allcante Royal Hotel, which has a mean of 8. The other one has a mean of 7
5 people
slot method
assuming 5 seats
5 choices for 1st seat
4 choices for 2nd
3 for 3rd
2 for 4th
1 for 5th
5*4*3*2*1=120
120 ways
Answer:the number of children tickets that were sold is 30.
the number of adult tickets that were sold is 70
Step-by-step explanation:
Let x represent the number of children tickets that were sold.
Let y represent the number of adult tickets that were sold.
The movie theater sells a total of 100 tickets. This means that
x + y = 100
The theater charges $6 per child's ticket and $10 per adult's ticket. The movie theater made a total of $880. It means that
6x + 10y = 880 - - - - - - - - - - -1
Substituting x = 100 - y into equation 2, it becomes
6(100 - y) + 10y = 880
600 - 6y + 10y = 880
- 6y + 10y = 880 - 600
4y = 280
y = 280/4 = 70
x = 100 - y = 100 - 70
x = 30
