Answer:
the third answer
Step-by-step explanation:
c = 4
c + 1 = 1 + 1 + 1 + 1 + 1
4 + 1 = 1 + 1 + 1 + 1 + 1
5 = 5
Answer:
Hello,
Answer 163
Step-by-step explanation:
1,7,16,28,43,..., 10th term=?
If the circle is at the origin and (0,4) is a point on the circle then the radius of the circle is:
r^2=0^2+4^2
r^2=16
r=4
so we can check that the other point is four units from the origin and thus also on the circle...
d^2=2^2+6^2
d^2=4+36
d^2=40
since d^2>r^2, (2,6) is outside the circle...
Answer:
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
Step-by-step explanation:
Cost of tickets
Adults = $6
Teachers = $4
Students = $2
Total tickets sold = 280
Total revenue = $1010
Let
x = number of adults tickets
y = number of teachers tickets
z = number of students tickets
x + y + z = 280
6x + 4y + 2z = 1010
If the number of adult tickets sold was twice the number of teacher tickets
x = 2y
Substitute x=2y into the equations
x + y + z = 280
6x + 4y + 2z = 1010
2y + y + z = 280
6(2y) + 4y + 2z = 1010
3y + z = 280
12y + 4y + 2z = 1010
3y + z = 280 (1)
16y + 2z = 1010 (2)
Multiply (1) by 2
6y + 2z = 560 (3)
16y + 2z = 1010
Subtract (3) from (2)
16y - 6y = 1010 - 560
10y = 450
Divide both sides by 10
y = 450/10
= 45
y = 45
Substitute y=45 into (1)
3y + z = 280
3(45) + z = 280
135 + z = 280
z = 280 - 135
= 145
z = 145
Substitute the values of y and z into
x + y + z = 280
x + 45 + 145 = 280
x + 190 = 280
x = 280 - 190
= 90
x = 90
Therefore,
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
