Each roll has 100 tickets, and 32 were bought.
Multiply 32 with 100
32 x 100 = 3200
3200 tickets were bought in all
hope this helps
Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
Answer:
x=-4 and y=4
Step-by-step explanation:
(6x+9y)-(6x+7y)=12-4=8
--> 9y-7y=8
-->2y=8-->y=4
-->6x+7×4=4 -->x=-4
The 30th term of this sequence would be 248
If the sample is random, it is not valid.