Answer: the cost of an adult ticket is $21.5
the cost of a child ticket is $15.5
Step-by-step explanation:
Let x represent the cost of an adult ticket.
Let y represent the cost of a child ticket.
At an amusement park, the cost of 3 adult tickets and 4 children's tickets is $126.50. It means that
3x + 4y = 126.5- - - - - - - - - - - -1
Another customer paid $120.50 for 2 adult tickets and 5 children's tickets. It means that
2x + 5y = 120.5- - - - - - - - - - - -2
Multiplying equation 1 by 2 and equation 2 by 3, it becomes
6x + 8y = 253
6x + 15y = 361.5
Subtracting, it becomes
- 7y = - 108.5
y = - 108.5/ - 7
y = 15.5
Substituting y = 15.5 into equation 1, it becomes
3x + 4 × 15.5 = 126.5
3x + 62 = 126.5
3x = 126.5 - 62
3x = 64.5
x = 64.5/3
x = 21.5
Answer:
1) geometric sequence
2) geometric sequence
3) arithmetic sequence
Step-by-step explanation:
First two sequences are geometric sequences
The geometric sequences are sequences where each term is made by multiplying the preceding term by the same value
In here the first sequence is multiplied by 4
the second one is multiplied by -3
The third one however is set by adding 5 to the number each time
So the third one is an arithmetic sequence
Answer:
x»-2
Step-by-step explanation: