The system of equations would be:
64x+132y = 1040
x = 2y
We multiply the number of adult tickets, 64, by the cost of the adult tickets, x. We multiply the number of student tickets, 132, by the cost of the student tickets, y. Together these add up to $1040.
We know that the cost of an adult ticket is twice as much as a student ticket, so x = 2y.
Answer: 
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Work Shown:
6x-y = -3 is the same as 6x-y+3 = 0
6x-y+3 = 0 is the form Ax+By+C = 0 with A = 6, B = -1, C = 3.
The distance d that line is from the point (p,q) = (6, 2) is found by the following
Answer: -1>n
Step-by-step explanation:1) combine like terms (-5n+2n=-3n) so you have 3<-3n then you divide -3 on both sides and because it’s a negative you flip the sign so you end up with -1>n
9514 1404 393
Answer:
- 8, 20, 32, 44, 56
- arithmetic
Step-by-step explanation:
The words "common difference" tell you this is an arithmetic sequence. A geometric sequence will have a <em>common ratio</em> between terms.
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The common difference is added to each term to get the next.
first term: 8 -- given
second term: first term + common difference = 8 + 12 = 20
third term: 20 +12 = 32
fourth term: 32 +12 = 44
fifth term: 44 +12 = 56
The first 5 terms of this arithmetic sequence are 8, 20, 32, 44, 56.
Answer: B
Explanation: No triangle can be formed.
According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.
Here, the sides are 14 cm, 8 cm, and 5 cm.
14cm + 8 cm = 22 cm > 5cm (theorem followed)
14 cm + 5 cm = 19 cm > 8 cm (theorem followed)
8 cm + 5 cm = 13 cm < 14 cm (theorem not followed)
Since, the triangle inequality theorem is not followed, Hence, no triangle can be formed.
