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Dmitrij [34]
3 years ago
12

A concert has tickets for sale. student tickets cost $3.50 and adult tickets cost $5.50. If 30 tickets were sold for a total of

$145, how many of each type was sold?
(help me with number 4 too maybe?)

Mathematics
1 answer:
KengaRu [80]3 years ago
4 0

Answer: #5 is 10 student tickets and 20 adult tickets


Step-by-step explanation:


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Would each of them be able to be the side lengths of a triangle?
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Pythagoras Theorem:
hipotenuse²=leg₁²+leg₂²

First posible triangle:
hypotenuse=13    (13²=169)
leg₁=12                ( 12²=144)
leg₂=5                  (5²=25)

13³=144 + 25


Answer:can be side lengths of a triangle

Second triangle:
 hypotenuse=12.6    (12.6²=158.76)
leg₁=6.7                ( 6.7²=44.89)
leg₂=6.5                  (6.5²=42.25)

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Answer: cannot be side lenghts of a triangle.

third triangle:
hypotenuse=13    (13²=169)
leg₁=12                ( 12²=144)
leg₂=11                  (11²=121)

leg₁²+leg₂²=144+121=265≠169

Answer: cannot be side lenghts of a triangle.

fourth triangle:
hypotenuse=13   (13²=169)
leg₁=6                ( 6²=36)
leg₂=4                  (4²=16)

leg₁²+leg₁²=36+16=52≠169

Answer: cannot be side lenghts of a triangle.
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