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Andreyy89
3 years ago
14

The teachers sold 32 tickets this is 80% of the tickets given to the teachers how many tickets were given to the teachers

Mathematics
2 answers:
Crank3 years ago
7 0
To do this we set 80% = 32 and find 10%
10% = 32/8 = 4
Therefore we can say that 100% = 4 * 10 = 40

40 ticket were given to the teachers.
UkoKoshka [18]3 years ago
6 0
You would give the teacher 40 tickets
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One ordered pair (a,b) satisfies the two equations ab^4 = 384 and a^2 b^5 = 4608. What is the value of a in this ordered pair?
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Answer: a = 3∛2

<u>Step-by-step explanation:</u>

ab⁴ = 384     --> a = 384/b⁴

Substitute a = 384/b⁴ into the second equation to solve for "b".

   a²b⁵ = 4608

\bigg(\dfrac{384}{b^4}\bigg)^2\cdot b^5=4608\\\\\\\dfrac{147,456b^5}{b^8}=4608\\\\\\\dfrac{147,456}{b^3}=4608\\\\\\\dfrac{147,456}{4608}=b^3\\\\\\32=b^3\\\\\\\sqrt[3]{32} =b\\\\\\2\sqrt[3]{4} =b

Substitute b = 2∛4 into the first equation to solve for "a".

ab⁴ = 384

a(2∛4)⁴ = 384

        a  = 384/(2∛4)⁴

        a = 24/4∛4

           = 6/∛4

           = 6(∛2)/2

           = 3∛2

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