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Alenkinab [10]
2 years ago
6

Can someone help me with 7 1/2 ÷ 1 9/10 please and thank you

Mathematics
2 answers:
Ahat [919]2 years ago
5 0
\frac{ 7\frac{1}{2} }{1 \frac{9}{10} } =  \frac{3.5}{0.9} =3.88888888889
Evgen [1.6K]2 years ago
4 0
7 1/2÷ 1 9/10 = 15/2 ÷19/10 = 15/2x10/19 = 159/38 = 4 7/38


4 7/38 (Answer)
_____
38 )159
152
__________
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a'(d) = \frac{d}{5} + \frac{3}{5}

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Step-by-step explanation:

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a(d) = 5d - 3

Solving (a): Write as inverse function

a(d) = 5d - 3

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y = 5d - 3

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d = 5y - 3

Make y the subject

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y = \frac{d}{5} + \frac{3}{5}

Replace y with a'(d)

a'(d) = \frac{d}{5} + \frac{3}{5}

Prove that a(d) and a'(d) are inverse functions

a'(d) = \frac{d}{5} + \frac{3}{5} and a(d) = 5d - 3

To do this, we prove that:

a(a'(d)) = a'(a(d)) = d

Solving for a(a'(d))

a(a'(d))  = a(\frac{d}{5} + \frac{3}{5})

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a'(a(d)) = a'(5d - 3)

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Add fractions

a'(a(d)) = \frac{5d - 3+3}{5}

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a'(a(d)) = d

Hence:

a(a'(d)) = a'(a(d)) = d

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