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Solve for m, a, t, and h.

 

mat = 1/8

mah = 32

mth = 1/3

ath = 81/4

 Feb 8, 2022
 #1
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We have four equations four unknowns. The first step is to multiply all 4 eqations together, and we get: \(m^3a^3t^3h^3=27\).

 

Cube rooting both sides of the new equation we get: \(math = 3\)    (equation5)

 

Taking equation5 and dividing it by equation 1 we get: \(h = 24\)

 

Taking equation5 and dividing it by equation 2 we get: \(t = {3\over32}\)

 

Taking equation5 and dividing it by equation 3 we get: \(a = 9\)

 

Taking equation5 and dividing it by equation 4 we get: \(m = {4\over27}\)

 

Those are our four values for m, a, t, and h. smiley

 Feb 8, 2022

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