Which choice is equivalent to the expression below? 30⁰ A. 1 B. 0 C. 30 D. 302
2 answers:
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Let n and d represent the numerator and denominator of the fraction.
.. (n +1)/(d +1) = 4/5
.. (n -5)/(d -5) = 1/2
Eliminating fractions from these equations gives
.. 5(n +1) = 4(d +1)
.. 2(n -5) = (d -5)
Subtracting the first equation from 4 times the second gives
.. 4(2(n -5)) -(5(n +1)) = 4(d -5) -(4(d +1))
.. 8n -40 -5n -5 = 4d -20 -4d -4
.. 3n = 21
.. n = 7
.. 2(7 -5) = d -5
.. 9 = d
The fraction is 7/9.
.. (n +1)/(d +1) = 4/5
.. (n -5)/(d -5) = 1/2
Eliminating fractions from these equations gives
.. 5(n +1) = 4(d +1)
.. 2(n -5) = (d -5)
Subtracting the first equation from 4 times the second gives
.. 4(2(n -5)) -(5(n +1)) = 4(d -5) -(4(d +1))
.. 8n -40 -5n -5 = 4d -20 -4d -4
.. 3n = 21
.. n = 7
.. 2(7 -5) = d -5
.. 9 = d
The fraction is 7/9.
it will take 8 months for these trees to be same height
Further explanation:
Let x be the number of years then,
Type A is 5 feet tall and grows at a rate of 19 inches per year
The expression for Type A is:
5+19x
Type B is 7 feet tall and grows at a rate of 16 inches per year
The expression for Type B is:
7+16x
Putting both of them equal will give us the time in which both to be same height
Hence, it will take 8 months for these trees to be same height
Keywords: Rate of Change, Linear Equations
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