Respuesta :
Here you go, hope it's right. The top one is the equation and the bottom one is the work to get the answer.
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Answer:
[tex]4\frac{5}{8}[/tex] inches
Step-by-step explanation:
Let initial length of the plant was "x" inches.
Plant grew [tex]2\frac{5}{8}[/tex] inches or [tex]\frac{21}{8}[/tex] inches per month.
So after one month height of the plant = [tex]\frac{x+21}{8}[/tex] inches
Height of the plant after one month = [tex]7\frac{1}{4}[/tex] or [tex]\frac{29}{4}[/tex] inches
So expression will be
[tex]\frac{x+21}{8}[/tex] = [tex]\frac{29}{4}[/tex]
We further solve it x = [tex]\frac{29}{4}[/tex] - [tex]\frac{21}{8}[/tex]
= [tex]\frac{58-21}{8}[/tex]
= [tex]\frac{37}{8}[/tex]
or x = [tex]4\frac{5}{8}[/tex] inches
therefore, initial of the plant was [tex]4\frac{5}{8}[/tex] inches height.