Respuesta :
The equation that represents s, the total number of seventh-grade students at the middle school is given by: Option A: [tex]18 = 0.1s[/tex]
How to find the one-nth part of a thing?
Suppose that the whole thing is of value V.
Then its one-nth part is symbolically written as: [tex]V \times \dfrac{1}{n}[/tex] (V is divided in n equal part, and each part is called one-nth part of V).
For the considered case, we've got the figures as:
Every seventh grade student at considered school takes one language class. It means, if s = Total number of seventh grade student, then:
[tex]\dfrac{s}{7}[/tex] is the number of students taking language class.
Now, it is said that: One-tenth of the seventh grade students like French, and that they are total 18 in counts.
Writing it symbolically gives:
[tex]\dfrac{s}{10} = 18[/tex]
Since we know that [tex]\dfrac{a}{b} = a \times \dfrac{1}{b}[/tex]
Thus,
[tex]\dfrac{s}{10} = s \times \dfrac{1}{10} = s \times 0.1= 18\\\\0.1 s = 18\\18 = 0.1s[/tex]
(sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Thus, the equation that represents s, the total number of seventh-grade students at the middle school is given by: Option A: [tex]18 = 0.1s[/tex]
Learn more about forming equations here:
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