Answer: Yes; " d/t = r " ;
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is, in fact, an equivalent equation to: "d = r t" .
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Explanation:
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Consider the equation: "d = rt" (which is, " d = r*t ").
We are asked if: " d/t = r " an "equivalent equation" [ to: " d = rt "] .
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Note that: "d/t = r " is the same as: ↔ "r = d/t ".
So, given: "d = rt" ; let us rewrite the equation, by isolating: "r" on one side of the equation:
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→ d = r t ; divide EACH SIDE of the equation by "t" ; to isolate "r" on one side of the equation:
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→ d/t = (r*t) / t ; to get:
→ d/t = r ; so yes; "d/t = r" and: "d = rt" are equivalent equations.
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Note: In practice, these variables are often used in the formula:
"d = rt" ; or, "distance = rate * time" .
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