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Write the sentence as an equation.\newlinethe quotient of 317317 and vv is equal to 7070\newlineType a slash ( / ) if you want to use a division sign.\newline_____\_\_\_\_\_

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Full solution

Q. Write the sentence as an equation.\newlinethe quotient of 317317 and vv is equal to 7070\newlineType a slash ( / ) if you want to use a division sign.\newline_____\_\_\_\_\_
  1. Identify operation: Identify the operation described in the sentence: ＂the quotient of 317317 and vv is equal to 7070.＂ The word ＂quotient＂ indicates a division operation.
  2. Write equation: Write the equation based on the operation and the given values. The quotient of 317317 and vv can be represented as 317v\frac{317}{v}. Set this equal to 7070 to form the equation: 317v=70\frac{317}{v} = 70.
  3. Solve for vv: Solve the equation for vv. Multiply both sides by vv to isolate the term with vv on one side:\newline317=70×v317 = 70 \times v.
  4. Divide by 7070: Divide both sides by 7070 to solve for vv:v=31770.v = \frac{317}{70}.
  5. Calculate vv: Calculate the value of vv:v≈4.5286v \approx 4.5286.

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