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問題

解法ステップ

1. Understand the question
   1. solve each equation. write each solution as a fraction and as a decimal

   equation | solution (fraction) | solution (decimal)
   $2x=3$
   $5y=3$
   $0.3z=0.09$

   problems 7-10: each lap around a track is 400 meters. how many meters will someone run in:

   1. 2 laps?
   2. 5 laps?
   3. $x$ laps?
   4. if sol ran 7,600 meters, how many laps did they run? explain your thinking
2. Response

   ---

   Problem 6

3. Explanation

   Step1: Solve $2x=3$ for $x$

   Divide both sides by 2:
   $x=\frac{3}{2}$
   Convert to decimal: $x=1.5$

   Step2: Solve $5y=3$ for $y$

   Divide both sides by 5:
   $y=\frac{3}{5}$
   Convert to decimal: $y=0.6$

   Step3: Solve $0.3z=0.09$ for $z$

   Divide both sides by 0.3:
   $z=\frac{0.09}{0.3}=\frac{9}{30}=\frac{3}{10}$
   Convert to decimal: $z=0.3$

4. Explanation

   Step1: 2 laps total distance

   Multiply laps by 400m:
   $2 \times 400 = 800$

   Step2: 5 laps total distance

   Multiply laps by 400m:
   $5 \times 400 = 2000$

   Step3: $x$ laps total distance

   Multiply laps by 400m:
   $x \times 400 = 400x$

   Step4: Find laps for 7600m

   Divide total meters by 400m:
   $\frac{7600}{400}=19$

5. Final answer

   | Equation | Solution (Fraction) | Solution (Decimal) |
   |----------|---------------------|--------------------|
   | $2x=3$ | $\frac{3}{2}$ | $1.5$ |
   | $5y=3$ | $\frac{3}{5}$ | $0.6$ |
   | $0.3z=0.09$ | $\frac{3}{10}$ | $0.3$ |

   ---

   Problems 7-10

答え

Question Analysis

OCR Text

6. solve each equation. write each solution as a fraction and as a decimal
equation | solution (fraction) | solution (decimal)
$2x=3$
$5y=3$
$0.3z=0.09$

problems 7-10: each lap around a track is 400 meters. how many meters will someone run in:
7. 2 laps?
8. 5 laps?
9. $x$ laps?
10. if sol ran 7,600 meters, how many laps did they run? explain your thinking

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