Question

spiral review

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

Explanation:

Problem 6: Solve each equation (fraction and decimal)

Equation: \( 2x = 3 \)

Step 1: Isolate \( x \)

Divide both sides by 2: \( x = \frac{3}{2} \)

Step 2: Convert to decimal

\( \frac{3}{2} = 1.5 \)

Step 1: Isolate \( y \)

Divide both sides by 5: \( y = \frac{3}{5} \)

Step 2: Convert to decimal

\( \frac{3}{5} = 0.6 \)

Step 1: Isolate \( z \)

Divide both sides by \( 0.3 \): \( z = \frac{0.09}{0.3} \)
Simplify (multiply numerator/denominator by 100): \( z = \frac{9}{30} = \frac{3}{10} \)

Step 2: Convert to decimal

\( \frac{3}{10} = 0.3 \)

Answer:

(Fraction: \( \frac{3}{2} \), Decimal: \( 1.5 \))

Equation: \( 5y = 3 \)