Question

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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:

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Problem 6

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: $z=0.3$

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:
$\frac{7600}{400}=19$

Answer:

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

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Problems 7-10