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?

Explanation:

For Question 6:

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

$x=\frac{3}{2}$

Step2: Convert to decimal

$\frac{3}{2}=1.5$

Step3: Solve $5y=3$ for $y$

$y=\frac{3}{5}$

Step4: Convert to decimal

$\frac{3}{5}=0.6$

Step5: Solve $0.3z=0.09$ for $z$

$z=\frac{0.09}{0.3}=\frac{9}{30}=\frac{3}{10}$

Step6: Convert to decimal

$\frac{3}{10}=0.3$

Step1: 2 laps, calculate total meters

$2 \times 400 = 800$

Step2: 5 laps, calculate total meters

$5 \times 400 = 2000$

Step3: $x$ laps, calculate total meters

$x \times 400 = 400x$

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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For Questions 7-9: