Question

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spiral review

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

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

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:

For Problems 6:

Step1: Isolate $x$

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

Step2: Isolate $y$

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

Step3: Isolate $z$

$z=\frac{0.09}{0.3}=\frac{9}{300}=\frac{3}{100}=0.03$

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For Problems 7-10:

Step1 (Problem7): Calculate 2 laps distance

$2 \times 400 = 800$

Step2 (Problem8): Calculate 5 laps distance

$5 \times 400 = 2000$

Step3 (Problem9): Calculate $x$ laps distance

$x \times 400 = 400x$

Step4 (Problem10): Solve for lap count

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

Answer:

Equation	Solution (Fraction)	Solution (Decimal)
$5y=3$	$\frac{3}{5}$	$0.6$
$0.3z=0.09$	$\frac{3}{100}$	$0.03$