Question

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 $x$ for $2x=3$

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

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

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

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

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: Calculate 2 laps distance

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

Step2: Calculate 5 laps distance

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

Step3: Calculate $x$ laps distance

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

Step4: Find laps for 7600m

Divide total distance 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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For Problems 7-10: