Question

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

equation\tsolution (fraction)\tsolution (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?\t8. 5 laps?\t9. x laps?
2. if sol ran 7,600 meters, how many laps did they run? explain your thinking

Explanation:

For Question 6:

Step1: Isolate $x$

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

Step2: Isolate $y$

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

Step3: Isolate $z$

Divide both sides by 0.3: $z=\frac{0.09}{0.3}=\frac{9}{300}=\frac{3}{100}=0.03$

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For Questions 7-10:

Step1 (Q7): Calculate 2 laps distance

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

Step2 (Q8): Calculate 5 laps distance

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

Step3 (Q9): Calculate $x$ laps distance

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

Step4 (Q10): Find number of laps

Divide total meters by 400: $\frac{7600}{400}=19$
Each lap is 400 meters, so dividing total distance by per-lap distance gives the number of complete laps.

Answer:

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