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Tracey wants to ride her bicycle at least 150 miles this week. She has already ridden her bicycle 42 miles. If she plans on riding her bicycle the same distance each day for the rest of the week, which inequality could be used to determine the number of miles, m, she would need to ride her bicycle each day for six

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opudodennis

Answer:

[tex]m=\frac{108}{x}[/tex]

m=18 mi/day

Step-by-step explanation:

#The distance remaining is:

[tex]d=150-42\\\\=108 \ miles[/tex]

Let m be the number of miles per day for the remaining distance and let x be the remaining number of days:

[tex]v=\frac{d}{t}, v-speed, t-time, d-distance\\\\m=\frac{108}{x}\\\\[/tex]

#Given that the remaining number of days is 6, we substitute and solve for m:

[tex]v=\frac{d}{t}, v-speed, t-time, d-distance\\\\m=\frac{108}{6}\\\\=18\ mile/day[/tex]

Hence her speed per day is 18 mile/day using the inequality [tex]m=\frac{108}{x}[/tex]

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