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KonstantinChe [14]
3 years ago
14

Factor 54c–9d. Write your answer as a product with a whole number greater than 1

Mathematics
1 answer:
lisov135 [29]3 years ago
5 0

Answer:

9(6c - d)

Step-by-step explanation:

54c - 9d  \\ = 9 \times 6c - 9d \\  = 9(6c - d) \\

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Answer:

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Recall your d = rt, distance = rate * time.

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now, when Jeff catches up with Roger, the distance covered by both will be the same, say "d" miles, because, at that millisecond, Jeff will be neck and neck with Roger, and their covered distance will be the same.

now, Jeff is generous and let Roger roll on for 1 minute before him, so, by the time time Roger has covered "d" miles, he has been running for say "t" minutes.

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\bf \begin{array}{lccclll}&#10;&\stackrel{miles}{distance}&\stackrel{mpm}{rate}&\stackrel{minutes}{time}\\&#10;&------&------&------\\&#10;Roger&d&\frac{1}{8}&t\\\\&#10;Jeff&d&\frac{1}{6}&t-1&#10;\end{array}&#10;\\\\\\&#10;\begin{cases}&#10;\boxed{d}=\frac{1}{8}t\\\\&#10;d=\frac{1}{6}(t-1)\\&#10;------\\&#10;\boxed{\frac{1}{8}t}=\cfrac{t-1}{6}&#10;\end{cases}&#10;\\\\\\&#10;\cfrac{t}{8}=\cfrac{t-1}{6}\implies 6t=8t-8\implies 8=2t\implies \cfrac{8}{2}=t\implies \boxed{\stackrel{mins}{4}=t}
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