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Nookie1986 [14]
3 years ago
13

The registrar's office at ACC predicts that 30% of the 6,950 spaces open in various math classes will be filled

Mathematics
1 answer:
Nesterboy [21]3 years ago
7 0

Answer:

  a)  70%

  b)  4865

Step-by-step explanation:

a) We assume that 100% of spaces are available prior to the first week of registration, so filling 30% will leave 70% available.

__

b) 70% of 6950 is ...

  0.70×6950 = 4865 . . . spaces available after the first week

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Answer:

The number of hours Moran wold have driven before Andre catches up with him is 14 hours

Step-by-step explanation:

The given information are;

The speed with which Andre will drive = 70 miles per hour

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The time of departure of Morgan = 3 hours before Andre departs

Let the time at which Andre catches up with Morgan be, t

We have, from the definition of distance traveled;

Distance traveled =Speed × Time

The distance Morgan would have driven in t hours = 55 × t

Given that to catch up with Morgan, Andre has to travel the same distance, and that Andre starts 3 hours late, we have;

The distance Andre would  drive when Morgan has driven for t hours = 70 × (t - 3)

Therefore, since the distance at the point they meet is the same distance for them both, we have;

55 × t = 70 × (t - 3)

55 × t = 70 × t - 210

210 = 70 × t - 55 × t  = 15 × t

t = 210/15 = 14 hours

Therefore, Morgan would have driven for 14 hours before Andre catches uo with him.

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