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lutik1710 [3]
3 years ago
11

The North Colony Trail at Royal Gorge, Colorado, is 18 miles long. Stacey has hiked eight miles to a resting spot. She hikes the

rest of the trail at two miles per hour. When Stacey reached the sixteenth mile, how long has she been walking from the resting spot? Can someone please help I need a good grade please!

Mathematics
1 answer:
Kruka [31]3 years ago
7 0

Answer:

4 h

Step-by-step explanation:

The resting spot was at the 8 mi mark.

When Stacey reached the 16th mile, they had covered  

16 mi - 8 mi = 8 mi

They took 2 h for every 1 h, so

\text{Time required} = \text{8 mi} \times \dfrac{\text{1 h}}{\text{2 mi}} = \textbf{4h}

It may be easier to do this calculation on a number line. Each jump of 2 mi represents 1 h, and there are four jumps, so they took four hours.

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3 years ago
A ferry departs from a port along the Sands River at 10:00 am. The ferry travels at a speed of 15 mph in still water and returns
jek_recluse [69]

Answer:

Speed of river's current = 5 mph

Step-by-step explanation:

Let 'd' be the distance covered  

 Let x be the speed of the rivers current

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time upstream = \frac{d}{15-x}

time downstream = \frac{d}{15+x}

the ferry trip upstream takes twice as long as its return trip downstream

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divide both sides by d

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cross multiply

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Add 2x on both sideds

15+3x= 30

subtract 15 from both sides and divide by 3

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3 years ago
Segment MN has endpoints at M(-5, 4) and N(7, -5). What is the midpoint of MN???? PLZ HELP
Paha777 [63]
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Has two unkown variables

Step-by-step explanation:

When there is only one equation provided with two unknown variables, it is difficult to solve for the unknown variables

The most simplified version of this equation would be VX = -14

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