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!
1 answer:
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
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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<h3>Answer: Choice C</h3>
{x | x < -12 or x > -6}
=========================================================
Explanation:
Let's solve the first inequality for x.
(-2/3)x > 8
-2x > 8*3
-2x > 24
x < 24/(-2)
x < -12
The inequality sign flips when we divide both sides by a negative value.
Let's do the same for the second inequality.
(-2/3)x < 4
-2x < 4*3
-2x < 12
x > 12/(-2)
x > -6
The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.
Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.