Rearranging the equation gives us y=15-3x
if we were to find an equation for a PARALLEL line, we would just use the same slope.
if we were to find an equation for a PERPENDICULAR line, we would do the opposite reciprocal. in this case, that would be answer D. but this is WRONG!
the question asks us to find the slope of a PARALLEL line. thus, the answer is C.
final answer -- C.
Answer: it will take 9 hours to empty the pool.
Step-by-step explanation:
The pool is shaped like a rectangular prism with length 30 feet, wide 18 ft, and depth 4ft. It means that when the pool is full, its volume is
30 × 18 × 4 = 2160 ft³
If water is pumped out of the pool at a rate of 216ft3 per hour, then the rate at which the water in the pool is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence(initial amount of water in the pool when completely full).
d represents the common difference(rate at which it is being pumped out)
n represents the number of terms(hours) in the sequence.
From the information given,
a = 2160 degrees
d = - 216 ft3
Tn = 0(the final volume would be zero)
We want to determine the number of terms(hours) for which Tn would be zero. Therefore,
0 = 2160 - 216 (n - 1)
2160 = 216(n - 1) = 216n + 216
216n = 2160 - 216
216n = 1944
n = 1944/216
n = 9
Answer:
the future diary
Step-by-step explanation:
From the options given, Dustin's hopscotch path was the longest in comparison to the other two friends.
<h3>How to find out who had the longest path?</h3>
- Make sure all distances use the same units.
- If necessary convert the distances.
- Compare the distances.
Based on this, let's make sure all distances are in feet.
- Jasmin: 1100 in or 91.66 feet
- Each inch is equivalent to 0.0833
- Dustin: 32 yards or 96 feet
- 1 yard = 3 feet
- 32 x 2 = 96 feet
Based on this, the person with the longest path is Dustin.
Learn more about distances in: brainly.com/question/15172156
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