It’s 18 have a amazing day?????? yeah hah spring break
Answer: the trip (one-way) that Alan made on Saturday was 63 miles.
Step-by-step explanation:
Let x represent the distance of the trip that Alan made on Saturday.
Let t represent the time that it took Alan to make the trip on Saturday.
On Saturday, Alan traveled North along minor roads averaging 36 mph to visit a friend.
Distance = speed × time.
Therefore, distance travelled on Saturday would be
x = 36 × t = 36t
On Sunday, he traveled East along main roads averaging 60 mph to visit his mother. The trip to visit his mother was 24 miles longer and took 18 minutes(18/60 = 0.3 hours) less. This means that the distance travelled would be
x + 24 and the time spent would be t - 0.3 hours.
Distance travelled on Sunday would be
x + 24 = 60(t - 0.3)
x + 24 = 60t - 18 - - - - - - -- - - 1
Substituting x = 36t into equation 1, it becomes
36t + 24 = 60t - 18
60t - 36t = 24 + 18
24t = 42
t = 42/24 = 1.75
x = 36t = 36 × 1.75
x = 63 miles
The slope of the line in the table given is 11
<h3>Slope of a Line</h3>
In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.
The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by
m = y₂ - y₁ / x₂ - x₁
Taking two points from the table
m = 1172 - 864 / 72 - 44
m = 11
The slope of the line is 11
Learn more on slope of a line here;
brainly.com/question/16949303
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Answer: (75, 135)
Step-by-step explanation:
Because the empirical rule is 3 standard deviations of the mean you would add and subtract to get your desired interval.
In this case our mean is 105 and our deviation is 10.
What you would do is add 10 to 105, 3 times to find your greatest number and the you would subtract 10 from 105, 3 times to get your lowest number.
105 + 10 + 10 + 10 = 135
105 - 10 - 10 - 10 = 75
Answer: (75, 135)
