Answer: at 50 mph, she drove for 4 hours.
at 45 mph, she drove for 2 hours.
Step-by-step explanation:
Let t represent the time that she spent driving at 50 miles per hour.
Taylor took 6 hours to drive home from college for Thanksgiving break. This means that the time that she spent driving at 45 miles per hour is (6 - t) hours.
Distance = speed × time
Distance covered while driving 50 miles per hour is
50t
Distance covered while driving 45 miles per hour is
45(6 - t)
Since the total distance that she drove is 290 miles, it means that
50t + 45(6 - t) = 290
50t + 270 - 45t = 290
50t - 45t = 290 - 270
5t = 20
t = 20/5 = 4
At 45 miles per hour, she drove at
6 - 4 = 2 hours
Answer: Linear
Explanation: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Answer:
b = -125/9
Step-by-step explanation:
1 + log5 ( -9b) = 4
Subtract 1 from each side
1 -1+ log5 ( -9b) = 4-1
log5 ( -9b) = 3
Raise each side to the base 5
5^ log5 ( -9b) = 5^3
This will cancel the log5
-9b = 125
Divide each side by 9
-9b/-9 = 125/-9
b = -125/9
The answer to the problem is:
<span>8j^3 + 5j^2 - 3 - 5j^3 - 7j^2 + 12j - 7
</span>
<span>3j^3 - 2j^2 + 12j - 10
</span>
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