Answer:
r=-45
Step-by-step explanation:
<u>r/5=-9</u>
OUR GOAL: To isolate the variable "r" on one side...
1) Multiply both sides of the equation by 5 to get r on one side:
r=-9*5
2) Multiply:
r=-45
Let me know if you have any question
Answer:
Step-by-step explanation:
Let b
Bill's rate of travel = x
Let Julie's rate of travel = 3x
The time each travels is 2.5 hours
Together they travel a distance of 190 miles
d = r*t
Bill's distance covered is r * t = 2.5x
Julie's distance travel is 2.5 * 3x = 7.5x
The total distance = Bill + Julie
2.5x + 7.5x = 190
10x = 190
x = 190/10
x = 19
Bill's distance = 2.5 * 19 = 47.5
Julie's distance = 19 * 7.5 = 142.5
Rate = distance / time
Bill's rate = 47.5 / 2.5 = 19 miles per hour.
Julie's rate = 142.5/2.5 = 57 miles per hour
Is there an easier way?
You should notice that Bill's rate is just x which is 19 miles / hour
You can also notice that Julie is going 3 times as fast or 19*3 = 57
Answer:
44°
Step-by-step explanation:
The reference angle is the magnitude of the smallest angle between the terminal ray and the x-axis.
Your angle is one full circle clockwise plus 44° more (-360° -44° = -404°), so makes an angle of -44° with respect to the positive x-axis. The magnitude of that is 44°.
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<em>Using a function</em>
The attachment shows a calculator function that can be used to find the reference angle for any angle. (Replace the value -404 with the angle of your choice.)
3/5 = 6/10 (which is 60%) 100% - 60% = 40%
