Answer:
Step-by-step explanation:
-2(-1) + 7y = -54
2 + 7y = -54
-2 -2
7y = -56
Divide by 7
y = -8
Answer:
3x+3y−z−7
Step-by-step explanation:
"Let's simplify step-by-step.
4x+2y−z−(x−y+7)
Distribute the Negative Sign:
=4x+2y−z+−1(x−y+7)
=4x+2y+−z+−1x+−1(−y)+(−1)(7)
=4x+2y+−z+−x+y+−7
Combine Like Terms:
=4x+2y+−z+−x+y+−7
=(4x+−x)+(2y+y)+(−z)+(−7)"(Mathpapa)
Answer:
79 degrees
Step-by-step explanation:
180 - 73 - 28 = 79
Because a line is 180 degrees
<span>Since the h represents the number of hours spent working on the vehicle then the 75 represents the charge per hour for the work, leaving only the 0.08 which stands for the sales tax percentage which is 8% or 0.08 of the product of $75 times the number of hours worked on the car.</span>
Answer:
Alan: 200 m/min
Brian: 150 m/min
Step-by-step explanation:
Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.
To find : What are their rates, in meters per minute?
Solution :
Let n represent the number of laps that Alan completes in 9 minutes.
Then n-1 is the number of laps Brian completes.
45 seconds = 3/4 minutes.
The difference in their lap times in minutes per lap is

Solving the equation we get,








Neglecting n=-3
So, n=4
Then Alan's speed in m/min is



Brian completes 3 laps in that 9-minute time, so his rate is


Therefore, Alan: 200 m/min
Brian: 150 m/min