Combine like terms the variables first. 4b-15b=-11b
-7+3=-4
-11b-4
Answer:
# of students = 393, # of non-students = 104
Step-by-step explanation:
We have a system of equations (# of students = s, # of non-students = n):
1. Total people attended: s + n = 497
2. Total earnings: 2.5s + 4.5n = 1450.5
We can <em>change the first equation to n = 497 - s</em>, and <em>substitute that into the other equation: 2.5s + 4.5(497 - s) = 1450.5</em>
Expand: 2.5s + 2236.5 - 4.5s = 1450.5
Subtract: 2.5s - 4.5s = 1450.5 - 2236.5
Simplify: -2s = -786
Divide: s = 393
Plug into first equation: 393 + n = 497
Subtract: n = 104
Answer:
15 minutes
Step-by-step explanation:
The speed of the first machine is 1/10 job/minute.
The speed of the older machine is x.
Their combined speed is:
x + 1/10 = 1/6
Solving for x:
x = 1/6 − 1/10
x = 5/30 − 3/30
x = 2/30
x = 1/15
The speed of the older machine is 1/15 job/minute, so it takes 15 minutes for the older machine to do the job alone.
I hope this helps you
x>10+7
x>17
So it is 1.75 feet per second and you go 280 feet.
You would do 280/1.75=x
x=160
It will take you 160 seconds to go 280 feet
It takes 160 seconds