Answer:
(5,2,2)
Step-by-step explanation:
-3x+4y+2z = -3
2x-4y-z=0
y = 3x-13
Multiply the second equation by 2
2*(2x-4y-z)=0*2
4x -8y -2z =0
Add this to the first equation to eliminate z
-3x+4y+2z = -3
4x -8y -2z =0
-------------------------
x -4y = -3
Take the third equation and substitute it in for y
x - 4(3x-13) = -3
Distribute the 4
x - 12x +52 = -3
Combine like terms
-11x +52 = -3
Subtract 52 from each side
-11x +52-52 = -3-52
-11x = -55
Divide by -11
-11x/-11 = -55/-11
x=5
Now we can solve for y
y =3x-13
y =3*5 -13
y = 15-13
y=2
Now we need to find z
2x-4y-z=0
2(5) -4(2) -z=0
10-8 -z=0
2-z=0
Add z to each side
2-z+z= 0+z
2=z
x=5, y=2, z=2
(5,2,2)
Answer:
Rate of change = 4,06 f/min
Step-by-step explanation:
The ascendent length 28 9/10 = 289/ 10
The time for that ascendent maneuver is total time 17 1/8 minutes - spended time in the elevation 10 minutes, then
17 1/8 = 137/8
137/8 - 10 = ( 137 - 80 ) /8 = 57/8 minutes
The rate of change in the diver´s elevation is
289 / 10 / 57/8
Rate of change = 289*8/ 57*10
Rate of change = 2312 / 570 ft/min
Rate of change = 4,06 f/min
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Answer:
Austin's hourly wage is $8.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
Tara's hourly wage is x.
Kayte's hourly wage is y.
Austin's hourly wage is z.
Tara earns twice as much per hour as Kayte.
This means that 
Kayte earns $3 more per hour than Austin.
This means that 
As a group, they earn $41 per hour.
This means that 
What is Austin's hourly wage?
This is z.
and , so 
Austin's hourly wage is $8.
