Answer:
The depth the Hook is at would be 10.35 feet
Step-by-step explanation:
It is down 7.1 feet already and when it descends 3.25 feet it is now even lower
Answer: 18.66 miles per hour.
Step-by-step explanation:
The velocity of the Kayak can be written as the velocity of the kayak in still water plus the rate of the current.
If K is the velocity of the kajak, and C the velocity of the current, we have that:
When the kajak moves along with the current, for a given time T.
(K + C)*T = 10mi
when the kajak move against the current:
(K - C)*T = 4mi
now we can replace C by 8mph, and take the quotient of both equations:
((K + 8mph)*T)/(K - 8mph)*T)) = 10mi/4mi
(K + 8)/(K-8) = 10/4
K + 8 = (K- 8)*10/4
K + 8 = K*10/4 - 20
K*10/4 - K = K*6/4 = 20 + 8 = 28
K = 28*4/6 = 18.66
So the rate of the kajak is 18.66 miles per hour.
Answer:
1) one solution
2) Infinitely many solution
3) no solution
Step-by-step explanation:
The first equation is -14-8x=-2(-3x+7)
Let us expand the right hand side to get:
-14-8x=-2*-3x+-2*7
We multiply -14-8x=6x-14
We group similar terms to get:
-8x-6x=-14+14
Combine similar terms to get:
-14x=0
Divide through by -14 to get:
x=0
2) The second equation is 3+5x=5(x+2)-7
We expand to obtain:
3+5x=5x+5*2-7
Multiply to get:
3+5x=5x+10-7
This gives us
3+5x=5x+3
5x=5x
1=1
There is infinitely many solutions
3) The third equation is: 36-7x=-7(x-5)
We expand to get:
36-7x=-7x+35
Group similar terms;
-7x+7x=35-36
0=-1
This statement is not true so there is no solution.
Answer:41
Step-by-step explanation:
Answer:
v=2
Step-by-step explanation:
add five to the other side and: -8v=(-21+5)
divide -16 by -8: v= -16/-8
v=2