<u>Answer:</u>
Speed of the boat in still water = 6.125 miles/hour
<u>Step-by-step explanation:</u>
We are given that a boat travels 33 miles downstream in 4 hours and the return trip takes the boat 7 hours.
We are to find the speed of the boat in the still water.
Assuming
to be the speed of the boat in still water and
to be the speed of the water.
The speeds of the boat add up when the boat and water travel in the same direction.


And the speed of the water is subtracted from the speed of the boat when the boat is moving upstream.

Adding the two equations to get:

+ 
___________________________

Solving this equation for
and substituting the given values for
:




Therefore, the speed of the boat in still water is 6.125 miles/hour.
Answer:
all real numbers such as 0<y<40
Step-by-step explanation:
as the tub is draining water, it will never exceed original amount of 40. the lowest amount of water you can have is 0, never below 0
Rewriting the question, the given lengths that were cut from the board were 30 3/4 inches, 12 1/4 inches, and 16 1/4 inches. To obtain the remaining length of the board, all of the measurements cut are to be added and subtracted from 72 inches. This is shown below:
30 3/4 + 12 1/4 + 16 1/4 = 237/4 = 59.25 inches.
Remaining length of board = 72 - 59.25 = 12.75 inches.
Therefore, there will be 12.75 inches remaining of the board.
Answer:
y= -2x +39
Step-by-step explanation:
y= mx+b
m is the slope which is given -2
since we don't know b we can solve the rest using the formula y-y1{ m(x-X1(
y - 15 = -2(x-12)
simplify
y-15= -2x +24
y= -2x + 39