<span>Let m = speed of motorboat
and c = speed of current
.
When going downstream, current speed is added to boat speed -- and, the total speed is "8 miles downstream in 20 minutes"
.
To convert to "miles per hour" we multiply by 60 mins per 1 hour:
(8 miles/20 mins) * (60 mins/1 hour) = 24 mph
.
This gives us our first equation (1):
m+c = 24
.
When going upstream, the boat speed is reduced by the current -- and, the total speed is "8 miles in 30 minutes".
To convert to "miles per hour" we multiply by 60 mins per 1 hour:
(8 miles/30 mins) * (60 mins/1 hour) = 16 mph
.
This gives us our second equation (2):
m-c = 16
m = 16+c
.
Plug the above into equation 1 and solve for c:
m+c = 24
16+c+c = 24
16+2c = 24
2c = 8
c = 4 mph </span>
Answer:
80°
Step-by-step explanation:
The sum of the angles of any triangle must add up to 180°. If you form a triangle with an angle of 40° and another angle of 60°, the sum of those two angles is 40 + 60 = 100, so the measure of the third angle: 180 - 100 = 80°.
Answer:
x = 2.
Step-by-step explanation:
9(x + 1) = 25 + x
9x + 9 = 25 + x
Subtract x from both sides:
9x - x + 9 = 25
Subtract 9 from both sides:
9x - x = 25 - 9
8x = 16
x = 16/8 = 2.
Answer:
67
Step-by-step explanation:
Answer:
Its definitely D
Step-by-step explanation:
Your welcome ♀️