9514 1404 393
Answer:
- kayak: 12 mph
- current: 2 mph
Step-by-step explanation:
Bunny's rate downstream is ...
(70 mi)/(5 h) = 14 mi/h = k + c
Bunny's rate upstream is ...
(70 mi)/(7 h) = 10 mi/h = k -c
The kayak speed is the average of these:
(14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2
(24 mi/h)/2 = 2k/2
12 mi/h = k
Then the current speed is ...
c = k -10 = 12 -10 = 2 . . . . mi/h
The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.
_____
<em>Additional comment</em>
World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.
Answer:
14) F
15) D
Step-by-step explanation:
14
You have 80 minutes on a CD, minus the time you burned would equal the time you have left on the CD.
15
To find mark down, you multiply the percentage to the original price, and then subtract the answer to the original price.
Answer:The area of the reduced backyard is 112.5 square feet
Step-by-step explanation:
The initial length of the backyard is 40.5 feet long.
The initial width of the backyard is 25 feet wide.
In order to install a pool, the yard needs to be reduced by a scale of 1/3. This means that the new length of the backyard is would be
40.5 × 1/3 = 40.5/3 feet lonng
The new width of the backyard would be
25 × 1/3 = 25/3 feet wide
The backyard is rectangular in shape. Area of a rectangle is length × width. The area of the reduced backyard becomes
40.5/3 × 25/3 = 1012.5/9 = 112.5 square feet
2/3 is the slope of the line :)
Answer:
x=16
Step-by-step explanation:
Complementary angles add to 90 degrees
T + V = 90
2x+10 + 48 = 90
Combine like terms
2x +58 = 90
Subtract 58 from each side
2x+58-58 = 90-58
2x = 32
Divide each side by 2
2x/2 = 32/2
x = 16