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:
f(1) = -7
Step-by-step explanation:
Step 1: Define
f(x) = -x² + x - 7
f(1) = x = 1
Step 2: Substitute and Evaluate
f(1) = -(1)² + 1 - 7
f(1) = -1 + 1 - 7
f(1) = -7
Answer:
y = 32
Step-by-step explanation:
sqrt(2y) +3 = 11
Subtract 3 from each side
sqrt(2y) +3-3 = 11-3
sqrt(2y) = 8
Square each side
(sqrt(2y))^2 = 8^2
2y = 64
Divide by 2
2y/2 = 64/2
y = 32
Answer:
Carlos is 35 years old now
Step-by-step explanation:
Assume that Carlos is x years old now
∵ Carlos is x years old now
∵ Carlos is 33 years younger than Kristen
- Kirsten's age is the sum of x and 33
∴ Kirsten is x + 33 years old now
2 years ago
∵ Carlos's age = x - 2
∵ Kristen's age = x + 33 - 2 = x + 31
∵ Kristen's age was 2 times Carlos's age
- Equate Kristen's age by 2 times Carlos's age
∴ x + 31 = 2(x - 2)
- Simplify the right hand side
∴ x + 31 = 2x - 4
- Subtract x from both sides
∴ 31 = x - 4
- Add 4 to both sides
∴ 35 = x
∵ x represents Carlos's age now
∴ Carlos is 35 years old now
Answer:
3x ＞ 37
x ＞ 12.333
Thus, 13 and 15 satisfy
Step-by-step explanation:
hope this helps
