Answer: the speed of the current is 0.6 mph
Step-by-step explanation:
Let x represent the speed of the current.
James is kayaking. He can row 3 mph in still water. If he can travel 6 miles downstream. Assuming he went with the current, it means that his total speed while travelling downstream is (3 + x)
Time = distance/speed
Time taken to travel downstream is
6/(3 + x)
In the same amount of time, he can travel 4 miles upstream. Assuming he went against the current, it means that his total speed while travelling downstream is (3 - x). Time taken to travel upstream is
4/(3 - x)
Since the time is the same, then
6/(3 + x) = 4/(3 - x)
Cross multiplying, it becomes
6(3 - x) = 4(3 + x)
18 - 6x = 12 + 4x
4x + 6x = 18 - 12
10x = 6
x = 6/10
x = 0.6 mph
All you have to do is multiply 18.3 x 5.1
18.3×5.1=93.33
It will take 93.33 minutes to repair the entire section. Hope that helps!
75-5(2×6)
75-5×12×
-60×+75
Answer:
Answer: (B) 3
Step-by-step explanation:
20x + 15(2x) + 10(3x) = 40
20x + 30x + 30x = 40
80x = 40
x = 40/80
x = 1/2
Find the amount of lobster
Lobster = x = 1/2 pound
Find the amount of crab:
Crab = 2x = 2(1/2) = 1 pound
Find the amount of Shrimp:
Shrimp = 3x = 3(1/2) = 3/2 pounds
Find the total pounds of seafood:
Total = 1/2 + 1 + 3/2 = 3 pounds
Answer: (B) 3
Answer:
A ≈ 269.81 cm²
Step-by-step explanation:
This shape is a hexagon (it has 6 sides) so let's use the formula for the area of a hexagon.
A = 
Where s is the length of the sides
Substitute:
A =
A = 
Solve:
A =
A = 
Multiply the numerator:
A =
A ≈ 
(The numerator reflects a rounded number, but the actual calculations are exact)
Divide the fraction:
A ≈
A ≈ 2.6(100)
Multiply:
A ≈ 2.6(100)
A ≈ 269.81 cm²
Therefore, the area is approximately 269.82 cubic centimeters.
