Let x be rate of boat in still water
let y be rate of current
we use this equation to relate quantities:
distance = speed · time
we have two unknowns so we might need to create a system of equationss
upstream:
speed (in km/h) = x - y
(we get speed of boat then subtract the current's speed from it since current is going against boat direction)
time = 3 hours
distance = 144 km
downstream:
speed (in hm/h) = x + y
(we get speed of boat then add the current's spd from it since current is going against boat direction)
time = 2 hours
distance = 144 km (same distance upstream and downstream)
using distance = speed times time
for upstream
144 = 3(x-y)
144 = 3x - 3y
for downstream
144 = 2(x+y)
72 = x + y
system of eqns:
144 = 3x - 3y
72 = x + y
solve by substitution: move 72 = x + y into x = 72 - y and subst into other equation for x
144 = 3(72 - y) - 3y
144 = 216 - 3y - 3y
144 = 216 - 6y
144 - 216 = -6y
-72 = -6y
y = 12 km/h
Use x = 72 - y to find x with y = 12: x = 72 - 12 = 60 km/h
rate of boat in still water is 60 km/h
rate of the current is 12 km/h
Answer:
its point b
Step-by-step explanation:
the square root of 3 rounds off to 1.7 so looking at the chart point b is closest to that
Answer:
Dalisay
Step-by-step explanation:
3/5=0.6 (Kendra)
5/7≈ 0.75 (Dalisay)
5/7>3/5, so Dalisay hits the target more.
Answer:
6n + 12
Step-by-step explanation:
Given an integer n, the 3 consecutive even integers greater than 2n are 2n+2, 2n+4 and 2n+6
Taking their sum;
Sum = (2n+2)+(2n+4)+(2n+6)
Sum = 2n+2n+2n+2+4+6
Sum = 6n + 12
Hence the sum of the 3 consecutive even integers greater than 2n is 6n+12
3 feet is 36 inches.
36 x 4 is 144.
There are 144 1/4 inch pieces in 3ft of fishing line.
