Short Answer: Current speed = 3 miles per hour.
Givens
Downstream
d = 4.48 miles
t = 0.32 hours.
c = ??
r_boat = ??
Upstream
d = 4.48 miles
t = 0.56 miles
c = ??
r_boat =??
Equations.
Since the distances are the same, you can equate the distances and come back to them later.
d = r*t
(r - c) * 0.56 = (r + c) * 0.32 This will give you r in terms of c. Notice the minus sign on the left. It's there because the current is going against you, slowing you down.
Remove brackets
0.56r - 0.56c = 0.32r + 0.32c Add 0.56c to both sides.
0.56r = 0.32r + 0.32c + 0.56c
0.56r = 0.32r + 0.88c Subtract 0.32r from both sides.
0.56r - 0.32r = 0.88c
0.24r = 88c Divide by 0.24
r = 0.88/0.24 c
r = 3 2/3 c
Now we have enough information to solve for c
4.48/(r + c) = 0.32
4.48 = 0.32 * (r + c) Substitute r = 3 2/3c into this equation.
4.48 = 0.32 * (3 2/3c + c) Add c and 3 2/3c together.
4.48 = 0.32 * (4 2/3c) Change 4 2/3 to 14/3
4.48 = 0.32 * 14/3 c
4.48 = (4.48 / 3 ) * c
4.48 = 1.493333333 c Divide 4.48 by 1.493333333
c = 4.48 / 1.4933333
c = 3 mph <<<<<<<<<<<<<<Answer
Answer:
y = -2/5x - 3/5
Step-by-step explanation:
2x + 5y = -8
5y = -2x - 8
y = -2/5x - 8/5
y = -2/5x + b
-3 = -2/5(6) + b
-3 = -12/5 + b
-3/5
Answer:
54 teachers
Step-by-step explanation:
Step one:
given data
The ratio of teachers to students on a field trip to New York City is 2 to 9.
That is the ratio is 2:9
We are told that there are 243 students
Required
We want to find the number of teachers
Step two:
Applying the part to part method we have
let the number of teachers be x
2/9= x/243
cross multiply we have
9x= 243*2
9x= 486
divide both sides by 9
x= 54
Hence there are 54 teachers
Change in y over change in x aka y2-y1/x2-x1
Plug in the x and y variables and solve.
Answer:
1 = -40 2= (-3)(40)/(6) 3=
i am not sure about the answer for question one but i am sure about question 2