64............................
Answer:
4:3
Step-by-step explanation:
Let's say that the number we multiply to get to 1200 from 900 is x.
900x=1200
Now, we divide both sides by 900:
x=1200/900
x=4/3
The number is 4/3. In ratio form, this is 4:3
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
You have two choices: the easiest is to turn every fraction to its numerical equivalent:
Now, remember that negative numbers are ordered in the opposite way with respect to positive numbers (for example, 4 is larger than 2, but -4 is smaller than -2). So, the order is
Alternatively, you can convert all the fractions so that they have the same denominator. In this case, you will need the least common multiple of 10, 7, 4, 5 and 3, which is 420. Once you do so, you can easily order the fractions using numerators only.
Answer:
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