Answer:
v= 1/6
Step-by-step explanation:
1. Simiplify 10/3v = 10/3v -5/9= -10v/3
2. Multiply both sides by 3
3. Use this rule : a/b × c = ac/b
4. 5× 3= 15 -15/9= -10v
5. Simiplify 15/9 = 5/3 -5/3 = -10v
6. Divide both side by -10 -5/3/-10=v
7. Two negative make a postive 5/3/10 = v
8. Simplify 5/3/10= 5/3×10
9. Simplify 3×10=30 5/30=v
10. Simplify 5/30 = 1/6v
11. Swith sides v= 1/6
Multiply both sides by 10.
3y + 12 = 4x
subtract 12 and 4x from both sides.
-4x + 3y = -12
Answer:
506
Step-by-step explanation:
Answer:
x + 600 ≥ 2400
Step-by-step explanation:
Given:
Amount needed = $2,400
Amount they had = $600
Find:
Amount they need
Computation:
Assume;
Amount they need = x
x + 600 ≥ 2400
S = d/t
st = d
t = d/s
The time going is t1.
The time returning is t2.
The total time is 4 hours, so we have t1 + t2 = 4
The speed of the current is c.
The speed going is 9 + c.
The speed returning is 9 - c.
t1 = 16/(9 + c)
t2 = 16/(9 - c)
t1 + t2 = 16/(9 + c) + 16/(9 - c)
4 = 16/(9 - c) + 16/(9 + c)
1 = 4/(9 - c) + 4/(9 + c)
(9 + c)(9 - c) = 4(9 - c) + 4(9 + c)
81 - c^2 = 36 - 4c + 36 + 4c
81 - c^2 = 72
c^2 = 9
c^2 - 9 = 0
(c + 3)(c - 3) = 0
c + 3 = 0 or c - 3 = 0
c = -3 or c = 3
We discard the negative answer, and we get c = 3.
The speed of the current is 3 mph.
