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Algebra/Algebra - 35 yrs old

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Question
﹞   6.6 Solve each equation.
# 64)    4w 每 1   -   w 每 1   =   w 每 1
  3w + 6           3       w + 2


p.s. In fraction form



﹞   6.7 Solve each proportion.

# 40)    c + 3   =  c + 2
  c 每 1      c 每 3


p.s. Also in fraction form.  I don't know why the lines didn't appear.

﹞   6.8  # 52  Big plane. A six-passenger lane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of times as it flies 5 miles against the wind, then what is the wind speed?






﹞   9.1 Simplify each radical. All variables represent positive real numbers.

# 80)   ﹟    9
      144




﹞   9.2 Simplify each expression. Write your answers with positive exponent.
Assume that all variables represent positive and real numbers.

#106)   (- 27 x9)^1/3
  = (27)^1/3 (x7)^1/3
  = -3x^3




﹞   9.3 Simplify each expression.

# 84)    ﹟2t5 . ﹟10t4


Answer
6.6 and 6.7 Try writing them like 4w/(3w+6) so I can understand them
6.8 let w = wind speed
time = distance/speed so t=7/(180+w)=5/(180-w) and w= 30mph
9.1  Is that a square root sign?  You can indicate it by
(9/144)^1/2 = 3/12 = 1/4
9.2 (-27x^9)^1/3 = -3x^3
(2t^5)^1/2 = t^2(2t)^1/2
(10t^4)^1/2 = t^2(10^1/2)

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