Solve the problem.Two pumps can fill a water tank in 45 minutes when working together. Alone, the second pump takes 3 times longer than the first to fill the tank. How long does it take the first pump alone to fill the tank?
A. 33.75 min
B. 60 min
C. 80 min
D. 67.5 min
Answer: B
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Solve.20x(x - 5) + 40 = -55(2x - 1) + 15
A. -5,
B. -6, 1
C. - 1,
D. - , 1
Solve the problem.Marianne is planning a shopping trip to buy birthday gifts for her son. She estimates that the total price of the items she plans to purchase will be between $350 and $400 inclusive. If sales are taxed at a rate of 8.375% in her area, what is the range of the amount of sales tax she should expect to pay on her purchases? If Marianne's budget for the shopping trip is $425, will she necessarily be able to buy all the gifts that she has planned?
What will be an ideal response?
Write as the sum and/or difference of logarithms. Express powers as factors.ln , x > 8
A. ln 7 + ln x + ln (1 + 2x) - 5ln (x - 8)
B. ln 7 + ln x - 7ln (1 + 2x) - 5ln (x - 8)
C. 7ln x + ln (1 + 2x) - 5ln (x - 8)
D. ln 7 + ln x + ln (1 + 2x) - ln 5 - ln (x - 8)
Graph the function.f(x) = (x - 5)(x - 2)(x - 1)2
A.
B.
C.
D.