We are given that:
t = time required for Sprinkler System A
t + 4 = time required for Sprinkler System B
Hence the rates are:
1 / t = rate for Sprinkler System A
1 / (t + 4) = rate for Sprinkler System B
The overall equation is:
1 / t + 1 / (t +
4) = 1 / 1.5
Solving for t by multiplying everything by t*(t + 4):
t + 4 + t = (1 / 1.5) (t) (t + 4)
3 t + 6 = t^2 + 4 t
t^2 + t = 6
Completing the square:
t^2 + t + 0.25 = 6 + 0.25
(t + 0.5)^2 = 6.25
t = -0.5 ± 2.5
t = -3, 2
Since time cannot be negative, therefore:
t = 2 hours
t + 4 = 6 hours
Alone, Sprinkler System A takes 2 hours while Sprinkler
System B takes 6 hours.
It depends on what measurements are given. Do you have a photo? Please revise your question
Answer:
x = -3/13
Step-by-step explanation:
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
--> Thus the equation becomes:
3 ⋅ (10x+4) = (2x+3) ⋅ 2
--> Simplify
30x + 12 = 4x + 6
--> Combine Like Terms
26x + 12 = 6
26x = -6
--> Divide each term and simplify
x = -3/13
Hope this helps!
Graph of a negative parabola oriented about the y axis with y intercept at positive 6 : It's a function
graph of an absolute value function oriented about the y axis : it's a function called piecewise
graph of an ellipse with x intercepts negative 8 and positive 8 : it's not a function, since the vertical line intersects the ellipse in 2 different points
graph of a line with a positive slope and y intercept of negative 6: it's a linear function
B is the answer to your question!
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