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Marysya12 [62]
4 years ago
8

The play director spent 190190190190 hours preparing for a play. That time included attending 35353535 rehearsals that took vary

ing amounts of time and spending 933493 \dfrac{3}{4}9343​93, start fraction, 3, divided by, 4, end fraction hours on other responsibilities related to the play. What question does the equation 35x+9334=19035x+93\dfrac{3}{4}=19035x+9343​=19035, x, plus, 93, start fraction, 3, divided by, 4, end fraction, equals, 190 help answer?
Mathematics
1 answer:
Genrish500 [490]4 years ago
7 0

Answer:

The equation above represents the total time the play director spent preparing for a play.

Step-by-step explanation:

The time spent by the play director for preparing for a play is, 190 hours.

Of these 190 hours, the director spent varying amounts of time attending 35 rehearsals for the play.

Let the varying amounts of time be denoted by, <em>x</em>.

The director also spent 3/4th of an hour, i.e. 45 minutes, on other responsibilities related to the play.

The equation provided is:

35x+\frac{3}{4}=190

The equation above represents the total time the play director spent preparing for a play.

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The path should be 6.38 feet wide

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So, the dimensions are 15 + x by 10 + x respectively.

So, the area of the rectangular plot plus uniform path is A

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So, (15 + x)(10 + x) = 350

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x = \frac{-25 +/-\sqrt{25^{2} - 4X1 X (-200)} }{2 X1 } \\x = \frac{-25 +/-\sqrt{625 + 800)} }{2}\\x = \frac{-25 +/-\sqrt{1425} }{2}\\x = \frac{-25 +/-37.75 }{2}\\x = \frac{-25 + 37.75 }{2} or x = \frac{-25 - 37.75 }{2}\\x = \frac{12.75 }{2} or x = \frac{-62.75 }{2}\\x = 6.375 or x = -31.375

Since x cannot be negative, we choose the positive answer.

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So, the path should be 6.38 feet wide

Learn more about width of a path here:

brainly.com/question/15382035

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