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DochEvi [55]
3 years ago
7

A construction company charges $18 per hour for debris removal, plus a one time fee for the use of the trash dumpster. the total

fee for eight hours of service was $219, right and solve a linear equation to find a one time fee for the trash dumpster.
Mathematics
1 answer:
Wewaii [24]3 years ago
5 0

One time fee for the trash dumpster is $75.

Step-by-step explanation:

Cost of debris removal = $18 per hour

Total number of hours = 8

Let,

Total number of hours = x

One time fee of trash dumpster = y

According to given statement;

18x+y=219

As we know the number of hours, therefore,

18(8)+y=219\\144+y=219\\Subtracting\ 144\ from\ both\ sides\\144-144+y=219-144\\y=75

One time fee for the trash dumpster is $75.

Keywords: linear equations, Subtraction

Learn more about linear equations at:

  • brainly.com/question/4390083
  • brainly.com/question/4401748

#LearnwithBrainly

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Paha777 [63]

<u>Answer:</u>

Speed of the boat in still water = 6.125 miles/hour

<u>Step-by-step explanation:</u>

We are given that a boat travels 33 miles downstream in 4 hours and the return trip takes the boat 7 hours.

We are to find the speed of the boat in the still water.

Assuming S_b to be the speed of the boat in still water and S_w to be the speed of the water.

The speeds of the boat add up when the boat and water travel in the same direction.

Speed = \frac{distance}{time}

S_b+S_w=\frac{d}{t_1}=\frac{33 miles}{4 hours}

And the speed of the water is subtracted from the speed of the boat when the boat is moving upstream.

S_b-S_w=\frac{d}{t_2}=\frac{33 miles}{7 hours}

Adding the two equations to get:

   S_b+S_w=\frac{d}{t_1}

+  S_b-S_w=\frac{d}{t_2}

___________________________

2S_b=\frac{d}{t_1} +\frac{d}{t_2}

Solving this equation for S_b and substituting the given values for d,t_1, t_2:

S_b=\frac{(t_1+t_2)d}{2t_1t_2}

S_b=\frac{(4 hour + 7hour)33 mi}{2(4hour)(7hour)}

S_b=\frac{(11 hour)(33mi)}{56hour^2}

S_b=6.125 mi/hr

Therefore, the speed of the boat in still water is 6.125 miles/hour.

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Answer:

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