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zmey [24]
3 years ago
13

A motorboat traveling with the current went 80 miles in 4 hours. Against the current, it took 5 hours to travel the same distanc

e. Find the rate of the motorboat in calm water.
Mathematics
1 answer:
AysviL [449]3 years ago
3 0

Let x be the speed of the motorboat and y be the speed of the current.

Then, for downstream, the speed is x + y.

Now, speed = distance/time.

Distance = 80 miles.

Time for downstream = 4 hours.

So, x + y = 80/4 = 20     (1)

Against the current, that is for upstream, the speed is x - y.

Time for upstream = 5 hours.

x - y = 80/5 = 16     (2)

Adding (1) and (2), we get,

2x = 36

x = 18

Hence, rate of the motorboat in calm water = 18 miles/hour.

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Answer:

B. 5 |q−10| =35

Step-by-step explanation:

Solution:

let's try to understand the problem clearly.

In this question, we asked to calculate the number units which that company produces so that it's profit is decreased from the maximum profit.

We know that, for 10000 units = company will get maximum profit.

Any value less than or greater than 10000 units will decrease the profit.

and we also know that,

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So if maximum profit is at 10000 units,

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if q = 11000 then profit = Maximum - 5000

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profit will be decreased by 5(7000) = 35000

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B. is the only equation which satisfies this condition.

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Hence, for 17000 units, company's profit will decrease $35000 from the maximum profit.

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Ms. Figgs asked 25 students in her 7th grade homeroom to select their favorite cookie. The results are recorded in the table bel
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Find the value of x. <br><br> A. 60<br><br> B. 50 <br><br> C. 40 <br><br> D. 30
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We can see that two sides of that triangle area equal

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