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I am Lyosha [343]
3 years ago
6

A motorboat, that has speed of 10 km hour in still water, left a pier traveling against the current of the river. Forty-five min

utes after the boat left the pier, the motor of the boat broke, and the boat began drifting with the current. After three hours of drifting with the current, the boat was back at the pier where it had started. What is the speed of the current of the river?
Mathematics
1 answer:
Leokris [45]3 years ago
4 0

9514 1404 393

Answer:

  2 km/h

Step-by-step explanation:

  distance = speed × time

The boat's progress upriver can be modeled by ...

  (10 -c)(3/4) +(0 -c)(3) = 0

  7.5 -3.75c = 0 . . . . simplify

  2 -c = 0 . . . . . . . . . divide by 3.75

  c = 2 . . . . . . add c

The speed of the current is 2 km per hour.

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Mr. Malone is contemplating which chauffeured car service to take to the airport. The first costs $28 upfront and $2 per mile. T
Ksju [112]

Answer:

The distance is 8 miles.

Step-by-step explanation:

First, we need to write an equation for each of chauffeured car services.

The first one = 28 + 2x = ?

The second one = 13 + 5x = ?

Next, we need to figure out what x is. Usually I just plug in random numbers, but I'm sure there's a better way to do it.

I first plugged in 2 as x.

28 + 4 = 32

13 + 10 = 23

That didn't work, so I then plugged in 5.

28 + 10 = 38

13 + 25 = 38

So 5 would be the correct answer for what is the distance.

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3 years ago
A prediction from a line graph is
timurjin [86]
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Some1 help me this due tomorrow and in stressing out
Olenka [21]

Answer:

Step-by-step explanation:

So, as shown in the picture below, you first have to find the line y = -1. Then that’s what your going to reflect. Imagine that your making a print of it, that’s how you will reflect it. Imagine taking a piece of paper with that triangle on it and folding it along that line I drew in my picture (at y=-1). Hope that helped!

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Answer: T= 1 and I’m not sure if 6t = 6

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I don’t understand need help
RideAnS [48]

Answer: Choice D

(a-e)/f

=======================================

Explanation:

Points D and B are at locations (e,f) and (a,0) respectively.

Find the slope of line DB to get

m = (y2-y1)/(x2-x1)

m = (0-f)/(a-e)

m = -f/(a-e)

This is the slope of line DB. We want the perpendicular slope to this line. So we'll flip the fraction to get -(a-e)/f and then flip the sign from negative to positive. That leads to the final answer (a-e)/f.

Another example would be an original slope of -2/5 has a perpendicular slope of 5/2. Notice how the two slopes -2/5 and 5/2 multiply to -1. This is true of any pair of perpendicular lines where neither line is vertical.

8 0
3 years ago
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