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VladimirAG [237]
3 years ago
13

Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return tr

ip, it takes 5 hours.
What is the rate of the boat in still water?
Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0

Answer:

  22 miles per hour

Step-by-step explanation:

Against the current, the boat's rate of travel is ...

  (120 mi)/(6 h) = 20 mi/h

With the current, the boat's rate of travel is ...

  (120 mi)/(5 h) = 24 mi/h

___

The sum of boat speed (b) and current speed (c) is 24 mph. The difference is 20 mph. This lets us write the equations ...

  b + c = 24

  b - c = 20

Adding these two equations together, we get ...

  2b + 0c = 44

  b = 22 . . . . . . . . divide by 2

The rate of the boat in still water is 22 miles per hour.

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tino4ka555 [31]

Answer:

He solved 75% of the puzzles!

Step-by-step explanation:

Okay, let's look at our fraction 18 out of 24. We can see that they are both even numbers, so at worst, we can divide the entire fraction by two. However, they have a GCF of six, so we will use that.

18                               3

----  divided by 6  =  ----

24                              4

Now that we have the fraction 3/4, we can turn that into a percentage!

3/4 is 0.75. To get the percentage, we multiply that by 100--now we have 75%.

5 0
3 years ago
Multiply 5x^3(2x^4-x^3+3)
julia-pushkina [17]

Answer:

10x^7-5x^6+15x^3

Step-by-step explanation:

Distribute the 5x^3 to all the terms

8 0
3 years ago
Marco wants to buy a new smartphone that costs $495, with some additional accessories. He has already saved $75. Write and solve
antoniya [11.8K]

Marco needs to save a minimum of $420 more to buy a smartphone.

<u>Explanation:</u>

Cost of a smartphone = $495

Savings = $75

Least amount of money, m that needs to be saved = ?

Additional savings, m = Total - initial savings

                              m = $495 - $75

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The inequality equation would be 75 + m ≥ 495

Therefore, Marco needs to save a minimum of $420 more to buy a smartphone.

4 0
3 years ago
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mariarad [96]

Answer:

x/4 (-3) = 5

Step-by-step explanation:

Simply translate into numbers. :D

5 0
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Do you mean 6 to the 5th power. or is there another 6, if so then it would be 6 to the 6th power.
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3 years ago
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