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rosijanka [135]
2 years ago
8

A rowing team rowed 120 kilometers while going with the current in the same amount of time as it took to row 20 kilometers going

against the current. The rate of the current was 10 kilometers per hour. Find the rate of the rowing team in still water.
Mathematics
2 answers:
IceJOKER [234]2 years ago
8 0

Answer:

100/x+6=20/x-6

100x-600=20x+120

80x=720

x=9 miles an hour as the rowing teams' rate in still water

Sauron [17]2 years ago
5 0
Your answer is=100/x600=20x+120
Hopefully this will help you!
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There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. If driven 48 miles, it costs $64 to ren
Delicious77 [7]
Let x be the daily fee
0.5(48) +x = 64  is the equation, 
Multiply:
24 + x = 64
Subtract:
 x=40
The daily fee is $40
Hope this helps

Credit to Bob3141 (My first answer was wrong)
3 0
3 years ago
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Set up and evaluate the optimization problems. (Enter your answers as comma-separated lists.) Find two positive integers such th
alexira [117]

Answer and Step-by-step explanation:

Let x and y be two positive integers and their sum is 14:

X + y = 14

And the sum of square of this number is:

f = x2 + y2

 = x2+ (14 – x)2

Differentiate with respect to x, we get:

F’(x) = [ x2 + (14 – x)2]’ = 0

        2x + 2(14-x)(-1) = 0

        2x +( 28 – 2x)(-1) = 0

     2x – 28 +2x = 0

        2x + 2x = 28

         4x = 28

       X = 7

Hence, y = 14 – x = 14 -7 = 7

Now taking second derivative test:

F”(x) > 0

For x = y = 7,f reaches its maximum value:

(7)2 + (7)2 = 49 + 49

                   = 98

F at endpoints x Є [ 0, 14]

F(0) = 02 + (14 – 0)2

       =  196

F(14) = (14)2 + (14 – 14)2

  = 196

Hence the sum of squares of these numbers is minimum when x = y = 7

And maximum when numbers are 0 and 14.

6 0
2 years ago
What is the answer of 12x - 6 = 54
Bogdan [553]

Answer:

x = 5

Step-by-step explanation:

12x - 6 + 6 = 54 + 6

12x = 60

12/12 = 60/12

X = 5

7 0
1 year ago
Read 2 more answers
You can walk 3 miles per hour, jog 5 miles per hour, or run 10 miles per hour. You go a full hour before changing pace. At the e
Studentka2010 [4]

Answer:

b. How many ways arc there to go 12 miles?

≡ p(12) = 25

c. How many ways arc there to go 20 miles?

≡ p(20) = 131

d. How many ways arc there to go 22 miles?

≡p(22)  199

Step-by-step explanation:

a) supposed you walked for the first hour. Then you would have travelled 3 miles. if you jogged you would have covered 5miles and if you run you would have covered 10miles. now you have to decide how to run the rest miles from the n miles.

Thus, the number of ways one can cover n miles will be given by the recurrence relation

p(n) = p( n-3) + p( n-5) + p( n - 10)

now to solve the rest of the question, let us make a table which provides the number of ways for n = 1  to 22.

check the attachment for the table

b. How many ways arc there to go 12 miles?

≡ p(12) = 25

c. How many ways arc there to go 20 miles?

≡ p(20) = 131

d. How many ways arc there to go 22 miles?

≡p(22)  199

8 0
3 years ago
Which number is the greatest? 0.35, 0.2, 0.56, 0.8, 0.09
ludmilkaskok [199]
I do believe it is 56
8 0
2 years ago
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