A fisherman can row upstream at 4mph and downstream at 6mph. He started rowing upstream until he got tired and then started downstream to his start point. How far did the fisherman row if the trip took 3 hours?

Answers

Answer 1
Answer:

Answer:

Fisherman traveled 14.4 miles.

Step-by-step explanation:

A fisherman's downstream speed = 6 mph

and upstream speed = 4 mph

Let the fisherman traveled x miles he travels upstream.

Time spent in travelling x miles = (x)/(4) hours [Since time = \frac{\text{distance}}{\text{speed}}]

Similarly when fisherman covers x miles down stream

Time spent in x miles = (x)/(6) hours

Now total time in going upstream and downstream is 3 hours then

(x)/(4)+(x)/(6)=3

x((3+2)/(12))=3

((5x)/(12))=3

5x = 12×3

5x = 36

x = (36)/(5)=7.2 miles.

Since fisherman has traveled 2x distance so the answer will be 14.4 miles

Therefore, fisherman traveled 14.4 miles.

Answer 2
Answer: total time = upstream time + downstream time
he rowed the same distance both ways.
upstream time = D/4
downstream time = D/6
total time = D/4 + D/6 = 3D/12 + 2D/12 = 5D/12 = 3 hours
D = 3*12/5 = 36/5 or 7.2 miles
where D is the one-way distance. The total distance he rowed is 2*D = 72/5 or 14.4 miles

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What is 155 divided by 5 equals ?

Answers

The result of 155 divided by 5 is 31.

To calculate 155 divided by 5, we can perform long division to find the quotient.

Step 1: Set up the long division:

       31

  ___________

5 | 155

Step 2: Determine how many times 5 can go into the first digit of 155 (which is 1). It goes 0 times, so we write 0 above the division bar.

       31

  ___________

5 | 155

     0

Step 3: Bring down the next digit (5) and place it next to the 0. Now we have 15.

       31

  ___________

5 | 155

     0

    15

Step 4: Determine how many times 5 can go into 15. It goes 3 times (5 x 3 = 15). Write 3 above the division bar.

       31

  ___________

5 | 155

     0

   -15

     15

Step 5: Subtract 15 from 15 to get 0. Bring down the next digit (5).

       31

  ___________

5 | 155

     0

   -15

     15

     -15

Step 6: Determine how many times 5 can go into 0. It goes 0 times, so we write 0 above the division bar.

       31

 __________

5 | 155

     0

   -15

     15

     -15

        0

Step 7: Since there are no more digits to bring down and no remainder left, the division is complete. The quotient is 31.

Therefore, 155 divided by 5 equals 31.

To know more about divided:

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the answer is 31. 5 goes into 15 3 times and 5 goes into 5 1 time so its 31

The price of a dozen eggs was $1.63. The price rose m dollars. Then the price dropped $.12 per dozen. Express the current price of eggs after the two price changes.

Answers

1.63
rose m
1.63+m
dropped 0.12
1.63+m-0.12
1.63-0.12+m
1.51+m
current price=1.51+m

Circle is divided into 20 equal parts. What is the angle measure of three of those parts?

Answers

first, imagine a circle divided into 4 quarters
than you may use the following proportion

angle measure ------- part of circle
90^0 - -----\frac14\n x \ \ ------\frac3{20}\n \n \frac14x=90^0\cdot\frac3{20}\n \frac14x=(270)/(20)\n \frac14x=\frac{27}2\ \ \ \ |\cdot4\n x=\frac{27}2\cdot4\n x=\frac{108}2\n \boxed{x=54\ degrees}

If you save 15 a week for the next two years instead of buying music, how much money would you accumulate ignoring interest ?

Answers

15×52(weeks)= 780780× 2(years) = 1516

Two less than two thirds times a number is ten

Answers

Let the number be x
2/3*x - 2 = 10
or, 2/3 * x =12
or x= 12*3/2
or, x = 18

Please look at picture answer and explain work

Answers

Answer: The answer is D. 240 grams

Step-by-step explanation:

1. Find the volume.

2cm×3cm×5cm=30 cubic centimeters

2.  Find the volume of the other box.

4cm×9cm×5cm=180 cubic centimeters.

3. Divide. 180÷30=6

4.  6 times the amount it can hold, 40=240 grams of clay.

Hope that helped!

Answer:

Step-by-step explanation:

we are told that the box is  2 cm high, 3 cm wide 5 cm long  and holds 40 grams of clay

so 2*3*5 = 30 cm^(3)

so the 30 cubic centimeter volume holds 40 grams  ( it would have been nice if they had let the box hold 30 grams but,  no  :(

40/30 = 1.333333  or 1 and (1)/(3)   of a gram  okay, sooooo now we know each cubic centimeter holds that much clay,  now let's solve for how many cubic centimeters are in the bigger box, you can try to solve it 1st if you'd like to practice,  below I solve it

twice the height  so  2(2)=4 high

3 times the width , so 3(3) = 9 wide

same length,  so  5 long

4*9*5 = 180

180*1.33333333333 = 240 grams of clay in 2nd bigger box  :)

I'm sure there is a funny box joke in there some where :DDDD

do you get the math?  :)