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Ipatiy [6.2K]
2 years ago
7

A fish swins 12 miles upstream in 4 hours. The return trip only takes 3 hours. Find the rate of the current

Mathematics
1 answer:
Gre4nikov [31]2 years ago
6 0

Answer:

1/2 mph

Step-by-step explanation:

Given :

Distance traveled, D = 12 miles

Upstream Swim time = 4 hours

Return swim time = 3 hours

Upstream rate = 12/4 = 3 mph

Return rate = 12/3 = 4 mph

Let

swim rate = s

Current rate = c

s - c = upstream rate

s + c = return rate

s - c = 3 - - - (1)

s + c = 4 - - -(2)

From (1)

s = 3 + c

Put into (2)

3 + c + c = 4

3 + 2c = 4

2c = 4 - 3

2c = 1

c = 1/2 mph

Hence, rate of current = 0.5mph

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Ill give you Brainlyest! I need help ASAP work shown, please!!<br> problems 8-15
8_murik_8 [283]

Using the segment addition theorem, the solutions are:

5. x = 17

6. x = 7

7. x = 14

BC = 27

CD = 61

BD = 88

8. AB = 26

9. LJ = 46

10. x = 3

11. FG = 15

12. QS = 34

13. BC = 26

14. EG = 19

15. QS = 68

<h3>How to Apply the Segment Addition Theorem?</h3>

The segment addition theorem would be used to solve the problems as shown below:

5. UW = UV + VW [segment addition theorem]

Substitute

6x - 35 = 19 + 4x - 20

6x - 4x = 35 + 19 - 20

2x = 34

x = 17

6. HJ = HI + IJ [segment addition theorem]

Substitute

7x - 27 = 3x - 5 + x - 1

7x - 3x - x = 27 - 5 - 1

3x = 21

x = 7

7. BD = BC + CD [segment addition theorem]

Substitute

7x - 10 = 4x - 29 + 5x - 9

7x - 4x - 5x = 10 - 29 - 9

-2x = -28

x = 14

BC = 4x - 29 = 4(14) - 29 = 27

CD = 5x - 9 = 5(14) - 9 = 61

BD = 7x - 10 = 7(14) - 10 = 88

8. BC = BD

Substitute

2x + 1 = 5x - 26

2x - 5x = -1 - 26

-3x = -27

x = 9

AB = 43 - BC

AB = 43 - 2x + 1 = 43 - 2(9) + 1 = 26

9. 7x - 10 = 9x - 11 - (x + 3)

7x - 10 = 9x - 11 - x - 3

7x - 9x + x = 10 - 11 - 3

-x = -4

x = 4

LJ = 28 + 7x - 10 = 28 + 7(4) - 10

LJ = 46

10. 8x + 11 = 12x - 1

8x - 12x = -11 - 1

-4x = -12

x = 3

11. 11x - 7 = 3x + 9

11x - 3x = 7 + 9

8x = 16

x = 2

FG = 11x - 7 = 11(2) - 7

FG = 15

12. 5x - 3 = 21 - x

5x + x = 21 + 3

6x = 24

x = 4

QS = 2(5x - 3) = 10x - 6 = 10(4) - 6

QS = 34

13. 8x - 20 = 2(3x - 1)

8x - 20 = 6x - 2

8x - 6x = 20 - 2

2x = 18

x = 9

BC = AB = 3x - 1 = 3(9) - 1

BC = 26

14. 5x - 1 = 7x - 13

5x - 7x = 1 - 13

-2x = -12

x = 6

EG = 6x - 4 - 13 = 6(6) - 4 - 13

EG = 19

15. RT - ST = RS

Substitute

8x - 43 - (4x - 1) = 2x - 4

8x - 43 - 4x + 1 = 2x - 4

4x - 42 = 2x - 4

4x - 2x = 42 - 4

2x = 38

x = 19

QS = 2(RS)

QS = 2(2x - 4) = 4x - 8 = 4(19) - 8

QS = 68

Learn more about the segment addition theorem on:

brainly.com/question/28263183

#SPJ1

8 0
2 years ago
A cylindrical oil drum has a diameter of 2 feet and a height of 3 feet what is the volume of the oil drum?
NikAS [45]
We know, Volume of a Cylinder = πr²h

Here, r = 2/2 = 1 ft
h = 3 ft

Substitute their values, 
v = 3.14 * (1)² * 3
v = 9.42 ft³

In short, Your Answer would be: 9.42 Ft³

Hope this helps!
4 0
3 years ago
A rectangular prism has a length of 7 inches and a width of 5 inches. The lateral area is 192 square inches. What is the height
Dennis_Churaev [7]

Answer:

I think it would be 5.49 as the height of the prism.

Step-by-step explanation:

I just did 7 × 5 which is 35, and then I did 192 ÷ 35 and got 5.49. I'm not completely sure but that's my best answer I hope it helps!

6 0
3 years ago
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Serjik [45]

Answer:

i think the anwser is the third one c

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3 years ago
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Lisa [10]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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