An island is 1 mi due north of its closest point along a straight shoreline. A visitor is staying at a cabin on the shore that is 15 mi west of that point. The visitor is planning to go from the cabin to the island. Suppose the visitor runs at a rate of 6 mph and swims at a rate of 2.5 mph. How far should the visitor run before swimming to minimize the time it takes to reach the island

Answers

Answer 1

The visitor should run approximately 10.588 miles before swimming to minimize the time it takes to reach the island.

Here, we have,

To minimize the time it takes to reach the island, the visitor should run until the point where the time spent running is equal to the time spent swimming.

At this point, the total time taken to reach the island will be minimized.

Let's assume the distance the visitor runs is x miles.

Then the distance the visitor swims is (15 - x) miles.

Time spent running = Distance / Running rate

Time spent swimming = Distance / Swimming rate

Time spent running = x / 6

Time spent swimming = (15 - x) / 2.5

Now, we want to find the value of x that makes the time spent running equal to the time spent swimming:

x / 6 = (15 - x) / 2.5

To solve for x, cross-multiply:

2.5x = 6 * (15 - x)

2.5x = 90 - 6x

Add 6x to both sides:

2.5x + 6x = 90

8.5x = 90

Now, divide by 8.5:

x = 90 / 8.5

x ≈ 10.588

Now, the visitor should run approximately 10.588 miles before swimming to minimize the time it takes to reach the island.

Learn more about the Distance visit:

brainly.com/question/2854969

#SPJ12


Related Questions

sqrtof here is back story
I had it all then you threw me out like garbage. I studied the way of sneaking and rule breaking so now i have returned for my revenge.

Answers

Answer:

ok ?

Step-by-step explanation:

R u gOod

Answer:

If we are robbing a bank count me in

Step-by-step explanation:

x) = 3 x+2 and g( x) = 2 x+5. Find fo g(5).

Answers

Answer:

Put it in math-way and please write the expression so I can solve it

Step-by-step explanation:

What is the value of X in the given figure

Answers

Answer:

50

Step-by-step explanation:

Angle PQS is found by 180-80=100

180- 100-30=50

Answer:

50 degrees

Step-by-step explanation:

<PQS +<RQS = 180°(sum of angles in a straight line)

#+80=180

#=180-80

#=100°

30° + x + # = 180°(sum of angles in a Δ)

30+x+100=180

x+130=180

x=180-130

x=50°

I have one question, i'll give ya'll 50 points!

Answers

Answer:

it's A you're right

tell me w what is the book and notebook​

Answers

Answer:

a book is something you read a notebook is something you write in.

Step-by-step explanation:

A book is what you read out of and a notebook is what you write in

what is the percentage of 27​

Answers

0.23j47474747484484433

Answer:

27%

Step-by-step explanation:

CORRECT ANSWER GETS BRAINLIEST AND 5 STARS!

Answers

Answer:

Answer is B

Step-by-step explanation:

This is because there were 14 chocolate cupcakes to 21 vanilla cupcakes which in ratio form is 14 to 21 and simplified is 2 to 3

please help ASAP, i need this and ive asked this 3 times.

Answers

The answer is B :) Have a good day

can someone help i really need help

Answers

9514 1404 393

Answer:

  1. no problem is stated

  2. cube: V = s³; A = 6s². prism: V = lwh; A = 2(lw +h(l+w))

  3. 400 cm²

Step-by-step explanation:

1, 2. Answers shown above. The formulas are from your list of formulas.

__

3. Cube surface area is ...

  A = 6(20 cm)² = 2400 cm²

Prism surface area is ...

  A = 2((40 cm)(20 cm) +(10 cm)(40 cm +20 cm))

  A = 2(800 cm² +10(60) cm²) = 2(1400 cm²) = 2800 cm²

The difference in areas is ...

  2800 cm² -2400 cm² = 400 cm² . . . . difference in surface area

Please help I’ll give Brainliest

Answers

Answer:

b- g(x)=7x+9

Step-by-step explanation:

the vertical compress is the slope so m

and the shifts up 9 is the y-intercept

hope this helps :)

Can anyone help me ? It’s due in 20 minutes

Answers

Answer:

area of square = 100

area of circle = 15.7

the area of the shaded = im not really sure but im thinking its 50

Step-by-step explanation:

so u see the line in the middle it say 10 cm and the square is equal on all sides so it would be 10cm for the lenth and with so it would be 10 times 10 witch is 100 and u would use the 10 for the circle aswell witch u would use 3.14 times 10 divided by 2 to get the area of the circle

Answer:

The Area of the square is 100cm^2

The Area of the Circle is 78.54cm^2

The Area of the Yellow is 21.46cm^2

Step-by-step explanation:

What is the Surface Area of this figure?

Answers

Answer:

[tex]174 cm^{2}[/tex]

Step-by-step explanation:

There are two triangles and two rectangles in the figure.

To find the area of the triangles:

6 x 9 = [tex]54cm^{2}[/tex]

To find the area of the rectangles:

9 x 8 = [tex]72cm^{2}[/tex]

6 x 8 = [tex]48cm^{2}[/tex]

Add all of this together for your answer:

54 + 72 + 48 = [tex]174cm^{2}[/tex]

If 5a + 3b = 19 and 4c + 2d = 14 where a, b, c, and d are whole numbers greater than zero, and where a

Answers

Answer:

a=2

b=3

c=3

d=1

I hope it helped u

There was a population of 80 fish in a National Park. After a year, the population increased by 5%. How many fish are there in the park now?

Answers

Answer Its 84

Step-by-step explanation:

80 plus 5% equals 84%  

Pls ad my in Brainliest! :)

The transformation is a rotation about point J.

- true
- false

Answers

i believe it is true
I think it would be True

The Value of x is . And the value of y is .

Answers

70+50+x=180
120+x=180
180-120=60
X=60
Y=50 I’m not sure about y

pls the timer is almost finish-

Answers

it’s c because if u simpilify it it’s 10 1/5

Find the surface area of the prism.

Answers

Answer: [tex]136[/tex]

Step-by-step explanation: [tex]5x7=35[/tex] [tex]5x7=35[/tex] [tex]6x4/2=12[/tex] [tex]6x4/2=12[/tex] [tex]7x6=42[/tex] [tex]35+35+12+12+42=136[/tex]

The surface area is 136 m

2) Dave borrowed $475 from his credit union at a rate of 5.5% for 2 years. How much will he have to pay them back? *

Answers

Answer

$55

Step-by-step explanation:

Finance charge = Interest + Other costs

= $50 + 5

= $55

Irma and Kate have summer jobs selling newspaper subscriptions door-to-door, but their
compensation plans are different. Irma earns a base wage of $15 per hour, as well as $1 for
every subscription that she sells. Kate gets $2 per subscription sold, in addition to a base
wage of $6 per hour. If they each sell a certain number of subscriptions in an hour, they will
end up earning the same amount. How many subscriptions would that be? How much would
each one earn?
If Irma and Kate sell
subscriptions in an hour, they will each earn $

Answers

Check o go gg LE 2345

Select all expressions equivalent to 6x- - 24.

Answers

Answer:

the answer should/could be 6(x-4) & 3(2x-8)

Answer:

6(x - 4) & 3(2x - 8) is the answer

Step-by-step explanation:

6(x - 4) = 6x - 24

2(3x - 24) = 6x - 48

3(2x - 8) = 6x - 24

3(3x - 21) = 9x - 63

Please help if possible :)

Answers

Answer:

x = 8

Step-by-step explanation:

Though observing the number :

12×3=36

9×3=27

so,that we also multiply 3 with 8 =24

In the figure below, $AB=75,$ $AC=70,$ and $BY=60$. Compute $CX$.

Answers

Compute the area A of ∆ABC.

• Take AB to be the base and CX (which is an altitude of ∆ABC) to be the height. Then the area is

A = 1/2 • AB • CX = 1/2 • 75 • CX

• Now take AC to be the base and BY (also an altitude) to be the height. Then

A = 1/2 • AC • BY = 1/2 • 70 • 60 = 2100

The areas must be equal, so we have

2100 = 1/2 • 75 • CX   →   CX = 4200/75 = 56

helpp only for angle A and B thx !

Answers

a= 59 and b= 48
hope this helps!!

A point is reflected over the y-axis, but the x-coordinate does not change. What is the location of the point ?​

Answers

Answer:

(0, 3)

Step-by-step explanation:

Any point on the y-axis doesn't move when reflected across the y-axis. The x-coordinate must be zero. The only choice with that x-coordinate is (0, 3).


Determine the slope (8 grade)

Answers

What’s the question?

What’s in between 10.3 and 12.1

Answers

Answer:

11.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

10.4

What is the slope of the line passing through points (1, 7) and (9, 3)

Answers

Step-by-step explanation:

slope y2-y1/x2_x1

3-7/9-1

-4/8

-1/2 answer

I think -1/2is the answer

(X+4y) ^2 ; x=3, y=2

Answers

Step-by-step explanation:

=[(3)+4(2)]^2

=(3+8)^2

=(3+8)(3+8)

=121

slope intercept form for (-7,-7) (-6,-8)

Answers

Answer:

y = -x - 14

Step-by-step explanation:

Slope intercept form y=-x-14
Other Questions
Which of the following is NOT evidence for evolution? A. the fossil recordB. homologous and vestigial structures C. animals competing with each other D. animals moving from sea to land please with 5 or 6 i don't get this at all I dont know what to do calculate the surface area for the figure baker is to cakes as carpenter is to HELP DUE AT MIDNIGHT TN please helppppExplain the difference between mass and weight and how they are measured. _Al(NO3)3 +_(NH4)3 P04_AlPO4+_ NH, NO3balancing equations 8734 MarkslcoolThe nth term of a sequence is 25 3na) Work out the first three terms of the sequence.b) Work out the value of the first negative term of the sequence. What is the molar mass of KAISiO4 (with work) Answer the question below Good Afternoon Everyone!Question of the Day: Have you watched Wandavision yet? If you have whats your favorite episode? My favorite episode is 5, and 6! Philosophy, arts, and religion.Is wiccan considered to be Polytheist, pantheist, monotheist, Agnostic, Deist, or Atheist? What evidence does banded iron in rocks provide?a. origin of lifeb. presence of oxygen in the atmospherec. emergence of photosynthesisd. volcanic activity What are the sociocultural factors that affect language learning? .A full glass of water can hold of a bottle.How many glasses of water can be filled with 3 bottles of water? a D.J. at a school dance plans to play dance music for 2 hours. she has 20 requests for songs. Each song plays for 3 1/2 minutes. if she plays all of the requests. How much time will she have to play other songs? how does Antonio react to Shylocks expression on his resentment PLS HELP ME AGAINMMMMNN Plot 36 and 36 on the number line.++0+1+7+823456910 Help please im stuck on an escape room worksheet