A group of campers walked at a speed of 4. 5 mph from their campsite to a rest area. Their return trip to the campsite took 15 minutes longer because their speed was only 4 mph. What is the distance between the campsite and the rest area?.

Answers

Answer 1

The distance between the campsite and the rest area is 9 miles.

The given parameters:

Initial speed of the campers, u = 4.5 mphFinal speed of the campers, v = 4 mph

Let the time of motion from the campsite to rest area = t (hours)

Time for return trip = t hours +  15 mins

                               = (t + 0.25) hours

Let the distance between the campsite and rest area = d

d = 4.5t

d = 4(t + 0.25)

4.5t = 4(t + 0.25)

4.5t = 4t + 1

4.5t - 4t = 1

0.5t = 1

t = 2 hours

The distance between the campsite and the rest area is calculated as follows;

d = 4.5t

d = 4.5 x 2

d = 9 miles

Thus, the distance between the campsite and the rest area is 9 miles.

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Related Questions

A force of 30 n stretches a very light ideal spring 0. 73 m from equilibrium. What is the force constant (spring constant) of the spring?.

Answers

According to Hooke's law, a 30-N force stretches a spring by 0.73 m if the spring constant k is such that

30 N = k (0.73 m)

k = (30 N) / (0.73 m)

k ≈ 4.1 N/m

Chocolate candy in your hand will eventually melt.

Answers

yes it would by the heat

Explanation:

heat makes stuff really hot

What is the value of a? 5 units units units 7 units.

Answers

what? what is the question

how much does the triple treat box cost please help

Answers

Answer:

lm.ao i.dk i think like $23

Explanation:

It looks so good, you should get it.

Answer:

$22.99

Explanation:

Right now, it costs $22.99

A scale factor of one-third is used to make a reduction of the original triangle. Original triangle reduced triangle height 12 base 24 what is the base of the reduced triangle? 4 8 9 21.

Answers

Answer:

B - 8

Explanation:

The linear scale factor is used to reduce or enhance the size of the original measures. The base of the reduced triangle is 8. Thus, option b is correct.

What is a linear scale factor?

The linear scale factor is the reduction or the enlargement of the size like the width, height, base, length, etc. of the geometrical shape.

Given,

The height of the original triangle = 12

The base of the original triangle = 24

The linear scale factor reduces the original size by 1/3 factor.

The 1/3 factor of the base will be = 24 ÷ 3 = 8

Therefore, option b. 8 is the base of the reduced triangle.

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What would happen if our bodies could not metabolize glucose?.

Answers

Answer: When insulin is not working as it should, blood sugar can build up, eventually spilling over into your urine. This can lead to diabetes symptoms such as increased urination and unexplained weight loss, since your body isn't able to use the energy from the foods you eat.

Picture:

How should you protect a printed classified document.

Answers

Answer:

There are many ways you could answer this question.

Explanation:

If it is a physicl copy, you should store it with your other important doncuments of course, or have protective sheets on or around it for safety. If you are talking legally, a notarized document is always going to be more official that a non notarized document, so if you get it notarized, then you can protect yourself and the importance of the document legally.

Which of the following describes the process of creolization?.

Answers

Answer:

The term creolization describes the process of acculturation in which Amerindian, European, and African traditions and customs have blended with each other over a prolonged period to create new cultures in the New World. ... Since the colonial period, the term has been applied to many aspects of culture.

The process of acculturation known as “Creolization” refers to how Amerindian, European, and African customs and practices have come together over time to form new cultures in the New World. The phrase has been used to refer to a variety of cultural elements since the colonial era.

What best define about process of Creolization?

According to sociologist Robin Cohen, Creolization happens when people choose certain components from an arriving or inherited culture.

Give these new meanings that are distinct from the ones they had in their original civilizations, and then imaginatively combine these to produce new types that replace the earlier forms.

Therefore, Haiti Creole, which was developed by enslaved Africans utilizing vocabulary and syntax from French and African languages, is an illustration of Creolization.

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Day and night kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Bark time hotel charges $30 per day plus a one-time food fee of $5. Which system represents this real-world situation? mc004-1. Jpg mc004-2. Jpg mc004-3. Jpg mc004-4. Jpg.

Answers

The system of equation that represents this situation is y = 20x + 15 for day and night kernel and y = 30x + 5 for bark time hotel.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the total charges for for boarding a pet in x days.

Day and night kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Hence:

y = 20x + 15

Bark time hotel charges $30 per day plus a one-time food fee of $5. Hence:

y = 30x + 5

The system of equation that represents this situation is y = 20x + 15 for day and night kernel and y = 30x + 5 for bark time hotel.

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A 5 kg object near earth's surface is released from rest such that it falls a distance of 10 m. After the object falls 10 m, it has a speed of 12 m/s. Which of the following correctly identifies whether the object-earth system is open or closed and describes the net external force?.

Answers

Answer:

Explanation:

D)The system is open, and the net external force is nonzero.

Masalimuot kahulugan.

Answers

what was the question?

Answer:

Masalimuot in English means Complicated

Explanation:

composed of elaborately interconnected parts; complex:

difficult to analyze, understand, explain, etc.:

Sun estimated the quotient of –23. 514 and –3. 98 by rounding each to the nearest integer. Which equation shows the correct estimation? negative 23. 514 divided by negative 3. 98 negative 24 divided by negative 4 = 6 negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8.

Answers

Answer:Sun estimated the quotient of –23. 514 and –3. 98 by rounding each to the nearest integer. Which equation shows the correct estimation? negative 23. 514 divided by negative 3. 98 negative 24 divided by negative 4 = 6 negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8.

Explanation: 64

Which two characteristics are shared by all thunderstorms, tornados, and hurricanes? clouds and wind eyes and clouds warm, dry air and wind large waves and warm, dry air.

Answers

Answer:

Clouds and wind

Explanation:

A on EDGENUNITY

Clouds and wind eyes are characteristics are shared by all thunderstorms.

What is Thunderstorms?

A thunderstorm is a downpour of rain accompanied by thunder. Since lightning produces thunder, all thunderstorms contain lightning.

The afternoon and evening hours in the spring and summer are when thunderstorms are most likely to occur, however they can happen at any time of day.

The majority of thunderstorms happen in the afternoon in the Gulf Coast and throughout the southeastern and western regions. In the Plains states, thunderstorms usually develop in the late afternoon and at night.

Therefore, Clouds and wind eyes are characteristics are shared by all thunderstorms.

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English nobles resisted peasant demands such as those described in the passage because agricultural labor in many parts of fourteenth-century afro-eurasia had become scarce as a result of which of the following developments?.

Answers

Answer: Significant increase in mortality due to the spread of epidemic diseases.

Explanation:

During the 14th century, many parts of Europe and Asia were completely ravaged by an epidemic plague called The Black Death. It was a form of bubonic plague caused by rats infected by bacteria.

More than half of the population of Europe was killed due to his plague, which immediately creates a shortage of labor. Shortage of labor, including agricultural ones, immediately meant that the living ones would receive a higher wage, to the consternation of the landowners who pushes for legislation that would return the status quo to how it was prior to the Black Death. This enrages the peasants who worked for them; manifesting in several revolts from May to November 1380.

When grading compositions, which measure has the strongest correlation with the overall quality of the writing?.

Answers

Based on writing standards, when grading compositions, the measure that has the strongest correlation with the overall quality of the writing is "length."

Elements of quality writing

Generally, the elements of quality writing include the following:

FocusDevelopmentUnityCoherenceCorrectness.

However, based on research studies, the strongest correlate of quality writing is Length, with a correlation of 0.557.

Hence, in this case, it is concluded that the correct answer is "Length."

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What impact does the word "nomad," as used in the following sentence, have on the overall meaning of the text? "i knew i would never again fully be a part of my reservation. I knew i was going to be a nomad. ".

Answers

Answer:the answer is "it demonstrates that the narrator no longer feels a sense of belonging, or at home, on the reservation."

Based on the diagram, which equation can be simplified to derive the cosine sum identity?.

Answers

Answer: C

Explanation: Trust

Answer: C

Explanation:

See attachments

It is estimated that 32 patrons will attend an event for every $100 spent in advertising. If tickets cost $75, how much can a promoter expect to increase sales if he spends $25,000 in advertising?.

Answers

In order to increase sales if he spends $25,000 in advertising, the promoter should be expecting 600,000 dollars

If It is estimated that 32 patrons will attend an event for every $100 spent in advertising.

The cost of tickets = $75,

If he spends $25,000 in advertising, divide the amount by 100 dollars

25000/100 = 250

This means 32 x 250 = 8000 patrons is estimated to attend an event.

Since each ticket cost 75 dollars, then, the promoter should expect to increase sales by multiplying 75 dollars by 8000 patrons. That is,

75 x 8000 = 600,000 dollars

Therefore, the promoter should be expecting 600,000 dollars to increase sales if he spends $25,000 in advertising.

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Which of the following statements is true about the occupations available to psychologists with a doctoral degree? a. Occupations are limited to social services jobs, mid-level managers, and financial positions. B. Occupations are vast and can include positions in universities, health care, and private industry. C. Occupations are confined to clinical and counseling positions in hospitals, schools, and prisons. D. Occupations are immense but competitive, so psychologists usually work in accounting.

Answers

Answer:

b

Explanation:

the answer is b ,

Occupations are vast and can include positions in universities, health care, and private industry

Answer:

its B

Explanation:

trust me

Which of these might affect how an age-of-consent law.

Answers

thiers no choices to chose from.

Caleb draws two triangles and claims that the triangles are congruent.

Answers

Answer:

your question needs more description or an image. I'll help if you comment the rest of the question.

Explanation:

You are seated in the driver's seat of your parked car, preparing to drive. You must properly fasten your seat belt.

Answers

when we are seated on the drivers seat and about to drive, one safety measure we should endeavour to follow is that we should always fasten our seat belt.

Not only as drivers but as passengers in a vehicle, this will go a long to ensure our safety in the event of a road crash and during impact.

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Which of the following statements are true about checked and unchecked exceptions.

Answers

There are different kinds of programs. The true statement about checked and unchecked exceptions is that the compiler ensures that the program is handling checked exceptions.

A checked exception is known to be often caught at compile time. A runtime or unchecked exception is, is simply known to be at a runtime.

A checked exception is often done using re-throwing but unchecked does not need to be handled.

See full question below

Which of the following statements about checked and unchecked exceptions is true?

A. Checked exceptions are handled by the Java runtime.

B. The compiler ensures that the program is handling unchecked exceptions.

C. The compiler ensures that the program is handling checked exceptions.

D. All exceptions that are descendants of RunTime, Exception are checked exceptions.

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What spell would newt scamander have used to make his case big enough.

Answers

The Magizoologist in Harry Potter is a man called Newton Scamander. The spell that Newt Scamander can use to make his case big enough is Extension Charm or Capacious extremis.

Capacious extremis when translated means capacity and spacious. This spell helps wizard or witch to alter small enclosures such as like bags and making all kinds of extra invisible space within them.

The Magizoologist Newton Scamander was known to have a magical suitcase that was bewitched with an Undetectable Extension Charm.

He placed a lot of magical beasts while inside it as he traveled.

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You wish to earn a return of 13% on each of two stocks, x and y. Stock x is expected to pay a dividend of $3 in the upcoming year while stock y is expected to pay a dividend of $4 in the upcoming year. The expected growth rate of dividends for both stocks is 7%. The intrinsic value of stock x.

Answers

Based on the information given, the intrinsic value of stock x will be less than the intrinsic value of stock Y.

Based on the information given above, the intrinsic value of Stock X will be calculated thus:

D1 = Dividend in next year = $3

g = growth rate = 7%

r = = 13%

Therefore, intrinsic value of Stock X will be:

= D1 / (r-g)

= 3 / (13% - 7%)

= 3/6%

= 3 / 0.06

= $50

Therefore, the intrinsic value of stock X is $50.

Intrinsic value of Stock Y will be calculated thus:

D1 = $4

g = 7%

r = 13%

Intrinsic value of Stock Y will be:

= D1 / (r-g)

= 4 / (13% - 7%)

= 4/6%

= 4 / 0.06  

= 66.67

Intrinsic value of Stock Y is $66.67

Therefore, the intrinsic value of Stock X will be less than the intrinsic value of Stock Y.

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Which of the following lists includes only organisms composed of cells?.

Answers

Answer:

last one

Explanation:

protists, bacteria, plants

Hugo works for the produce and pantry grocery store as a bagger. He earns $57. 50 for a 5-hour shift. How much does he earn per hour?.

Answers

Answer:

$11.50 per hour

Explanation:

57.50 divided by 5

What are the equations of the asymptotes of the hyperbola? (y+4)236−(x−6)249=1 enter your answer in point-slope form by filling in the boxes. Enter the slope as a simplified fraction.

Answers

The point slope form of the asymptote of the hyperbola is; y - 4 = ±(6/7)(x - 6)

We are given the equation of the hyperbola as;

[(y + 4)²/36] - [(x - 6)²/49] = 1

We can rewrite this equation as;

[(y + 1)²/6²] - [(x - 6)²/7²] = 1

The general equation form of hyperbola is;

[(y - k)²/a²] - [(x - h)²/b²] = 1

Comparing this general form to our given equation we can see that;

k = -4

h = 6

a = 6

b = 7

Now the equation of the asymptote of a hyperbola follows the general formula;

y = ±[a(x - h)/b] + k

Plugging in the relevant values gives us;

y = ±(6/7)(x - 6) - 4

>> y - 4 = ±(6/7)(x - 6)

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Answer: y+4=±6/7(x−6)

Explanation: I just took the test. This is the right answer.

Which statement best summarizes brown’s message in this essay?.

Answers

Answer:

where the essay?

Explanation:

In casting experiments performed using a certain alloy.

Answers

Answer:
A) Cm = 2.232 s/mm²
B) Time taken to solidify = 74.3 seconds
Explanation:
(A) Since a side is 50mm and all sides of a cube are equal, thus, Volume of the cube is;V = 50 x 50 x 50 = 125,000 mm³
There are 6 faces of the cube, thus Surface Area A = 6 x (50 x 50) = 15,000 mm²
So, Volume/Area = (V/A) = 125,000/15,000 = 8.333 mm
Cm is given by the formula; Cm =[Tts] /(V/A)² where Tts is time taken to solidify and it's 155 seconds in the question. Thus;
Cm = 155/(8.333)²= 2.232 s/mm²
(B) For;Cylindrical casting with D = 30 mm and L = 50 mm.;
Volume of cylinder is;
V = (πD²L) /4
So,V = (π x 30² x 50)/4 = 35,343mm³
Surface area of cylinder is;
A = (2πD²)/4 + (πDL)
Thus, A = ((π x 30²)/2) + (π x 30 x 50) = 6126 mm²
Volume/Area is;
V/A = 35,343/6126 = 5.77 mm
Same alloy and mold type was hsed as in a above, thus, Cm is still 2.232 s/mm²
Since Cm =[Tts] /(V/A)²
Making Tts the subject, we have;
Tts =Cm x (V/A)²
Tts = 2.232 x (5.77)² = 74.3 seconds
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