4. A woman from Pasadena makes a trip to a nearby shopping mall that is located 40 miles from her home.
On the trip to the mall she averages 80 mi/hr but gets a speeding ticket upon her arrival. On the return
trip she averages just 40 mi/hr. What was her average speed for the entire trip?

Answers

Answer 1

Taking into account the definition of speed, you get that the average speed of the entire trip is 53.33 [tex]\frac{mi}{hr}[/tex] .

It is necessary to know that speed ​​is a quantity that expresses the relationship between the space traveled by an object and the time used for it.

In other words, speed can be defined as the amount of space traveled per unit of time with which a body moves and can be calculated using the expression:

[tex]speed= \frac{distance traveled}{time}[/tex]

In this case, you know that the shipping mall is 40 miles from the woman's house and that she is going to the mall and back home. So it runs the 40 miles of distance twice. So the distance traveled is 80 miles.

On the other hand, you know that on the trip to the mall she averages 80 [tex]\frac{mi}{hr}[/tex]. Since the woman travels the first 40 miles at that speed, and taking into account the definition of speed, the time it takes to go to the shopping mall is calculated as:

[tex]80\frac{mi}{hr} = \frac{40 mi}{time}[/tex]

Solving:

time× 80 [tex]\frac{mi}{hr}[/tex]= 40 mi

[tex]time = \frac{40 mi}{80\frac{mi}{hr}}[/tex]

time=0.5 hr

Finally, you know that on the return trip she averages just 40 [tex]\frac{mi}{hr}[/tex]. Since the woman travels the second 40 miles at that speed, and taking into account the definition of speed, the time it takes to return to her home is calculated as:

[tex]40\frac{mi}{hr} = \frac{40 mi}{time}[/tex]

Solving:

time× 40 [tex]\frac{mi}{hr}[/tex]= 40 mi

[tex]time = \frac{40 mi}{40\frac{mi}{hr}}[/tex]

time=1 hr

Then, the total time of the trip, which consists of going to the shopping mall and returning home, is calculated as:

total time= 0.5 hr + 1 hr

total time= 1.5 hr

Finally, taking into account the definition of speed, average speed of the trip is calculated as:

[tex]speed= \frac{80 miles}{1.5 hr}[/tex]

Solving:

speed= 53.33 [tex]\frac{mi}{hr}[/tex]

In summary, the average speed of the entire trip is 53.33 [tex]\frac{mi}{hr}[/tex] .

Learn more about average speed:

brainly.com/question/15273551 brainly.com/question/9834403?referrer=searchResults

Related Questions

the right-hand tube of the manometer is open to the atmosphere. The pump has been operated so that the mercury levels differ, as shown, by 250 mm. The density of mercury is 13 600 kg / m3. i) Calculate the pressure, in Pa, due to the 250 mm column of mercury.

Answers

Answer:

P(ressure) = d g h = density * gravity * height

P = 13600 * 9.8 * .25 = 33,300 Pa

Check:    1 atm = 76 cm = 760 mm height = 1.01 * 10E5 Pa

h = 1.01 * 10E5 / 9.8 * 13600 .758 m = 758 mm for 1 atm

250 / 758 = 1/3 atmosphere  = 33,700 Pa   close enough for estimates

(the pressure requested is 1/3 atmosphere where 1 atm = 760 mm Hg)

A cyclist travels at 15 m/s during a sprint finish. What is this speed in km/h

Answers

Answer:

54km/hr

Explanation:

Since we have to complete m/s to km/h.

we can simply divide the m/s by (5/18)

so we get 54km/hr

Nikki has a momentum of 45 Kilogram meters per second and a mass of 30 Kilograms. What is her velocity?

Answers

Answer:

45/30

Explanation:

bbsksksbsnbksbsksbs

Nikki has a momentum of 45 Kilogram meters per second and a mass of 30 Kilograms. then her velocity would be 1.5 meters per second

What is momentum?

It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle, and the momentum of any particle is expressed in Kg m/s unit.

Mathematically the formula of the momentum is

P = mv

where P is the momentum of the particle

m is the mass of the particle

v is the velocity by which the particle is moving

As given in the problem Nikki has a momentum of 45 Kilogram meters per second and a mass of 30 Kilograms

P = 45 Kilogram meters per second

m = 30 Kilograms

By substituting the values of the momentum and the mass in the formula of the momentum

P = mv

45 = 30 ×v

v = 45/30 meters per seconds

v = 1.5 meters per seconds

Thus, Nikki weighs 30 kilograms and moves at a 45 kilogram per the second momentum. subsequently, her velocity would be 1.5 meters per second.

Learn more about momentum from here

brainly.com/question/17662202

#SPJ4

Question on picture please help

Answers

Answer:

the only one I know is physics is not absent in our lives so that's false

Water does not run out of dropper unless the rubber-bulb is pressed. Why?

Answers

Answer:

The pressure inside the dropper is same as the atmospheric pressure when the rubber bulb is not pressed. ... But when we press the rubber bulb the pressure inside the dropper increases and hence the water flows out.  Atmospheric pressure acting from outside the dropper balances the pressure exerted by water and water does not come out of a dropper. On pressing the dropper inside pressure of water becomes more than outside atmospheric pressure and water run out. When we press the bulb of a dropper with its nozzle kept in water, air in the dropper is seen to escape in the form of bubbles. Once we release the pressure on the bulb, water gets filled in the dropper.

                                             Thank You

                                        Please mark me brainliest

4:36 PM
How high can a human throw a ball if he can throw it with initial velocity 90 kph

Answers

Answer:

90 km/hr= 90000/3600=25 m/s initial velocity

-25/ 2 (-4.9)= 2.551 secs

h(2.551)= -4.9 (2.551)² + 25(2.551)=-31.8872449+63.775 = 31.8m

The distance would be 31.8 meters, also that person will have sore arm.

which of the following are fundamental unit ?
I.candela
II.ampere
III.mole
IV.all of these​

Answers

Answer:

all of these very easy questions

b Write out the following in full:
103 2 x 106 6.92 x 104 1.34 x 102 10
Can somebody help?

Answers

Answer:

b

Explanation:

A tall pea plant (Tt) is crossbred with a short pea plant (tt). The following Punnett square shows the separated alleles for two pea plants.
Which of the following shows the correct match of the box numbers and the genotype of the offspring?
A. 1 = Tt; 2 = tt; 3 = Tt; 4 = tt
B. 1 = Tt; 2 = Tt; 3 = Tt; 4 = Tt
C.1 = Tt; 2 = Tt; 3 = tt; 4 = tt
D. 1 = Tt; 2 = tt; 3 = tt; 4 = tt

Answers

[tex]Hello[/tex] [tex]There![/tex]

The answer is...

A. 1 =Tt; 2 = tt; 3 = Tt; 4 = tt.

Hopefully, this helps you!!

[tex]AnimeVines[/tex]

A student uses the right-hand rule as shown.
What is the direction of the magnetic field in front of the wire closest to the student?
O up
Oright
O down
O left

Answers

Answer: O:right

Explanation: In this case you place your finger on the current, and your fingers should curl showing the way, you must use your right hand in this case, otherwise that would mean the fingers on your left would bend way back, and snap off, (Not really lol,  just saying)

The direction of the magnetic field in front of the wire closest to the student is right. Thus, the correct option is B.

The direction of the magnetic field encircling a current-carrying wire can be determined using the right-hand rule. The magnetic field's direction is shown by the direction in which your fingers wrap around the wire if you point your right thumb in the direction of the current.

In this case, the student is using the right-hand rule with their thumb pointing upward. This means that the direction of the current is flowing into the page, perpendicular to the direction of their thumb.

To determine the direction of the magnetic field in front of the wire closest to the student, we can curl our fingers around the wire in the direction of the current (into the page) while keeping our thumb pointing upward. This results in the direction of the magnetic field being to the student's right.

To learn about Fleming's left-hand rule, click: https://brainly.com/question/20347569

#SPJ7

It is better to use crow bar to displace a heavy load than with hands . Give reason .​

Answers

Explanation:

Cause it multiples force which makes it easier to move.

A brick is 32cm long and 10cm wide. It weighs 16N and is lying on the ground. Find the pressure exerted by the brick on the ground.

Answers

Answer:

Below

Explanation:

First, we need to convert the dimension from cm to m before plugging it into the equation:

     32 / 100 = 0.32 m

     10 / 100 = 0.1 m

You can use this equation to find the pressure exerted on the ground

     Pressure = Force / Area

Plugging our values in.....

     Pressure = 16 Newtons / (0.1)(0.32)

                     = 16 Newtons / 0.032

                    = 500 N/m^2

Hope this helps! Best of luck <3

What does v or vf stand for? What SI units are used to measure it?

Answers

Answer:

Below

Explanation:

In my experience, vf means final velocity, and v would be the average velocity!

You would write it as ΔV (delta V)

The SI units that are used to measure it are m/s

Hope that helped!

v and vf stand for velocity and final velocity respectively. its SI unit is to measure it is m/s.

What is velocity & Acceleration ?

Velocity is "rate in change of displacement with respect to time".

i.e. v= dx/dt. It is denoted by v.

it is also defined as displacement divided time. i.e. v= Displacement÷Time.

Velocity shows how much distance can be covered in unit time. It's SI unit m/s.

Acceleration is rate in change of velocity with respect to time.

i.e. a = dv/dt

if an object changes its velocity in short time, we can say that it has greater acceleration.

a= dv/dt =Δv/Δt =  [tex]\frac{v_{i} - v_{f} }{t_{i}-t_{f} }[/tex]

where    [tex]v_{i}[/tex]= initial velocity of an object

             [tex]v_{f}[/tex]= final velocity of an object

             t₂= initial time of an object

             t₁ = final time of an object

Hence v is stands for velocity and vf is stand for final velocity,

To know more about velocity, click :

https://brainly.com/question/17127206

#SPJ2

Actividad
1: En general, la dificultad para arrancar electrones aumenta de izquierda a derecha en cada periodo de la tabla periódica. Busca en la tabla periódica potasio (K), calcio (Ca) y uranio (U) y basándote en sus posiciones indica cuál de ellos tendrá una función de trabajo más baja y cuál más alta:


Menor función de trabajo:

Mayor función de trabajo:


2.- La energía de un electrón emitido se mide en electrón-voltios(eV). Un electrón con una energía de 1 eV puede superar un campo eléctrico de 1 voltio. En el simulador, aumenta la tensión hasta que encuentres la tensión más alta que todavía permite a los electrones llegar al amperímetro.


Tensión =


El volaje que has encontrado es igual a la energía de los electrones emitidos en eV.

Answers

La polica and los policio is the same things an i right or wrong I believe so

When 4050 joules of heat were applied to 150g of aluminum, the final temperature was 50 degree Celsius. What was the initial temperature? Take specific heat capacity of aluminum as 900J/kg degree Celsius.

Answers

Answer:

[tex]\boxed {\boxed {\sf 20 \textdegree C}}[/tex]

Explanation:

We are asked to find the initial temperature of aluminum. We will use the following formula.

[tex]q= mc \Delta T[/tex]

Where q is the heat energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature, which is also the difference between the final and initial temperature.

[tex]q= mc (T_f-T_i)[/tex]

We know the heat energy applied is 4050 Joules, the mass is 150 grams, the final temperature is 50 degrees Celsius and the specific heat is 900 Joules per kilogram degree Celsius.

We must convert the mass to kilograms because the specific heat is in kilograms. 1 kilogram contains 1000 grams.

[tex]\frac { 1 \ kg }{1000 g }[/tex][tex]150 \ g *\frac{ 1 \ kg }{1000 g } = 150 * \frac {1}{1000} \ kg = 0.150 \ kg[/tex]

Substitute all the known values into the formula.

q= 4050 J m= 0.150 kg c = 900 J/g °C [tex]T_f[/tex]= 50°C

[tex]4050 \ J = (0.150 \ kg )(900 \ J/kg \textdegree C)(50 \textdegree C -T_i)[/tex]

We are solving for the initial temperature, so we must isolate the variable [tex]T_i[/tex]It is being multiplied by 0.150 kilograms and 900 Joules per kilogram degree Celsius. The inverse operation of multiplication is division, so we divide by both values.

[tex]\frac {4050 \ J}{ (0.150 \ kg )(900 \ J/kg \textdegree C)}= \frac{(0.150 \ kg )(900 \ J/kg \textdegree C)(50 \textdegree C -T_i)}{(0.150 \ kg )(900 \ J/kg \textdegree C)}[/tex]

[tex]\frac {4050 \ J}{ (0.150 \ kg )(900 \ J/kg \textdegree C)}=(50 \textdegree C -T_i)}[/tex]

The units of Joules and kilograms cancel.

[tex]\frac {4050 }{ (0.150 )(900 \ \textdegree C)}=(50 \textdegree C -T_i)}[/tex]

[tex]\frac {4050}{135} \textdegree C = (50 \textdegree C -T_i)[/tex]

[tex]30 \textdegree C = (50 \textdegree C -T_i)[/tex]

50 degrees Celsius is being added to [tex]-T_i[/tex]. The inverse operation of addition is subtraction. Subtract 50 degrees Celsius from both sides.

[tex]30 \textdegree C - 50 \textdegree C= 50 \textdegree C - 50 \textdegree C - T_i[/tex]

[tex]-20 \textdegree C = -Ti[/tex]

[tex]T_i[/tex] is being multiplied by -1. The inverse operation of multiplication is division. Divide both sides by -1.

[tex]\frac {-20 \textdegree C}{-1}= \frac{-T_i}{-1}[/tex]

[tex]20 \textdegree C = T_i[/tex]

The initial temperature of the aluminum was 20 degrees Celsius.

how is light reflected from a prism​

Answers

Answer:

White light entering a prism is bent, or refracted, and the light separates into its constituent wavelengths. Each wavelength of light has a different colour and bends at a different angle. The colours of white light always emerge through a prism in the same order—red, orange, yellow, green, blue, indigo, and violet.

White light entering a prism is bent, or refracted, and the light separates into its constituent wavelengths. Each wavelength of light has a different colour and bends at a different angle. The colours of white light always emerge through a prism in the same order—red, orange, yellow, green, blue, indigo, and violet.

what is the name of the chart that contain elements?​

Answers

Answer:

Element Chart

Explanation:

It is a chart that provides many different elements.

in the Newton's Third Law of Motion state three characteristics ​

Answers

Answer:

Newton's third law: If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A. This law represents a certain symmetry in nature: forces always occur in pairs, and one body cannot exert a force on another without experiencing a force itself.

how is circuit used to make permanent magnet

Answers

Answer:

The touch in a circuit is by forming a circuit with the bars, and moving the horseshoe magnet backwards and forwards upon it. Between the two poles a strong current is excited, & on moving the magnet around we magnetize the bars to saturation i.e. to as a high degree as the bar is capable of retaining.

Explanation:

Please give me brainliest! Hope I helped! :)

what is the relationship between high frequency and short wavelength? Low frequency and long wavelength?​

Answers

Answer:

The frequency of a wave is inversely proportional to its wavelength. That means that waves with a high frequency have a short wavelength, while waves with a low frequency have a longer wavelength.

What is the kinetic energy of a bicycle with a mass of 16 kg traveling at a velocity of 5 m/s

Answers

Answer:

200J

Explanation:

K.E=½mv²

K.E=½×16kg×5m/s²

K.E=8kg×25

K.E=200J

Jan is 1.32 meters tall. What is her height in inches?

Answers

Answer:

51.96 inches

Explanation:

Multiply 1.32 by 39.37

Answer:

52.0 inches

Explanation:

1.32 meters * 39.37  = 51.96 inches ~ 52.0 inches

what are each layer on an atom​

Answers

protons, electrons, and neutrons. The nucleus (center) of the atom contains the protons (positively charged) and the neutrons (no charge).

Explanation:

Protons electrons and neutrons

A car starts from rest and accelerates uniformly at a rate of 8.0 meter per second squared for 1.0 meters. At the end of this time interval, the car's final velocity is ___ meters per second.

Answers

Answer:

The answer is [tex]v=4ms^{-1}[/tex]

Explanation:

Given,

[tex]u=0\,ms^{-1}\\a=8\,ms^{-2}\\s=1\,m\\\\v=?[/tex]

We know,

∴[tex]v^{2}=u^{2} +2as\\=>v^{2} =0^{2} +2*8*1\\=>v^{2}=16\\v=4\,ms^{-1}[/tex]

Hope you have understood this....

pls mark my answer as the brainliest

Abishek is a runner. He runs the 100 m sprint
in 10 x 6s. What speed did he travel at?
(in m/s)​

Answers

Answer:

1.67m/s

Explanation:

Total Distance to be travelled by a Runner=100m

Time Taken=10*6s

Speed=Distance/Time

=100/10*6=10/6=1.67m/s

The answer you are looking for is approximately 1.67 m/s.

Solution/Explanation:

Distance Ran: 100 m.

Time ran: 10x6s, or 60s, or one minute.

Speed: Unknown?

Writing out the formula for speed, using distance and time,

S=D/T.

S=Speed.

D=Distance.

T=Time.

Substituting the given values of the variables,

S=100 m/10x6s, or S=100 m/one minute, or S=100 m/60s.

100÷60=1.6667≈1.67.

So, therefore, the final answer is approximately 1.67 m/s.

I hope that this has helped you. Enjoy your day, and take care.

Class 10 cbse

Question: Draw the ray diagram in each case to show the position and nature of the image formed when the object is placed:
(i) at the centre of curvature of a concave mirror
(ii) between the pole P and focus F of a concave mirror
(iii) in front of a convex mirror

Answers

Explanation:

I hope it will help you. But I am in Grade nine .And sry too cuz I told the answer of Grade nine .

A body of density 9.0cm appears to have mass 27.0g in a liquid of density 1.2gcm. What is the volume of the solid?​

Answers

Answer:

v * 9.0 = 27.0 + (v * 1.2)

How many cm are in 900 feet? Using the method of dimensional analysis

Answers

1 foot = 30.48 cm

(x900) (x900)

900 feet = 27432 cm

Pls give me a brainliest if this helped thx

Describe how you would measure the Volume of an irregular solid object.
You can include any apparatus and equations.

Answers

Answer:

Find a recipient that you can put the object completely inside, and fill this recipient with water. After, you put the irregular solid you want to measure the volume inside, and the water will spill out the recipient. So you take the water that spilled out and uses a graduated recipient to measure the volume of water. The volume of the solid will be exactly the same volume of water that spilled of the first recipient

If a ball is rolling at a velocity of 1.5 m/s and has a momentum of 10.0 kg times m/s, what is the mass of the ball?

Answers

Answer:

Mass of the ball, M = 6.667 kg

Explanation:

Given data:

Momentum, Mo = 10.0 kgm/s

Velocity of the rolling ball, V = 1.5 m/s

Mass of the body, M = ?

Momentum, Mo = Mass, M x Velocity, V

10.0 kgm/s = M x 1.5 m/s

Divide each side by 1.5 m/s

M = 10.0 kgm/s / 1.5 m/s

M = (6⅔) kg

:. Mass of the ball, M = 6.667 kg

Other Questions
ASAPThe Pizza Shack charges $8 for each pizza. No matter how many pizzas you order, they charge $5 for delivery. Using p for the number of pizzas, what is an expression for the cost to have pizzas delivered to your home? what is the domain and range f(x)=x^3 Pls help will do brainliest answer Solving equations and inequalities.Im confused on the subtraction behind the one, am I supposed to turn the one into a negative? 1-(4+3x) NEED HELP ASAP Find the length of the arc look at the table below and answer the following question 5x-9=2x+12can somebody answer this and if possible, can you show work? Xian and his cousin Kal both collect stamps. Xian has 52 stamps, and Kal has 68 stamps. The boys recentlyjoined different stamp-collecting dubs. Xian's club will send him 20 new stamps per month. Kai's club willsend him 16 new stamps per month. After how many months will Xlan and Kal have the same number ofstamps? How many stamps will each have? PLEASE HELP!!!!!! Im being timed Which phrase best describes Earth's biodiversity?a. greater in consistently warm areasb. greater toward Earth's polesc. greater according to energy needsd. greater where temperatures are most variable what is 2 + 5helppls what is the sum for the 20th row and the 50th row Part BCan image 2 be the reflected figure? Explain your answer. Explain what a medical assistant is and what they do Is 1 3/4 closer to 1 or 2 ? Explain your answer The art museum had an exhibit named "Flower Power." Each of the 36 paintings featured colorful flowers. The paintings were hung in one row. The 12th painting had white, blue, and yellow flowers. Every 3rd painting after that had white flowers, every 4th one had blue flowers, and every 6th one had yellow flowers.How many paintings in all had all three colors of flowers? In which places were those paintings in the row? ANSWER QUICK 70 POINTS!!!!!!!!!!!!!!Identify the property that justifies each step asked about in the answer area below.Line 1: (9+x)xLine 2: x(9+x)Line 3: x(x+9) Complete the simplified ratio.40 min : 3 hours 18) Technician A says that adjustable wrenches should be used whentorquing fasteners. Technician B says that adjustable wrenches can roundthe edges of fasteners. Which technician is correct?A) Technician A onlyB) Technician B onlyO C) Both techniciansD) Neither technician Help, been trying for forever