Pamela drove her car 999999 kilometers and used 999 liters of fuel. she wants to know how many kilometers (k)(k)left parenthesis, k, right parenthesis she can drive with 121212 liters of fuel. she assumes the relationship between kilometers and fuel is proportional. answer

Answers

Answer 1
When the relationship between two variables are said to be proportional, it means that one variable is a constant multiple of the other variable. They are related by a constant of proportionality, usually denoted as k. 

In this problem, the dependent variable is the distance in kilometers. Your mileage is limited with the amount of fuel you have. Thus, the independent variable is the liters of fuel. When these two are proportional, it could be expressed as

distance = k * liters of fuel, such that 
distance/liters of fuel = k

By variation,

distance,1/liters of fuel,1 = distance,2/liters of fuel,2, where 1 denotes situation 1 and 2 denotes situation 2. Therefore,

 999999 km /999 liters =  x km /121212 liters, where x is the unknown distance. We can now therefore find the value of x.

x = (999999*121212)/999
x = 121333212 kilometers
Answer 2

Pamela can drive 121,333,212 kilometers with 121212 liters of fuel, given her car's fuel efficiency is 1001 kilometers per liter.

Pamela drove her car 999999 kilometers using 999 liters of fuel. She wants to know how many kilometers (k) she can drive with 121212 liters of fuel, assuming the relationship between kilometers and fuel is proportional.

To find the number of kilometers she can drive with 121212 liters of fuel, we first need to determine her car's fuel efficiency, which is:

Fuel Efficiency (km per liter) = 999999 km / 999 liters = 1001 km per liter

Next, we use this fuel efficiency to calculate the distance she can drive with 121212 liters of fuel:

Distance (k) = Fuel Efficiency × Amount of Fuel

Distance (k) = 1001 km per liter × 121212 liters = 121333212 kilometers

Therefore, Pamela can drive 121,333,212 kilometers with 121212 liters of fuel.


Related Questions

help me solve this: a bicyclist in the tour de france crests a mountain pass as he moves at 18 km/h. At the bottom, 4.0 km farther, his speed is 75 km/h. what was his average acceleration (in m/s square) while riding down the mountain?

Answers

First we have to convert:
75 km / h ( * 3.6 ) = 270 m/s
18 m/s = 64.8 m/s
d = v i · t + 1/2 a · t²
v = v i + a t
-----------------------------------
4000 = 64.8 · t + 1/2 a · t²
270 = 64.8 + a t
a = ( 270 - 64.8 ) / t
a = 205.2 / t
4000 = 64.8 t + 1/2 · ( 205.2 / t ) · t²
4000 = 64.8 t + 102.6 t
4000 = 167.4 t
t = 4000 : 167.4 = 23.89 s
a = 205.2 : 23.89 = 8.58 m/s²
Answer: His average acceleration was 8.58 m/s²

In your opinion, is "avoiding" an effective conflict management strategy? Why or why not?


Answers

in my personal opinion, avoiding in not an effective conflict management strategy. When you are avoiding a conflict, you are really just pushing it to the side and it will need to be dealt with sooner or later. Avoiding a conflict is also ammeter thing to do as well, you should take responsibility and handle any situation.

I don't think avoiding would be an effective conflict management strategy, because if it's something serious or even something small you shouldn't really ever avoid anything especially if it's between you and another person because it could damage something between you two for awhile or maybe forever. So no i don't think that is a good why to handle something.

What is the theory of punctuated equilibrium answers?

Answers

The theory of punctuated equilibrium states that is a species appear in a fossil record, they will become stable over time and can show little changes in evolution as time goes by. An example would be the feline creatures. Although cats and tigers have a different structure in their body, the facial structure and the way they hunt are similar.

Answer:  

The theory of punctuated equilibrium is a theory of evolutionary biology that aims to explain the pattern of speciation, which is observed in the fossil records. It states that the organism is in the stasis, until a major changes cause evolutionary pressure, which leads to a rapid speciation until stability is again reached between the organism.

Example: A species of sea animals live, breed and dies from thousands of years, suddenly the sea level changes and animals adapt to that situation.






Suppose oil spills from a ruptured tanker and spreads in a circular pattern. if the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 34 m?

Answers

The area of the oil spill is increasing at a rate of 68 \\pi square meters per second when the radius is 34 meters.

Let's denote the radius of the oil spill as r and the area as A. The area of a circle is given by A = \\pi r^2. To find the rate at which the area is increasing (\\frac{dA}{dt}), we need to differentiate A with respect to time t. Given that the radius increases at a constant rate of 1 m/s (\\frac{dr}{dt} = 1 m/s), and using the chain rule, we have \\frac{dA}{dt} = \\frac{dA}{dr} \\cdot \\frac{dr}{dt} = 2\\pi r \\cdot 1 m/s. When the radius r is 34 m, the rate of increase in area will be \\frac{dA}{dt} = 2 \\cdot \\pi \\cdot 34 m \\cdot 1 m/s = 68 \\pi square meters per second.

An astronaut on a strange planet has a mass of 80 kg and a weight of 240 n. what is the value of the acceleration due to gravity on this planet?

Answers

Weight force is calculated with mg. So we have W = mg and so g = W/m = 240/80 = 3m/s.

if an astronaut on a strange planet has a mass of 80 kilograms and a weight of 240 newtons, then the value of the acceleration due to gravity on this planet would be 3 meters per second².

What is gravity?

It can be defined as the force by which a body attracts another body towards its center as the result of the gravitational pull of one body and another,

The acceleration due to gravity = The weight on the planet/mass of the astronaut

The acceleration due to gravity in the strange planet = 240/80

                                                                                         = 3 m / s²

Thus, the acceleration caused by gravity on a foreign planet would be 3 meters per second² if an astronaut there weighs 240 newtons and has an 80-kilogram mass.

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Nuclear binding energy is necessary to overcome which of the following? Einstein's mass defect
kinetic energy of the nucleus
repulsion of the protons
weak nuclear force

Answers

Nuclear binding energy is necessary to overcome EINSTEIN'S MASS DEFECT. Nuclear binding energy refers to the energy required to separate an atomic nucleus into its constituent elements, that is protons and electrons. The mass of a nucleus is always less than the sum of all its constituents. The difference is a measure of the nuclear binding energy which holds the nucleus together and it is called mass defect and can be calculated for using Einstein's formula for mass defect.

Answer:

It is C!

Explanation:

I got a 100% trust me

How do the components of a vector transform under a translation of coordinates?

Answers

Vectors are invariant under translation. This means that they are unaffected or unchanged even if the coordinates are translated. So while the coordinates of two points are changed or moved during translation, the distance between the two points does not change. The best way to picture this out is using real life scenario. For example, you and I are at rest relative to each other but sitting on a plane at different locations, then we will have a fixed distance. Now the plane flies and its overall location is changed, similarly our individual coordinates also change but the distance between us will remain the same.

How many joules of energy does a 100-watt light bulb use per hour?

Answers

Watt is a unit of power that is a simplified form of the quotient of joules and seconds. 
  
                                    1 Watt = 1 joule / second

It is known that 1 hour is equal to 60 minutes that is also equal to 60 seconds. Converting 1 hour to second,

              1 hour x (60 minutes/1 hour) x (60 seconds/1 minute)  = 3600 sec

Thus, for every hour, there is 3600 seconds.

                                   Energy = (100 Joule/second)(3600 s)
                                   Energy = 360,000 joule

Thus, the energy emitted by the bulb is equal to 360,000 joule. 

A 100-watt light bulb uses 360,000 joules of energy per hour, calculated by multiplying the power (100 watts) by the time (3600 seconds) the bulb is illuminated.

To calculate the energy used by a 100-watt light bulb in one hour, you can use the relationship between watts, joules, and time. Since power (in watts) is defined as energy (in joules) per time (in seconds), we can rearrange this to find that energy is equal to power multiplied by time. For a 100-watt light bulb being on for one hour (which is 3600 seconds), the energy consumption would be 100 watts× 3600 seconds.

Therefore, a 100-watt light bulb uses 360,000 joules of energy per hour.

When there are more waves passing through the reference point in a period of time, what wave characteristic also increase?

Answers

Frequency increases.

A bullet of mass 20g strikes a block of mass 980g with a velocity u and gets embedded in it. The block is in contact with a spring whose force constant is 100N/m. After the collision the spring is compressed to 10cm. Find: 1. Velocity of the block after the collision. 2. Magnitude of the velocity of the bullet. 3. Loss in kinetic energy due to the collision.

Answers

Refer to the diagram shown below.

m = 20g = 0.02 kg, mass of bullet
M = 980 g = 0.98 kg, mass of block
u =  velocity of bullet before impact
k = 100 N/m, spring constant
x = 10 cm = 0.1 m, compression of spring

Before impact,
The bullet travels at velocity u m/s, and the block is stationary.
The momentum of the system is
P = mu = (0.02 kg)*(u m/s) = 0.02u (kg-m)/s
The initial kinetic energy, KE, of the system is
KE₁ = (1/2)mu² = (1/2)(0.02 kg)*(u m/s)² = 0.01u² J

At impact, the momentum is preserved. The bullet is embedded in the block, and they move together with velocity v on a frictionless surface.
Therefore
(M+m)v = mu
(0.02+0.98)v = 0.02u
                   v = 0.02u     
The KE of the system becomes
KE₂ = (1/2)*(0.02+0.98 kg)*(v m/s)² = 0.5v² J

The KE₂ of the system will be stored in the spring as strain energy (if energy losses are ignored).
The strain energy stored in the spring is
SE = (1/2)kx² = (1/2)*(100 N/m)*(0.1 m)² = 0.5 J

Equate KE₂ to SE to obtain
0.5v² = 0.5
v = 1 m/s

Because v = 0.02u, therefore
u = 1/0.02 = 50 m/s

The loss in KE due to the collision is
KE₁ - KE₂ = 0.01(50²) - 0.5(1²) = 24.5 J

Answer:
The velocity of the block after the collision is 1.0 m/s
The velocity of the bullet is 50 m/s
Loss in KE due to the collision is 24.5 J

Why does the burning of fossil fuels increase the greenhouse effect on earth? why does the burning of fossil fuels increase the greenhouse effect on earth? burning fuel warms the planet. burning releases carbon dioxide into the atmosphere. burning depletes the amount of ozone, thereby warming the planet. burning produces infrared light, which is then trapped by existing greenhouse gases. all of the above are true?

Answers

The burning of fossil fuels increase the greenhouse effect on earth because burning releases carbon dioxide into the atmosphere, and carbon dioxide increase the green house effect. There are also many other factors which increases the green house effect like severe storms. Green house gases absorbs the infrared light, that is why according to the increase of green house gases, the temperature of earth also increases.

Answer: carbon dioxide

Explanation:

If the strength of the magnetic field at A is 5 units, the strength of the magnetic field at B is

Answers

1.25, if the field is 1 meter away. I think that that is correct.
I am guessing the answer is 1.5. Im a little rusty on the subject though

What happens when you modify a pwc's exhaust system?

Answers

PWC stands for Personal WaterCraft.
When you modify a PWC's exhaust system it may raise noise to an illegal level.
That's why, you should avoid maneuvers that cause the engine exhaust to lift out of the water. The noise can be irritant to people, so avoid making excessive noise near residential and camping areas.

A heavy rope, 50 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 120 ft high. how much work is done (in ft-lb) in pulling half the rope to the top of the building?

Answers

The formula used in calculating for values of work is given as:

W = F d

However on the above formula, the force is constant but i this case, it is changing. Therefore we make use of the general form with the integral notation: 
W = ∫F(x) dx

with limits of x from 0 to 25 since only half of the rope is be pulled

The equation for F (x) is equal to the product of mass density and length x:
F(x) = 0.5x 
Substituting this into the integral work equation:
W = 0.5∫x dx

W = 0.5(0.5) [x2^2 – x1^2]                  ---> x from 0 to 25

W = 0.25 [25^2 -0]

W = 156.25 ft * lbs 

If a train and a car are traveling at the same speed, they have the same amount of kinetic energy.

Answers

This argument is false.

Kinetic energy not only depends on the speed but also the mass of the object

Apparently, the mass of car is not equal to the mass of train


This is false because kinetic energy also depends on the mass, and the mass of a train would be different from the mass of a car.

The rare earth elements include

Answers

Sc (21) , Y (39) , La (57) , Ce (58) , Pr (59) , Nd (60) , Pm (61) , Sm (62) , Eu (63) , Gd (64) , Tb (65) , etc (hoped that helped)

a stone is projected in air. its time of flight is 3 sec and the range is 150. maximum height reached by the stone is

Answers

the answer:
this is an example of problem of projectile motion,so some rule must be mastered if we should solve such a query.
for more explanation please see the attached file

Why should you not use emery cloth for polishing the commutator of an appliance motor? A. It wears the surface too much. B. Its dust conducts electricity. C. It fails to remove oily, discolored spots. D. Its material reacts chemically with copper.

Answers

The correct option is D. It is not ideal to use emery clothe to clean commutator because, particles of emery are conductive and they may short circuit the commutator bars. If the commutator becomes black, the best way to clean it is by wiping it with dry, lint free cloth. The motor could also be vacuumed using dry air.

Final answer:

B. Its dust conducts electricity.

Explanation:

Using emery cloth for polishing the commutator of an appliance motor can generate conductive dust particles. When these particles come into contact with the commutator, they can cause short circuits or other electrical malfunctions, potentially damaging the motor. While option A, wearing the surface too much, could also be a concern, the primary reason to avoid emery cloth is the risk of conductive dust. Options C and D are not directly related to the electrical conductivity issue associated with emery cloth. Therefore, option B is the most appropriate choice to avoid potential electrical hazards during motor maintenance.

When the mass of an object decreases, the force of gravity
A, remains unchanged. B. decreases C. increases. D. becomes irregular.

Answers

When the mass of an object decreases the force of gravity B. Decreases

Answer:

decreases

Explanation:

The force with which the earth attracts any body towards its centre is called the force of gravity. It is also called as the weight of the body.

The formula of force of gravity is given by

[tex]F = m \times g[/tex]

where, m is the mass of the body and g be the acceleration due to gravity.

The force of gravity depends on the mass of the object and the value of acceleration of gravity at that place.

If the mass of the body decreases, the force of gravity also decreases.

A rock thrown with speed 8.50 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. from what height was the rock thrown? use the value g = 9.800 m/s2 for the free-fall acceleration.

Answers

Final answer:

By decomposing the initial velocity into horizontal and vertical components and applying the formulas for projectile motion, we deduced that the rock was thrown from a height of 21.68 meters above the ground.

Explanation:

To solve for the initial height from which the rock was thrown, we need to use the principles of projectile motion. First, we decompose the initial velocity into its horizontal (vx) and vertical (vy) components using trigonometry:

vx = v * cos(θ)

vy = v * sin(θ)

For a velocity of 8.50 m/s and a launch angle of 30°, the horizontal and vertical components are:

vx = 8.50 * cos(30°) = 7.36 m/s

vy = 8.50 * sin(30°) = 4.25 m/s

The horizontal distance travelled d is given by d = vx * t, where t is the time of flight. We can solve for t:

t = d / vx = 19.0 m / 7.36 m/s = 2.58 s

Now we'll use the vertical motion to find the initial height h. The formula for vertical displacement is:

y = vy * t - (1/2) * g * t2

Since the rock hits the ground, vertical displacement y equals the initial height h. Substituting vy, g, and t, we get:

h = y = 4.25 m/s * 2.58 s - (1/2) * 9.800 m/s2 * 2.58 s2

h = 10.97 m - 32.65 m = -21.68 m

Since we're only interested in the magnitude of the height and we know it's an upwards direction, the result is 21.68 m.

This result shows that the rock was thrown from 21.68 meters above the ground level.

If a spaceship has a momentum of 30 000 kg-m/s to the right and a mass of 400 kg what is the magnitude of its velocity

Answers

By definition,
Momentum = Mass * Velocity.

Therefore the velocity, v, is determined by
(30000 kg-m/s) = 400 kg)(v m/s)
30000 = 400v
v = 30000/400 = 75 m/s

Answer:  75 m/s

Final answer:

The magnitude of the spaceship's velocity is calculated using the formula for momentum (p = mv). With a momentum of 30,000 kg-m/s and a mass of 400 kg, the velocity of the spaceship is 75 m/s to the right.

Explanation:

To find the magnitude of the velocity of the spaceship, we use the formula for the momentum, which is the product of mass and velocity: p = mv where p is momentum, m is mass, and v is velocity. Given the momentum (p) as 30,000 kg-m/s and the mass (m) as 400 kg, we can rearrange the equation to solve for velocity (v): v = p / m.

Plugging in the values, the calculation for the velocity (v) will be: v = 30,000 kg-m/s ÷ 400 kg, which equals 75 m/s. Therefore, the magnitude of the spaceship's velocity is 75 m/s to the right.

The rhythmic note that has three beats is called a ________ half note.

Answers

Answer;

Dotted half note

The rhythmic note that has three beats is called a dotted half note.

Explanation;

A dotted note is a music note* of any length with a small dot after its note-head. A dotted half note is equivalent to 1 half note + a quarter note, or 3 beats.  

A dotted quarter note, on the other hand is equivalent to, 1 quarter note + an eighth note: 1 1/2 beats while a dotted eighth note = 1 eighth note + a sixteenth note: 3/4 beat

A dotted half note has the same time value as a dotted half rest. A half rest lasts for two beats while a dotted half rest lasts for 3 beats.

The rhythmic note that has three beats is called a dotted half note.

What is the duration of a note?

The duration of a note is indicated by its shape and the presence of additional symbols.

A dotted half note is one such note that represents a specific duration.

A half note typically receives two beats in common time  which means it is held for the duration of two quarter notes.

However, when a dot is added to the right side of a note, such as a half note, it extends its duration by half.

This means that a dotted half note lasts for three beats instead of the usual two beats of a regular half note.

Thus, the rhythmic note that has three beats is called a dotted half note.

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Which characteristics of a radioisotope make it useful for diagnosing medical problems?

a long half-life and it is taken up by a specific part of the body
a long half-life and it is not taken up by the body
a short half-life and it is taken up by a specific part of the body
a short half-life and it is not taken up by the body

Answers

Answer:

a short half-life and it is taken up by a specific part of the body

Explanation:

Final answer:

Radioisotopes useful for medical diagnostics are those with a short half-life and high uptake in specific body parts, allowing for precise imaging while minimizing radiation exposure to patients.

Explanation:

The characteristics of a radioisotope that make it useful for diagnosing medical problems are that it has a short half-life and is taken up by a specific part of the body. A short half-life ensures that the radioisotope decays quickly, minimizing the patient's exposure to radiation. The uptake by specific body parts allows for targeted imaging, where these radioisotopes can replace a stable element in a compound, now called a radiopharmaceutical, to visualize or diagnose conditions within particular organs or tissues. For example, radioactive iodine is used to monitor thyroid activity, and Technetium-99m, with a half-life of about six hours, is employed for cardiac and other organ imaging due to its ability to be taken up in areas of interest like heart muscle or inflamed regions, thus providing crucial diagnostic information.

Copper metal has a specific heat capacity of 0.385 j/g·°c. calculate the amount of heat required to raise the temperature of 22.8 g of cu from 20.0°c to 875°c.

Answers

use formula : Q= MS∆t
where m= mass , s=sp. heat capacity n ∆t= change in tempr.

Sam is walking through the park. He hears a police car siren moving on the street coming toward him. What happens to the siren sound as it approaches and then passes Sam?

Answers

The sound gets louder as it gets closer and when it passes is gets softer
As it approaches the siren is loud but as it passes the sound is softer and not that loud anymore

What's the difference between the speed and velocity of an object?

Answers

Speed is just how fast the object is moving, while velocity is the speed and direction of the object.

edit* Direction would be something such as North, East, etc.

Answer:

Speed refers to the distance an object travels per unit of time only, whereas velocity also indicates the direction of travel.

Explanation:

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If we say that one object is under free fall motion what do we mean in physics

Answers

It means that the only force that the object is experiencing is gravity. 

About where is our solar system located within the milky way galaxy?

Answers

Solar system is nested nearly 2/3 of the way from the center of the galaxy to the outskirt of the galactic disc.

A 4,000 kg boat floats with one-third of its volume submerged. if two more people get into the boat, each of whom weighs 690 n, what additional volume of water is displaced?

Answers

Final answer:

When two people, each weighing 690N, board the boat, they displace an additional 0.141 cubic meters of water. This is calculated using the principle of buoyancy, which equates the weight of the water displaced to the weight of the people added.

Explanation:

The question given is a classic example of a problem involving Archimedes' principle in Physics. The weight of the water displaced by a floating object is equivalent to the buoyant force acting upon that object. Considering that the two new people carry an additional weight of 2 * 690 N (1380 N in total), the extra volume of water they will displace when entering the boat can be calculated. In essence, the additional displaced water corresponds to the increase in the boat's weight when the two people board.

Since the weight of the water displaced is equivalent to the weight of the people added, and considering that the density of water is roughly 1000 kg/m³, the additional volume displaced (V) can be found by dividing the total weight (W) by the product of gravity's pull (g, roughly 9.8 m/s²) and water's density (ρ).

Therefore, the volume can be calculated as follows:

V = W / (g * ρ)

Substituting the known values, we get V = 1380 N / (9.8 m/s² * 1000 kg/m³) = 0.141 m³.

So, the two people displace an additional volume of 0.141 cubic meters of water when they get into the boat.

Learn more about Buoyancy here:

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What is described by the terms body-centered cubic and face-centered cubic?

Answers

In physical chemistry, the terms body-centered cubic  (BCC) and face-centered cubic (FCC) refer to the cubic crystal system of a solid. Each solid is made up simple building blocks called lattice units. There are different layouts of a lattice unit.

It is better understood using 3-D models shown in the picture. A BCC unit cell has one lattice point in the center, together with eight corner atoms which represents 1/8 of an atom. Therefore, there are 1+ 8(1/8) = 2 atoms in a BCC unit cell. On the other hand, a FCC unit cell is composed of half of an atom in each of its faces and 1/8 of an atom in its corners. Therefore, there are (1/2)6 + (1/8)8 = 4 atoms in a FCC unit cell.

Body-centered cubic and face-centered cubic are types of cubic lattices with specific atom arrangements described in crystal structures.

Body-centered cubic (BCC) and face-centered cubic (FCC) are types of cubic lattices in crystal structures. BCC has atoms at the center of a cube and at the vertices, totaling two atoms per unit cell, while FCC has atoms at the corners and centers of the faces, resulting in four atoms per unit cell.

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When sara instructs new employees on handling customer complaints, she motivates them to respond with patience and a positive attitude. sara has effective ________ skills? Which of the following problems is most likely to exist in a society with an aging population?A) Fewer government workersB) Decreased taxes for younger workersC) Fewer citizens to support elderly workersD) Increased services available for the elderly Who was considered to be a link between the music of the renaissance and the baroque period? How many times greater is 700 than 70 Write 2 expressions that represent the areas of 4 triangles A sample of size 40 is taken from an infinite population whose mean and standard deviation are 68 and 12 respectively. the probability that the sample mean is larger than 70 equals: This is the next one ________ is the practice of taking a significant activity within the organization and contracting that activity out to an independent party. what body system does addison's disease affect? Sarah received $55 for her birthday. She used some of that money to buy 3 shirts priced at m dollars each.How much money does Sarah have left?Write your answer as an expression. Please Help!! Find the measure of angle 2. Image Attached Find the period of the function. y = 5 cos one divided by twox March 21, the 80th day of the year, is the spring equinox. find the number of hours of daylight in fairbanks on this day Lobbyists influence the courts in texas bya. direct lobbying.b. encouraging the governor to fill court vacancies with friendly judicial appointees.c. actively campaigning for candidates who support their cause.d. actively campaigning for candidates who support their cause, and encouraging the governor to fill court vacancies with friendly judicial appointees. What is the value of x to the nearest tenth? midpoint of 4 3i and 2 + 7i please help!!!!! The cheerleaders were vivacious and energetic during the game. What does vivacious mean? able to cheer; adept caused demotivation; boring full of animation; lively unable to cheer; inactive A hispanic college student from the southwest u.s. arrives in college to find that her roommate is a jewish woman from new york. as they get to know one another they are able to overcome their initial prejudices and grow to appreciate each other's strengths and talents. this scenario is an example of the ________. QUESTION 6 All of the following are food except: A.Las manzanas B.El arroz C.La pia D.El tenedor An electronic device that previously sold for $21 has been reduced to 17.43. the price reduction, rounded to the nearest whole percent is Steam Workshop Downloader