Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Will and his good buddy Owen are both mechanics at a shop that does oil changes. They are in a friendly competition to see who can complete the most oil changes in one day. Will has already finished 4 oil changes today, and can complete more at a rate of 2 oil changes per hour. Owen just came on shift, and can finish 3 oil changes every hour. Sometime during the day, the friends will be tied, with the same number of oil changes completed. How many oil changes will Will and Owen each have done? How long will that take?

Answers

Answer 1

To solve this problem, we can set up a system of equations to represent the situation. Let W be the number of oil changes completed by Will, and let O be the number of oil changes completed by Owen. Since Will has completed 4 oil changes today and can complete 2 oil changes per hour, we can represent his number of oil changes as W = 4 + 2t, where t is the number of hours he has worked. Similarly, since Owen can complete 3 oil changes per hour, we can represent his number of oil changes as O = 3t.

Since the two mechanics are tied at some point during the day, we can set the two equations equal to each other and solve for t:

W = 4 + 2t

O = 3t

4 + 2t = 3t

4 = t

Therefore, after 4 hours, Will and Owen will have completed the same number of oil changes. At that point, Will will have completed 4 + 2 * 4 = 12 oil changes, and Owen will have completed 3 * 4 = 12 oil changes. Since they are working at the same rate, they will continue to complete the same number of oil changes per hour, so they will both have completed the same total number of oil changes at the end of the day.


Related Questions

Double filament bulbs can be used as the lone bulb in the stoplight circuit, taillight circuit, and the turn signal circuit.
True

False

Answers

True , Double filament bulbs can be utilized as the only bulb in stoplight, taillight, and turn signal circuits, which proves the given statement.

What is meant by double filament bulb?A halogen bulb having two light filaments arranged side by side is what is known as a dual filament bulb. Your current bulb probably has two filaments if your car utilizes a single bulb for both high and low beams.To convert this type of halogen bulb to a HID, you must first understand dual filament halogen lights (or LED).Dual filament bulbs like the 3157 are included in dual purpose lights. Each filament can be included into a separate circuit.The circuits for brake and tail lights in vehicles are where dual purpose bulbs are most frequently used. In automobiles like the PT Cruiser, the same bulb socket serves as both the brake and taillights.

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In 150 words or more describe at least five activities that civil engineers are engaged in and explain how each activity can be related to the four major types of construction.

Answers

In both the public and commercial sectors, civil engineers conceptualize, design, build, supervise, run, and maintain infrastructure projects.

What do civil engineers do on a daily basis?A typical day for a civil engineer is applying design and construction knowledge to a naturally occurring or artificial environment.In both the public and commercial sectors, civil engineers conceptualize, design, build, supervise, run, and maintain infrastructure projects and systems, such as highways, buildings, airports, tunnels, dams, bridges, and water supply and sewage treatment systems.There is no room for underestimating or understating the importance of civil engineers on a construction site. They provide tasks including inspection, planning, leadership, crew management, progress monitoring, reporting, communication, and turnover that are crucial for a construction project to be successful.    

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Technician A states that if amperage increases and
voltage stays the same, the power will increase. Technician B states that if voltage goes up, and amperage goes
up, the power will increase. Who is correct?
Select one:
O a. Technician A only
O b. Technician B only
O c. Both Technicians A and B
O d. Neither Technician A nor B

Answers

Answer: i think its c

Explanation:

MIG is resistance or fusion

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Answer: Should be fusion

Explanation:

11. Which of the following is a type of file commonly used in the automotive industry?

A) Square file
B)Warding file
C) Both A and B
D)None of the above

Answers

The option that is type of file commonly used in the automotive industry is "Option C) which is Square files and Warding Files.

What is the definition of the above files?

A square file is a hand tool with a rectangular cross-section and flat edges, used for smoothing or shaping metal or wood. It is often used in the automotive industry for filing and shaping metal parts.

A warding file is also a hand tool, similar in shape to a square file but with a narrow, triangular cross-section.

Note that both square files and warding files are valuable tools for a variety of tasks in the automotive industry, including shaping and smoothing metal parts, filing down rough edges, and shaping keyways and other narrow slots.

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Pick a manufacturing process and conduct research on it. Document your research in the form of a short report outlining the process. Your report should cover the following points:

Answers

Answer:

I have chosen the process of injection molding as the manufacturing process for my research.

Injection molding is a common manufacturing process used to produce a wide range of parts and products, from simple to complex shapes. The process involves injecting a molten material, such as plastic or metal, into a mold cavity. The mold cavity is made up of two halves that are held together by a clamping mechanism.

To begin the injection molding process, the mold halves are first closed and locked into place by the clamping mechanism. The mold is then heated to a specific temperature to ensure that the material being injected can flow freely and fill the mold cavity.

Next, the molten material is injected into the mold cavity through a small opening called a sprue. The material fills the mold cavity and hardens to the shape of the cavity. Once the material has hardened, the mold is opened and the part is ejected.

Injection molding is often used to produce high-volume parts and products with consistent dimensions and quality. It is also a cost-effective method for producing complex shapes and designs. The process is highly automated and can produce parts and products with tight tolerances and smooth surfaces.

One potential disadvantage of injection molding is that it requires the use of expensive mold cavities, which must be custom-made for each part or product being produced. Additionally, the process can only produce parts and products in the shape of the mold cavity, so any changes to the design will require the creation of a new mold.

Overall, injection molding is a widely-used manufacturing process that offers many advantages for the production of high-volume parts and products. Its ability to produce complex shapes and designs, along with its cost-effectiveness and consistency, make it a popular choice in many industries.

As a technician, a simple test to check for excessive engine wear is to take a white paper towel and wipe
the oil from the
on it.

Answers

Crude oil comes in a variety of hues, including filthy yellow, dark brown, and black. It might be a thick substance that resembles oil or tar, or be thin like petrol. Ground crude oil is extracted and processed into a variety of goods, including fuel for use in diesel and petrol vehicles.

What to check for excessive engine wear?

Where an engine experiences the most wear is during starts and short rides. When an engine is cold, the surfaces are under-lubricated, and it takes a few seconds for the oil to fully cover them.

Therefore, As a technician, a quick test to look for excessive engine wear is to rub some oil from a white paper towel onto it. Fuel for use in diesel and petrol vehicles is one of the many products made from ground crude oil after it has been extracted and processed.

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Which of the foll?
Select the best option.

Anchor


Guardrails


Personal fall arrest systems


Safety nets

Answers

If you can't completely eliminate the risk, the safest and most reliable kinds of protection include guardrails, skylight screens, and other passive fall protection measures.

What is the best fall protection system?Although fall arrest systems are more suitable in some applications when personnel are compelled to operate near the leading edge, fall restraint systems are still preferred.If you can't completely eliminate the risk, the safest and most reliable kinds of protection include guardrails, skylight screens, and other passive fall protection measures.We advise operating in restraint if you are unable to prevent a hazard passively (with a railing, skylight screens, etc.).An employee who falls from a working level is stopped by a system known as a "personal fall arrest system."It is made up of an anchorage, connectors, a body belt or harness, a lanyard, a deceleration device, a lifeline, or suitable combinations of these, as well as connectors.

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Find the current and voltage through R₂ and R3

10V
R₁
30
R₂
50
R3
20

R4
50

Answers

The current through R2 is 0.3 A and the voltage across R2 is 15 V. The current through R3 is 0.1 A, and the voltage across R3 is 5 V.

What are current and voltage?

Generally, To find the current through R2 and R3 and the voltage across them, you can use Ohm's law and Kirchhoff's laws.

Ohm's law states that the current through a resistor is directly proportional to the voltage across it, with the proportionality constant being the resistance. Mathematically, this can be written as:

I = V / R

Where I is the current, V is the voltage, and R is the resistance.

Kirchhoff's laws can also be used to solve for the currents and voltages in a circuit. Kirchhoff's current law states that the sum of all the currents entering a node (a point where three or more branches meet) must be equal to the sum of all the currents leaving the node. Kirchhoff's voltage law states that the sum of the voltage drops around a loop must be zero.

Using these laws, you can set up a system of equations to solve for the unknowns in the circuit.

For the given circuit, you can start by labeling the currents and voltages as shown:

I1 = current through R1 I2 = current through R2 I3 = current through R3

V1 = voltage across R1 V2 = voltage across R2 V3 = voltage across R3

Then, you can use Ohm's law to write equations for the voltages across each resistor in terms of the currents and resistances:

V1 = I1 * R1 V2 = I2 * R2 V3 = I3 * R3

You can also use Kirchhoff's current law to write an equation for the current at the top node:

I1 + I2 + I3 = 0

And Kirchhoff's voltage law to write an equation for the voltage around the loop:

V1 + V2 + V3 = 0

Substituting the expressions for V1, V2, and V3 from Ohm's law into the equations from Kirchhoff's laws, you get a system of three equations with three unknowns:

I1 * R1 + I2 * R2 + I3 * R3 = 0 I1 + I2 + I3 = 0

You can then solve this system of equations to find the values of I1, I2, and I3, and then use Ohm's law to find the voltages V1, V2, and V3.

Solving this system of equations, you find that:

I1 = -0.2 A I2 = 0.3 A I3 = 0.1 A

V1 = -6 V V2 = 15 V V3 = 5 V

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Knowledge management systems (KMSs) can make an organization's human capital accessible as they cope with _________________.

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Knowledge management systems (KMSs) can make an organization's human capital accessible as they cope with turnover, rapid change, and downsizing.

What are Knowledge management systems?

Any IT system that stores as well as retrieves knowledge to improve comprehension, teamwork, and process alignment is referred to as a knowledge management system. Knowledge management systems are often used by teams or organisations, but they could also be used to arrange your knowledge base for users or clients.

The three main types of knowledge management are knowledge work systems, corporation knowledge management systems, as well as intelligent techniques.

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If you lift the jig saw out of a cut with the blade running it may

Answers

If a Saber Saw is lifted from a cut while running what will occur? the blade will break, the wood will be marred, the saw will jump as the blade hits the wood.
Pleaseee need brainliest

A steel elevator cable supports a load of 900 kg. The cable has a diameter of 2 cm and an initial length of 24 m. Find the stress and the strain of the cable and the amount it stretches under the load.

Answers

The stress and the strain of the cable and the amount it stretches under the load.

What is stress?

Stress is a natural response to life events that causes physical, emotional, and mental strain. It is the body’s way of responding to any kind of demand or threat. When a person experiences stress, their body releases hormones such as adrenaline and cortisol in order to help them respond to the challenge. This can cause a range of physical and mental effects, including increased heart rate, increased alertness, and a heightened state of awareness. Stress can be both positive and negative. Positive stress can help people stay focused and motivated, while negative stress can lead to feeling overwhelmed and anxious. It is important to find ways to manage stress in order to maintain physical and mental health. This can include healthy lifestyle habits such as regular exercise, social activities, and relaxation techniques like yoga and meditation. Additionally, talking to friends, family, or a mental health professional can help to reduce the impact of stress.

The stress, σ, in a cable is given by the equation:

σ = F/A

where F is the force the cable is supporting and A is the cross-sectional area of the cable. In this case, the force is 900 kg, or 9,000 N, and the cross-sectional area is πr2, where r is the radius of the cable. The radius of a 2 cm diameter cable is 1 cm, so the cross-sectional area is π(0.01)2 = 0.000314 m2.

Therefore, the stress in the cable is 9,000 N/0.000314 m2 = 28,621 N/m2.

The strain, ε, in a cable is given by the equation:

ε = ΔL/L

Where ΔL is the change in the length of the cable and L is the original length. In this case, the original length is 24 m and the amount the cable stretches under the load is ΔL = 900 kg × 9.81 m/s2 × 24 m = 21,216 kg m/s2.

Therefore, the strain in the cable is 21,216 kg m/s2/24 m = 884 kg m/s2.

Finally, the amount the cable stretches under the load is ΔL = 900 kg × 9.81 m/s2 × 24 m = 21,216 kg m/s2.

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