The sum of the two numbers is equal to 70.
Let the first number be x.Let the second number be y.In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).
Translating the word problem into an algebraic expression, we have;
Two numbers differ by 8:
[tex]x-y=8[/tex] ....equation 1.
The product of the two numbers is 713:
[tex]xy=713[/tex] ....equation 2.
To calculate the sum of the two numbers:
First of all, we would solve for each of the unknown variables (x and y).
From eqn. 1, we have:
[tex]x=8+y[/tex] ....equation 3.
Substituting eqn. 3 into eqn. 2, we have:
[tex]y(y+8)=713\\\\y^2+8y=713\\\\y^2+8y-713=0[/tex]
Solving the quadratic equation by factorization, we have:
[tex]y^2-31y +23y-713=0\\\\y(y-31)+23(y-31)=0\\\\(y+23)(y-31)=0[/tex]
y = -23 or 31.
For the value of x, when y = 31:
[tex]x=8+31[/tex]
x = 39
Now, we can calculate the sum of the two numbers:
[tex]x+y=39+31=70[/tex]
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there are 80 students in a school. every student is taking
Answer:
then you are single it every one taken
Consider this reaction: 2h+ + co32- → h2o + co2. Identify each of the following as a product, a reactant, or a coefficient. Co32-: h2o: co2: the 2 in front of h+:.
1. CO₃²¯ is a reactant
2. H₂O is a product
3. CO₂ is a product
4. The 2 in front of H⁺ is a coefficient.
Chemical equation generally comprises of reactants and products.
The reactants are located on the left while the products are located on the right side.The coefficients are numbers written where necessary before each reactants or products in order to balance the chemical reaction.With the above information in mind, we can obtain the answers to the question as follow:
2H⁺ + CO₃²¯ —> H₂O + CO₂
From the above equation, we can conclude as follow:
CO₃²¯ is a reactantH₂O is a product CO₂ is a productThe 2 in front of H⁺ is a coefficient.Learn more about chemical equation:
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The reactant, product and coefficient of the chemical equation are 2H⁺ and CO₃², H₂O and CO₂ and 2 respectively.
The chemical reaction is as follows:
2H⁺ + CO₃²⁻ → H₂O + CO₂
Chemical reaction is the reaction between two or more substances to form a new substance.
The reaction is between an hydrogen ion(cations) and a carbonate ion(anions).
Generally, the reactant of a chemical equation is on the left hand side of the equation while the product is on the right hand side.
The coefficient are in front of the elements or compound involve in the reaction.
Therefore, 2H⁺ and CO₃²⁻ are the reactant of the chemical equation and H₂O and CO₂ are the product . The coefficient is the 2 in front of H⁺ .
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Which of the following is the most accurate qualitative description of the the magnetic field vector b⃗ inside the cylindrical resistor?.
Explanation:
The electric field vector is zero inside the resistor and on its surface
hope helps you
The most accurate qualitative description of the magnetic field vector b⃗ inside the cylindrical resistor is the magnetic field vector is everywhere tangential to circles centered on the axis of the cylinder. The correct option is B.
What is a magnetic field?A magnetic field is a vector field that explains the magnetic influence on moving charges, currents, and magnetic materials. A moving charge in a magnetic field is subjected to a force that is perpendicular to both its own velocity and the magnetic field.
It is a vector field that defines the magnetic influence on moving charges, currents, and magnetic materials.
Therefore, the correct option is B, The magnetic field vector is everywhere tangential to circles centered on the axis of the cylinder.
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The question is incomplete. Your most probably complete question is given below:
The magnetic field vector points radially away from the axis of the cylinder.
The magnetic field vector is everywhere tangential to circles centered on the axis of the cylinder.
The magnetic field vector points inward toward the axis of the cylinder.
The magnetic field vector points along the axis of the cylinder in the direction of the current.
John a team member has completed e0 agile for beginners he wants to contribute to tcs agile vision.
Based on the information given, the thing that should be done by John will be that he should detail his scrum master.
It should be noted that the scrum master or the team lead is important for the coordination of the team members and also ensures the progress of the team.
In this case, since John is a team member, has completed e0 agile for beginners and he wants to contribute to tcs agile vision, he should inform the scrum master. This is important in knowing the next step to take.
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is there something wrong with the friends response to your mother's hospitality brainly
Based on the description that follows how many potential.
The number of potential insider threat indicators is; 0 potential insider threat indicators
The given description is missing and it is;
How many potential insider threat indicators does a person who is married with two children, vacations at the beach every year, is pleasant to work with, but sometimes has poor work quality display?
Insider threat indicators are individuals that posses authorized access to certain encrypted government documents/resources and makes use of those government properties to cause harm to the security of a place or state or country. Now, in our question the married man goes on vacations with his family and as such there is no insider threat indicator because there is no outsider and though the person has poor work quality display, he will not harm his family.Read more about insider threat indicators at;
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How long does the earth take to complete its rotation brainly.
Answer:
since the earth completes on rotation in about 24 hours.
which change of state is shown in the model? condensation boiling sublimation freezing
Answer:Condensation Boiling
Explanation:
Complete the following paragraph about the battles in the pacific theater brainly.
There are different kinds of war. Japan aimed at conquering the small islands in the Pacific Ocean one by one. This strategy of controlling one small island after another is called Island Hopping.
The US is known to have implemented island hopping so as to be able to defeat Japan.The United States was known to have invented a plan called “Island Hopping”. Through which they aimed to have military bases and secure as many small islands in the Pacific.
See full question below
Fill in the blank in this paragraph about the Pacific Theater of World War II.
Japan aimed at conquering the small islands in the Pacific Ocean one by one. This strategy of controlling one small island after another is called _____
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Newton’s law of cooling states that for a cooling substance with initial temperature t0, the temperature t(t) after t minutes can be modeled by the equation t(t)=ts+(t0−ts)e−kt, where ts is the surrounding temperature and k is the substance’s cooling rate. A liquid substance is heated to 80°c. Upon being removed from the heat, it cools to 60°c in 15 min. What is the substance’s cooling rate when the surrounding air temperature is 50°c? round the answer to four decimal places. 0. 0687 0. 0732 0. 0813 0. 872.
The cooling rate of the substance is approximately 0.0732.
According to the statement, the Newton's law of cooling is defined by the following formula:
[tex]T(t) = T_{s} + (T_{o}-T_{s})\cdot e^{-k\cdot t}[/tex] (1)
Where:
[tex]T_{s}[/tex] - Final temperature, in degrees Celsius.[tex]T_{o}[/tex] - Initial temperature, in degrees Celsius.[tex]t[/tex] - Time, in minutes.[tex]k[/tex] - Cooling rate, in [tex]\frac{1}{min}[/tex].[tex]T(t)[/tex] - Current temperature, in degrees Celsius.Please notice that substance reaches thermal equilibrium when [tex]T(t) = T_{s}[/tex], that is when temperature of the substance is equal to the temperature of surrounding air.
If we know that [tex]T_{o} = 80\,^{\circ}C[/tex], [tex]t = 15\,min[/tex], [tex]T_{s} = 50\,^{\circ}C[/tex] and [tex]T(15) = 60\,^{\circ}C[/tex], then the cooling rate of the substance is:
[tex]60 = 50 + (80 - 50)\cdot e^{-15\cdot k}[/tex]
[tex]\frac{60-50}{80-50}= e^{-15\cdot k}[/tex]
[tex]\frac{1}{3} = e^{-15\cdot k}[/tex]
[tex]k = -\frac{1}{15}\cdot \ln \frac{1}{3}[/tex]
[tex]k \approx 0.0732[/tex]
The cooling rate of the substance is approximately 0.0732.
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Answer:
B: 0.0732
Explanation:
I took the test :)
Please select the word from the list that best fits the definition ages 85 and older.
Answer:
Where is the list?????!!!
Answer: Old-Old
Explanation:
7,528 irrational or rational
Answer:7528 is not a rational number
Explanation: because we know it is not a perfect square.
If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)(.
Answer:
x+7=3x+1÷13+22x
x+7=3x+1÷13+22x
x+7=3x+1÷13+22x
Answer:
If (3x2+22x+7)/(x+7)=3x+1 ,then (x+7)=(3x2+22x+7)/(3x+1)
Explanation:
This is because if the first expression was 8 then the 2nd 2 if we divide 8 by 2 we get 4 and to get the 1st number of the equation we have to multiply the answer and the 2nd number of the equation. However if we needed to find the 2nd number, we would do the opposite and divide the 1st number with the answer. This applies to every division equation.
Another example is 7/4=1.75 Lets put what we explained above into action.
7/4=1.75
1.75x4=7
7/1.75=4
I hope you found this answer helpful.
karen performs a transformation on parallelogram abcd
N order to create imagery that appeals to the reader’s senses, an author must make careful word choices. Which words from the poem best create sensory images? she doesn’t dream she is a part of the pond she lives in tied to her by an unbreakable string luminous under the sand.
Answer:
luminous under the sand
Explanation:
I got it right on my Assignment :)
Answer:
d. luminous under the sand
Explanation:
In order to help prevent collisions with motorcycles, one of the hosts of the video recommends thinking of motorcycles as __________.
A lot of accident do happen on the highway. In order to help prevent collisions with motorcycles, one of the hosts of the video recommends thinking of motorcycles as occupying a space the same size as a car.
There are different ways to deal with motorcyclists in traffic so as too avoid collision. When in traffic, one must known that motorcyclist can stop faster or more quickly than cars.
The National Highway Traffic Safety Administration (NHTSA) has found out that motorcyclists are a likely than passengers of a car to die as a result of an accident and as such safety is important.
There are some important steps to reduce one's risk of being involved in a collision with a motorcycle. They are;
Always be on the alert or on point for motorcycles. Make sure to use your turn signals. Try to avoid distractions while driving. Always be careful and also be mindful when entering crossroads and intersections. Do stay at least four car lengths behind motorcycles on the road.
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Which word from the haiku supports gabriel’s analysis? april’s willow-leaves butterfly balances.
Answer:
Hey mate!
Explanation:
A motif is dominant idea. A kigo is a word that is tied to a season. In this haiku, the kigo is April which is specifically tied to Spring. April is also the motif because the dominant idea of the haiku is April.
pls mark me as brainliest!!
Answer:
The answer is simply A
Explanation:
because its correct on EDGE2022
What is the most likely consequence of open pit mining on plant life? a. A dramatic reduction in the variety of plant species b. An increase in the number of plant species c. The complete loss of plant life in the area occupied by the surface mine d. A temporary decrease in plant populations please select the best answer from the choices provided.
The most likely consequence of open pit mining on plant life is a dramatic reduction in the variety of plant species. Open pit mining involves removing large amounts of rock and soil to extract valuable minerals. This process destroys the natural habitat of plants and disrupts the ecological balance.The correct answer is option A.
Here is a step-by-step explanation:
1. Open pit mining involves digging a large hole in the ground to extract minerals such as coal, gold, or copper. This process often requires the removal of trees, vegetation, and topsoil from the area.
2. The removal of vegetation and topsoil disrupts the natural ecosystem, as plants play a vital role in supporting other organisms. They provide food, shelter, and oxygen for animals, insects, and microorganisms.
3. The destruction of plants in the area leads to a loss of habitat for various plant species. Many plants are unable to survive or adapt to the harsh conditions created by open pit mining, such as exposure to sunlight, wind, and erosion.
4. The disturbed soil and exposed rock surfaces are often unable to support the growth of diverse plant species. This results in a reduction in the variety of plants that can grow in the area.
5. Additionally, the mining process may introduce pollutants and contaminants into the soil, water, and air, further damaging plant life.
In summary, open pit mining has a significant negative impact on plant life, resulting in a dramatic reduction in the variety of plant species. The destruction of habitat, disturbance of soil and rock surfaces, and pollution are all contributing factors to this consequence.
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The scatter plot shows how the cooking time for a turkey is related to its weight. Which statement is not supported by the trend in the scatter plot?.
Answer Each additional pound adds about 2 hours of cooking time.
Explanation:
this is the answer
Choose the true statement about dressing in layers.
What role does the house of representative have in the impeachment process brainly.
The house of representative is responsible for bringing charges against an official to remove the person from office.
In impeachment proceedings, the House of Representatives charges an official of the federal government by approving, by simple majority vote, articles of impeachment.
After the House of Representatives sends its articles of impeachment to the Senate, the Senate sits as a High Court of Impeachment to consider evidence, hear witnesses, and vote to acquit or convict the impeached official.
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Answer:It brings charges against an official to remove the person from office.
Explanation:
edge
Translate: i am hungry. Yo soy hambre. Yo estoy hambre. Yo tengo hambre. Yo es hambre.
Happy Holidays!
Yo tengo hambre.
Yo = I
Tengo = have (I form)
Hambre = hunger
Even though this literally translates to "I have hunger", this expression is used to say the equivalent "I am hungry".
The correct translation of "I am hungry" in Spanish is: "Yo tengo hambre."
Thus, option (c) is correct.
"Yo soy hambre" is not the correct translation.
In Spanish, "soy" means "am" and "hambre" means "hungry," but they are not used together in this context to mean "I am hungry."
"Yo estoy hambre" is also not the correct translation.
"Estoy" means "am" and "hambre" means "hungry."
However, in Spanish, the correct way to express hunger is by using the phrase "tener hambre."
"Yo tengo hambre" is the correct translation.
"Tengo" means "I have," and "hambre" means "hunger."
So, "Yo tengo hambre" translates directly to "I have hunger," which is the equivalent of "I am hungry" in English.
The phrase "Yo es hambre" is not grammatically correct in Spanish.
Thus, option (c) is correct.
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What is a good way to make your podcast more interesting brainly.
Answer:
Add music or sound affects
Explanation:
I-ready
Which scenario best describes a person who is likely to be vulnerable to trafficking because of drug or alcohol dependence?.
Physics sucks it’s so confusing
Answer:
You should've put this under physics.
All of the following are examples of physical changes except.
Answer:
Thermal conductivity is not a path function.
A survey participant is randomly selected. Let f be the event that the participant’s first motor vehicle had four cylinders and let u be the event that the participant’s first motor vehicle was an suv. What is the value of p(fc and u)?.
The value of P(fc and u) is 0.09
From the complete question, we have the following highlights:
A total of 200 participants were surveyed.18 of the survey participant's first motor vehicle had four cylinders and the participant’s first motor vehicle was an SUV.These mean that;
[tex]n(fc\ and\ u) = 18[/tex]
[tex]n =200[/tex]
So, the value of P(fc and u) is calculated using:
[tex]P(fc\ and\ u) =\frac{n(fc\ and\ u)}{n}[/tex]
This gives
[tex]P(fc\ and\ u) =\frac{18}{200}[/tex]
Divide 118 by 200
[tex]P(fc\ and\ u) =0.09[/tex]
Hence, the value of P(fc and u) is 0.09
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Characteristics of bipolar disorder typically include brainly.
What should a food worker do to prevent a physical hazard.
Answer:
Wash fruits and vegetables carefully, look closely at the foods you prepare, keep the food preparation area free of things that can fall into the food
Explanation:
Western civilization includes which of the following countries? peru mexico south africa united states of america india russia brazil canada france china.
Answer: Peru, Mexico, United states of America, Brazil, and Canada.
Explanation:
They are all on the west
Western civilization includes the following list of countries:
PeruMexicoUnited States of AmericaBrazilCanadaFranceWestern civilization is also referred to as Western culture and it can be defined as a terminology that is used to describe the various cultural heritage of a country in the Western world. Thus, Western civilization is a cultural heritage that comprises the following:
Political systemsArtifactsSocial normsEthical valuesTraditional customsBelief systems TechnologiesIn this context, countries that are under Western civilization includes the following:
PeruMexicoUnited States of AmericaBrazilCanadaFranceRead more on Western civilization here: https://brainly.com/question/2997563