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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Match the following regulations to their appropriate categories.
Answer:
Where is the picture? Do we need a picture with this?
What did the second great awakening do? check all of the boxes that apply.
Answer:
encouraged people to live better lives
led people to try to improve society
led to a more extreme abolition movement Explanation: hoped this help
The release train engineer is a servant leader who displays which two actions or behaviors? (choose two. ).
The release train engineer is a servant leader who displays two actions or
behaviors which are:
Listen and supports teams in problem identification and decision-makingLeads by exampleThe release train engineer is a servant leader which ensures facilitation
and continuous development of program level processes. This is done by
listening, supporting in decision making and identification of problems
related to the field.
He/she also acts as a coach and reference point for Agile Release Train
(ART) and does it by leading by example.
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Danyon just finished a project. She wants to thank all the team members and collect their feedback on the overall project. What is the best approach to accomplish this?.
The best approach for Danyon to thank all the team members and obtain feedback on the overall project is to: hold a review session.
A review session can be defined as a teamwork meeting that is organized to host all of the team members involved in the planning and execution of a project, so as to achieve the following:
Formally discuss about the project by sharing ideas and opinions.Obtain feedback on the overall success of the project.Make a vote of thanks.In this context, holding a review session is the best approach for Danyon to thank all the team members and obtain feedback on the overall project.
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Write a paragraph. Include all your work from steps one through five below for your teacher to see. Choose the topic that you wish to develop. Select a topic that is suitable and narrow enough for a one-paragraph development. List and number the ideas you will use to support and develop the main idea. Arrange and re-number the supporting and developing ideas in the most logical order. State the method which you are using to develop the main idea. Write the topic sentence, and a good clinching sentence. Write a coherent, unified paragraph based on steps one through four.
Answer:
India was the best of it has many and more it was consists of moving moving moving and going towards the world I am coming and its its kind a good and ok bye
Ronnie wants to lower his utility bills to save money on his monthly expenses. He discovers that if he replaces his water heater with a solar water heater his monthly utility bills can decrease around 50% to 85%. At the end of the year ronnie wants to calculate the percentage his new solar water heater saved him in the utility bills compared to last year. Ronnie's total utility expenses for this year are $862. 40 and last year the utility expenses were $1935. 67. What percentage did ronnie save on his utlility bills by switching to a solar water heater?.
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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The mother of a 5-year-old informs you that her daughter cheats when playing board games. What is the best response?.
Answer: Explain that this is developmentally normal until the child is old enough tounderstand complex game rules.
Explanation:
Which of the following is a complex sentence weegy.
Answer:
as expected she showed up late
Explanation:
The complex sentence is As I expected, she showed up late. Thus, option (A) is correct.
A complex sentence consists of an independent clause expressing a complete idea and one or more dependent clauses relying on another clause. Typically, a subordinating conjunction (like "because," "if," "as," "after") links these clauses.
Therefore, among the given options, the only complex sentence is "As I expected, she showed up late," containing an independent clause ("she showed up late"), a dependent clause ("As I expected"), and the subordinating conjunction "As," which is common in complex sentences.
Thus, option (A) is correct.
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The question attached seems to be incomplete, the complete question is
Which of the following is a complex sentence?
A. As I expected, she showed up late.
B. Mark wanted blueberry pie and vanilla ice cream.
C. Sue gave Jim a new racket, and he left for the tennis courts.
D. Eileen bought pants but not a new jacket.
Which of the following statements is not true about owners' equity?.
Sulfur tetrafluoride, sf4, reacts slowly with oxygen, o2, to form sulfur tetrafluoride monoxide, osf4, according to the following unbalanced reaction: sf4(g)+o2(g)→osf4(g)when the equation is balanced, what are the coefficients?.
Let a, b, c be the coefficients of the balanced reaction
a SF₄ + b O₂ ⇒ c OSF₄
The atom counts for each element among the reactants should be the same as with the products:
• S : a = c
• F : 4a = 4c
• O : 2b = c
If b = 1, it follows that a = c = 2. So the balanced reaction is
2 SF₄ + 1 O₂ ⇒ 2 OSF₄
According to the graph, approximately how much of the us population used the internet in 2006? less than 20% about 40% about 70% more than 80%.
Answer:70%
Explanation:
C
“Finding information” tops the list of the most common reasons individuals use the internet, with nearly six in ten (58.4%) people globally citing it as such. Keeping in touch with friends and family comes in second place with 54.2 percent. Thus, option C is correct.
What US population used the internet in 2006?Despite these advancements, the Report determines that 19 million Americans, or 6% of the population, still do not have access to fixed broadband service at threshold speeds. 14.5 million individuals, or close to one-fourth of the population, do not have access to this service in rural areas.
In America as a whole, 42% of adults had access to high-speed internet at home as of March 2006. Thirty percent of all adults accessed high-speed internet at home in March 2005. A rise in internet penetration from 66% to 73% over the previous year has contributed to this development in broadband adoption.
Therefore, According to the graph, approximately 70% US population used the internet in 2006.
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Which student’s story is more interesting? i saw a snake. At first i thought it was an everyday garter snake. But after i looked at it for a little while, i changed my mind and decided that it was probably a poisonous snake because it had a rattle on its tail. That happened one morning when i was walking. I was hiking on a crisp, clear autumn morning when a snake came slithering toward me. "it’s probably just a garter snake," i thought. As the snake slithered nearer, i spotted a rattle at the tip of its tail. I jumped back with a gasp. The snake was poisonous!.
There are different aspects to a story. The factors that makes this story interesting is that;
The writing style is exciting, and the author uses precise words.The passage includes sensory details, such as what the narrator saw and heard.The passage makes it easy to decide how the narrator felt during the event. The event is told in a reasonable sequence.There are different factors that can makes a story to be very interesting. Note that a good story is centered around something that the audience do decides if it is interesting or vital.
A great story is known to comprise of the use of storytelling to make important news more interesting and it is known to be more than just to inform but to also adds value to the related topic.
See full question below.
What makes this story interesting? Check all of the boxes that apply.
The writing style is exciting, and the author uses precise words.
I was hiking on a crisp, clear autumn morning when a snake came slithering toward me. "It's probably just a garter Snake," I thought. As the snake slithered nearer, I spotted a rattle b at the tip of its tail. I jumped back with a gasp. The Snake was poisonous!
The passage includes sensory details, such as what the narrator saw and heard. The passage makes it easy to decide how the narrator felt during the event. The event is told in a reasonable sequence.
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Answer:
I was hiking on a crisp, clear autumn morning when a snake came slithering toward me. "It's probably just a garter Snake," I thought. As the snake slithered nearer, I spotted a rattle b at the tip of its tail. I jumped back with a gasp. The Snake was poisonous!
Explanation: just answered it
Complete the equation of the line through (-9 7) and (-6 -3).
Figure p12. 4 shows three uniform objects: a rod, a right triangle, and a square. Their masses and their coordinates in meters are given. Determine the center of gravity for the three-object system.
The center of gravity for the three-objects system is approximately located
at their center of mass.
The center of gravity of the three-object system is approximately (2.58, 4.75)Reasons:
The coordinates of the vertices of the objects and their masses are;
The rod:
Vertices, (2, 7), and (9, 7)
Mass, m₁ = 6.00 kg.
The right triangle;
Vertices; (4, 1), (8, 5), (8, 1)
Mass, m₂ = 3.00 kg.
The square
Vertices; (-5, 5), (-2, 5), (-2, 2), (-5, 2)
Mass, m₃ = 5.00 kg
Required;
The center of gravity for the three-object system.
Solution:
The center of gravity is given by the formula;
[tex]\displaystyle X_c =\mathbf{ \frac{X_{c1} \times m_1 +X_{c2} \times m_2 +X_{c3} \times m_3 }{m_1 + m_2 + m_3}}[/tex]
[tex]\displaystyle Y_c =\mathbf{ \frac{Y_{c1} \times m_1 +Y_{c2} \times m_2 +Y_{c3} \times m_3 }{m_1 + m_2 + m_3}}[/tex]
Where;
[tex]X_{c1}[/tex] = The x-coordinates of the center of the rod = 5.5
[tex]X_{c2}[/tex] = The x-coordinate of the centroid of the triangle [tex]\displaystyle = \frac{4 + 8 + 8}{3} = \frac{20}{3}[/tex]
[tex]X_{c3}[/tex] = The x-coordinate of the centroid of the square = (-5 - (-2)) ÷ 2 - 2 = -3.5
[tex]Y_{c1}[/tex] = The y-coordinate of the center of the rod = 7
[tex]\mathbf{ Y_{c2}}[/tex] = The y-coordinate of the centroid of the triangle [tex]\displaystyle = \frac{7}{3}[/tex]
[tex]Y_{c3}[/tex] = The y-coordinate of the centroid of the square = 3.5
Therefore;
[tex]\displaystyle X_c = \mathbf{ \frac{5.5 \times 6 +\frac{20}{3} \times 3 +(-3.5) \times 5 }{6+ 3 + 5}} \approx 2.58[/tex]
[tex]\displaystyle Y_c = \mathbf{ \frac{7 \times 6 +\frac{7}{3} \times 3 +3.5 \times 5 }{6+ 3 + 5}} = 4.75[/tex]
The center of gravity for the three-object system is ([tex]X_c[/tex], [tex]Y_c[/tex]) ≈ (2.58, 4.75)
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Which of the following holiday does not occur in december?.
Explanation:
labour day,madaraka day,mashujaa day... does not occur in dece
Which of these statements describe americans’ attitudes? check all of the boxes that apply.
The statements that correctly describe the attitudes of Americans are;
2) Americans hoped to enter a time of prosperity.
3) Many Americans supported less regulation in business.
The missing options are;
1) Americans were eager to return to progressivism.
2) Americans hoped to enter a time of prosperity.
3) Many Americans supported less regulation in business.
4) Americans became more interested in social issues.
Let us analyze each of the options;
Statement 1: This statement is not true because Americans didn't want to return to progressivism due to the fact it was limited to only white Americans. Statement 2: This statement is true because that has always been the hallmark of every true American. Statement 3: This statement is true because the less regulation of business the more they had freedom to expand and make better profit. Statement 4; This statement is not true because of their experiences under progressivism.Read more about US history at; https://brainly.com/question/15356490
which of the following most closely describes one way the author of "the choice" transforms "the road not taken"? "the choice" drew on the plot from "the road not taken" but did not reflect the same ideals. "the choice" followed the same basic plot as "the road not taken" except that bernadette made the opposite decision that the traveler made in the poem. "the choice" modernized "the road not taken" using the metaphorical situation of a young girl "traveling" though life instead of a real traveler on an actual journey. "the choice" and "the road not taken" both dealt with nature, but that was the only real similarity after the transformation. the story's author changed the poem's characters, plot, and theme.
The lines of poems are known to pass different messages. The statement that most closely describes one way the author of "the choice" is that "The Choice" modernized "The Road Not Taken" using the metaphorical situation of a young girl "travel.
The poet in the poem seek to explore one road and later come back and explore the other ones but it was impossible. The choice of roads in the poem shows the preference that one has to chose in life. The preference appear to be very attractive.
The poet who undergo the road which was less travelled did regretted his decision. Possibilities exist for any of the road taken. The Choice" is known to be a new version of "The Road Not Taken" s they use some key words to describe the situation of a young girl that travel.
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Oil refining is an example of:
Construction Production
Extractive Production
Domestic Production
Traditional Production
A student places a set of books with a force of 25 n on a lab table with a force of 150 n. What is the normal force pushing upward on the legs of the table?.
The normal force acting on the legs of the table is 175 N
The weight of the books is the force exerted by the books on the table, and it is given as:
[tex]W =25N[/tex]
The force exerted by the table is given as:
[tex]F = 150N[/tex]
The parameters above imply that:
The table and the books are stationary,The force exerted by both act in the same downward direction.So, the normal force acting on the legs of the table is calculated as follows:
[tex]F_N =F +W[/tex]
Substitute known values
[tex]F_N = 150N + 25N[/tex]
[tex]F_N = 175N[/tex]
Hence, the normal force acting on the legs of the table is 175 N
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Based on the passage, what type of literature is beowulf? which of these lines from the poem describes beowulf?.
Based on the passage, the lines from the poem describes beowulf is mighty and noble.
According to the question, we are to discuss the poem beowulf and the line that describes this poem.
As a result of this we can see that this poem Gredel which was evil moster was defeated by King of denmark and a beowulf.Therefore, lines from the poem that describes beowulf is mighty and noble.
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Which sentence would improve this conclusion? every town should consider adding bicycle lanes, because it is a great idea. Organizing safety classes for drivers and cyclists will ensure that everyone knows the rules. Do not listen to negative people who complain about anything new. It is true that some people might get injured, but even walking can be dangerous.
Answer:
B: Organizing safety classes for drivers and cyclists will ensure that everyone knows the rules.
Explanation:
I got it on Ed, hope it helped! And sorry if I'm a bit late!
A carpenter cut three 4ft 6in shelves from a 14ft board. How long a piece was left over?.
Answer:
10ft and 6in
Explanation:
hope this helps
Según el 1 of 1, la función (show) comienza a las 8 de la noche.
According to the context of the sentence, for it to be complete and make sense we must add the missing word as it follows:
Según el cártel, la función comienza a las 8 de la noche.Translation: According to the poster, the show begins at 8 at night.A poster refers to a sheet that presents some type of information that is intended to be disseminated.
It captures the attention of the viewer, forcing him to perceive the message, his function to announce an event and disseminate information.In the sentence, the ''cártel'' complies with informing the spectators of the start time of the show.Therefore, we can conclude that the correct missing word in the sentence is cártel (post), which is planned to give certain information about the show.
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The figure below is reflected over x-axis and then translated down 3 units. What are the coordinates of the image of point X after these transformations?
Answer:
(-7, 5)
The reflection moves it to 8 on the y then its moved down. the x value never changes.
whats the answer to the question i have provided
Answer:
there's no question? sorry
just doing this to finish my account
Answer:
Ppbags where here remember the name
Which term refers to a secure systems ability to protect against.
Answer:
Hey mate!
Explanation:
Integrity refers to the protection of information from unauthorized modification or destruction. Ensuring integrity is ensuring that information and information systems are accurate, complete and uncorrupted.
pls mark me as brainliest!!
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. Y = x squared + x + 6 a. (0. 5, -5. 75) c. (-0. 5, 6) b. (-0. 5, 5. 75) d. (0. 5, 5. 75).
Two glucose solutions of different concentrations are placed next to each other but are separated by a semi permeable membrane. Which of the following will occur?.
There are different kinds of Chemical reaction. What will occur is that a lot of water molecules will move from x to y decreasing the concentration gradient of sucrose.
The solution above (Image inserted) will tend to move down the concentration gradient. That is, the water molecules will move done from the area of more water to area of less water.Osmosis is known to be a chemical situation, where solvent molecules often water move or diffuse via a semipermeable membranes.
This is usually done in regions of low solute concentration to regions of high solute concentration until both sides are equal in concentration of solutes. The solution is said to be water moving from a hypotonic solution to the hypertonic solution.
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