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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a player pays $15 to play a game in which a chip is randomly selected from a bag of chips. the bag contains 10 red chips, 4 blue chips, and 6 yellow chips. the player wins $5 if a red chip is selected, $10 if a blue chip is selected, and $20 if a yellow chip is selected. let the random variable x represent the amount won from the selection of the chip, and let the random variable w represent the total amount won, where w=x−15. what is the mean of w ?
The mean of w which represents the total amount won where w = x + 15 is;
w = -$4.5
We are given;
Winnings if a red chip is selected; x₁ = $5.
Now, there are 10 red chips in a bag of 20 chips.
Thus, the probability of this outcome is:
p₁ = 10/20
p₁ = 1/2
Winnings if a blue chip is selected; x₂ = $10
Now, there are 4 blue chips in a bag of 20 chips.
Thus, the probability of this outcome is:
p₂ = 4/20
p₂ = 1/5
Winnings if a yellow chip is selected; x₃ = $20
Now, there are 6 blue chips in a bag of 20 chips.
Thus, the probability of this outcome is:
p₃ = 6/20
p₃ = 3/10
Finally, the expected value is:
E(X) = 5(¹/₂) + 10(¹/₅) + 20(³/₁₀)
E(X) = $10.5
We are told that w = x - 15
where x is the amount won from selection of chip which is E(X) = $10.5
Thus;
w = 10.5 - 15
w = -$4.5
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Which sentence from Mark Twain's essay "Advice to Youth" conveys Twain's opinion about why one’s youth is the right time to learn good values?
Being told I would be expected to talk here, I inquired what sort of talk I ought to make. They said it should be something suitable to youth--something didactic, instructive, or something in the nature of good advice. Very well. I have a few things in my mind which I have often longed to say for the instruction of the young; for it is in one’s tender early years that such things will best take root and be most enduring and most valuable. First, then. I will say to you my young friends--and I say it beseechingly, urgingly-- Always obey your parents, when they are present. This is the best policy in the long run, because if you don't, they will make you. Most parents think they know better than you do, and you can generally make more by humoring that superstition than you can by acting on your own better judgment.
Be respectful to your superiors, if you have any, also to strangers, and sometimes to others. If a person offend you, and you are in doubt as to whether it was intentional or not, do not resort to extreme measures; simply watch your chance and hit him with a brick. That will be sufficient. If you shall find that he had not intended any offense, come out frankly and confess yourself in the wrong when you struck him; acknowledge it like a man and say you didn't mean to. Yes, always avoid violence; in this age of charity and kindliness, the time has gone by for such things. Leave dynamite to the low and unrefined.
Answer:
I have a few things in my mind which I have often longed to say for the instruction of the young; for it is in one’s tender early years that such things will best take root and be most enduring and most valuable.
Explanation:
In this sentence, Twain explains why he believes that youth is a good time to learn moral values. After explaining that he has some things to say to children, he argues that it is during these years that such moral knowledge starts to take root in a person. He also believes that the things we learn during these years are the most enduring and most valuable in our future lives.
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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When faxing sensitive compartmented information (sci), what actions should you take?.
When faxing sensitive compartmented information (sci), the actions you should take are;
Make sure the SCI's are encrypted.Only those with the necessary security clearance will have the decryption keys to unlock them. Sensitive Compartmented Information(SCI) is a classified information that is derived from sensitive intelligence sources, methods, or analytical processes.SCI is always required to be handled within formal access control systems that are established by the US Director of Central Intelligence.
SCI's are usually very sensitive information as most of them contain information of national security interest and as such should be kept hidden and only open to those meant to read it. Thus, when SCI's are to be faxed, the action to be taken is that they should be encrypted in such a way that only those with the necessary security clearance will have the decryption keys to unlock them.Read more about Sensitive Compartmented Information(SCI) at; https://brainly.com/question/25194168
Which ion/molecule in the saliva allows you to taste sugar as sweet weegy.
Saliva is made up of 99% water, the water molecules helps dissolve food and allows to perceive flavors through the sense of taste.
The food that is introduced into the mouth is dissolved in the saliva, penetrating the taste buds through the pores in the tongue.
The aqueous content where the water molecules represent more than 99% allow the taste receptors to be reached and there is ion exchange for the flavor to be captured.The individual molecules to perceive the sweet taste are released after moistening the food with saliva, this function is determined by the water.Therefore, we can conclude that saliva acts on the taste function since the water content can determine the level of dilution of basic flavors such as sweet.
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You are performing an experiment in a lab to attempt a new method of producing pure elements from compounds. The only problem is that you do not know what element will form. By your previous calculations you know that you will have 6. 3 moles of product. When it is complete, you weigh it and determine you have 604. 4 grams. What element have you produced?.
Answer:
molybdenum (Mo)
Explanation:
For this question you need to understand what the concept of molar mass is.
Molar mass is the exact mass by which you will obtain a mol of that specific element. For example the molar mass of H2O is 18g/mol, so it means that in 18 grams of water, you exactly have 6.022x10²³ molecules of water or one mole.
So here you know the number of moles you produce and its conversion to grams. The problem is basically stating that in 604.4 grams of x element you have 6.3 moles of that element.
All you have to do is divide the number of grams by the number of moles:
604.4grams/6.3 moles=95.94 g/moles,
You obtained the molar mass of that X element, and in fact the molar mass corresponds the molecular mass of all elements, that is an information provided by the periodic table. So all you have to do is look for the element with a molecular mass of 95.94 uma or a very close approximate.
Molybdenum has a molecular mass of 95.95. So that's the answer.
you are a tomato farmer whose crops are threatened by a persistent species of beetle
Answer:
Hi! what is your question?
Harmony of the design is ensured by _______________ design principle.
The design principle that ensures Harmony of the design is; Theme
Harmony of the design is simply defined as the concept whereby all the elements and principles of design work together to display visually pleasing garment.
Now according to principles of design, this concept of harmony of design is usually ensured by the theme design principle. This is because the theme design principle is the only one that ensures a display of visually pleasing garment.
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Jason is studying a new plant food for a science experiment. The plant is 14 cm tall when the experiment begins and grows at a rate of 1. 5 cm per week. What will the height of the plant be after 5 weeks?.
Answer:
2
Explanation:
Because if you add 1 to 8 you get 9 then subtract 9 by 7 then and your answer is 2
which of the following suggestions would be most beneficial for a reader in order to gain a better understanding of the information presented in this excerpt? skim encyclopedias to learn star names and locations. review scientific journals explaining the various types of clouds. read a variety of sources about the formation of black holes. search web pages focused on personal encounters with black holes.
Answer:
C. Read a variety of sources about the formation of black holes
hope this helps!
Answer:
C. Read a variety of sources about the formation of black holes
Explanation:
Just did on Edge 22
If you are working on the part of 5-15 minutes, time-stamping (every 30 seconds) should start at.
A timestamp is an indication (also called a marker) which tells us at what time / when the relevant text was spoken. They are represented in the format [HH:MM:SS]; where HH are hours, MM are minutes, and SS are seconds - from the beginning of the audio or video file.
There are different kinds of timestamps as below:
1. Periodic timestamps - Periodic timestamps appear at a consistent frequency. They can appear for every 15 seconds, 30 seconds, 1 minute, or 2 minutes.
2. Paragraph timestamps
3. Sentence timestamps
4. Speaker timestamps
Time stamping format used while transcribing audio files is:
[00:00:00]
where [hour:minute:second]
so 5th minute is [00:05:00]
If the 5 - 15 minute part of an audio has to be transcribed stamping should be started at [00:05:00]
If a client requests time stamping every 30 seconds the next timestamp would be [00:05:30]
What traditional values shape the women’s attitudes toward nene? check all that apply. The women befriend nene because they value nnaemeka. Nigerian fathers encourage their children to challenge tradition. Nene’s value to them soars because of her homemaking skills. The women of nnaemeka’s tribe are indifferent toward nene. The women of nnaemeka’s tribe do not accept nene because she is an outsider.
Answer: Nene's value to them soars because of her homemaking skills.
The women of Nnaemeka's tribe treat Nene differently because she is an outsider.
Explanation:
Took the test
Answer:
Nene's value to them soars because of her homemaking skills.
The women of Nnaemeka's tribe treat Nene differently because she is an outsider.
Explanation:
took test
Write chemical formulas for the compounds in each box.
Answer:
You said compounds in each box. I think we need a picture???
A syringe contains 0. 65 moles of he gas that occupy 850. 0 ml. What volume (in l) of gas will the syringe hold if 0. 35 moles of ne is added?.
Answer:
im sorry
Explanation:
(not really we will never meet in person)
At a football game, the ratio of filled seats to empty seats was 7 to 3. The capacity of the stadium is 70,580. How many seats were filled for the game?.
The number of seats in the stadium that were filled for the game is equal to 49,406 seats.
Let the filled seats be F.Let the empty seats be E.Given the following data:
Stadium capacity = 70,580.Ratio of F to E = 7:3Total ratio= 7 + 3 = 10To determine the number of seats in the stadium that were filled for the game:
Mathematically, the number of filled seats in the stadium is given by this expression:
[tex]F = \frac{7}{10} \times 70580\\\\F=0.7 \times 70580[/tex]
F = 49,406 seats.
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Which of the following describes ladue's feelings about his actions?.
Answer: He had no issue admitting his plans to the police, which suggested that he didn't feel remorse.
Explanation:
He had no issue admitting his plans to the police, which suggested that he didn't feel remorse, describing Ladue's feelings about his action.
What is Feeling?The manner in which a person feels an emotion. The sentiment is something you experience privately in your own head that other people can infer from your actions.
Being able to comprehend emotions is a crucial aspect of the human experience. Why? because our perception of our entire existence is affected by our sentiments. We may understand what is occurring on the inside by using our feelings. They serve as the body's means of expressing how we are interacting with the outside world.
Many of us have learned to hide and deny our innate emotions since we were young. We've frequently been taught that the emotions we feel are unpleasant or make us bad.
Hence, He had no issue admitting his plans to the police, which suggested that he didn't feel remorse, describing Ladue's feelings about his action.
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Which statement describes the 3d, 4s, and 4p orbitals of arsenic (as) based on its electronic configuration and position in the periodic table?.
The statement that describes the 3d, 4s, and 4p orbitals of arsenic (as) based on its electronic configuration and position in the periodic table is; The 3d and 4s orbitals are completely filled, and the 4p orbital is partially filled.
The electronic configuration of arsenic is given as; 1s² 2s² 2p^(6) 3s² 3p^(6) 4s² 3d^(10) 4p³.
Now we can see that in that electronic configuration the orbitals are, s, p and D.
Now, the maximum electrons for each of the 3 orbitals are;
Maximum electrons for d orbital = 10 electrons
Maximum electrons for s orbital = 2 electrons
Maximum electrons for p orbital = 6 electrons.
Now, when we compare the maximum number of electrons for each orbital to the ones in electron configuration of arsenic, it is clear from the last 3 orbitals that the 3d and 4s orbitals are completely filled while the 4p orbital is half filled or partially filled.
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What is the most appropriate unit for the length of a pencil.
Answer:
inches
Explanation:
because centimeters is to small and inches is easier to count
Jose and zola want to purchase their first home. Jose makes $23. 50 an hour and works 40 hours per week. Zola makes $21. 50 an hour and works 40 hours of regular time and for the last three years, has also worked on average 5 hours of overtime a week. They have two car payments totaling $500 a month and one credit card with a minimum payment of $50 a month. What is their combined gross monthly income?.
Based on the computation done, the value of the combined gross monthly income is $7630.
Since there are four weeks in a month, Joe's income will be:
= 23.50 × 40 × 4
= 3760
The value of Zola's income will be:
= 21.50 × (40 + 5) × 4
= 21.50 × 45 × 4
= 3870
Therefore, the combined gross monthly income will be;
= $3760 + $3870
= $7630
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Lorena and julio purchased a home for $205,950. Their loan amount was $164,760, and the assessed value is now $200,500. Their tax rate is 1. 5%. How much will their monthly taxes be?.
What is the atomic mass of the element in period 2 group 13.
Answer:
thire is no grup 13 in modern periodic table
What are some ways that drugs and alcohol can impair drivers? check all that apply.
Which of the following about persuasive speaking is not true.
Answer:
Please, provide with options.
Explanation:
Thank you!!
Which orbital notation correctly represents a noble gas in the ground state?.
It should be noted that the orbital notation correctly represents a noble gas in the ground state is 2,8 and also [Ar]4s1
Noble gas can be regarded as one of the chemical elements in the periodic table.
Some of the elements in this group are;
ArgonHeliumTherefore, the orbital notation correctly represents a noble gas in the ground state is 2,8
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Earth's internal heat source concept map.
It should be noted that the internal heat source of the Earth provides the energy that the Earth needs.
The flow of the internal heat of the Earth is typically outward towards the surface of the Earth.
The sources of heat in the Earth include the heat gotten when the planet forms, frictional heating, and the heat that is gotten from the decay of the elements that are radioactive.
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What's the correct entry to record a tool purchase of $500?.
The correct entry to record a tool purchase of $500 is Debt tools expense $500, Credit cash $500
From the complete question, the purchase price is given as:
Greater than $1000
The above entry would be recorded as follows:
Debt tools Credit cash.For each entry, the amount is one-half of the amount of the tool purchase In other words, the half of $1000 ($500)
Hence, the correct entry to record a tool purchase of $500 is Debt tools expense $500, Credit cash $500
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Which stage direction from part one of trifles most adds to the suspenseful tone?.
Answer:
uhhh left stage direction
Answer:
Edge2022
D. MRS. PETERS (starts to speak, glances up, where footsteps are heard in the room above. In a low voice.)
Explanation:
In which region would an archaeologist be most likely to find evidence of roman roads?.
Answer:
saharan africa
Explanation:
. Roman roads are spread to northern Africa.
if the archeologist would go to sub Sahara Africa, he would be more likely to fijd the roads.
he could also go to Israel. the Roman's made a stone paved road and some people while traveling it dropped coins. if he were to look for the coins, he would find the road.
Which phrase best describes the harlem renaissance?.
Answer:
The Harlem Renaissance was an intellectual and cultural revival of African American music, dance, art, fashion, literature, theater and politics centered in Harlem, Manhattan, New York City, spanning the 1920s and 1930s.
I hope this helps you !!Put the plot events from animal farm in the correct order.
Answer:
how can u put more detail please