The sum of the two numbers is $ 360
Let the bigger number be x
Let the smaller number be y
From the question given above, we were told that two numbers exist in ratio $ 5 : $ 3
Thus,
x : y = 5 : 3
x/y = 5/3
Cross multiply
x = 5y/3 ............ (1)
Also, we were told from the question that difference between the two numbers is $ 90 i.e
x – y = 90 ........... (2)
Substitute the value of x in equation (1) into equation (2). We have:
x = 5y/3 ............ (1)
x – y = 90 ........... (2)
5y/3 – y = 90
Multiply through by 3
5y – 3y = 270
2y = 270
Divide both side by 2
y = 270 / 2
y = $ 135
Substitute the value of y into equation 1 to obtain the value of x.
x = 5y/3 ............ (1)
y = $ 135
x = (5 × 135)/3
x = 675 / 3
x = $ 225
Finally, we shall determine the sum of the two numbers.
x = $ 225y = $ 135Sum =?Sum = x + y
Sum = 225 + 135
Sum = $ 360
Thus, the sum of the two numbers is $ 360
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Boyle’s law states that if the temperature of an ideal gas is held constant, then the pressure p of the gas and its volume v satisfy the relationship p=kv, where k is a constant. Which of the following best describes the relationship between the rate of change, with respect to time t, of the pressure and the rate of change, with respect to time t, of the volume?.
The best answer that describes the relationship between the rate of change with respect to time of the pressure and the rate of change with respect to time t of the volume is; dP/dt = (-k/V²)(dV/dt)
We are given;
p = k/v
Thus if we cross multiply, we will get;
PV = k
Where;
P is pressure
V is volume
k is a constant
Using the product rule of differentiation on both sides with respect to time t gives;V(dP/dt) + P(dV/dt) = 0
This is because k is a constant.
Putting k/v for P gives;
V(dP/dt) + (k/V)(dV/dt) = 0
>> V(dP/dt) = - (k/V)(dV/dt)
Divide both sides by V by division property of equality to get;
dP/dt = (-k/V²)(dV/dt)
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You wish to earn a return of 13% on each of two stocks, x and y. Stock x is expected to pay a dividend of $3 in the upcoming year while stock y is expected to pay a dividend of $4 in the upcoming year. The expected growth rate of dividends for both stocks is 7%. The intrinsic value of stock x.
Based on the information given, the intrinsic value of stock x will be less than the intrinsic value of stock Y.
Based on the information given above, the intrinsic value of Stock X will be calculated thus:
D1 = Dividend in next year = $3
g = growth rate = 7%
r = = 13%
Therefore, intrinsic value of Stock X will be:
= D1 / (r-g)
= 3 / (13% - 7%)
= 3/6%
= 3 / 0.06
= $50
Therefore, the intrinsic value of stock X is $50.
Intrinsic value of Stock Y will be calculated thus:
D1 = $4
g = 7%
r = 13%
Intrinsic value of Stock Y will be:
= D1 / (r-g)
= 4 / (13% - 7%)
= 4/6%
= 4 / 0.06
= 66.67
Intrinsic value of Stock Y is $66.67
Therefore, the intrinsic value of Stock X will be less than the intrinsic value of Stock Y.
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A cart with an unknown mass is at rest on one side of a track. A student must find the mass of the cart by using newton’s second law. The student attaches a force probe to the cart and pulls it while keeping the force constant. A motion detector rests on the opposite end of the track to record the acceleration of the cart as it is pulled. The student uses the measured force and acceleration values and determines that the cart’s mass is 0. 4kg. When placed on a balance, the cart’s mass is found to be 0. 5kg. Which of the following could explain the difference in mass?.
Answer:
The track was not level and was tilted slightly downward.
Explanation:
The track was not level and was tilted slightly downward.
which expression is equivalent to a+4a+8a+4a+8
Answer:
17a+8
Explanation:
combine like terms (all of the A's) and then the rest of the equation (8)
Answer:
17a+8
Explanation:
Which change will decrease the electric force between two positively charged objects?.
What is an equation of a parabola with the given vertex and focus (-2 5) (-2 6).
Alissa works for a wireless company, and she prides herself on the fact that her job duties help keep the emergency service phone line operating, which ultimately saves lives. Alissa’s sentiment reflects.
Considering the situation described above, Alissa’s sentiment reflects task significance.
What is Task Significance?Task Significance is the mental perception in which individuals consider their work view as significantly influencing other people's lives both within and outside the company.
How Task Significance is Applicable hereGiven that Alissa believes that her job duties help keep the emergency service phone line operating, this is an example of the Task Significance phenomenon.
Hence, in this case, it is concluded that the correct answer is "Task Significance."
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A reaction was found to be zero order in a. Increasing the concentration of a by a factor of 3 will cause the reaction rate to.
Answer:
Where is the choicesExplanation:
please send it in comment sectionWhen you add hot water to cold water the cold water warms up because of
Okay this is like Science or Chemistery, probably Sience
Answer:
So say you have some cold water running, if you turn on the hot water than the hot water will start coming too. The energy of the hot water will start warming up the cold water.
Explanation:
I don't really know, just tossing reasonable stuff out here.
Caleb draws two triangles and claims that the triangles are congruent.
Answer:
your question needs more description or an image. I'll help if you comment the rest of the question.
Explanation:
Two customers took out loans from a bank. • henry took out a 4-year loan for $5,000 and paid 4. 2% annual simple interest. • ingrid took out a 6-year loan for $5,000 and paid 3. 9% annual simple interest. What is the difference between the amounts of interest henry and ingrid paid for their loans?.
Explanation:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
Considering Henry's loan,
P = 5000
R = 4.2
T = 4 years
I = (5000 × 4.2 × 4)/100 = $840
Considering Ingrid's loan,
P = 5000
R = 3.9
T = 6 years
I = (5000 × 3.9 × 6)/100 = $1170
The difference between the amounts of interest Henry and Ingrid paid for their loans is
1170 - 840 = $330
I love y’all so literally here’s 100 points
glad to help :))))
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Which of the following costs are relevant to a make-or-buy decision?.
Answer:
im not sure thanks
Explanation:
All of the following duties are responsibilities of county government officials except __________.
Answer: regulating public service corporations
Explanation: due to it being public
Which theme is explored in the selection from the boston girl?.
The power of encouragement.
Explanation:
* By Anita Diamant, "The Boston Girl" is narrated in first-person a girl, Addie.
* Addie feels empowered after Miss Chevalier encourages her by emphasizing her qualities.
* Miss Chevalier takes care of a settlement house in a poor neighborhood, helping families of immigrants.
* She notices that Addie is a good reader and asks her to memorize a poem for a recital.
* She also teaches Addie the importance of knowing the meaning of words and knowing what words apply to oneself.
* For instance, she teaches Addie that she is a girl with "gumption".
*Addie feels seen, strong, and capable
because of Miss Chevalier.
What should the food worker do to safely thaw the pork.
Answer:
if the pork is in a bag, you can thaw it in a sink, or if it is not in a bag, put the pork in a bag before thawing it in said sink.
Which of these might affect how an age-of-consent law.
thiers no choices to chose from.
Unknown element x has four energy levels, five valence electrons, and is a metalloid. What is element x?.
Answer:
I think the answer is Silicon.
Explanation:
Hope this helps.
how can you help someone believe in themselves again and please explain you answer
Which of the following lists includes only organisms composed of cells?.
Answer:
last one
Explanation:
protists, bacteria, plants
What does this excerpt tell us most about the cat? she sleeps a lot. She is content. She feels cold. She is unconcerned.
Answer:
The answer is d and to check your self here is the passage
Last of all came the cat, who looked round, as usual, for the warmest place, and finally squeezed herself in between Boxer and Clover; there she purred contentedly throughout Major's speech without listening to a word of what he was saying.
Explanation:
In "Lather and Nothing Else," the line "feigning casual unconcern" reveals the following about the narrator's feelings.
What "Feigning casual unconcern" shows?"Feigning casual unconcern" shows that the narrator is really nervous about the man whose beard he has to shave, but he has to pretend that everything is fine.
"Lather and Nothing Else" is a short story by Hernando Tellez. It is set in Colombia during a civil war. The narrator of the story is not only a barber, but also a revolutionary. One day, a captain comes in to be shaved by the narrator. That man was responsible for the horrific killing and mutilation of four rebels.
The narrator is extremely nervous about the man's presence in his shop. After all, even if he is a client, he is also the enemy.
That is what the line below shows:
"I lifted the brush, and feigning casual unconcern, asked, 'Firing Squad?'"
The narrator is pretending to be unconcerned, but he is, in reality, disoriented and even shaking.
Therefore, In "Lather and Nothing Else," the line "feigning casual unconcern" reveals the following about the narrator's feelings.
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What is the speaker’s mood in this excerpt? unhappy playful childish determined.
Answer: playful
Explanation:
The speaker’s mood in the given excerpt is playful. Thus, the correct option for this question is B.
What is Speaker's mood?The speaker's mood may be defined as the mood of a character in a story is the attitude of the character towards a situation of another character. The speaker's mood is the general feeling or atmosphere that a piece of writing creates within the reader.
In the given excerpt from "Mending Wall," the speaker has a playful mood towards his neighbor and the situation where he was asked to build a wall, and he doesn't understand what is the point. To express his point of view he asks questions and has a playful attitude.
Therefore, the speaker’s mood in the given excerpt is playful. Thus, the correct option for this question is B.
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Your question seems incomplete. The most probable complete question is as follows:
Read the excerpt from "Mending Wall." Spring is the mischief in me, and I wonder If I could put a notion in his head: “Why do they make good neighbors? Isn’t it Where there are cows? But here there are no cows. Before I built a wall I’d ask to know What I was walling in or walling out, And to whom I was like to give offense. Something there is that doesn’t love a wall, That wants it down.” I could say “Elves” to him, But it’s not elves exactly, and I’d rather He said it for himself. What is the speaker’s mood in this excerpt?
unhappyplayful childish determined.Ahmet is allergic to dogs. While in the toy store he sees a stuffed toy dog and has an allergic reaction. Ahmet’s reaction to the toy best demonstrates the process of.
Considering the situation described above, Ahmet’s reaction to the toy best demonstrates the process of generalization.
The definition of generalization of reactionGeneralization of reaction is a term used to describe the propensity to react similarly to different but related stimuli.
Generalization concept in this situationGiven that Ahmet is allergic to dogs and, at the same time, has an allergic reaction to a stuffed toy dog, this is a form of generalization.
Hence, in this case, it is concluded that the correct answer is "generalization."
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Which of the following illustration do not show congruence.
Congruence simply means harmony or compatibility. The shapes are congruent when they have the same shape and size.
Your information is incomplete. Therefore, an overview of congruence will be given. Two geometric figures are congruent if it's possible to superpose one of them on the other one.
When two similar shapes are placed above each other, and they cover each other, then they are said to be congruent.
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Red lights on a traffic light have a frequency of 4. 3 x 1015 hz. What is the red light’s wavelength in meters?.
At midday, what is happening in the leaf of a plant?.
The new clients are not responding to our product the way we had hoped. - frankly, i’m hardly with last month’s sales.
Based on the information given, it can be noted that the word that will accurately fit into the sentence will be "beside myself".
Based on the complete information, it should be noted that one cannot use cloud nine, over the moon, or down in the dumps as they do not fit accurately into the sentence.
Therefore, the correct sentence will be that the new clients are not responding to our product the way we had hoped. Frankly, i’m hardly beside myself with last month’s sales.
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Two congruent squares are shown in figures 1 and 2 below.
Read the passage from when birds get flu and cows go mad! by john diconsiglio. Perhaps the best news about mad cow is that people do not catch it easily. Chances are, millions of people have eaten infected beef. But, for reasons scientists still do not understand, only about 150 people have gotten vcjd and died from it. The tone of the passage is anxious. Excited. Reassuring. Unhappy.
Answer:
anxious
Explanation:
that's that I think at least
The tone of the passage is Reassuring. Check more about tone below.
What does reassuring means?The term reassuring is one that means to restore hope or confidence in a particular thing or outcome.
Conclusively, Note that in the text, The tone of the passage is Reassuring. because the author stated that "the best news about mad cow is that people do not catch it easily", therefore assuring the people.
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A compound is broken down by chemical means during.
Answer:
"broken apart in chemical reactions called decomposition reactions"
Explanation:
So, Compounds can be broken apart in chemical reactions called decomposition reactions. For example, water can be broken down into the diatomic elements hydrogen gas and oxygen gas in a chemical reaction called electrolysis. ... Some compounds undergo thermal decomposition when they are heated