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
Learn more about algebra:
https://brainly.com/question/88431
Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Jpg degrees. Es004-1. Jpg degrees.
The reference angle is the smallest angle between the terminal side and the x-axis.
[tex](1)\ \theta = 300^o[/tex]
300 degrees is in the 4th quadrant.
So, the reference angle is
[tex]\alpha = 360 - \theta[/tex]
[tex]\alpha = 360 - 300[/tex]
[tex]\alpha = 60^o[/tex]
Hence, the reference angle of 300 degrees is 60 degrees
[tex](2)\ \theta = 225^o[/tex]
225 degrees is in the 3rd quadrant.
So, the reference angle is
[tex]\alpha = \theta - 180[/tex]
[tex]\alpha = 225 - 180[/tex]
[tex]\alpha = 45^o[/tex]
Hence, the reference angle of 225 degrees is 45 degrees
[tex](3)\ \theta = 480^o[/tex]
480 degrees is in the 2nd quadrant (i.e. 480 - 360 = 120)
So, the reference angle is
[tex]\alpha = 180 - \theta[/tex]
[tex]\alpha = 180 - 120[/tex]
[tex]\alpha = 60^o[/tex]
Hence, the reference angle of 480 degrees is 60 degrees
[tex](2)\ \theta = -210^o[/tex]
-210 degrees is in the 2nd quadrant (i.e. 360 - 210 = 150)
So, the reference angle is
[tex]\alpha = 180 - \theta[/tex]
[tex]\alpha = 180 - 150[/tex]
[tex]\alpha = 30^o[/tex]
Hence, the reference angle of -210 degrees is 30 degrees
Read more about reference angles at:
https://brainly.com/question/9601871
Answer:
i
Explanation:
the second one is -1
Which process is involved in growing crops? irrigation transportation recreation condensation.
Answer: irrigation
Explanation:
just took test on edg
Irrigation process is involved in growing crops It helps to grow agricultural crops, maintenance of landscape, re-vegetation of disturbed and dry soil and during low rainfall.
What is irrigation?Irrigation is the agricultural process of applying controlled amounts of water to land to assist in the production of crops. There are various types of irrigation- sprinkler irrigation, surface irrigation, drip irrigation, and manual irrigation.
It helps in nutritious growth of plants. The process by which water is brought to an area for use in growing crops is called irrigation. Irrigation is the process of artificial application of the desired amounts of water to the growing crops at required intervals. It helps to grow agricultural crops, maintenance of landscape, re-vegetation of disturbed and dry soil and during low rainfall.
Therefore,Irrigation process is involved in growing crops It helps to grow agricultural crops, maintenance of landscape, re-vegetation of disturbed and dry soil and during low rainfall.
Learn more about landscape on:
https://brainly.com/question/14742128
#SPJ7
Which statement describes the system of equations 3x-4y=-35.
Answer:
The system of equations is one solution.
Incisors (front teeth) act as wedges in the human body. Which change would increase the mechanical advantage of incisors? a decrease in the distance of the teeth from the fulcrum an increase in the distance of the teeth from the fulcrum an increase in the thickness at the widest part of the teeth and no change in the length of the teeth an increase in the length of the teeth and no change in the thickness at the widest part of the teeth.
Based on the information given about the wedge, the option that will increase the mechanical advantage of incisors is D. an increase in the length of the teeth and no change in the thickness at the widest part of the teeth.
A wedge simply means a triangular shaped tool that's used as a simple machine. It is used for the separation of objects.
It should be noted that Incisors (front teeth) act as wedges in the human body and there can be an increase the mechanical advantage of incisors when there's an increase in the length of the teeth and no change in the thickness at the widest part of the teeth.
Learn more about wedge on:
https://brainly.com/question/1242243
Answer:
D
Explanation:
EDGE 22
Based on this excerpt, it can be inferred that the war provides the author with his first flying experience. The author once felt pride and optimism about the war. The us soldiers are trained in hand-to-hand combat. The author has a begrudging respect for the vietcong.
Based on this excerpt, it can be inferred that: B) the author once felt pride and optimism about the war.
The excerpt is about a young soldier who was excited about entering the U.S military helicopter with the South Vietnamese battalion. He stressed his pride and excitement at being a part of this mission.
He also believed that they will be triumphant in the battle and eventually make their country a better place. So, option B is correct.
Here is the excerpt:
Read this excerpt from "Not a Dove, But No Longer a Hawk."
I remember distinctly the thrill of climbing aboard a U.S. Army helicopter in the cool of the morning and taking off across the rice fields with a South Vietnamese battalion for a day’s jousting with the Vietcong guerillas. I was proud of the young American pilots sitting at the controls in the cockpit and I was grateful for the opportunity to witness this adventure and to report it. We are fighting now, I used to think, and some day we will triumph and this will be a better country.
Learn more about inferences here:
https://brainly.com/question/1835395
Answer:
b
Explanation:
write notes about type of newtork (based on their Newtork size) ?
Answer:
It will brighten up your mode so if you need help watch anime my dude
Explanation:
Which graph represents a reflection of f(x) = 6(0. 5)x across the x-axis?.
Answer: f(x)=6(0.5)^x
A student is bouncing on a trampoline. At her highest point, her feet are 95 cm above the trampoline. When she lands, the trampoline sags 25 cm before propelling her back up.
The time she spent in contact with the trampoline is 0.1619 seconds.
The objective of this question is to determine for how long she is in contact with the trampoline?
The conservational force is exerted on the trampoline is equivalent to the sum of the potential energy at the highest point and the elastic energy at the lowest point.
∴
From the given information;
[tex]\mathbf{mg \dfrac{(95 +25)}{100} = \dfrac{1}{2}k ( \dfrac{25}{100})^2}[/tex]
[tex]\mathbf{m\times g\times 1.2 = k(0.03125)}[/tex]
[tex]\mathbf{m\times 9.8 \times 1.2 = k(0.03125)}[/tex]
[tex]\mathbf{\dfrac{m}{k} = \dfrac{(0.03125)}{9.8 \times 1.2}}[/tex]
[tex]\mathbf{\dfrac{m}{k} = 0.002657}[/tex]
Using the Simple Harmonic Motion to determine the time at which she is in contact with the trampoline, we have;
[tex]\mathbf{t= \dfrac{T}{2}}[/tex]
[tex]\mathbf{t= \dfrac{2 \pi}{2} \sqrt{\dfrac{m}{k}}}[/tex]
where;
[tex]\mathbf{\dfrac{m}{k} = 0.002657}[/tex][tex]\mathbf{t= \dfrac{2 \pi}{2} \times \sqrt{0.002657}}}[/tex]
[tex]\mathbf{t=0.1619\ sec}}[/tex]
Learn more about the time period of a Simple Harmonic Motion here:
https://brainly.com/question/17315536
You are seated in the driver's seat of your parked car, preparing to drive. You must properly fasten your seat belt.
when we are seated on the drivers seat and about to drive, one safety measure we should endeavour to follow is that we should always fasten our seat belt.
Not only as drivers but as passengers in a vehicle, this will go a long to ensure our safety in the event of a road crash and during impact.
Learn more about car seat belt:
https://brainly.com/question/1103508
How does your power output in climbing the stairs compared to the power output of a 100 watt.
Answer:
the power output is the amount of gravitational potential energy being carried out by releasing electricity
Bob plants some seeds in a small cup. He puts the cup in the light and waters the soil every day. After 4 days, the seedlings emerge from the soil. What can bob conclude?.
What Bob can conclude after 4 days when the seedlings emerged from the soil is that;
The seedlings exerted an upward pushing force on the soil.
Since he planted some seeds in a cup of soil and puts water and light daily into it, it means that the seedling is supposed to germinate and begin to grow.
However, we are told that after 4 days, the seedlings emerged from the soil. What this means is that the seedlings didn't germinate and as such they instead forced their way up the soil with an upward pushing force.
Read more about germination of seeds at; https://brainly.com/question/24872944
If angle acb is 34 degrees what is the measure of angle adb.
Answer:
34 because the shape is split.
Explanation:
Which of the following statements is true of using internet of things devices in your home.
The internet of things is a concept whereby multiple devices get to connect and share data from a common repository. The Internet of Things refers to a network of physical devices that use sensors, software, and connectivity to share data.
Here are valid statements regarding the internet of things
Has greater Transparency Greater control Greater performanceExample of the application os internet of things
Smart refrigerators, smart watches, smart fire alarms, smart door locks, smart cities, medical sensors, fitness trackers, smart homes
Learn more about internet of things:
https://brainly.com/question/24691625
A bag contains chips of which 27. 5 percent are blue. A random sample of 5 chips will be selected one at a time and with replacement. What are the mean and standard deviation of the sampling distribution of the sample proportion of blue chips for samples of size 5 ?.
Answer:
No. of blue chips contain in a bag = P = 27.5 % = 0.27
No. of chips random selected at a time with replacement = n = 5
We know that the mean and standard deviation of the sampling distribution of the sample proportion (p) is given by :-
\mu\-_pμ\-p = p
= 0.275
\sigma_pσp = \sqrt{\frac{p (1-p)}{n} }np(1−p)
Where p= Population proportion and n = sample size.
Let p be the proportion of blue chips.
As per given , we have
p= 0.275
n= 5
= \sqrt{\frac{0.275 ( 1 - 0.275)}{5} }50.275(1−0.275)
= 0.1997
The mean and standard deviation of the sampling distribution of the sample proportion will be 1.375 and 0.9984.
What is the mean and standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a larger range, a low standard deviation suggests that the values tend to be near to the established mean.
A bag contains chips of which 27.5 percent are blue. A random sample of 5 chips will be selected one at a time and with replacement.
Then the mean is given as,
Mean = 0.275 x 5
Mean = 1.375
Then the standard deviation is given as,
Standard deviation = √[5 x 0.275 x (1 - 0.275)]
Standard deviation = √0.99687
Standard deviation = 0.9984
The mean and standard deviation of the sampling distribution of the sample proportion will be 1.375 and 0.9984.
More about the mean and standard deviation link is given below.
https://brainly.com/question/28108712
#SPJ2
Which of the following processes suggest that matter is made up of minute particles.
Answer:
the answer is evaporation
Explanation: Evaporation is the process by which a liquid transforms into vapor (a gas). When some material is in its liquid phase, its particles are really close together (but not as much as we would see in a metal). As the temperature of the liquid increases, also does the kinetic energy of the particles. This cause the particles in the water to move a lot faster, thus its oscillations are larger. This causes an increase in the volume of the material.
Write an essay of at least 750 words that analyzes the relationship to the entirety of "young goodman brown" to a short passage (no longer than two paragraphs) of your choice from the beginning, middle, or end of the story. Explain how the passage relates to the author's development of theme, characters, or plot. Use details from the story to support your thesis. After completing each step of the writing process, revise your essay, paying close attention to clarity, transitions, and conventions. You should also follow mla guidelines for in-text citations and a works cited page.
To write an essay that analyzes the relationship between the entirety of "Young goodman brown" and a passage that relates to the development of the theme author, characters or plot, we can choose the following excerpt:
"And when Brown looks up to meet his wife Faith, it's a metaphor for how our faith cannot save us from committing sins, because those who built those beliefs were sinners, and so most religions are based on lies."This passage relates to the tale's central premises, that humanity lives in a state of depravity, in keeping with the Calvinist belief that God has destined salvation to some through his grace.
Therefore, based on Brown's self-examination, the tale demonstrates how sin is a reality for all humans, regardless of their good practices and actions.
Find out more information about essay here:
https://brainly.com/question/13185698
Alyssa is 12 years older than her sister, bethany. The sum of their ages is 44. Find their ages.
Which two characteristics are shared by all thunderstorms, tornados, and hurricanes? clouds and wind eyes and clouds warm, dry air and wind large waves and warm, dry air.
Answer:
Clouds and wind
Explanation:
A on EDGENUNITY
Clouds and wind eyes are characteristics are shared by all thunderstorms.
What is Thunderstorms?A thunderstorm is a downpour of rain accompanied by thunder. Since lightning produces thunder, all thunderstorms contain lightning.
The afternoon and evening hours in the spring and summer are when thunderstorms are most likely to occur, however they can happen at any time of day.
The majority of thunderstorms happen in the afternoon in the Gulf Coast and throughout the southeastern and western regions. In the Plains states, thunderstorms usually develop in the late afternoon and at night.
Therefore, Clouds and wind eyes are characteristics are shared by all thunderstorms.
To learn more about Thunderstorms, refer to the link:
https://brainly.com/question/28268446
#SPJ7
Isaiah, a vibrant young boy, is the leader of a school debate team that is competing with a team from another school. He believes that his team is moral and strong, while the other team members are weak and evil. In the context of misperception, isaiah most likely exemplifies ________ in this scenario.
Considering the situation described above, in misperception, Isaiah most likely exemplifies mirror-image perception in this scenario.
What is mirror-image perception?Mirror-image perception is a term that is used in a socio-psychological context to describe how individuals perceive themselves as the opposite of their competitors.
Usually, in Mirror-image perception, individuals tend to see themselves as an excellent and peace-loving personality, while the other is viewed as the evil and devil advocate.
How Mirror Image Perception is applicable hereTherefore, since Isiah believes that his team is moral and strong, while the other team members are weak and evil, this is an example of Mirror image perception.
Hence, in this case, it is concluded that. the correct answer is Mirror image perception.
Learn more about Mirror image perception here: https://brainly.com/question/10455747
The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins. A table showing rate in part per hour, time in hours, and part of bins emptied. The first row shows first truck and has, startfraction 1 over 5 endfraction, t, and startfraction 1 over 5 endfraction times t. The second row shows second truck and has, startfraction 1 over 8 endfraction, t, and startfraction 1 over 8 endfraction times t. When the two crews start working together, what part of all the garbage bins will the first garbage truck empty? 0. 6 0. 5 0. 7 0. 4.
When the two crews start working together, the part of all the garbage bins that the first garbage truck will empty is; A: 0.6
We are told that the first truck empties all bins in 5 hours. Thus;
Rate of first truck per hour = ¹/₅
Second truck empties all bins in 8 hours. Thus;
Rate of second truck per hour = ¹/₈
If both trucks work together, their rate per hour is;
Combined rate per hour = ¹/₅ + ¹/₈
Combined rate per hour = ¹³/₄₀
Thus, number of hours it will take for both of them to do the whole job, we will solve as;
¹³/₄₀t = 1
where t is the time it will take both of them combined to finish the whole job.
Thus;
t = ⁴⁰/₁₃
The part that the first garbage truck will empty when they both work together = ¹/₅t = ¹/₅ * ⁴⁰/₁₃
⇒ Approximately 0.6
Read more about work proportions at; https://brainly.com/question/13927812
Answer:
0.6
Explanation:
they will be evenly working together at 0.6
In what two ways does the el niño wind pattern affect human habitation?.
Choose which word best answers the question. What would you find in un escritorio? una pizarra un cuaderno una mochila un reloj.
Answer:
You would find papers in Un escritorio (desk)
Chalk in una pizarra (blackboard)
Writing in un cuaderno (journal)
Items in una mochila (bag)
Numbers/ the time on un reloj (clock)
The un cuaderno, word best answers the in un escritorio. Thus, option (b) is correct.
What is word?The term words refer to the combination of the letters. The words are the always in to define the meaning. The letters are the arranged in proper manner of the spellings are the correct format. The words are the arranged in proper manner in the creation of the sentence. The words are the noun and the pronoun.
The definition of the word is the work surface on a computer screen that replicates the top of a real desk. To form the plural of this sentence, we must first form the plural of its two constituents. When counting, use uno unless talking to a thing or somebody feminine. Even if the nouns are plural, use un before such a male noun and una before a feminine noun.
Therefore, option (b) is correct.
Learn more about on word, here:
https://brainly.com/question/28611
#SPJ2
Which of the following best represents a plan for choosing a cardiofitness activity?.
Answer:
Either compare multiple aerobic activities and choose an activity suited for personal goals or avoid comparing aerobic activities and choose an activity suited for personal goals.
David is a sophomore in high school and is studying for his united states history exam, in which he must recall all of the battles in the american revolutionary war. At first, he begins by just trying to group all of the facts associated with each battle into his memory. When he realizes he is forgetting some battles, he begins repeatedly associating the events that occurred in each battle with the place where the battle occurred. He finds he remembers the battles more readily this way, but he is still having a hard time remembering all the facts associated with each battle. Because he continues to think this is the best way to approach learning, he continues to study in this manner. After several bad grades, he realizes that his studying technique is not working, so he asks a friend who is doing better at remembering everything how she is studying. She said she is making up stories about each battle and how each battle is connected with other battles. David tries this method and finds it was much more effective for him.
People are often influenced by different things that affect their behavior. The concepts that relates to this scenario is explained below.
Metacognition is known to be the act of thinking about one's own thought and learning. David first use a method to remember the battles in the American Revolutionary war, and later on uses an alternative method. He asked a friend when he saw his errors. This shows that David understood his thought process and is trying too control it.
Method of loci is known as a strategy of memory enhancement that uses visualizations to boast e recall of information. David uses this to link the events that happened in each battle with the place where the battle took place.
Deep processing is known as a step taken in processing spectrum of mental recall via examining of language used. David's friend uses stories for each battle and connects it with other battles. David then uses deep processing via examining the battles too.
Rehearsal often uses repetition to remember things. David always practicing boast his remembrance of the battles in the American Revolutionary War.
Elaboration is used to enhance total remembrance. By making up stories about each battle and relates it to other battles, it aid David in learning.
Chunking is known as the act of taking different pieces of information and placing them into larger units. David friends sees each battle as a single unit and then they often link up the different events together.
Mental set is known as the ability of the brain to stick with the most familiar solution to a problem and ignore others. David uses the friends method and apply as it aid remembrance more.
See the other part of the question
Explain how each of the following concepts relates to this scenario.
Metacognition
Method of loci
Deep processing
Rehearsal
Elaboration
Chunking
Mental set
Learn more about these scenarios above from
https://brainly.com/question/16017972
Which statements regarding triangle e f g are true? select three options.
Answer:
67 YOU THE BESTAND ANC 643
Explanation:
Never set the tiger free if you live in the mountain.
The above is a proverb that essentially means that we should not engage in actions that might hurt us later.
Hypothetically speaking, you live in a mountain and one of your traps was able to capture a tiger; you then set that tiger free out and one day it attacks and kills you.
If you had killed the tiger after you caught it, you would still be alive. This is the purpose of the proverb - to say that if you have an opportunity to avoid future danger, take it.
In conclusion, deal with things now before they become problems later.
Find out more about this proverb at https://brainly.com/question/9704672.
A 1. 00-g sample of a metal x (that is known to form x2+ ions) was added to 0. 100 l of 0. 500 m h2so4. After all the metal had reacted, the remaining acid required 0. 0334 l of 0. 500 m naoh solution for neutralization. Calculate the molar mass of the metal and identify the element.
Answer:
7
Explanation:
reason why is beacuse bannanas
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.
It is a process where genes are inserted into the genome of a different organism.
Answer:
Recombinant DNA technology
Explanation:
Recombinant DNA (rDNA) is a technology that uses enzymes to cut and paste together DNA sequences of interest. The recombined DNA sequences can be placed into vehicles called vectors that ferry the DNA into a suitable host cell where it can be copied or expressed.
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: