The equation computed shows that the price of apple is $2 and the price of banana will be $2.75.
How to compute the equation?Christopher sold 35 pounds of apples and 34 pounds of bananas for a total revenue of $163.50. This will be:.
35a + 34b = 163.50
He also sold 15 pounds of apples and 17 pounds of bananas for a total revenue of $76.75. This will be:
15a + 17b = 76.75
Equate both equations
35a + 34b = 163.50 ..... i
15a + 17b = 76.75 ...... ii
Multiply equation i by 15.
Multiply equation ii by 35
525a + 510b = 2452.50 .... iii
525a + 595b = 2686.25 .... iv
Subtract equation iii from iv
85b = 233.75
b = 233.75/85
b = 2.75.
The price of banana is $2.75.
The price of apple will be:
35a + 34b = 163.50
35a + 34(2.75) = 163.50
35a + 93.50 = 163.60
35a = 163.50 - 93.50
35a = 70
a = 70/35
a = 2
The price of apple is $2.
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What is the volume of this right prism? 96 in³ 60 in³ 48 in³ 44 in³
Option C) 48in³ is the correct answer.
Hence, the volume of the right triangular prism is 48in³.
This question is incomplete, the missing diagram is uploaded along this answer.
Given the data in the question;
Side length a; [tex]a = 4in[/tex]Side length b; [tex]b = 5in[/tex]Side length c; [tex]c = 3in[/tex]Height; [tex]h = 8in[/tex]Volume; [tex]V = \ ?[/tex]
Volume of right triangular PrismVolume is simply the space created when a surface is enclosed , it is the space that a quantity material that can be held.
The volume of a right triangular prism can be expressed as;
[tex]V = \frac{1}{4}h\sqrt{(a+b+c)(b+c-a)(c+a-b)(a+b-c)}[/tex]
To determine the volume of the right triangular prism, we substitute our given values into the expression above.
[tex]V = \frac{1}{4}h\sqrt{(a+b+c)(b+c-a)(c+a-b)(a+b-c)}\\\\V = \frac{1}{4}*8in*\sqrt{(4in+5in+3in)(5in+3in-4in)(3in+4in-5in)(4in+5in-3in)}\\\\V = \frac{1}{4}*8in*\sqrt{(12in)(4in)(2in)(6in)}\\\\V = \frac{1}{4}*8in*\sqrt{576in^4}\\\\V = \frac{1}{4}*8in*24in^2\\\\V = \frac{1}{4} * 192in^3\\\\V = 48in^3[/tex]
Option C) 48in³ is the correct answer.
Hence, the volume of the right triangular prism is 48in³.
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Answer:
The answer is [tex]48in^{3}[/tex].
Explanation:
Finding another person with your exact fingerprints is:
Answer : Impossible
Explanation : You Can't Find Someone With The Same Fingerprint.
Enjoy
The writer is considering deleting the underlined independent clause in sentence 7 (reproduced below), adjusting the punctuation as necessary. In a classic experiment, students who watched their schools compete in a football game subsequently remembered the adversary’s team performing worse than their own: confirmation bias caused the students, who already believed in their own school’s superiority, to interpret what they had seen as support for their preexisting beliefs. Should the writer keep or delete the underlined text?
The answer to whether the writer should keep or delete the underlined text is; Keep it, because it provides an example that explains how confirmation bias affects memory
What are clauses and punctuations?In language, a clause is a constituent that connects a semantic predicand and a semantic predicate. A common clause is made up of a subject and a syntactic predicate, the last ordinarily an action word with any items and different modifiers.
A modifier clause depicts or gives more data about the action word lets us know when, where, how, how much, or under what condition something is going on. Model she cried in light of the fact that her shell was broken. A thing clause replaces a thing in the sentence.
Punctuation fills our composition with quiet inflection. We stop, stop, underline, or question utilizing a comma, a period, an interjection point or a question mark.
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Your email campaign has an open-rate of 9. 6%, and you emailed 25,000 people. How many people opened your email?
The number of people that opened the email sent by the campaign is 2,400.
Given the data in the question;
Open rate; [tex]r = 9.6[/tex]% [tex]= \frac{9.6}{100}[/tex]Number of emails sent; [tex]n = 25,000[/tex]Number of people that opened the email; [tex]e_o = \ ?[/tex]Rate and PercentageRate is simply the ratio of a measure or frequency against another measure in different unit.
Percentage is a ratio expresses as a fraction of hundred.
Now, to determine the number of people that opened the email, we multiply the open-rate by the number of mail sent.
[tex]e_o = r * n\\\\e_o = \frac{9.6}{100} * 25000\\\\e_0 = 2400[/tex]
Therefore, the number of people that opened the email sent by the campaign is 2,400.
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Geometry volume 1 houghton mifflin harcourt answers pdf
The volume of a shape is the amount of space in it
The volume of the assumed shape is 235.5 cm³
How to calculate the volume of a geometric shape?The question is incomplete as the dimensions or the figure is not given
So, I will provide a general solution
Assume the shape is a cylinder, with the following parameters:
Radius, r = 5 cm
Height, h = 3 cm
The volume is:
V = π r² h
This gives
V = (3.14) (5 cm)² (3 cm)
Evaluate the product
V = 235.5 cm³
Hence, the volume of the assumed shape is 235.5 cm³
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What aspects of traditional religion have been integrated into the Christian faith? (5mks)
Answer:
Traditional religion and the Christian faith share a lot of things besides being a daily practice, the most important is believing in ONE supreme god that created us humans and life after death. Traditional religion believes in praying for mercy and forgiveness and believes god reveals himself to people through special dreams or events.
Explanation:
What is the temperature of 12.20 mol of gas in a 18.35 l tank at 16.40 atm? round your answer to the tenths place.
Based on the calculations, the temperature of this ideal gas is equal to 300.5 K.
How to calculate the temperature.Mathematically, the temperature of an ideal gas is given by this formula:
[tex]PV=nRT\\\\T=\frac{PV}{nR}[/tex]
Where:
P is the pressure.R is the ideal gas constant.T is the temperature.n is the number of moles.V is the volume.Given the following data:
Number of moles = 12.20 moles.
Volume = 18.35 L.
Pressure = 16.40 atm.
Substituting the given parameters into the formula, we have;
[tex]T=\frac{16.40 \times 18.35}{12.20 \times 0.0821}\\\\T=\frac{300.94}{1.00162}[/tex]
T = 300.5 K.
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Go math grade 7 practice and skills fluency workbook answer key
There are a lot of math for grade 7. An example of practice and skills fluency work is Adding and Subtracting Integers.
An example of Adding and Subtracting Integers is: Solve for -5+(-3)
−5+(−3).
What is the rule for adding integers?Note that to add integers having the same sign, one has to keep the same sign and then they can add the absolute value of each number.
We are given the expression −5+(−3)
The next step is to use counters to stand in place of the numbers -5 and -3:
Note that there are 5+3 - -8 counters and all the counters stands as negative integer.
To evaluate the expression, on can see that there are:
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For approximately what values of x can you replace sin x by x-(x^3/6)
Answer:
15
Explanation: cause 1/2
Find the percent of decrease from 69 songs to 37 songs. round to the nearest tenth of a percent if necessary.
Answer:
the correct answer is 46.38%
Explanation:
hope this helps
have an awesome day -TJ :)
The idea that a dollar received in the future has less value than a dollar received today because a dollar received today can earn interest over time is called
The interest received on a dollar invested over time is called Return on Investment (ROI
Return on InvestmentIt should be noted that if the dollar received today is not put into good investment it might as well be the same as the dollar received in future.
Money losses value overtime hence in other for money to have values it should be invest carefully and wisely.
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If a diploid sperm fertilized an haploid egg what would the result be
It should be noted that if a diploid sperm fertilized an haploid egg the result be a single 2n diploid cell called the zygote.
What is a zygote?In fertilization, zygote can be regarded as a fertilized egg cell which form as a result of the union of a female gamete and a male gamete (sperm).
It is found during the embryonic development of humans and other animals.
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The box plot and table represent data on the number of points scored per game for two players, player a and player b, in their last 13 basketball games.
If you were the coach, the player I would want on my team would be player A.
Which player would I want on my team?
The player I would want on my team is the better player.
Statistics of Player A:
Minimum score = 14
Maxium score = 40
First quartile = 25
Median = 31
Third quartile = 33
Statistics for Player B:
Arranging Player B's scores in ascending order: 8, 21, 22, 22, 25, 25, 26, 28, 29, 31, 32, 35, 46
Minimum score = 8
Maxium score = 46
First quartile = 1/4(13 + 1) = 22
Median = 26
Third quartile = 3/4(13 + 1) = 31.5
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Does the confidence interval give convincing evidence of a difference in the population mean number of pairs of shoes for boys and girls at the school? justify your answer.
The confidence interval did give convincing evidence that there is difference in the population mean number of pairs of shoes for boys and girls at the school.
Why does the confidence interval did give convincing evidence?The interval is one that gave a good convincing evidence, based on the fact that the number 0 stands as NO difference ( (girls boys) and thus it is = 0 ).
It is also not not included in this interval and as such, it can mean that the difference in the mean number of shoes owned by girls and the mean number of shoes owned by boys is 0 .
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According to the law of supply, sellers are likely to reduce their supply of a good when
Answer:
sellers all suppliers are likely to reduce the supply of goods when there is a a decrease in the prices of the complementary goods. similarly the prices can be lowered when there is an exhaust supplies in the market. this means that when the supply is higher the prices tends to be lower and the demand decreases.
Answer: the goods selling price has gone down
Explanation: just took test
Go math grade 5 chapter 10 mid chapter checkpoint answer key
An example of go math grade 5 chapter 10 mid chapter checkpoint Question is 90 in. = ______ ft ______ in. The answer is 7 ft 6 in.
What is Go math grade 5 about?This is a math practice book that has been made specifically for grade 5. It aim to tech the students various topics in math that will broaden their level of understanding.
The question of 90 in. = ______ ft ______ in.
To solve for it, one has to change the larger unit into the smaller unit.
Thus we then Convert inches to feet.
1 feet is made up of = 12 inches
90 inches = 84 inches + 6 inches
Then 84/12 = 7 feet
Therefore, 90 in. = 7 ft 6 in.
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pasta with garlicky spinach and buttered pistachios
15.1 central angles and inscribed angles evaluate homework and practice
An example of 15.1 central angles and inscribed angles practice is is what is the name of the given chord, inscribed angle and central angle in the image ( attached)
What are central angles?This angle is known to be often called central based on the fact that its vertex is at the center.
The names of the chord is _AB and _BD
The name of the central angle is ∠ACD
the name of the Inscribed angle is ∠ABD
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Big ideas math algebra 2 student journal answer key pdf
An example of Big ideas math algebra 2 study question is Solve for the Given expression is 7.3² + 11.
What is big math algebra?This is known to be a type of math practice or text book that has been design to help student have basic knowledge of algebra.
Using the order of operations, we have to first simplify the exponential term first and later multiply it.
7. 3² + 11 =
=7⋅9+11 ;
=63+11
= 75
Therefore, the answer will be 74.
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advantages and disadvantages of status conferred as a result of mass communication
Answer:
Advantages
Education: Media educates the mass. With the help of television or radio shows, the mob discovers various facts about health affairs, environmental preservation, and many more topics of relevance.
Updated: People receive the latest news in a short time. Distance does not make a barrier in distributing information to people from any place on earth. People get daily news updates from media outlets, which keeps them updated on the current trends and happenings worldwide.
Exercise innate potentialities: People get to exercise their hidden talents through media. Media helps to showcase their hidden skills such as comedy, performing, singing, recitation, etc.
Gather knowledge: Media helps to increase knowledge about various subjects.
Mass production: Media acts as a great tool in promoting mass consumer products, increasing sales of the assets.
Diadvantages
Individualism: People spend an excessive amount of time on the internet, watching or binging content. As a result, their relationship with friends or family and neighbors may be affected.
Difficulty to Access: Some media topics are unsuitable for children; limiting access to such content can be challenging for elders in specific scenarios.
Fraudulence and Cybercrime: The Internet opens up avenues for imposters, criminals, and hackers, or such predators with the possibility to commit criminal acts without any knowledge of the victims.
Addiction: Some television programs and internet media can be very addictive to most children and adults, leading to a drop in productivity.
Health Concerns: Prolonged television watching or internet binging can lead to vision problems, and exposure to loud noises by using headphones or earphones can lead to hearing defects.
Faulty advertisement tactics: It often makes the use of drugs and alcohol appear cool, which can be harmful to the nations’ youth.
Personal Injury: Some people decide to try the stunts that have been showcased in the media, which lead to severe injuries.
If you’ve insured a home for $200,000 and the home is only worth $150,000, you can only receive $150,000 at the most if you file a claim.
Answer:
yes,
Explanation:
200,000 - 150,000 = 150,000
How were you able to break down the plot of the story
Select the correct answers from the drop-down menus. Read the excerpt. Then choose the correct way to complete each sentence. Wilson sees as the key to achieving peace. A quotation that supports this conclusion is
A quotation that supports Wilson's conclusion about achieving peace is;
He laid out a vision for a just and peaceful world, a future that included free seas, an international agreement to avoid arms races,
What is the best way to complete the sentence?President Wilson gave a 14 points speech that was a proposal calling for the victorious Allies to set unselfish peace terms with the vanquished Central Powers of World War I, including freedom of the seas.
The peace speech also included the restoration of territories conquered during the war and the right to national self-determination in such contentious regions as the Balkans.
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Answer:
fist one is public agreements between... and second one is processes of peace... just took test on plato!!!
Explanation:
label each phase of the action potential as identified by the highlighted region of each graph.
The label of each phase of the action potential as identified by the highlighted region of each graph is given in the image attached.
What is depolarization?The term Depolarization is known to be a form of movement where the cell's membrane is said to have the likelihood to have a more positive value.
Conclusively, The term repolarization is known to be the alterations or a change that often takes place in membrane that are said to have the potential, to be able to return to a negative value.
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Cellular respiration and photosynthesis are two of the major processes involved in cycling carbon through the carbon cycle. Examine the model. What is one way the cellular respiration cycle carbon compounds through the biosphere?
Answer:
Cellular respiration releases carbon dioxide into the atmosphere.
Explanation:
Biochemical processes like photosynthesis and cellular respiration move matter and energy across the biosphere. These two processes make the exchange of carbon dioxide and oxygen between living things and their environment.
What is the role of cellular respiration in biosphere?The carbon cycle includes crucial processes including photosynthesis and cellular respiration. The biosphere recycles carbon through processes known as the carbon cycle.
While photosynthesis draws carbon dioxide out of the atmosphere, cellular respiration releases carbon dioxide into the environment.
Animals can release carbon through this mechanism, just as organic waste and dead organisms do when they decompose and release carbon into the soil.
Therefore, Cellular respiration releases carbon dioxide into the atmosphere.
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Which of the indicators on the chart above tell(s) us that Australia and New Zealand are highly developed countries?
A.
per capita GDP
B.
unemployment rate
C.
infant mortality rate
D.
all of the above
Answer:
Answer: D
GDP per capita is a measure of a country's economic output that accounts for its number of people.
The unemployment rate is defined as the percentage of unemployed workers in the total labor force.
The infant mortality rate is the number of deaths under one year of age.
Given the above information, a country with a higher GDP would have a more stable economy aiding in growth. A lower unemployment rate would show a surplus of jobs indicating, once again, a steady and growing economy. Lastly, a lower infant mortality rate would show access to advanced medicine and a highly trained medical field. All three of these examples are indicators of a highly developed country.
Explanation:
Which fact does not support the claim the social and economic differences between the north and the south caused the american civil war?
Answer: seven states seceded from the Union.
Explanation:
A sample of oxygen gas is confined at 127°c and 0.80 atm. if volume of the container holding the gas stayed the same, what would be the pressure of this sample at 27°c?
Based on the calculations, the pressure of this gas sample at 27°C is equal to 0.17 atm.
How to determine the final pressure.In order to calculate the final pressure of an ideal gas at constant volume, we would apply Gay Lussac's law.
Mathematically, Gay Lussac's law is given by this formula;
[tex]P\;\alpha \;T\\\\P=kT[/tex]
Where:
P is the pressure.T is the temperature.k is the constant of proportionality.Substituting the given parameters into the formula, we have;
[tex]\frac{P_1}{T_1} =\frac{P_2}{T_2} \\\\\frac{0.80}{127} =\frac{P_2}{27} \\\\0.0063 =\frac{P_2}{27}\\\\P_2 = 0.0063 \times 27[/tex]
Final pressure = 0.17 atm.
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Glencoe math course 2 volume 2 answer key 7th grade pdf
The volume of the figure is the amount of space in it.
Using the assumed values, the volume of the cone is 37.68
How to calculate volumes?The question is incomplete; so I will give a general explanation on how volumes can be calculated..
Assume the figure is a cone of the following dimension:
Radius (r) = 3 meters
Height (h) = 4 meters
The volume of a cone is calculated as:
[tex]V = \frac13 \pi r^2h[/tex]
So, we have:
[tex]V = \frac13 * 3.14 * 3^2 * 4[/tex]
[tex]V = 37.68[/tex]
Using the assumed values, the volume of the cone is 37.68
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Glencoe algebra 1 7-3 practice rational exponents answers
The expressions are illustrations of rational exponent expressions
The equivalent expressions are [tex](8x)^\frac 12 = 2\sqrt{2x[/tex], [tex]6z^\frac 12 = 6\sqrt z[/tex] and [tex]\sqrt{19} = 19^\frac 12[/tex]
How to simplify the rational exponent expressions?From the complete question (see attachment), we are to simplify or rewrite the following expressions
[tex](8x)^\frac 12[/tex]
[tex]6z^\frac 12[/tex]
[tex]\sqrt{19[/tex]
For [tex](8x)^\frac 12[/tex], we simply apply the exponent rule of indices
[tex](8x)^\frac 12 = \sqrt{8x[/tex]
Express 8 as 4 * 2
[tex](8x)^\frac 12 = \sqrt{4 * 2x[/tex]
Take the square root of 4
[tex](8x)^\frac 12 = 2\sqrt{2x[/tex]
For [tex]6z^\frac 12[/tex], we apply the exponent rule of indices
[tex]6z^\frac 12 = 6\sqrt z[/tex]
For [tex]\sqrt{19[/tex], we apply the the same rule
[tex]\sqrt{19} = 19^\frac 12[/tex]
Hence, the equivalent expressions are [tex](8x)^\frac 12 = 2\sqrt{2x[/tex], [tex]6z^\frac 12 = 6\sqrt z[/tex] and [tex]\sqrt{19} = 19^\frac 12[/tex]
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