31.10.2021

The sum of 6 times a number and 8 times another number is 12. The difference of those numbers is 9. What are the two numbers

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Step-by-step answer

24.06.2023, solved by verified expert
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(x,y): (6 , -3) or (-30/7 , 33/7)

Step-by-step explanation:

6x + 8y = 12

x = y + 9 or   y = x+ 9

if x = y+9

6*(y+9) + 8y = 12

14y = -42

y = -3 and x = 6

if y = x+9

6x + 8*(x+9) = 12

14x = -60

x = -30/7   and y = 33/7

It is was helpful?

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Mathematics
Step-by-step answer
P Answered by PhD

(x,y): (6 , -3) or (-30/7 , 33/7)

Step-by-step explanation:

6x + 8y = 12

x = y + 9 or   y = x+ 9

if x = y+9

6*(y+9) + 8y = 12

14y = -42

y = -3 and x = 6

if y = x+9

6x + 8*(x+9) = 12

14x = -60

x = -30/7   and y = 33/7

Physics
Step-by-step answer
P Answered by PhD

1. science

2. advances in a science may lead to advances in technology and vice versa

3. they help visualize things that are very complex, very large, or very small

4. independent

5. inference

6. by publishing articles in scientific journals

   by giving talks at scientific conferences

7.  they all use SI system

8. a process in which scientists examine other scientists work

9. scientist receive questions and criticism from their peers

10. social science

11. forces cause changes in motion

12. drawing conclusions

    analyzing data

    revising a hypothesis

13. the hypothesis is revised

14. a scientific law

15. Kelvin

Explanation:

1.

The system of knowledge and the methods used to find that knowledge is referred to as science

2.

Science and Technology are related in that advances in a science may lead to advances in technology and vice versa

3.

Scientific models are important because they help visualize things that are very complex, very large, or very small

4.

The variable that is purposely changed and that you wish to test is called the independent  variable.

5. An explanation that tries to make sense of your observations based on personal experience and prior knowledge is called  inference

6. There are a number of possible ways that scientists can use to communicate the results of an investigation;

by publishing articles in scientific journals

by giving talks at scientific conferences

7. Scientists who speak different languages make their data understandable to one another through the use of the SI system .

8. The term peer review refers to a process in which scientists examine other scientists work for the purpose of questioning or criticism.

9. One reason that makes peer reviews important is;

Scientist are able to receive questions and criticism from their peers on a particular work of research.

10. The branches of natural science include;

life science

earth science  

physical science

11. One of the main ideas of physical science is that forces cause changes in motion

12. The main steps of the scientific methods  include;

drawing conclusions

analyzing data

revising a hypothesis

13. What happens when the data in an investigation does not support the original hypothesis;

the hypothesis is revised  

14. What is a statement that summarizes a pattern found in nature?

a scientific law

15. What is the SI units of Thermodynamic temperature?

Kelvin

Physics
Step-by-step answer
P Answered by PhD

1. science

2. advances in a science may lead to advances in technology and vice versa

3. they help visualize things that are very complex, very large, or very small

4. independent

5. inference

6. by publishing articles in scientific journals

   by giving talks at scientific conferences

7.  they all use SI system

8. a process in which scientists examine other scientists work

9. scientist receive questions and criticism from their peers

10. social science

11. forces cause changes in motion

12. drawing conclusions

    analyzing data

    revising a hypothesis

13. the hypothesis is revised

14. a scientific law

15. Kelvin

Explanation:

1.

The system of knowledge and the methods used to find that knowledge is referred to as science

2.

Science and Technology are related in that advances in a science may lead to advances in technology and vice versa

3.

Scientific models are important because they help visualize things that are very complex, very large, or very small

4.

The variable that is purposely changed and that you wish to test is called the independent  variable.

5. An explanation that tries to make sense of your observations based on personal experience and prior knowledge is called  inference

6. There are a number of possible ways that scientists can use to communicate the results of an investigation;

by publishing articles in scientific journals

by giving talks at scientific conferences

7. Scientists who speak different languages make their data understandable to one another through the use of the SI system .

8. The term peer review refers to a process in which scientists examine other scientists work for the purpose of questioning or criticism.

9. One reason that makes peer reviews important is;

Scientist are able to receive questions and criticism from their peers on a particular work of research.

10. The branches of natural science include;

life science

earth science  

physical science

11. One of the main ideas of physical science is that forces cause changes in motion

12. The main steps of the scientific methods  include;

drawing conclusions

analyzing data

revising a hypothesis

13. What happens when the data in an investigation does not support the original hypothesis;

the hypothesis is revised  

14. What is a statement that summarizes a pattern found in nature?

a scientific law

15. What is the SI units of Thermodynamic temperature?

Kelvin

Business
Step-by-step answer
P Answered by PhD
#1) The investment you make into a startup company is also known as .

Out of all the options that are available the one that is an investment you make into a startup company is also known as Venture capital. The reason being the it is the financial capital provided to early-stage, high-potential, high risk, growth startup companies. Therefore the correct answer is A).

#2) The correct order for saving should be ___.

Out of all the options that are shown above the one that represents the correct order for saving is D) Pay off credit debt, retirements, emergency fund.

#3) Investing in stock plans is .

Out of all the options that are shown above the one that represents the best accurate description of what investing in stock plans is would be choice B) High risk. The reason being that there are many disadvantages to the employer.

#4) To place savings into different types of saving instruments is to ___.

Out of all the options above the one that represents what it is to place saving into different types of saving instruments is A) Split invest.

#5)  Purchasing a home usually requires for the down payment.

Purchasing a home usually requires a lump sum of your own money to put against the cost of your home. The more money you place from you pocket, the less you need to borrow, and the lower your overall interest cost will be. Therefore the answer is B) A lump sum of money.

#6) Which of the following is not an example of a contract?

Out of all the options that are presented above the one that is not an example of a contract is D) Borrowing lunch money. A contract not only has to be between two or more parties but, it must also be enforceable by the court of law.

#7) Gains and losses on investments are also known as .

The gains and losses on investments are also known as A) Net gains. Because it is the overall improvement after all positive and negative influences have been fully accounted for.

#8) The United States Treasury issues ___ for you to purchase.

It issues C) Saving bonds for you to purchase.

#9) You want to buy a used car for $8,648.00 plus 4.7% sales tax. You want to make a 5% down payment. How much is your down payment?

After calculating the total cost of the car including sales tax I got $9054.47. The amount of money for your down payment of 5% is $452.723, leaving you with a loan of $8601.747.

#10) You want to buy a house in 9 years. The estimated cost is $175,800.00. You want to make a 20% down payment and closing costs are 7%. How much in total do you need save each month to reach your goal if you cover closing costs and the down payment?

For the 20% down payment we have $35,160 and for the closing cost $12,306. We know that 9 years have 108 months. With this information we get that we will need to save $325.56 each month for the down payment and $113.94 each month for the closing costs.

#11) You save 15% of your realized income each week. How much do you save per month?

After calculating the total money made hourly we get a total of $8.55. This means that we make a total of $111.15 a week. The total percentage of taxes is 28.15%. Our net is 71.85%. That leaves us with total of $79.86 dollars weekly. Now to calculate our savings weekly we take $79.86 and multiply it by 15% and we get $11.98 as our weekly savings. The total amount of money we get to save per month is $47.92.

#12) How much is the total value of your stocks in the second year?

Okay so first we have to know the total number of shares that we bought. For this we simply take our investment and divided by $10/share. We get 105. Then we calculate the value of our shares for the first year which would be $11.3 and after two years $10.735 because it decreased by 5%. As a result our total value of stocks in the second year is $1127.175.

#13) What is the difference in earnings between the stock and savings account the end of the second year?

After calculating the stock and savings account total I found out that the difference in earning between them is $104.738.

#14) How much is the difference and payments is you stay the whole year?

All we have to do is calculate the total amount of the lease which is $502*12 = $6024. Then the month to month contract which is $615*12 = $7380. From here we simply subtract to get the difference in payment if you stay the whole year. The difference is $1356.

#15) Using the information from number 14, you leave after six months. How much is the difference in that amount paid between the two contracts?

For this case we will have to take into account the penalty for breaking the lease. So for the lease we will get $4016 and for the month to month contract we get $3690. The difference is $326.

I hope it helps, Regards.
Business
Step-by-step answer
P Answered by PhD
#1) The investment you make into a startup company is also known as .

Out of all the options that are available the one that is an investment you make into a startup company is also known as Venture capital. The reason being the it is the financial capital provided to early-stage, high-potential, high risk, growth startup companies. Therefore the correct answer is A).

#2) The correct order for saving should be ___.

Out of all the options that are shown above the one that represents the correct order for saving is D) Pay off credit debt, retirements, emergency fund.

#3) Investing in stock plans is .

Out of all the options that are shown above the one that represents the best accurate description of what investing in stock plans is would be choice B) High risk. The reason being that there are many disadvantages to the employer.

#4) To place savings into different types of saving instruments is to ___.

Out of all the options above the one that represents what it is to place saving into different types of saving instruments is A) Split invest.

#5)  Purchasing a home usually requires for the down payment.

Purchasing a home usually requires a lump sum of your own money to put against the cost of your home. The more money you place from you pocket, the less you need to borrow, and the lower your overall interest cost will be. Therefore the answer is B) A lump sum of money.

#6) Which of the following is not an example of a contract?

Out of all the options that are presented above the one that is not an example of a contract is D) Borrowing lunch money. A contract not only has to be between two or more parties but, it must also be enforceable by the court of law.

#7) Gains and losses on investments are also known as .

The gains and losses on investments are also known as A) Net gains. Because it is the overall improvement after all positive and negative influences have been fully accounted for.

#8) The United States Treasury issues ___ for you to purchase.

It issues C) Saving bonds for you to purchase.

#9) You want to buy a used car for $8,648.00 plus 4.7% sales tax. You want to make a 5% down payment. How much is your down payment?

After calculating the total cost of the car including sales tax I got $9054.47. The amount of money for your down payment of 5% is $452.723, leaving you with a loan of $8601.747.

#10) You want to buy a house in 9 years. The estimated cost is $175,800.00. You want to make a 20% down payment and closing costs are 7%. How much in total do you need save each month to reach your goal if you cover closing costs and the down payment?

For the 20% down payment we have $35,160 and for the closing cost $12,306. We know that 9 years have 108 months. With this information we get that we will need to save $325.56 each month for the down payment and $113.94 each month for the closing costs.

#11) You save 15% of your realized income each week. How much do you save per month?

After calculating the total money made hourly we get a total of $8.55. This means that we make a total of $111.15 a week. The total percentage of taxes is 28.15%. Our net is 71.85%. That leaves us with total of $79.86 dollars weekly. Now to calculate our savings weekly we take $79.86 and multiply it by 15% and we get $11.98 as our weekly savings. The total amount of money we get to save per month is $47.92.

#12) How much is the total value of your stocks in the second year?

Okay so first we have to know the total number of shares that we bought. For this we simply take our investment and divided by $10/share. We get 105. Then we calculate the value of our shares for the first year which would be $11.3 and after two years $10.735 because it decreased by 5%. As a result our total value of stocks in the second year is $1127.175.

#13) What is the difference in earnings between the stock and savings account the end of the second year?

After calculating the stock and savings account total I found out that the difference in earning between them is $104.738.

#14) How much is the difference and payments is you stay the whole year?

All we have to do is calculate the total amount of the lease which is $502*12 = $6024. Then the month to month contract which is $615*12 = $7380. From here we simply subtract to get the difference in payment if you stay the whole year. The difference is $1356.

#15) Using the information from number 14, you leave after six months. How much is the difference in that amount paid between the two contracts?

For this case we will have to take into account the penalty for breaking the lease. So for the lease we will get $4016 and for the month to month contract we get $3690. The difference is $326.

I hope it helps, Regards.
Biology
Step-by-step answer
P Answered by PhD

1. False 4. Identical to parent 5. Autotrophs (all are plants) 6. Carolus Linnaeus 7. paradoxus, vulpinus, mokarran, monoceros 8. Insufficient information to answer 9. Vascular plants have phloem and xylem 10. True 11. Genus and species 12. do not have true roots, stems, leaves 13. Insufficient data to answer 14. Xylem transports water upwards 15. Insufficient data to answer

Explanation: 8, 13, 15 do not have tables/figures attached

Domain > kingdom > phylum > class > order > family > genus > species

Physics
Step-by-step answer
P Answered by Specialist
1. The main benefit of a technical school certification is more time spent perfecting skills compared to college
2. Juanita, who lives with her brother, has saved $12,000 for a down payment on her own house. Her financial planner suggests she look for a savings account that offers compound interest accounts. Juanita should take his advice because: She will earn interest on the initial deposit, as well as interest earned.
3. Jared's friends invite him to dinner at a local restaurant that serves Cuban food. Jared declines the offer because he dislikes the flavors in Cuban dishes. The best representation of Jared’s decision is Preference for another style of food
4. One bank offers a 4% variable rate loan, while a competitor offers a 3% fixed rate loan over the same period. Assuming no other differences between the loans, a customer should choose the fixed rate loan because the interest rate is lower and will not increase
5. If Juliet consistently buys health insurance for twenty years but never suffers a costly illness, were her premium payments wasted? No, if the safety of being insured was worth more to her than the monetary cost of the premiums
6. A period of economic stability began in the 1980s. In 2001, prices began to increase. In 2007, an economic crisis caused prices to fall. 2007 would be considered the peak of this cycle because from there, the prices start to fall.
7. If a series of events results in a decrease in investments in U.S. businesses, It would result to a CONTRACTION on the U.S. economy
8 The Medicine industry benefits from government subsidies.
9. A supply and demand graph, showing quantity on the x axis and price is on y axis. Red supply line S rises up and to the right f
There is SURPLUS if the line ""Artificial Price"" were above the intersection of the supply and demand lines.
10. How are start-up costs related to natural monopolies?
High start-up costs prevent others from offering the same service in a natural monopoly.
11. The function of the Federal Reserve System is to CONTROL THE MONEY SUPPLY
Biology
Step-by-step answer
P Answered by PhD

1. False 4. Identical to parent 5. Autotrophs (all are plants) 6. Carolus Linnaeus 7. paradoxus, vulpinus, mokarran, monoceros 8. Insufficient information to answer 9. Vascular plants have phloem and xylem 10. True 11. Genus and species 12. do not have true roots, stems, leaves 13. Insufficient data to answer 14. Xylem transports water upwards 15. Insufficient data to answer

Explanation: 8, 13, 15 do not have tables/figures attached

Domain > kingdom > phylum > class > order > family > genus > species

Physics
Step-by-step answer
P Answered by Master
1. The main benefit of a technical school certification is more time spent perfecting skills compared to college
2. Juanita, who lives with her brother, has saved $12,000 for a down payment on her own house. Her financial planner suggests she look for a savings account that offers compound interest accounts. Juanita should take his advice because: She will earn interest on the initial deposit, as well as interest earned.
3. Jared's friends invite him to dinner at a local restaurant that serves Cuban food. Jared declines the offer because he dislikes the flavors in Cuban dishes. The best representation of Jared’s decision is Preference for another style of food
4. One bank offers a 4% variable rate loan, while a competitor offers a 3% fixed rate loan over the same period. Assuming no other differences between the loans, a customer should choose the fixed rate loan because the interest rate is lower and will not increase
5. If Juliet consistently buys health insurance for twenty years but never suffers a costly illness, were her premium payments wasted? No, if the safety of being insured was worth more to her than the monetary cost of the premiums
6. A period of economic stability began in the 1980s. In 2001, prices began to increase. In 2007, an economic crisis caused prices to fall. 2007 would be considered the peak of this cycle because from there, the prices start to fall.
7. If a series of events results in a decrease in investments in U.S. businesses, It would result to a CONTRACTION on the U.S. economy
8 The Medicine industry benefits from government subsidies.
9. A supply and demand graph, showing quantity on the x axis and price is on y axis. Red supply line S rises up and to the right f
There is SURPLUS if the line ""Artificial Price"" were above the intersection of the supply and demand lines.
10. How are start-up costs related to natural monopolies?
High start-up costs prevent others from offering the same service in a natural monopoly.
11. The function of the Federal Reserve System is to CONTROL THE MONEY SUPPLY

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