Answers
Answer:
Subtract 7 from both sides
Step-by-step explanation:
Related Questions
How do I write an equation that would allow someone to find the value of R
Answers
Answer:
R+239=3501
Step-by-step explanation:
Add the three 1,167 values together and you get 3,501. Then, because we know a portion of the three blocks is equal to 239, add it so when we solve for R, 239 is subtracted from the total.
As for solving it,
Subtract 239 on both sides, and R is 3501-239 = 3262
Help. I don’t understand this.
Answers
Answer:
f(6)=2
f(2)=4
f(0)=7
f(5)=1.5
f(x)=1 x=4
Step-by-step explanation:
f(x)=y.The numbers represent the x values. As you are plugging in a number for x. Just look at the graph on the x-axis to get the y-values.
pls help me i will give u thanks
Answers
Hope this helps!!
Answer:
c) (6,5)
Step-by-step explanation:
The horizontal axis represents x values
The vertical axis represents y values
3.3x0.14 = ?
hazgxjklkkspkoxdh
Answers
Answer:
Step-by-step explanation:
0.462
Answer:
0.462 :) hope this helps and please put me as brainiest thankyou !!
Step-by-step explanation:
|)) Which sign makes the statement true?
83.95% ? 83.95%
<
=
Submit
Answers
Answer: =
Step-by-step explanation:
83.95% is equal to 83.95% (look at it)
Answer:
=
Step-by-step explanation:
umm 83.95 = 83.95?
6. Journalise the following transactions
1. Bricks for Rs 60,000 and timber for Rs 35,000 purchased for
the construction of building. The payment was made by cheque.
2. Placed in fixed deposit account at bank by transfer from current
account Rs 13,000.
3. Appointed Mr. S.N. Rao as Accountant at Rs 300 p.m. and
Received Rs 1000 as security Deposit at 5% p.a. interest.
4. Sold goods to shruti for Rs 80,000 at 15% trade discount and
4% cash discount. Received 75% amount immediately through a
cheque.
5. Purchased goods from Richa for Rs 60,000 at 10% trade
discount and 5% cash discount. 60% amount paid by cheque
immediately.
6.
On 18th jan,Sold goods to shilpa at the list price of Rs 50,000
20% trade discount and 4% cash discount if the payment is made
within 7 days. 75% payment is received by cheque on Jan 23rd.
7. On 25th jan, sold goods to garima for Rs 1,00,000 allowed her
20% trade discount and 5% cash discount if the payment is made
within 15 days. She paid 1/4th of the amount by cheque on Feb 5th
and 60% of the remainder on 15th in cash.
8. Purchased land for Rs 2,00,000 and paid 1% as brokerage and
Rs 15,000 as registration charges on it. Entire payment is made by
cheque.
9. Goods worth Rs 25,000 and cash Rs 40,000 were taken away
by the proprietor for his personal use.
10. Sold goods costing Rs 1,20,000 to charu at a profit of 33% 3 %
on cost less 15% trade discount.
9
11. Paid rent of building Rs 60,000 by cheque. Half the building is
used by the proprietor for residential purpose.
12. Sold goods costing Rs 20,000 to sunil at a profit of 20% on
sales less 20% trade discount .
13. Purchased goods for Rs 1000 from nanda and supplied it to
helen for Rs 1300. Helen returned goods worth Rs 390, which in
turn were returned to nanda.
14. Received invoice at 10% trade discount from rohit and sons
and supplied these goods to madan, listed at Rs 3000.
Answers
1.Bricks and timber purchased for construction. (Debit: Bricks - Rs 60,000, Debit: Timber - Rs 35,000, Credit: Bank - Rs 95,000)
2.Transfer of Rs 13,000 to fixed deposit account. (Debit: Fixed Deposit - Rs 13,000, Credit: Current Account - Rs 13,000)
3.Appointment of Mr. S.N. Rao as Accountant. (Debit: Salary Expense - Rs 300, Debit: Security Deposit - Rs 1,000, Credit: Accountant - Rs 300)
4.Goods sold to Shruti with discounts. (Debit: Accounts Receivable - Shruti - Rs 80,000, Credit: Sales - Rs 80,000)
5.Goods purchased from Richa with discounts. (Debit: Purchases - Rs 60,000, Credit: Accounts Payable - Richa - Rs 60,000)
6.Goods sold to Shilpa with discounts and received payment. (Debit: Accounts Receivable - Shilpa - Rs 50,000, Credit: Sales - Rs 50,000)
7.Goods sold to Garima with discounts and received partial payment. (Debit: Accounts Receivable - Garima - Rs 1,00,000, Credit: Sales - Rs 1,00,000)
8.Purchase of land with additional charges. (Debit: Land - Rs 2,00,000, Debit: Brokerage Expense - Rs 2,000, Debit: Registration Charges - Rs 15,000, Credit: Bank - Rs 2,17,000)
9.Proprietor took goods and cash for personal use. (Debit: Proprietor's Drawings - Rs 65,000, Credit: Goods - Rs 25,000, Credit: Cash - Rs 40,000)
10.Goods sold to Charu with profit and discount. (Debit: Accounts Receivable - Charu - Rs 1,20,000, Credit: Sales - Rs 1,20,000)
11.Rent paid for the building. (Debit: Rent Expense - Rs 60,000, Credit: Bank - Rs 60,000)
12.Goods sold to Sunil with profit and discount. (Debit: Accounts Receivable - Sunil - Rs 24,000, Credit: Sales - Rs 24,000)
13.Purchased goods from Nanda and supplied to Helen. (Debit: Purchases - Rs 1,000, Debit: Accounts Payable - Nanda - Rs 1,000, Credit: Accounts Receivable - Helen - Rs 1,300, Credit: Sales - Rs 1,300)
14.Purchased goods from Rohit and Sons and supplied to Madan. (Debit: Purchases - Rs 2,700, Credit: Accounts Payable - Rohit and Sons - Rs 2,700, Debit: Accounts Receivable - Madan - Rs 3,000, Credit: Sales - Rs 3,000)
Here are the journal entries for the given transactions:
1. Bricks and timber purchased for construction:
Debit: Bricks (Asset) - Rs 60,000
Debit: Timber (Asset) - Rs 35,000
Credit: Bank (Liability) - Rs 95,000
2. Transfer to fixed deposit account:
Debit: Fixed Deposit (Asset) - Rs 13,000
Credit: Current Account (Asset) - Rs 13,000
3. Appointment of Mr. S.N. Rao as Accountant:
Debit: Salary Expense (Expense) - Rs 300
Debit: Security Deposit (Asset) - Rs 1,000
Credit: Accountant (Liability) - Rs 300
4. Goods sold to Shruti:
Debit: Accounts Receivable - Shruti (Asset) - Rs 80,000
Credit: Sales (Income) - Rs 80,000
5. Goods purchased from Richa:
Debit: Purchases (Expense) - Rs 60,000
Credit: Accounts Payable - Richa (Liability) - Rs 60,000
6. Goods sold to Shilpa:
Debit: Accounts Receivable - Shilpa (Asset) - Rs 50,000
Credit: Sales (Income) - Rs 50,000
7. Goods sold to Garima:
Debit: Accounts Receivable - Garima (Asset) - Rs 1,00,000
Credit: Sales (Income) - Rs 1,00,000
8.Purchase of land:
Debit: Land (Asset) - Rs 2,00,000
Debit: Brokerage Expense (Expense) - Rs 2,000
Debit: Registration Charges (Expense) - Rs 15,000
Credit: Bank (Liability) - Rs 2,17,000
9. Goods and cash taken away by proprietor:
Debit: Proprietor's Drawings (Equity) - Rs 65,000
Credit: Goods (Asset) - Rs 25,000
Credit: Cash (Asset) - Rs 40,000
10. Goods sold to Charu:
Debit: Accounts Receivable - Charu (Asset) - Rs 1,20,000
Credit: Sales (Income) - Rs 1,20,000
Credit: Cost of Goods Sold (Expense) - Rs 80,000
Credit: Profit on Sales (Income) - Rs 40,000
11. Rent paid for the building:
Debit: Rent Expense (Expense) - Rs 60,000
Credit: Bank (Liability) - Rs 60,000
12. Goods sold to Sunil:
Debit: Accounts Receivable - Sunil (Asset) - Rs 24,000
Credit: Sales (Income) - Rs 24,000
Credit: Cost of Goods Sold (Expense) - Rs 20,000
Credit: Profit on Sales (Income) - Rs 4,000
13. Goods purchased from Nanda and supplied to Helen:
Debit: Purchases (Expense) - Rs 1,000
Debit: Accounts Payable - Nanda (Liability) - Rs 1,000
Credit: Accounts Receivable - Helen (Asset) - Rs 1,300
Credit: Sales (Income) - Rs 1,300
14. Goods received from Rohit and Sons and supplied to Madan:
Debit: Purchases (Expense) - Rs 2,700 (after 10% trade discount)
Credit: Accounts Payable - Rohit and Sons (Liability) - Rs 2,700
Debit: Accounts Receivable - Madan (Asset) - Rs 3,000
Credit: Sales (Income) - Rs 3,000
for such more question on journal entries
https://brainly.com/question/28390337
#SPJ8
One number is fourteen less than the other. If their sum is increased by seven, the result is 83. Find the numbers
Answers
Answer:
Let's call the two numbers x and y. We know that:
y = x + 14 (because one number is 14 more than the other)
x + y + 7 = 83 (because the sum of the two numbers plus 7 is 83)
We can substitute the first equation into the second equation:
x + (x + 14) + 7 = 83
Simplifying this equation:
x + x + 14 + 7 = 83
2x + 21 = 83
2x = 62
x = 31
So one number is 31 and the other number is 45 (since one is 14 more than the other).
Multiple Choice Carlos read a book for language arts class.
He finished the book on Friday. On Monday he read 27 pages.
On Tuesday he read 31 pages. On Wednesday he read 28 pages.
On Thursday and Friday he read the same number of pages each day.
The book has 144 pages. How many pages did he read on Thursday?
A. 28
B. 29
C. 31
D. 58
Answers
Carlos read 29 pages on Thursday.
What are equations?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.So Let, the pages read by Carlos on Thursday and Friday be x as on Thursday and Friday he read the same number of pages.
The equations will be: 27 + 31 + 28 + x + x = 144Now, solve the equation fr x as follows:
27 + 31 + 28 + x + x = 14486 + 2x = 1442x = 144 - 862x = 58x = 58/2x = 29So, Carlos read 29 pages on Thursday and Friday.
Therefore, Carlos read 29 pages on Thursday.
Know more about equations here:
https://brainly.com/question/2972832
#SPJ9
Quinn bought a bouquet of flowers as a surprise for her grandfather. She had expected it would cost $15 but her prediction was 50% more than the actual cost of the flowers. What was the actual cost of the flowers?
Answers
To find 50% of 15, you multiply. 15*50% equals 7.5.
PLEASE HELP FAST !!!!!
The distribution of pitches thrown in the
80 at-bats in a baseball game is as follows.
Pitches 1 2 3 4 5
Frequency 12 16 32 12 8
Find the relative frequency that the pitcher
will throw exactly 4 pitches in an at-bat.
?
Relative Frequency =
Do NOT simplify your answer.
Answers
The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
3/20.
How to calculate a relative frequency?A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of at bats in this problem is given as follows:
80.
In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
12/80 = 3/20.
More can be learned about relative frequencies at brainly.com/question/1809498
#SPJ1
I The following data set represents
the shoe size of a group of
kindergarteners.
12, 12, 9.5, 10.5, 11.5, 12
Answers
Answer:
12 because it is repeat which means multiple kindergarteners have a size 12 shoe
Step-by-step explanation:
what is 5 - 5 + 5 x 5 / 5
\(5 \times 5\)
Answers
Answer:
The answer is 5
Step-by-step explanation:
The answer is 25
2.86= ? teneh + 6 hundredth
Answers
Answer:
8
Step-by-step explanation:
Answer:
8 and 6.
Step-by-step explanation:
2.86 has tenths and hundredths place.
After the decimal point is the tenths place and after the tenths place is hundredths place.
The number 8 is the tenths place and the number 6 is in the hundredths place.
draw angle EFG of size 42 degreees
Answers
Angle EFG is an angle with a measure of 42 degrees is drawn below.
Given that, angle EFG= 42 degrees.
Angle EFG is an angle with a measure of 42 degrees. To draw angle EFG, first draw a line segment and mark two points on the line segment. Label the two points E and F. Then, using a protractor, measure out an angle with a measure of 42 degrees from the line segment EF, starting from point E. Finally, mark the end of the angle as point G.
Therefore, angle EFG is an angle with a measure of 42 degrees is drawn below.
To learn more about the construction of an angle visit:
https://brainly.com/question/28451077.
#SPJ1
Class: Algebra 2
I need help with these Natural Logarithms problems!!!!!
I will give lots of points!!!!
Answers
The solutions are: x = ln(2) for 2eˣ = 4, x = ln(25)/4 for e⁴ˣ = 25, x = ln(72) for eˣ = 72 and x = ln(124)/3 for e³ˣ = 124.
Solving equations using natural logarithmTo solve these equations using natural logarithm, we can use the following rules:
If a = eᵇ, then b = ln(a).If ln(aᵇ) = b ln(a).Using these rules, we can solve the given equations as follows:
2eˣ = 4
Divide both sides by 2 to get
eˣ = 2.
Take the natural logarithm of both sides to get
ln(eˣ) = ln(2).
Using rule 1 above, we can simplify ln(eˣ) to x, and we get
x = ln(2).
e⁴ˣ = 25
4x = ln(25).
Divide both sides by 4 to get
x = ln(25)/4.
eˣ = 72
Take the natural logarithm of both sides to get
x = ln(72).
e³ˣ = 124
Take the natural logarithm of both sides to get
3x = ln(124).
Divide both sides by 3 to get
x = ln(124)/3.
For the second set of equations, we use the same rule as above
So, we have
ln(x - 3) = 2
x - 3 = e²
x = e² + 3.
x ≈ 10.389.
Therefore, the solution is x ≈ 10.389.
ln(2t) = 4
2t = e⁴
t = 0.5 * e⁴
t ≈ 27.299.
Therefore, the solution is t ≈ 27.299.
Read more about logarithm at
https://brainly.com/question/24160402
#SPJ1
Please answer this correctly without making mistakes
Answers
Answer:
A digit that makes this sentence true is 4.
Step-by-step explanation:
Since the first digit in the number to the left is 3, you simply have to find a digit greater than 3. Here are the possibilities:
4
5
6
7
8
and
9
Out of any of these you can choose, I chose 4.
9514 1404 393
Answer:
3, or any greater digit
Step-by-step explanation:
Suppose the digit is 'd'. Then the value on the right is ...
69.436 +100d
Subtracting the value on the left, we want the difference greater than 0.
69.436 +100d - 352.934 > 0
100d -293.498 > 0 . . . . simplify
100d > 293.498 . . . . . . . add 293.498
d > 2.93498 . . . . . . . . . . divide by 100
That is d is any single digit greater than 2.9. Those digits are ...
d ∈ {3, 4, 5, 6, 7, 8, 9}
Any digit 3 or greater makes the sentence true.
A rectangular Persian carpet has a perimeter of 188 inches . The length of the carpet is 28 inches more than the width . What are the width Blank 1 and length Blank 2 of the carpet ?
Answers
The width of the carpet is 33 inches and the length is 61 inches
From the question,
We are to determine the width and length of the rectangular carpet.
Let the width be w and the length be l
From the first statement
A rectangular Persian carpet has a perimeter of 188 inches.
The perimeter of a rectangle is given by
P = 2(l +w)
∴ 188 = 2(l +w) ----------- (1)
From the second statement
The length of the carpet is 28 inches more than the width
That is,
l = 28 + w ---------- (2)
Substitute equation (2) into equation (1)
188 = 2(l +w)
We get
188 = 2(28 +w +w)
This becomes,
188 = 2 (28 +2w)
188 = 56 + 4w
Subtract 56 from both sides
188 - 56 = 56 - 56 + 4w
132 = 4w
∴ w = 132÷4
w = 33 inches
Now, substitute the value of w into equation (2) to get l
l = 28 + w
We get
l = 28 + 33
l = 61 inches
Hence, the width of the carpet is 33 inches and the length is 61 inches
Learn more here: https://brainly.com/question/4958695
The expression 15n + 2(3p) represents the amount Isaiah spent buying gasoline and snacks, where n represents the price of each gallon of gasoline and p represents the cost of each snack that he bought. Which statement is true about the amount Isaiah spent?
He spent 6p dollars on gasoline.
He spent n + p dollars in all.
He bought 15 gallons of gasoline.
He bought 6 dollars worth of snacks.
Answers
Answer:
He bought 15 gallons of gasoline.
Step-by-step explanation:
In the expression \(15n+2(3p)\)
\(n=\) price of each gallon of gasoline
\(p=\) cost of each snack bought
We can go ahead and distribute.
\(15n+6p\)
The \(6p\) means he bought 6 snacks. The \(15n\) means he bought 15 gallons of gasoline.
Answer:
c
Step-by-step explanation:
Differentiate the function with respect to x. Shot steps
Answers
Differentition of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
Given,
\(y=log_{2}x^{3}.(5x^{4}+2)\)
We have to differentiate with respect to x.
y'=xy'+yx'
\(x=log_{2}x^{3}\)
\(y=5x^{4}+2\)
\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x^{3}} .3x^{2}\)
\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)
Hence, differentiation of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)
To learn more on Differentiation click:
https://brainly.com/question/24898810
#SPJ1
Which of two of the following numbers can be expressed as a repeating decimals?
7/9 and 5/8
5/7 and 4/5
5/7 and 7/9 or
4/5 and 5/8
Side note: this is for my quiz in which I thought I understood this but realized I didn’t please give me a step by step answer so I know in the future! Thank you!!
Answers
Answer:
answer is C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
take those fraction number and divide it as it is of the answers keeps repeating then it is right
Gameron wants to measure a poster frame, but he only has a sheet of
paper that is 8 1/2 by 11 inches
a.
He lays the long edge of the paper along the long edge of the frame several times
and finds the frame is 4 papers long. How long is this in inches?
In feet?
b.
He lays the short edge of the paper along the short edge of the frame several times
and finds the frame is 3 papers wide. How long is this in inches?
In feet?
plsss help!
Answers
The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: The measure of the frame is 8.5 inches and 11 inches
a) if the frame is 4 papers long then we have the length of the frame as
11×4=44 inches (since he lays the paper along the edge of frame)
We know 1 inch= 0.0833 foot
Thus 44 inches= 3.66667 foot
b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches
∴25.5 inches= 2.125 feet
Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.
Learn more about the unitary method here:
https://brainly.com/question/22056199
#SPJ1
Johnny took a test. All the questions have equal value. He answered 38 of the questions correctly. This was 95% of the questions. How many questions were on the test?
Answers
Answer:
40 questions
Step-by-step explanation:
38=.95x where x is the total tests
38/.95 = x
40 = x
Value of V (quickly please)
Answers
The measure of v is 61 degree.
We have,
Interior angle = (v - 19) or v
Exterior angle = v + 42
Using exterior Angle Property
Exterior angle= Sum of opposite interior angle
v + 42 = v - 19 + v
v + 42 = 2v - 19
v - 2v = -19 - 42
-v = -61
v= 61
Thus, the value of v is 61.
Learn more about Exterior Angle Theorem here:
https://brainly.com/question/956912
#SPJ1
Next (1 point) A quiz consists of 20 multiple-choice questions, each with 6 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 50 %. P(pass)
Answers
The probability of passing if the minimum passing grade is 50 %. P(pass) is 0.000035 .
Given :
A quiz consists of 20 multiple - choice questions, each with 6 possible answers. For someone who makes random guesses for all of the answers .
Probability :
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Binomial problem with n = 20 and p = 1/6 , q = 5/6
50 % of 20 = 10
P ( x = 10 ) = C ( 20 , 10 ) ( 1/6 )^10 ( 5/6 )^10
= 184756 * ( 1/6 )^10 ( 5/6 )^10
= 0.000035
Learn more about the probability here:
https://brainly.com/question/11234923
#SPJ4
whats 10 x 34? please tell me
Answers
Answer:
340=10*340 calculated
Answer:
340
Step-by-step explanation:
i know math alot
Help asap please!
What is sin(B)?
5
√61
sin(B):
6 [?]√[]
B
=
![Help asap please!What is sin(B)?561sin(B):6 [?][]B=](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/GrY2cYMVEHoczhev0tTco2A8ULG1Go2U.png)
Answers
Answer:5SQRT61/
61
Step-by-step explanation:
Gia đình bác Lan hai năm liền thu hoạch được 560 tạ thóc. Năm thứ hai bác Lan thu hoạch hơn năm thứ nhất 60 tạ thóc. Hỏi mỗi năm bác Lan thu hoạch bao nhiêu kg thóc?
Answers
Answer:
năm thứ nhất: 250 tạ = 17000 kg
năm thứ hai: 310 tạ = 21080kg
Step-by-step explanation:
A glass plummet weighs 14.35 g in air 5 points 11.40 g when immersed in water, and 8.95 g when immersed in sulfuric acid. Calculate the specific gravity of the acid.
Answers
Answer:
0.865
Step-by-step explanation:
Specific gravity is a ratio of the weight of a substance to the weight of an equal volume of a substance chosen as a standard. The standard for liquid and solids is water while for gas is hydrogen.
Amount of displaced oil = 12.64 g — 9.12 g = 3.52 g
Amount of displaced water = 12.64 g — 8.57 g = 4.07 g
Specific gravity of oil = 3.52 g / 4.07 g = 0.865
Specific gravity is a measure of the amount a substance is more or less
heavier than a standard substance.
The specific gravity of the sulfuric acid is approximately 1.83Reason:
The mass of the glass plummet in the air, m = 14.35 g
Mass of the glass in water = 11.40 g
Mass of the glass in sulfuric acid = 8.95 g
Required:
The specific gravity of the acid.
Solution:
Mass of water displaced = 14.35 g - 11.40 g = 2.95 g
Mass of the acid displaced = 14.35 g - 8.95 g = 5.4 g
The volume of the sulfuric acid and the water displaced by the glass are
the same, therefore;
Mass of water = 2.95 g
Mass of equal volume of acid = 5.4 g
\(Specific \ gravity = \dfrac{Mass \ of \ acid}{Mass \ of \ equal \ volume \ of water }\)
\(Specific \ gravity \ of \ acid = \dfrac{5.4 \ g}{2.95\ g} \approx 1.83\)
The specific gravity of the sulfuric acid ≈ 1.83Learn more here:
https://brainly.com/question/17391467
Rylon Corporation manufactures Brute and Chanelle perfumes. The raw materials needed to manufacture each type of perfume can be purchased for $3 per pound. Processing 1 lb of raw material requires 1 hour of laboratory time. Each pound of processed raw material yields 3 oz of Regular Brute Perfume and 4 oz of Chanelle perfume. Regular Brute can be sold for $7/oz and Regular Chanelle for $6/oz. Rylon also has the option of further processing Regular Brute and Regular Chanelle to produce Luxury Brute, sold at $18/oz, and Luxury Chanelle, sold at $14/oz. Each ounce of Regular Brute processed further requires an additional 3 hours of laboratory time and $4 processing cost and yields 1 oz of Luxury Brute. Each ounce of Regular Chanelle processed further requires an additional 2 hours of laboratory time and $4 processing cost and yields 1 oz of Luxury Chanelle. Each year, Rylon has 6,000 hours of laboratory time available and can purchase up to 4,000 lb of raw material. Question : what is the simplex algorithm (manual table ) to find a solution to the linear programming problem given above
Answers
Convert the problem to standard form and write the initial tableau with slack variables:
Maximize
\(Z = 7*3 + 6*4 + 18*5 + 14*6 - 3*1 - 3*2 - 4*5 - 4*6\)
Subject to:
\(x1 + x2 + s1 = 4000\\x3 - (1/3)*1 + (1/3)*5 = 0\\x4 - (1/3)*2 + (1/2)*6 = 0\\x3*1 + 3*2 + 3*3 + 3*4 + 3*5 + 2*6 + s2 = 6000\)
All variables are non-negative.
Tableau
x1 x2 x3 x4 x5 x6 s1 s2 b
Z -3 -3 7 6 18 14 0 0 0
s1 1 1 0 0 0 0 1 0 4000
s2 3 3 3 3 3 2 0 1 6000
x5 0 0 1 0 1/3 0 0 0 0
x6 0 0 0 1 0 1/2 0 0 0
The basic variables are s1, s2, x5, and x6.
Step 1: Choose entering variable. The most positive coefficient in objective row is 18, corresponding to x5. x5 enters the basis.
Step 2: Choose the leaving variable. The minimum ratio of right-hand side to coefficient of x5 is 12000/(1/3) = 36000,
corresponding to s1. s1 leaves the basis.
Step 3: Perform, pivot operation to make x5 the basic variable for s1. Divide, pivot row by 1/3 and subtract appropriate multiples of the pivot row from other rows to make other entries in column 5 zero.
x1 x2 x3 x4 x5 x6 s1 s2 b
Z -3 -3 7 6 18 14 0 0 0
x5 0 0 1 0 1/3 0 0 0 0
s2 3 3 3 3 2 2/3 2/3 0 1/3 24000
x3 1 0 1/3 0 1/3 0 -1/3 0 0
x4 0 1 0 1/3 0 1/2 -1/6 0 0
The basic variables are x5, x3, x4, and s2.
Step 4: Choose the entering variable. The most positive coefficient in the objective row is 7, corresponding to x3. x3 enters the basis.
Step 5: Determine the leaving variable. The right-hand side's minimum ratio to the coefficient of x3 is 0, indicating that x3 can be increased without bound. This implies that the optimal solution is unbounded and that there is no finite optimal value for the problem.
As a result, the simplex algorithm demonstrates that the given linear programming problem lacks a feasible solution. This means that it is not possible to meet all of the constraints at the same time.
For more question on simplex algorithm click on
https://brainly.com/question/29554333
#SPJ4
3 equivalent ratios for 1/10
Answers
Answer:
So just as a fraction of 3/30 can be simplified to 1/10, a ratio of 3:30 (or 4:40, 5:50, 6:60 and so on) can be simplified to 1:10.
Step-by-step explanation:
Answer:
1. 2:20
2. 3:30
3. 4:40
Step-by-step explanation:
1/10 can be written as a ratio like so - 1:10
Now we just have to change both numbers by multiplying or dividing by the same amount to get 3 equivalent ratios.
We can multiply both numbers by 2 to get - 2:20
Or we can multiply both numbers by 3 to get - 3:30
And, we can also multiply both numbers by 4 to get - 4:40
These are 3 possibilities of many possibilities
Hope this Helps!!! :)
Let me know if this answer was perfect or if I should change it in the comments!!!