the cost of 5kg of potatoes is 3.60£ the cost of 1/2 kg of carrots is 32p. Work out the cost of 12kg of potatoes and 11/2 of carrots
Answers
Answer:
$8.88
Step-by-step explanation:
Here,
Cost of potatoes per kg = 0.72
Cost of 11 kg of potatoes = 0.72×12 = $8.64
Cost of the carrots per kg = 0.16
Cost of 1.5 kg carrot = 0.24
Total cost of the 11 kg of potatoes and 1½ kg = 8.64 + 0.24= $8.88.
Thus, the required total cost of the 11 kg of potatoes and 1½ kg of carrots is $8.88.
Related Questions
(First-price procurement auction) We are used to auctions in which there is a single seller facing many potential buyers (i.e., the bidders). However, in many situations we have a single buyer who wants to buy a good (or service) from one of many sellers. In these situations, the buyer may want to run an auction. These are called procurement (or reverse) auctions and are very common both in the public and private world. In a procurement auction, sellers bid for the price at which they are willing to sell their item (or service). In this context, it is natural to talk about a bidder's cost (to provide a service or good) instead of a bidder's valuation. Let's consider a concrete example. Suppose your parents want to remodel their kitchen. They call two contractors (A and B) and ask them for quotes. Your parents tell them that they are going to run a sealed-bid first-price auction. That is, the contractors should email them their quotes, the contractor with the lowest quote wins, and gets paid her quote. Suppose that the contractors are symmetric and have private costs, and that their costs are independently drawn from a Uniform [0,1] distribution. In this simple 2-bidder procurement auction, the bidding strategy β ∗
(c)= 2
1
(1+c) is a (symmetric) Bayesian Nash Equilibrium. That is, in equilibrium, it is optimal for a contractor who anticipates a cost of completing the project of c to submit a quote equal to 2
1
(1+c) (a) If bidders follow the equilibrium bidding strategy, do they bid above or below their cost? How do you interpret the difference between a contractor's quote and their cost? (b) Write down the expression for the probability of contractor A winning when she submits a quote equal to b and contractor B submits a quote according to the equilibrium bidding function β ∗
(⋅). (c) Write down the expression for contractor A's expected payoff when she has a cost of completing the project equal to c and submits a quote equal to b, and her rival bids according to the equilibrium strategy β ∗
(⋅). (d) Show that the bidding strategy β ∗
(c)= 2
1
(1+c) is in fact a (symmetric) Bayesian Nash Equilibrium.
Answers
(a) In the equilibrium bidding strategy, bidders bid below their cost. The difference between a contractor's quote and their cost represents their strategic behavior in the auction.
By bidding below their cost, contractors try to increase their chances of winning the auction and securing the project.
This strategy allows them to potentially earn a higher profit if they win the auction and their cost turns out to be lower than their bid.
(b) The probability of contractor A winning when she submits a quote equal to b and contractor B submits a quote according to the equilibrium bidding function β(⋅) can be calculated as follows:
P(A wins) = P(A's bid ≤ B's bid)
Since the contractors' costs are independently drawn from a Uniform [0,1] distribution, the probability can be expressed as:
P(A wins) = P(A's cost + A's bid ≤ B's cost + B's bid)
Given that A's bid is b and B's bid is β∗(B's cost), the probability becomes:
P(A wins) = P(A's cost + b ≤ B's cost + β∗(B's cost))
(c) Contractor A's expected payoff when she has a cost of completing the project equal to c and submits a quote equal to b, while her rival bids according to the equilibrium strategy βx(⋅), can be calculated as follows:
Payoff(A) = P(A wins) × (b - c)
Using the probability expression from part (b), the expected payoff can be written as:
Payoff(A) = P(A's cost + b ≤ B's cost + βx(B's cost) × (b - c)
(d) To show that the bidding strategy βx(c) = 2/(1+c) is a (symmetric) Bayesian Nash Equilibrium, we need to verify two conditions:
(i) the strategy is optimal for a contractor given the strategies of other bidders, and
(ii) no bidder has an incentive to deviate from the equilibrium strategy.
(i) Optimality: Given the bidding strategy βx(c) = 2/(1+c), a bidder's expected payoff is maximized when they follow this strategy. This can be shown by calculating the expected payoff for a bidder who anticipates a cost of completing the project as c and submits a quote equal to βx(c). The expected payoff is maximized when the bidder follows the equilibrium strategy.
(ii) No incentive to deviate: Suppose a bidder deviates from the equilibrium strategy and chooses a different bidding strategy. In this case, the bidder's expected payoff would be lower than or equal to the expected payoff obtained by following the equilibrium strategy. Therefore, no bidder has an incentive to deviate from the equilibrium strategy, indicating that βx(c) = 2/(1+c) is a Bayesian Nash Equilibrium.
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If you flip, slide, and then spin the preimage of a shape in the coordinate plane, what sequence of transformations have you performed?
A. reflection, rotation, rotation
B. reflection, translation, reflection
C. reflection, translation, translation
D. reflection, translation, rotation
Answers
Answer:
D
-by-step explanation:
all other is incorrect
What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale.
*
Captionless Image
34311 m^2
18918 m^2
15394 m^2
28742 m^2
Answers
Answer:
π(70)(√(70^2 + 50^2)) = π(700√74) m^3
= 18,918 m^3
ANSWER FAST PLZ!! what does it look like when you take the cumulative exam? Can they see your screen or if you are on your phone? How many questions are there? Plz help, I will help you with whatever you need in return!
Answers
shelby was asked to determine the number of packages that can be wrapped with 12 feet of ribbon if it takes a half of a foot to wrap one package.
Answers
The number of packages that can be wrapped with 12 feet of ribbon is 24.
Explain the term unitary method?The unitary approach is a strategy for problem-solving that involves first obtaining the value of a specific unit, then multiplying that value to determine the required value.The unitary approach includes determining the value of a single unit, from which we can calculate the values of the appropriate number of units.For the stated question.
Total length of the ribbon = 12 feet.
Ribbon required to wrap a one box = 1/2 foot.
Number of boxes = Total length / required ribbon for one box
Number of boxes = 12/ (1/2)
Number of boxes = 12 x 2
Number of boxes = 24
Thus, the number of packages that can be wrapped with 12 feet of ribbon is 24.
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Which of the ratios below has a unit rate of 12? Select all that apply. A) 20:8 B) 36:3 C) 120:10 D) 5:80 E) 96:8
Answers
Answer:
D
Step-by-step explanation:
120:10
Divide each by 12
= 12:1
= 12/1
=12
PLEASEE ANSWERR ! if your able to answer I can help with any social studies/Ela questions
Answers
A right circular cylinder has a height of 20 1/2 ft and a diameter 1 1/5 times its height.
What is the volume of the cylinder?
Enter your answer as a decimal in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
ft3
Answers
The volume of the cylnder is 9,728.5 ft³
How to find the volume of the cylinder?For a cylinder of radius R and height H, the volume is given by:
V = pi*R^2*H
Where pi = 3.14
Here we know that the height is.
H = (20 + 1/2) ft = 20.5 ft
And the diameter is (1 + 1/5) times the height, then:
D = (1 + 1/5)*(20 + 1/2) ft = (1.2)*(20.5)ft = 24.6ft
And the radius is half of that, so:
R = 12.3ft
Then the volume is:
V = 3.14*(12.3ft)^2*20.5ft = 9,728.5 ft³
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The diagram below shows a triangle. MC is perpendicular to AB AB = c AM = x MB=c-x By applying Pythagoras' Theorem to triangles AMC and CMB Show c²-2cx = a² - b²
Answers
please mark me as a brainliest hope this would help u
Roy's car gets an average gas mileage of 29 mi/gal. Roy starts his trip with 12 gallons of gas. After 140 miles, about how many gallons are left in Roy's tank? *
a.6
b.7
c.9
d.8
Answers
2. 18 = 4a + 10Solve equations
Answers
a=2
Explanation
\(18=4a+10\)Step 1
subtract 10 in both sides
\(\begin{gathered} 18=4a+10 \\ 18-10=4a+10-10 \\ 8=4a \end{gathered}\)Step 2
divide each side by 4
\(\begin{gathered} 8=4a \\ \frac{8}{4}=\frac{4a}{4} \\ 2=a \\ a=2 \end{gathered}\)Suppose students are independent from one another. 63% of students are using Mr. Martin's new social media app, Mar-tin-stagram. 2 students are randomly selected. What is the probability that both of them use it? (Write answer as a decimal. Do not round)
Answers
Answer:
\(P(X=2) =0.3906\)
Step-by-step explanation:
Proportion of students using the app, p = 63/100 = 0.63
Proportion of students not using the app, q = 1 - 0.63 = 0.37
Sample size, n = 2
Probability that the two students are using the app.
\(P(X = r) = nCr p^{n} q^{n-r} \\P(X = 2) = 2C2 *0.63^{2} *0.37^{2-2}\\P(X = 2) = 2C2 *0.63^{2} *0.37^{0}\\P(X=2) = 0.63^{2} \\P(X=2) =0.3906\)
HELP i’m begging you dude pls multiple questions
Answers
What equation results from completing the square and then factoring? x2 + 4x = 5A.(x + 2)2 = 7B.(x + 2)2 = 1C.(x + 2)2 = 9D.(x + 2)2 = 3
Answers
Step 1
Given; What equation results from completing the square and then factoring? x2 + 4x = 5
A.(x + 2)2 = 7
B.(x + 2)2 = 1
C.(x + 2)2 = 9
D.(x + 2)2 = 3
are the column vectors of this matrix linearly independent or linearly dependent? showall explanations or computations.
Answers
The column vectors of the given matrix is linearly dependent as determinant is equal to zero.
To find the column vectors of the matrix is linearly independent or linearly dependent.
Value of the determinant is equal to zero it implies linearly dependent.
And if determinant is not zero it is linearly independent.
Let 'A' be the given matrix is:
A = \(\left[\begin{array}{ccc}1&0&5\\-2&1&-6\\0&2&8\end{array}\right]\)
Determinant of A
= 1 ( 8 - (-12)) - 0( -16 -0 ) + 5 (-4 -0 )
= 1 (20 ) - 0 -20
= 20 -20
= 0
Here det(A) = 0
Therefore, the column vectors of the matrix is linearly dependent as det(A) = 0.
The above question is incomplete, the complete question is:
Are the column vectors of this matrix linearly independent or linearly dependent? show all explanations or computations.
\(\left[\begin{array}{ccc}1&0&5\\-2&1&-6\\0&2&8\end{array}\right]\)
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Someone please help me understand this question. Its timed and Im really confused and cant afford to miss questions.
Answers
Answer:
B For each x increase of 1, the y increases by a common factor of 3
Step-by-step explanation:
so it means that y is adding 3 every time x adds 1
Answer:D
The last one explanation of that graphic line is correct answer.
Calculate the TOTAL amount 1 that Mia has to pay back if she takes the loan. Why, do you think, do banks 2 and other financial institutions offer cash loans to people that did not apply for it? Wh: fitable2 Sh
Answers
1. We should understand that question is missing, but, the amount 1 that Mia has to pay back if she takes the loan will be Loan amount plus the interest on it.
2. The banks 2 and other financial institutions did offer cash loans to people that did not apply for it because they knew that had favorable credit worthiness, that is, they repay loan as at when due.
What Is Creditworthiness of an entity?Creditworthiness is how a lender determines whether you will default on your debt obligations or whether you are creditworthy. Creditors consider your creditworthiness before approving new credit for you.
Several factors influence it, including your repayment history and credit score. When determining the likelihood of default, some lending institutions consider available assets as well as the number of liabilities you have.
The credit report shows how much debt you have, as well as the high balances, credit limits, and the current balance of each account. It will also flag any relevant information for the potential lender, such as past due amounts, defaults, bankruptcies, and collection items.
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Complete the square to solve the equation below. *
x2 – 8x + 10 = 0
Answers
x2 – 8x + 10 = 0
Factorise the following
1.1. 6a-21
1.2.
\(6 {x}^{2} + 9x\)
Answers
Answer:
1.1. 3(2a-7)
1.2. 3x(2x+3)
Step-by-step explanation:
Put the common factor on the outside of the parentheses.
1.1. 6a-21
The lowest common factor for 6a and -21 is 3.
3(2a-7)
1.2. \(6x^{2} +9x\)
The lowest common factor for \(6x^{2}\) and 9x is 3x.
3x(2x+3)
12. 3x(2x+3)
Hope it helps
a rectangular garden is to be constructed so that the width is 100 ft. what are the possible values for the length if at most 800 ft of fencing is to be used
Answers
The possible dimensions for the length (L) of the rectangular garden are any values less than or equal to 300 ft.
Let's denote the length of the rectangular garden as L.
To find the possible values for the length when the width is 100 ft and at most 800 ft of fencing is used, we can set up an inequality based on the perimeter of the rectangular garden.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 × (Length + Width)
In this case, the width is fixed at 100 ft, and the total amount of fencing available is at most 800 ft. Thus, we can write the inequality:
2 × (L + 100) ≤ 800
Simplifying the inequality:
L + 100 ≤ 400
Subtracting 100 from both sides:
L ≤ 300
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In order to construct a rectangular garden with a width of 100 ft using at most 800 ft of fencing, the possible values for the length can range from 0 to 300 ft.
Let's assume the length of the rectangular garden is denoted by L. The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. In this case, the width is fixed at 100 ft. Therefore, the perimeter equation becomes 800 = 2L + 2(100). Simplifying this equation, we have 800 = 2L + 200, which can be further simplified to 2L = 800 - 200 = 600. Dividing both sides of the equation by 2, we get L = 300. So the maximum possible length is 300 ft.
However, we need to consider the possibility of using less than 800 ft of fencing. Since we are looking for the possible values for the length, we can find the minimum length by considering the scenario where all the available fencing is used efficiently. In this case, we would have two equal sides and two widths, resulting in a square-shaped garden. Since the width is 100 ft, the maximum perimeter using 800 ft of fencing can be obtained by using the entire length of 800 ft, which means the length would also be 800 ft. Therefore, the minimum length is 0 ft, which corresponds to having no garden at all.
In conclusion, the possible values for the length of the rectangular garden, given a width of 100 ft and at most 800 ft of fencing, range from 0 to 300 ft.
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Please help as soon as possible
Answers
Answer:
$5.40
Step-by-step explanation:
A tax is a compulsory sum levied by the government or an agency of the government on goods and services. Taxes increase the price of good. The items bought would increase by 8%
Tax paid by Dave = 0.08 x $15 = $1.2
total price paid by Dave = 1.2 + $15 = $16.2
Tax paid by Mel = 0.08 x $20 = $1.6
total price paid by Mel = $20 + $1.6 = $21.60
Difference in prices
21.6 -16.2 = $5.40
PLEASE HELP ASAP!!!!!!!!!!
Answers
Answer:
It probably is a rhombus.
Step-by-step explanation:
Show that , if X∼F(v
1
,v
2
), then 1/X∼F(v
2
,v
1
)
Answers
If X follows an F-distribution with parameters v₁ and v₂, then 1/X follows an F-distribution with parameters v₂ and v₁, based on the properties of the F-distribution and transformation method.
To show that if X follows an F-distribution with parameters v₁ and v₂, then 1/X follows an F-distribution with parameters v₂ and v₁, we can use the properties of the F-distribution and the transformation method.
Let Y = 1/X. To find the distribution of Y, we need to compute its cumulative distribution function (CDF) and compare it to the CDF of an F-distribution with parameters v₂ and v₁.
The CDF of Y is given by P(Y ≤ y) = P(1/X ≤ y) = P(X ≥ 1/y).
Using the properties of the F-distribution, we know that P(X ≥ x) = 1 - P(X < x) = 1 - F(x; v₁, v₂), where F(x; v₁, v₂) is the CDF of the F-distribution with parameters v₁ and v₂.
Therefore, P(X ≥ 1/y) = 1 - F(1/y; v₁, v₂).
Comparing this with the CDF of the F-distribution with parameters v₂ and v₁, we have P(Y ≤ y) = 1 - F(1/y; v₁, v₂), which matches the CDF of an F-distribution with parameters v₂ and v₁.
Hence, we have shown that if X follows an F-distribution with parameters v₁ and v₂, then 1/X follows an F-distribution with parameters v₂ and v₁.
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What is the answer i need answers now I'm am going to fail
pls explain to
Answers
Answer:
Yes, the runners number of strides will fit evenly into the length of the race.
Step-by-step explanation:
The bridge is 138,435 feet. You would divide this to get 46,145 as a whole number.
Answer:
Step-by-step explanation:
You are dividing 138435 by 3.
The quotient would be 46145 with no remainder. So the answer would be yes.
A 2nd way to do this is to see if 183435 is a multiple of 3.
Hope this helps!
Have a great day!
-(3z)² how do I simplify it because the question tells me to simply -(3z)²
Answers
Answer:
-9z²
Step-by-step explanation:
-(3z)²
-(3z * 3z)
-(9z)
-9z²
Best of Luck!
20 POINTS
what is the vertex of this quadratic function
Answers
Answer:
(-4,-9)
Step-by-step explanation:
vertex form: y=a(x-h)^2+k
hk=vertex of x and y
inside parentheses=horizontal (opposite signs)
that’s why it’s -4 instead of 4 for h (x) while -9 stays the same since it’s not inside the parentheses
asap answer dont get it wrong
Answers
Answer:
B
Step-by-step explanation:
The parabola minimum is 3
The top quadratic minimum is 2 so
g(x) minimum is greater
What’s the square route of 9
Answers
Answer:3
Step-by-step explanation:
Answer:
The square root of 9 is 3.
Step-by-step explanation:
The sign, √, represents the square root of a number.
√9 = 3
We can check this by multiplying 3 with itself.
3 × 3 = 9
Kite E F G H is inscribed in a rectangle. Points F and H are midpoints of sides of the rectangle, and creates a side length of x. Lines are drawn from point F to point H and from point E to point G and intersect at a point. Line E G is parallel to a rectangle side. The distance from point F to the intersection is 2, and the distance from H to the intersection is 5. Kite EFGH is inscribed in a rectangle where F and H are midpoints of parallel sides. The area of EFGH is 35 square units. What is the value of x? 4 units 5 units 6 units 7 units
Answers
Answer:
5 units
Step-by-step explanation:
Let point O be the point of intersection of the kite diagonals.
|OF| = 2, |OH| = 5
|FH| = |OF| + |OH| = 2 + 5 = 7
FH and EG are the diagonals of the kite. Hence the area of thee kite is:
Area of kite EFGH = (FH * EG) / 2
Substituting:
35 = (7 * |EG|) / 2
|EG| * 7 = 70
|EG| = 10 units
The longer diagonal of a kite bisects the shorter one, therefore |GO| = |EO| = 10 / 2 = 5 units
x = |GO| = |EO| = 5 units
Answer:
5 units
Step-by-step explanation:
just took the test
Which of the following problem types can always be solved using the law of
cosines or sines? Check all that apply.
A. SSS
B. ASA
C. SAA
D. SAS
E. SSA
F. AAA
Answers
Answer:
A, C, D, E, F