Five sandwiches and four drinks cost £20. Two sandwiches and five drinks cost £8. Find the cost of one sandwich.

Answer: Get a snack.

For the identity equation, you can set a = 3 and b = 5. For an inconsistent equation, you can set a = 2 and b = 5. In an equation with one solution, you can set a = 3 and b = 4. In an equation with a solution of x = 3, you can set a = 3 and b = 2.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

Consider the equation 3x+5=ax+b.

To create an identity equation, you can set a = 3 and b = 5. This will result in the equation 3x + 5 = 3x + 5, which is an identity equation because it is always true for any value of x.

To create an inconsistent equation, you can set a = 2 and b = 5. This will result in the equation 3x + 5 = 2x + 5, which is an inconsistent equation because it is never true for any value of x.

To create an equation with one solution, you can set a = 3 and b = 4. This will result in the equation 3x + 5 = 3x + 4, which has a solution of x = -1.

To create an equation with a solution of x = 3, you can set a = 3 and b = 2. This will result in the equation 3x + 5 = 3x + 2, which has a solution of x = 3.

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Answer:

\(a_{n}\) = n - 7

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence

d = - 5 - (- 6) = - 4 - (- 5) = - 3 - (- 4) = 1

This indicates the sequence is arithmetic with nth term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 6 and d = 1 , then

\(a_{n}\) = - 6 + 1 (n - 1) = - 6 + n - 1 = n - 7

Therefore, to determine if a linear transformation is an isomorphism, we can check if the determinant is non-zero or if the kernel is only the zero vector.

An isomorphism is a bijective linear transformation, that is both one-to-one and onto. The determinant of a linear transformation can help determine if it is an isomorphism. If the determinant is non-zero, the linear transformation is invertible, and therefore an isomorphism. A linear transformation is an isomorphism if and only if its determinant is nonzero.
Additionally, another way to check if a linear transformation is an isomorphism is to check if the kernel, which is the set of all vectors that get mapped to zero, is equal to only the zero vector. If the kernel is only the zero vector, then the linear transformation is one-to-one and therefore an isomorphism.

Therefore, to determine if a linear transformation is an isomorphism, we can check if the determinant is non-zero or if the kernel is only the zero vector.

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The price vectors a. p₁ = 3 and p₂ = 2, Mary will consume only good 1.

Here we have the Utility function as

U(x₁ , x₂) = 3x₁ + x₂

From the given utility function we can clearly see that these goods are substitutes for each other

Now,

δU/δx₁ = 3

δU/δx₂ = 1

Hence we get the Marginal Rate of Substitution or MRS

\(=- \frac{\delta U/ \delta x_1 }{\delta U/ \delta x_2}\)

= -3

The MRS signifies that for every additional unit of 1, Mary is willing to give up 3 units of good 2

|MRS| = 3

For Mary to only consume good 1, |MRS| > p₁/p₂

Hence here we get the p/p ratio for the 4 price vectors to be

a. 3/2 = 1.5

b. 10/3 = 3.33

c. 4

d. 15.4 = 3.75

Hence we can clearly say that for the price vectors p₁ = 3 and p₂ = 2, Mary will consume only good 1.

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Answer:153000394836295938

Step-by-step explanation:

;)

Answer:

x + 3200 greater than or equal to 10000

Step-by-step explanation:

you need 6800 more

The probability is \(\frac{11}{30}\) .

What is the probability?

 Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how likely occurrences are to occur, Probability has been introduced in mathematics.

F= The probability that the dice land on different numbers.

F=(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)

F = \(\frac{30}{36}= \frac{5}{6}\)

E= The event that at least one lands on 6.

E=(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

E= \(\frac{11}{36}\)

What is the probability of E, when given that F has occurred?

P= \(\frac{P(EF)}{P(F)}\) = \(\frac{1-P(EF)}{P(F)}\)

=> P = \(\frac{\frac{11}{36} }{\frac{5}{6} }\) = \(\frac{11}{30}\)

Hence the Probability is \(\frac{11}{30}\) .

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Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.

Based on the information you provided, we can calculate Gary's deductible medical expenses using the following terms:

1. Qualified medical expenses: $5,200
2. AGI (Adjusted Gross Income): $50,000

According to the IRS, taxpayers can deduct qualified medical expenses that exceed 7.5% of their AGI for the tax year 2021. Here's the step-by-step calculation for Gary's deductible medical expenses:

Step 1: Calculate 7.5% of Gary's AGI
7.5% x $50,000 = $3,750

Step 2: Subtract the 7.5% AGI threshold from Gary's qualified medical expenses
$5,200 - $3,750 = $1,450

Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.

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Answer:

The answer is A

Step-by-step explanation:

Answer:

4y(7y - 6)

Step-by-step explanation:

Answer:

57 here ahgy allsoe fhal

Answer:

1330.5

Step-by-step explanation:

The equation for volume of a cylinder is:

\(V=r^{2} h\)

Now, we have to input our values

\(V = 5.5^{2} (14)\)

And solve!

\(5.5^{2} = 30.25\)

30.25 × 14 = 1330.46

Finally we have to round to the 1 decimal place

1330.46 = 1330.5

(Wondering why I used 5.5 instead of 11 for the radius? Well, the radius of a circle/cylinder is from the center point to the end so 11/2 = 5.5)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

In quadrilateral ABCD we have

AC = AD

and AB being the bisector of ∠A.

Now, in ΔABC and ΔABD,

AC = AD

[Given]

AB = AB

[Common]

∠CAB = ∠DAB [∴ AB bisects ∠CAD]

∴ Using SAS criteria, we have

ΔABC ≌ ΔABD.

∴ Corresponding parts of congruent triangles (c.p.c.t) are equal.

∴ BC = BD.

The most appropriate procedure from the given options that would improve the reliability and validity of grading short essay tests, thus addressing the complaint of sensitivity to bias and variability in grading, is: D) Using a scoring rubric.

A scoring rubric is a predefined set of criteria or guidelines that outlines the specific expectations and standards for evaluating student responses. By using a scoring rubric, the grading process becomes more objective, consistent, and transparent, thereby reducing bias and variability in grading.

A scoring rubric provides a structured framework that allows graders to assess and assign scores based on predetermined criteria, such as content knowledge, organization, clarity, coherence, and grammar. It ensures that all essays are evaluated using the same standards and eliminates subjective judgment as much as possible.

Administering more pretests (option A) may provide additional practice or feedback to students but does not directly address the issue of bias and variability in grading.

Grading on the curve (option B) adjusts grades based on the performance of other students in the class, which does not directly address bias or variability in grading. It can introduce its own set of issues and may not reflect the true quality of each individual student's work.

Implementing a contract system (option C) refers to a negotiated agreement between students and instructors regarding grading criteria, which may help clarify expectations but does not inherently address bias or variability.

Therefore, using a scoring rubric (option D) is the most appropriate procedure to improve the reliability and validity of grading short essay tests while minimizing sensitivity to bias and variability in grading.

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In business calculus, the term "functions" refers to mathematical relationships that associate inputs (typically denoted as x) with corresponding outputs (typically denoted as y). Functions can represent various aspects of business operations, such as revenue, cost, profit, demand, and supply.

The concept of "limits" in calculus deals with the behavior of a function as the input approaches a particular value. It determines the value that the function approaches or tends to as the input gets arbitrarily close to a specified value. Limits are essential for analyzing the behavior of functions near certain points, understanding rates of change, and evaluating derivatives and integrals.

"Continuity" of a function refers to its smooth and unbroken nature, without any abrupt jumps, holes, or vertical asymptotes. A function is continuous if its graph can be drawn without lifting the pen from the paper. Continuity ensures that small changes in the input correspond to small changes in the output, which is crucial for reliable analysis and prediction.

For example, consider the function f(x) = 2x + 1. This linear function represents a business scenario where x represents the number of units sold, and f(x) represents the total revenue generated. The limit of f(x) as x approaches 2 is 5, indicating that as the number of units sold approaches 2, the total revenue approaches $5. Since f(x) = 2x + 1 is a linear function, it is continuous across its entire domain.

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Answer:

the second option/b  

Step-by-step explanation:

because -2*4 equals -8

Answer:The second option beacue -2*4 equal -8

Step-by-step explanation:

To determine the number of twenty-dollar bills that would have a value of $(180x - 160), we divide the total value by the value of a single twenty-dollar bill, which is $20.

Let's set up the equation:

Number of twenty-dollar bills = Total value / Value of a twenty-dollar bill

Number of twenty-dollar bills = (180x - 160) / 20

To simplify the expression, we divide both the numerator and the denominator by 20:

Number of twenty-dollar bills = (9x - 8)

Therefore, the number of twenty-dollar bills required to have a value of $(180x - 160) is given by the expression (9x - 8).

It's important to note that the given expression assumes that the value $(180x - 160) is a multiple of $20, as we are calculating the number of twenty-dollar bills. If the value is not a multiple of $20, the answer would be a fractional or decimal value, indicating that a fraction of a twenty-dollar bill is needed.

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The 99% confidence interval estimate for the difference between the percentages of married elderly men and women is (0.0741, 0.2659).

To determine a 99% confidence interval estimate for the difference between the percentages of elderly men and women who were married, we can use the formula for the confidence interval of two proportions:

CI = (p1 - p2) ± Z * √[(p1 * (1-p1) / n1) + (p2 * (1-p2) / n2)]

Where p1 and p2 are the proportions of married elderly men and women, n1 and n2 are the sample sizes, and Z is the Z-score for a 99% confidence level (which is 2.576).

First, convert the percentages to proportions:
p1 = 0.65 (65% married elderly men)
p2 = 0.48 (48% married elderly women)
n1 = 300 (sample size of elderly men)
n2 = 400 (sample size of elderly women)

Now, plug the values into the formula:

CI = (0.65 - 0.48) ± 2.576 * √[((0.65 * 0.35) / 300) + ((0.48 * 0.52) / 400)]
CI = 0.17 ± 2.576 * √[(0.2275 / 300) + (0.2496 / 400)]
CI = 0.17 ± 2.576 * √(0.00075833 + 0.000624)
CI = 0.17 ± 2.576 * √(0.00138233)
CI = 0.17 ± 2.576 * 0.0372
CI = 0.17 ± 0.0959

Thus, the 99% confidence interval estimate for the difference between the percentages of married elderly men and women is (0.0741, 0.2659).

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Answer:

There is no graph.

Step-by-step explanation:

Sorry, can't help if you don't have any work shown.

Answer:

B and D

Step-by-step explanation:

A) The vertex form of the function is f(x) = (x +3)^2 -13, not the one shown.

B) The vertex is (-3, -13). True

C) The axis of symmetry is x = -3, not the one given.

D) The graph increases for x > -3. True

E) The function crosses the x-axis at about x=-6.6 and x=0.6.

Answer:

(x,y) = (.5x,5y)

Step-by-step explanation:

Answer:

To solve the polynomial (g^2 + 9g + 18 = 0) using the X or Box method, you need to factor the polynomial into two binomials. To do this, you need to find two numbers that multiply to 18 and add up to 9. The two numbers are 6 and 3, so the polynomial can be factored as:

g^2 + 9g + 18 = (g + 6)(g + 3) = 0

To find the solutions, you set each factor equal to 0 and solve for g:

g + 6 = 0, so g = -6

g + 3 = 0, so g = -3

The solutions to the polynomial are g = -6 and g = -3.

Step-by-step explanation:

Answer:

0.043

Step-by-step explanation:

I hope this helps you! Let me know if you have any questions! :)

Answer:

LIke ummmm

Step-by-step explanation:

soo like maybe umm like umm  she has 10 dollars worth of nickles and 1.60 dollars worth of quarters

Answer:

Emma has $50.40 worth of quarters

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

Step-by-step explanation:

Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:

(9.11) + (6.232)

The sum of 9.11 and 6.232 is 15.342.

(7.4023) x (19)

The product of 7.4023 and 19 is 140.844.

(9.162) - (2.39)

The difference between 9.162 and 2.39 is 6.772.

(0.00482) x (213)

The product of 0.00482 and 213 is 1.02786.

(8.73) / (5.198)

The division of 8.73 by 5.198 is 1.67920734.

(7644) / (0.13)

The division of 7644 by 0.13 is 58,800.

Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.

The number of boys that can count is 42.

The probability that any pupil is a boy and can count is 0.42.

The probability a boy can count is 0.79

Probability calculates the chances that an event would happen. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that a student can count or not count is between 1 and 1. If the student can count, a probability of 1 is given and if the student cannot count, a probability of 0 is given.  

The number of boys that can count is 42.

The probability that any pupil is a boy and can count = number of boys that can count / total number of pupils

= 42 / 100

= 0.42

The probability a boy can count = number of boys that can count / total number of boys

42 / 53 = 0.79

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Answer:

13.7

Step-by-step explanation:

fill the numbers in using pythagorean theory

\(a^{2} + b^{2} = c^{2}\)

(the hypotenuse has to be \(c^{2}\))

\(9.2^{2} + b^{2} = 16.5^{2}\)

\(84.64 + b^{2} = 272.25\)

\(b^{2} = 187.61\)

(to get \(b\) alone you have to find the square root of both sides)

\(b = 13.69707\)

round that and you get

\(b = 13.7\)!