At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of
silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.
Here is a system of equations that represent the constraints in the situation.
x + y = 4.25
16.90x + 4y = 36.35
1. What does the solution to the system represent?
+
2. Find the solution to the system of equations. Explain or show your reasoning.
Please help me i don’t understand what to do

The slope of the function is $400.

The slope of a function is the rate of change of the dependent variable with respect to the independent variable. The equation that represents a function is: y = mx + b

Where:

Looking at the total money raised, the amount of money increases by 400. This is the slope.

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The cost of each item, obtained from the equation for the sum of the costs of the item are;

A brush costs $3.5

A sketchbook costs $10.5

A paint set costs $21

An equation is a mathematical statement that expresses equivalence between two expression joined by an '=' sign.

The amount Camille brought to the art supply = $39.50

The cost of the brush = (1/3) × The cost of the sketchbook

Cost of the sketchbook = (1/2) × Cost of the paint set

Amunt Camille had left over = $4.50

The cost of the items Camille bought = $39.50 - $4.5 = $35

Let x represent the cost of the brush, let y represent the cost of the sketchbook and let z represent the cost of the paint set

Therefore, we get the following equation; x + y + z = 35

x = (1/3)·y

y = (1/2)·z

Which indicates;

x = (1/3) × (1/2)·z = (1/6)·z

From which we get; (1/6)·z + (1/2)·z + z = 35

(5/3)·z = 3

z = 35 × 3/5 = 21

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Satisfactory internal control reduces the probability of errors or frauds in the accounts.

What functions may a strong internal control system perform?

Why are internal controls necessary?

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Answer:

none is don't like her music

Step-by-step explanation:

he music is dominc and evil so that is not good to listen to

Answer:

I don't like any of her songs to be honest

The value of x from the given right triangle is 10 units.

Consider triangle ABC and triangle BDC.

Here, ∠ABC=∠BDC=90°

∠BCD=∠BCA (Reflexive angle)

By AA similarity ΔABC is similar to ΔBDC

We know that, when two triangles are similar their corresponding sides will be in ratio.

Now, x/20 = 5/x

x²=100

x=√100

x=10 units

Therefore, the value of x from the given right triangle is 10 units.

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Answer:

5.5217

4.9475

Step-by-step explanation:

Given that :

Mean (m) = 5.3

Standard deviation (s) = 0.3

Score

Minimum redbloodcell in top 23% count

Z = (x - m) / s

Z at 0.23 = 0.739

P(z> x) = 0.23 ; Z = 0.739

0.739 = (x - 5.3) / 0.3

0.739 * 0.3 = x - 5.3

0.2217 = x - 5.3

x = 0.2217 + 5.3

x = 5.5217

(b) What is the maximum red blood cell count that can be in the bottom 12​% of​ counts?

Z = (x - m) / s

P(z< x) = 0.12 ; Z = - 1.175 ( Z probability

-1.175 = (x - 5.3) / 0.3

-1.175 * 0.3 = x - 5.3

- 0.3525 = x - 5.3

x = - 0.352 + 5.3

x = 4.9475

Given:-

A roller coaster drops 112 feet before going back up 52 feet.

To find an additional expression for the situation. Then find the sum.

So here dropping down is considered as negative and back up is considered as positive.

So we get,

So the sum is,

So the required solution is -60.



If a red ball is drawn at random from one of the urns, there is a higher probability (2/3) or 0.667 that it came from Urn A rather than Urn B. This suggests that Urn A is more likely to be the source of the red ball.

To calculate the probability that Urn A was chosen given that a red ball was drawn, we can use Bayes' theorem.

Let's denote the events:

A = Urn A was chosen

B = Urn B was chosen

R = A red ball was drawn

We want to find P(A|R), the probability that Urn A was chosen given that a red ball was drawn.

According to Bayes' theorem:

P(A|R) = (P(R|A) * P(A)) / P(R)

P(R|A) is the probability of drawing a red ball given that Urn A was chosen. Since Urn A has four red balls and four black balls, the probability of drawing a red ball from Urn A is 4/8 = 1/2.

P(A) is the prior probability of choosing Urn A, which is 0.5 since there is an equal chance of selecting either Urn A or B.

P(R) is the overall probability of drawing a red ball, which can be calculated by considering all possible scenarios:

P(R) = P(R|A) * P(A) + P(R|B) * P(B)

P(R|B) is the probability of drawing a red ball given that Urn B was chosen. Since Urn B has two red balls and six black balls, the probability of drawing a red ball from Urn B is 2/8 = 1/4.

P(B) is the prior probability of choosing Urn B, which is also 0.5.

Substituting the values into the equation:

P(R) = (1/2) * (1/2) + (1/4) * (1/2) = 3/8

Now we can calculate P(A|R) using Bayes' theorem:

P(A|R) = (P(R|A) * P(A)) / P(R) = (1/2 * 1/2) / (3/8) = 4/6 = 2/3

Therefore, the probability that Urn A was chosen given that a red ball was drawn is 2/3 or approximately 0.667.

In conclusion, if a red ball is drawn at random from one of the urns, there is a higher probability (2/3) that it came from Urn A rather than Urn B. This suggests that Urn A is more likely to be the source of the red ball.

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Answer:

  3c +5a = 5740

Step-by-step explanation:

Given 1500 people paid $3 for admission of children and $5 for admission of adults, resulting in a total of $5740 being collected, you have one equation that is c+a=1500. You want to know the second equation.

The equations you write will depend on the question being asked. Here, there is no question being asked, so we don't know what a suitable equation would be.

If you assume you want equations that would let you solve for the number of each kind of admission sold, then the other equation would make use of the revenue relation:

  3c +5a = 5740 . . . . . . . total collections for admission

__

Additional comment

It is fairly common modern practice to ask for a model of "this scenario," without specifying what aspects of the scenario are to be modeled. This question provides an example of that practice.

We could write a number of equations. One might be 3·6+2·5 = p, the price of admission for 6 children and 2 adults. Given the information in the problem statement, this is as good an equation as any.

Using the second equation we wrote above, the solution to the system of equations is (c, a) = (880, 620).

<95141404393>

Laplace transforms are an essential mathematical tool used to solve differential equations. These transforms transform differential equations to algebraic equations that can be solved easily.

To solve the differential equations given in the question, we will use Laplace transforms. So let's start:Solution:a) y" – y = t y(0) = 1, y'(0) = 1First, we take the Laplace transform of the given differential equation.L{y" - y} = L{ty}

Taking the Laplace transform of both sides gives:L{y"} - L{y} = L{ty}Using the formula, L{y"} = s²Y(s) - s*y(0) - y'(0), and L{y} = Y(s) then we get:s²Y(s) - s - 1 = (1/s²) + (1/s³)Rearranging the above equation, we get:Y(s) = [1/(s²*(s² + 1))] + [1/(s³*(s² + 1))]Now, we apply the inverse Laplace transform to find the solution.y(t) = (t/2)sin(t) + (cos(t)/2)

The solution of the differential equation y" – y = t, with initial conditions y(0) = 1, y'(0) = 1 is y(t) = (t/2)sin(t) + (cos(t)/2).

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F. {\(a_n\)} diverges because the terms oscillate among several different bounds. The limits of these different bounds are (5/2, 4).

To determine whether the sequence {\(a_n\)} converges or diverges, we need to analyze its behavior and properties.

The sequence is defined as \(a_n = (1(-1)^n\) + 4)(n/(n+1)).

First, let's observe the terms of the sequence for different values of n:

n = 1: \(a_1 = (1(-1)^1\)+ 4)(1/(1+1))

= (1 + 4)(1/2)

= 5/2

n = 2: \(a_2 = (1(-1)^2\) + 4)(2/(2+1))

= (1 + 4)(2/3)

= 10/3

n = 3:\(a_3 = (1(-1)^3\) + 4)(3/(3+1))

= (-1 + 4)(3/4)

= 9/4

n = 4:\(a_4 = (1(-1)^4\) + 4)(4/(4+1))

= (1 + 4)(4/5)

= 20/5

= 4

From these terms, we can observe that the sequence alternates between two different values: 5/2 and 4. As n increases, the sequence oscillates between these values.

Since the terms of the sequence do not approach a single value as n goes to infinity, the sequence does not converge. Therefore, the correct answer is:

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9514 1404 393

Answer:

  see below

Step-by-step explanation:

Each table entry has $1.70 added to the previous entry.

Bars, Price

1, $1.70

2, $3.40

3, $5.10

4, $6.80

5, $8.50

Answer:

I think A is the answer

hope this helps

have a good day :)

Step-by-step explanation:

One hundred thousand Indians and fifteen thousand Californios are the most accurate pair of approximate figures for the late 1840s in California

The indigenous population of California was estimated to be around 100,000 in the late 1840s, while the Californio population, which consisted of Spanish-speaking settlers, was estimated to be around 15,000.

The secularization law lead the Indians to grow crops, herd livestock, and weave clothes, live in the lands to where they migrated. Later the lands under the mission are distributed or sold for less cost to the families and friends of government officers. This mission plan happened in 1840s.

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Answer:

try 1239128981441231241

Step-by-step explanation:

myra

This shows that the exponent of 10 in the quotient is 8

Given the exponential function below expressed as:

\(n=\frac{6.28\times 10^{12}}{3.14\times 10^4}\)

Separate

\(n=\frac{6.28}{3.14}\times \frac{10^{12}}{10^4}\)

According to the quotient law;

\(n=2\times 10^{12-4}\\n=2\times10^8\)

This shows that the exponent of 10 in the quotient is 8

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Answer:3+3

Step-by-step explanation:

tbh

Answer:

Each get 1 and a half of a cupcake

Step-by-step explanation:

Answer:

1/x^2

Step-by-step explanation:

(x^3y^2)^4x^2y^5/ x^16y^13

x^14y^13/x^16y^13

=1/x^2

Answer:

4y-13/5

Step-by-step explanation:

-

1/5(20y-13)
Use the distributive property to multiply 1/5 by 20y−13.

Result: 1/5*20y+1/5(-13)

Now, multiply 1/5 and 20 to get 20/5.

Result: 20/5y+1/5(-13)

Divide 20 by 5 to get 4.

Result: 4y+1/5(-13).

Multiply 1/5​ and −13 to get -13/5.

4y+-13/5

4y-13/5.

Answer:

iF X IS POSITIVE THEN -X IS ALWAYS NEGATIVE

IF X IS NEGATIVE, THEN -X IS ALWAYS POSITIVE

THE NEGATIVE OF A POSITIVE IS ALWAYS POSITIV

THE NEGATIVE OF A NEGATIVE IS ALWAYS POSITIVE

Step-by-step explanation:YS

−x is always equal to a negative integer is an incorrect statement.

The student is not correct.

A number system is defined as a system of writing to express numbers.

−x is always equal to a negative integer when x is positive integer

−x is always equal to a positive integer when x is negative integer

Which means the value of -x changes on the integer of x.

If x is positive then -x will be always negative, If x is negative then -x is positive.

The negative of a negative integer is positive and the negative of positive integer is negative.

Hence  −x is always equal to a negative integer is an incorrect statement.

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The most likely mean for the sample distribution is option c. negatively skewed.

Based on the given information, we know that the mean (M) is less than both the median and the mode. This suggests that the distribution is skewed to the left (negatively skewed), with a long tail on the left side of the distribution.

The mean of a sample distribution is the average value of all the observations or measurements in the sample. It is calculated by adding up all the values in the sample and dividing the sum by the total number of observations in the sample.

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A decoder with 64 outputs has 6 inputs while a multiplexer with 32 inputs has 5 control lines.

A decoder is a combinational circuit that converts binary information from n input lines to a maximum of 2ⁿ unique output lines. If the decoder has 64 output lines, it means it has to process 6 bits of information from its inputs. Hence, a decoder with 64 outputs has 6 inputs. Therefore, the number of inputs a decoder has, if it has 64 outputs, is 6.52.

A multiplexer is a combinational circuit that selects a single data input line from a set of data input lines to pass through to the output based on the select lines. The number of select lines a multiplexer has determines the number of data inputs it can accommodate.

The formula to find the number of select lines a multiplexer has is:

2ⁿ ≥ a number of inputs where n is the number of select lines. If a multiplexer has 32 inputs, n would be 5 (since 2⁵=32). Therefore, a multiplexer with 32 inputs has 5 control lines. So, the number of control lines a multiplexer has if it has 32 inputs is 5.

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Step-by-step explanation:

.................................

Answer:

I think 2 1/2 for flour and 2 eggs

Answer:

The price of T-shirts before the sale = 42 euros

The price of scarves before the sale = -77/2 euros

Step-by-step explanation:

The cost of the items Zina buys from the store initially are;

Two scarves and three T-shirts for 49 euros

The reduction in the price of scarves a week later during sales = 1.5 euros

The reduction in the price of T-shirts a week later during sales = 2 euros

The items Zina bought for 40 euros at the reduced price of the sales opportunity are;

Four scarves and five T-shirts for 40 euros

Let 'x' represent the initial price of a scarf and let 'y' represent the initial price of a T-shirt, we  have;

2·x + 3·y = 49...(1)

4·(x - 1.5) + 5·(y - 2) = 40...(2)

Expanding equation (2) gives;

4·x - 6 + 5·y - 10 = 40

4·x + 5·y = 40 + 6 + 10 = 56

∴ 4·x + 5·y = 56...(3)

By multiplying equation (1) by 2 and subtracting the result from equation (3), we get;

4·x + 5·y - 2 × (2·x + 3·y) = 56 - 2 × 49 = -63

-y = -42

y = 42

The price of T-shirts before the sale = 42 euros

x = (49 - 3 × 42)/2 = -77/2

x = -77/2

The price of scarves before the sale = -77/2 euros

(However, if the had bought the 4 scarves and 5 T-shirts during sales at 70 euros, we get;

The price of T-shirts before the sale = 12 euros

The price of scarves before the sale = 6.5 euros.

The allowable total price for the reduced 4 scarves and 5 T-shirts is between 66 and about 82 for both initial prices to be +ve)

Answer:

EASY-ACCESS CREDIT:

1. title loan with collateral

2. two-week payday loan

OPEN-END CREDIT:

1. Credit card

2. $2000 monthly line of credit

CLOSE-END CREDIT:

1. home loan

2. car loan

The division of category on the basis of type of credit would be as follows:

Easy-Access Credit

1. Title loan with collateral

2. Two-week payday loan

OPEN-END CREDIT:

1. Credit card

2. $2000 monthly line of credit

CLOSE-END CREDIT:

1. Home loan

2. Car loan

Credit is described as the amount that has been added to a specific account.

Easy-access credit is defined as the credit that is granted for an extremely short period of time and for such loans, the interests are extremely high.

While the open credit keeps the amount lent on repeat which is set at a particular limit(maximum).

Close-end credit in which the amount remains specified initially while it is being lent.

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Therefore, it will take approximately 1415.7 weeks for all of the chemical to evaporate.

To calculate the volume of a cone, we can use the formula:

\(Volume = (1/3) * π * r^2 * h\)

Given that the height (h) of the cone is 240 inches and the radius (r) is 150 inches, we can substitute these values into the formula:

\(Volume = (1/3) * 3.14 * 150^2 * 240\)

Simplifying the equation:

Volume = 3.14 * 22500 * 240

Volume ≈ 16988400 cubic inches

Now, we know that the liquid chemical evaporates at a rate of 12,000 cubic inches per week. To find out how many weeks it will take for all the chemical to evaporate, we can divide the total volume of the chemical by the evaporation rate:

Number of weeks = Volume / Evaporation rate

Number of weeks = 16988400 / 12000

Number of weeks ≈ 1415.7 weeks

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