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Answer:

Step-by-step explanation:

Let's use a system of equations to solve for the cost of each type of dinner.

Let x be the cost of ribeye steak dinners and y be the cost of grilled salmon dinners.

From the first day's sales, we can write:

13x + 12y = 592.87

And from the second day's sales, we can write:

18x + 6y = 580.21

We now have two equations with two variables. We can solve for one variable in terms of the other in either equation, and then substitute that expression into the other equation to solve for the remaining variable.

Solving the first equation for y, we get:

y = (592.87 - 13x) / 12

Substituting this expression into the second equation, we get:

18x + 6[(592.87 - 13x) / 12] = 580.21

Simplifying and solving for x, we get:

x = 28.95

Substituting this value of x back into the first equation to solve for y, we get:

y = 23.56

Therefore, the cost of ribeye steak dinners is $28.95 and the cost of grilled salmon dinners is $23.56.

A triangle is solved when all the angles and sides are found.

1) Using the sine rule;

a/Sin A = b/sin B

asin B = b sin A

b = asin B/sin A

b = 40 sin 14/sin 80

b = 10

C = 180 - (A + B)

C = 180 - (80 + 14)

C = 86

c/sin C = b/sinB

c/sin 86 = 10/sin 14

csin 14 = 10 sin 86

c =  10 sin 86/sin 14

c = 41

2) b^2 = a^2 + c^2 - 2ac Cos B

b = √a^2 + c^2 - 2ac Cos B

b =√(14)^2 + (20)^2 - (2 * 14 * 20) Cos 38

b = √196 + 400 - 560Cos 38

b = 12

a/Sin A = b/sin B

14/sin A = 12/sin 38

14 Sin 38 = 12sin A

A = Sin-1(14 Sin 38/12)

A = 33

C = 180 - (33 + 38)

C = 109

3) b^2 = a^2 + c^2 - 2ac Cos B

b^2 = a^2 + c^2 - 2ac Cos B

6^2 = (4)^2 + (3)^2 - (2 * 4 * 3) Cos B

36 = 16 + 9 - 24Cos B

36 = 25 - 24Cos B

36 - 25 = -24Cos B

11 = -24Cos B

B = Cos-1 (11/-24)

B = 117

b/sin B = a/sin A

6/sin 117 = 4/sinA

6Sin A = 4Sin117

Sin A = 4Sin117/6

A = Sin-1(4Sin117/6)

A = 36

C = 180 - (36 + 117)

C = 27

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300 contestants appeared in the game show.

80% of 300 is 240 (the number of winners), and 60 failed.

Why it is and what is percentage?

Let's call the total number of contestants "x".

If 80% of them were chosen as winners, then 20% of them must have failed.

So we can set up an equation:

0.2x = 60

Solving for x:

x = 60 / 0.2

x = 300

Therefore, 300 contestants appeared in the game show.

80% of 300 is 240 (the number of winners), and 60 failed.

Percentage is a way of expressing a number as a fraction of 100. It is often denoted by the symbol "%".

For example, if there are 20 students in a class and 5 of them are absent, we can express the number of absent students as a percentage of the total number of students like this:

Percentage of absent students = (5 / 20) x 100% = 25%

So we can say that 25% of the students in the class are absent.

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As a result, the highest viscosity error is roughly 122.5 Pa m⁴/s.

Viscosity is described by the expression =2ga2()9v = 2 g a 2 ( ) 9 v. A liquid's viscosity diminishes as its temperature rises. So when temperature is high, a molecule's kinetic energy also increases, which causes the intermolecular to slide across each other between both the layers.

To estimate the maximum error in the viscosity, we need to use the formula for error propagation with linear approximation:

δf ≈ |f'(x)|δx

where δf is the maximum error in the function f, |f'(x)| is the absolute value of the derivative of f with respect to x, and δx is the maximum error in x.

In this case, our function is the viscosity V, which depends on the pressure P and the radius r:

V = (π/8)(P r⁴)/v

Taking the derivative of V with respect to P and r, we get:

∂V/∂P = (π/8)(r⁴)/v

∂V/∂r = (π/2)(P r³)/v

Using the given values and uncertainties, we can estimate the maximum errors:

δP = 1750 Pa

δr = 0.00015 m

δt = 0 (since the time is exact)

Using the linear approximation formula, we get:

δV ≈ |∂V/∂P|δP + |∂V/∂r|δr + |∂V/∂t|δt

≈ [(π/8)(r⁴)/v]δP + [(π/2)(P r³)/v]δr + 0

≈ (π/8)(0.003+0.00015)⁴/(0.625e-9) + (π/2)(1.1e5)(0.003+0.00015)³/(0.625e-9)

≈ 122.5 Pa·m⁴/s

Therefore, the maximum error in the viscosity is approximately 122.5 Pa·m⁴/s.

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Answer: 8 pounds

Step-by-step explanation:

40 / 5 = 8

If you divide the dough into 275-gram loaves, we can make 27 loaves from the recipe.

To find the number of 275-gram loaves that can be made from 7.5 kg of dough, we need to divide the total weight of the dough by the weight of each loaf:

Number of loaves = Total weight of dough / Weight of each loaf

We can convert the total weight of dough from kilograms to grams by multiplying by 1000:

Total weight of dough = 7.5 kg × 1000 g/kg = 7500 g

So the number of loaves is:

Number of loaves = 7500 g / 275 g/loaf ≈ 27.27

We can't have a fractional number of loaves, so we need to round down to the nearest whole number. Therefore, we can make 27 loaves from the recipe.

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Therefore , the solution of the given problem of coordinate comes out to be the vertex's dimensions are (9/4, 9/8).

A coordinate system is a method that employs one or more values or coordinates to accurately locate points or even other mathematical objects on a space, such as Euclidean space. Coordinates, that are pairs variables of numbers, are used to locate a point or object on a double plane.

Here,

2x^2 - 9x + 9 = 0

The quadratic formula can be used to find the roots:

=> x = [-(-9) ± √((-9)^2 - 4(2)(9))] / (2*2)

=>  x = [9 ± √(9)] / 4

=>  x1 = (9 + 3) / 4 = 3

=> x2 = (9 - 3) / 4 = 3/2

The x-intercepts of the equation's curve are therefore x = 3 and x = 3/2.

We can use the following algorithm to determine the vertex's coordinates:

=>  x = -b / 2a

where b=-9 and a=2. By replacing these numbers, we obtain:

=> x = -(-9) / 2(2) = 9/4

We can change x = 9/4 into the formula f(x) = 2x2 - 9x + 9 to obtain the corresponding y-coordinate of the vertex:

f(9/4) = 2(9/4)^2 - 9(9/4) + 9 = 9/8

Therefore, the vertex's dimensions are (9/4, 9/8).

f(2) = 2(2)^2 - 9(2) + 9 = -5

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By answering the given question, we may state that As a result, Axial expressions Seamount is around 3608 feet tall.

In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.

We may use the formula 1 metre = 3.28 feet to convert between metres and feet.

As a result, the Axial Seamount's height in feet would be:

3.28 feet per metre times 1100 metres equals 3608 feet.

As a result, Axial Seamount is around 3608 feet tall.

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Answer:

Los factores de 35 son 1, 5, 7, 35 y sus factores negativos son -1, -5, -7, -35.

The factors of 35 are 1, 5, 7, 35, and its negative factors are -1, --5, -7, -35.

Answer:

Step-by-step explanation:

165

The surface area of the pyramid is 88.21 square meters

From the question, we have the following parameters that can be used in our computation:

The figure (see attachment)

From the figure, we have

height, h = 8.7 meters

Basis, b1 and b2 = 5.4 meters and 2.8 meters

The surface area of the pyramid is calculated as

SA = b1b2 + b1√[(b2/2)² + h²] + b2√[(b1/2)² + h²]

Substitute the known values in the above equation, so, we have the following representation

SA = 5.4 * 2.8+ 5.4 * √[(2.8/2)² + 8.7²] + 2.8 * √[(5.4/2)² + 8.7²]

Evaluate

SA = 88.21

Hence, the surface area is 88.21 square meters

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Answer:5

Step-by-step explanation:

The r-value is calculated by determining the correlation between the two variables, X and Y.

Determining is the process of making a decision or arriving at a conclusion. It involves analyzing information, considering options, and evaluating evidence in order to make an informed judgment. When determining, one must take into account facts, opinions, data, and any other information that could be relevant to the situation in order to reach a conclusion that is as accurate and unbiased as possible. Determining is a critical skill, as it can be used to make decisions about important matters such as finances, relationships, careers, and more.

In this case, X and Y have a weak negative correlation, which means that as X increases, Y decreases. The r-value of this data set is 0.953.

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The correct graph of the function f (x) = 4 × 2ˣ is shown in Option 3.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = 4 × 2ˣ

Now, At x = 0;

⇒ f (x) = 4 × 2ˣ

⇒ f (x) = 4 × 2⁰

⇒ f (x) = 4 × 1

⇒ f (x) = 4

Hence, A point (0, 4) is on the function.

So, By given options;

Third graph is shows the function which passes through the point |(0,4).

Therefore, The correct graph of the function f (x) = 4 × 2ˣ is shown in Option 3.

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The equivalent expression is (c) 12a + 10

We can apply the associative property of addition and group the like terms together first:

2(a + 5) + 4(2a + 3) - 10

= 2a + 10 + 8a + 12 - 10 (distributing 2 and 4)

= 10a + 12 (combining like terms)

Now we can apply the commutative property of addition to rearrange the terms in any order we want:

10a + 12 = 12 + 10a

Hence, an expression equivalent to 2(a+5)+4(2a+3)−10 using the associative and commutative properties is: 12 + 10a

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A total number of 12 students from the Math Club went to the soap box derby. The Option B (6*2) is correct.

We can derive the number of students who went to the soap box derby from Math Club by multiplying the Van by each student contained in each van.

Data

No of vans = 2

No of students in each van = 6

No of students who went from math club to the soap box = ?

Each van held 6 students, so the total number of Math Club students who went is:

= 2 vans × 6 students/van

= 12 students

Therefore, a number of 12 students from the Math Club went to the soap box derby.

Full question "The entire school, 250 students, went to the soap box derby. The math club went in 2 vans, and each van held 6 students. How many students from the Math Club went to the soap box derby?

A. 6 2 = ?

B. 6 � 2 = ?

C. 6 - 2 = ?

D. 6 + 2 = ?

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Based on the information provided, it can be concluded the cake has 5 layers.

To determine the number of layers in the cake, the first step is to calculate the volume of the cake, this can be done with the formula π r² h as shown below.

The volume of the cake:

π r² h

π 10² 20

π 100 20 = 6,283 cubic centimeters

Now, with this volume, we can know the number of layers by using division as it follows:

6,283 cubic centimeters /1,250 cubic centimeters per layer = 4.9 layers, which can be rounded to 5 layers.

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Answer:

Step-by-step explanation:

55/66

The way to get 240 can be found by first collecting like terms and then dividing both sides by the value next to x.

The value of x can be found by solving the equation by first collecting like terms.

The equation is :

3 x + 80 = 800

First collect like terms :

3x = 800 - 70

3 x = 720

The solve for x by dividing both sides by the value multiplying x :

x = 720 / 3

x = 240

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The full question is :

You're given the equation 3 x + 80 = 800. How did you get 240 as your answer?
Can you show your work?

The total cost of petrol for Mr Flynn's trip would be $14.55.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

To determine the cost of driving 100km, we need to know the fuel efficiency of Mr Flynn's vehicle and the price of petrol per litre. Once we have this information, we can calculate the total cost of petrol for a distance of 100km and then use that to calculate the cost for the 97km trip.

Let's assume that Mr Flynn's vehicle has a fuel efficiency of 10km per litre of petrol and the price of petrol is $1.50 per litre.

To drive a distance of 100km, Mr Flynn's vehicle would need 10 litres of petrol (100km divided by 10km per litre). The total cost of petrol for 100km would be $15 (10 litres multiplied by $1.50 per litre).

For a distance of 97km, Mr Flynn's vehicle would need 9.7 litres of petrol (97km divided by 10km per litre). The total cost of petrol for the 97km trip would be $14.55 (9.7 litres multiplied by $1.50 per litre).

Therefore, the total cost of petrol for Mr Flynn's trip would be $14.55.

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The graph representing the solution of the inequalities y < 3/4x + 3 and y ≤ -2x - 1 is option B.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

The first inequality is given as y < 3/4x + 3.

The second inequality is given as y ≤ -2x - 1.

To find the intersection point for the system of inequalities without graphing, we need to solve the two inequalities simultaneously by finding the values of x and y that satisfy both of them.

We can start by setting the two inequalities equal to each other -

y = 3/4x + 3 (from the first inequality)

y = -2x - 1 (from the second inequality)

Since both equations are equal to y, we can set them equal to each other -

3/4x + 3 = -2x - 1

We can simplify and solve for x -

3/4x + 2x = -1 - 3

11/4x = -4

x = -16/11

To find the value of y that corresponds to this value of x, we can substitute it into either equation.

Using the second equation, we have -

y = -2(-16/11) - 1

y = 29/11

So, the intersection point for the system of inequalities is (-16/11, 29/11).

The graph for inequality y ≤ -2x - 1 will be a straight line denoting (≤,≥) symbol.

The graph for inequality y < 3/4x + 3 will be a dotted line denoting (<,>) symbol.

Therefore, the graph that shows this intersection point and satisfies the condition is graph of option B.

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The percentage of jars will be filled with between 251 ml and 254 mL is 85.26%

To calculate the percentage of a number, we need to use a different formula such as:

P% of Number = X

where X is the required percentage.

If we remove the % sign, then we need to express the above formulas as;

P/100 * Number = X

We are given that;

Labeled quantity= 250ml

Distributed variable = 252 mL

o= 0.9 mL.

First, we need to calculate the z-score for 251 mL and 254 mL using the formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean of the distribution, and σ is the standard deviation.

For 251 mL:

z = (251 - 252) / 0.9 = -1.11

For 254 mL:

z = (254 - 252) / 0.9 = 2.22

Next, we can use a standard normal distribution table or calculator to find the area under the curve between these two z-scores. If using a table, we look up the area corresponding to a z-score of 2.22 (0.9861) and subtract the area corresponding to a z-score of -1.11 (0.1335) to get:

0.9861 - 0.1335 = 0.8526

Therefore, the answer percentage will be approximately 85.26% .

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Answer:

x^2+7x+6=0

Step-by-step explanation:

(x+6)+(x+1)

Answer:

70%

Step-by-step explanation:

80 divided by 56 is .7, which times 100 is 70%

The required linear equation to model the given scenario is 4x = 1/6 (4x + 12).

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are present. The factors in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Let P be the perimeter of the square and R be the perimeter of the rectangle.

The perimeter of the square with side x is given by:

P = 4x

The perimeter of the rectangle with one side equal to x and the other side 6 more than x is:

R = 2(x + x + 6) = 4x + 12

We know that the perimeter of the square is equal to 1/6 of the perimeter of the rectangle, so we can write:

P = 1/6 R

Substituting the expressions for P and R we get:

4x = 1/6 (4x + 12)

This is the linear equation that models the scenario.

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Insurance is an important element when we buy or sell a product or service because this allows the client to be sure that this product is of quality and that in case it fails, they will receive compensation.

Insurance is a term that refers to a service in which a buyer has his money insured when he makes a purchase. For example, if we buy a car and have it insured, if it fails or is damaged by a third party, the insurance company will assume all charges for its repair.

Based on the above, it is important to include insurance when a contractor purchases a tanker to ensure that the tanker will function properly. Additionally, this will allow us to ensure that the operation of this to provide water to different people will be correct.

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New cost = old cost + 150 of old cost = 45 + (150/100 X45) = 45 + 67.5 = 107.5

The ones that are correct are A and D because of the triangle relationship theorem.

Answer:

the average rate of change of f(x) on [a, a+h] is 4a + 2h + 5.

Step-by-step explanation:

The average rate of change of a function f(x) on the interval [a, a+h] is given by the formula:

[f(a+h) - f(a)] / h

So, for the function f(x) = 2x^2 + 5x - 3, we have:

[f(a+h) - f(a)] / h

= [2(a+h)^2 + 5(a+h) - 3 - (2a^2 + 5a - 3)] / h

= [2a^2 + 4ah + 2h^2 + 5a + 5h - 3 - 2a^2 - 5a + 3] / h

= [4ah + 2h^2 + 5h] / h

= 4a + 2h + 5

Therefore, the average rate of change of f(x) on [a, a+h] is 4a + 2h + 5.