2 Antonio is a set designer. He is gluing ribbon on 4 square and 2 triangular posters to be used as stage props in an upcoming play. Use the system of equations to finds, the amount of ribbon needed for a square poster, and t, the amount of ribbon needed for a triangular poster. Show your work.

s=t+ 5 45 + 2t = 110​

\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

we're given that Angela formerly had 8 computer games.

★ She got 3 more video games on her birthday.

★ Then she gave away 4 video games.

_____________________________

_____________________________

\(\huge\red{ Solution -}\)

\(8 + 3 - 4 \\ \dashrightarrow \: 11 - 4 \\ \dashrightarrow \: 7\)

hope helpful :D

Answer:

216

Step-by-step explanation:

Since a=-6,b=-4 and c= 3,we have to multiply them including the extra three

By definition, direct variation takes the following form:

y=kx

Where k is the proportionality constant.

You can find k given the information in the problem:

7=3k

k=3/7

You can now find y when x=7 as follows:

y=(7*3)

Values can be substituted. Then:

y=(7*7)/3

y=49/3

If y varies directly from x, then the value of y = 49/3 when x = 7.

If y varies directly from x, we can write its relationship in the form of the equation below :

y = m*x

Where m is the slope of the line on the graph.

From the given data:

y=7

x=3,

We can substitute these values in the above equation and find m :

7 = m*3

m = 7/3

So, the equation can also be written as follow:

y = 7/3 x

Finding y when x=7, then substituting the x value in the above equation we get:

y = (7/3)*(7)

y = 49/3

Therefore the value of the y = 49/3.

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40

Explanation

Step 1

a)initially we have 8 dots

after that

in step 2, we have a new row and , now there are 8 dots per row, so

in step 3, we should have

and

as we can see, the rule works

Step 2

now, to find the patter in step 4, just apply

and

finally, to know the number of dots

Multiply the number of row, by the number of dots per row, so

therefore, the answer is 40

I hope this helps you

Answer:

2 dollars

Step-by-step explanation:

2.9375 is the answer

3 is the rounded up answer

i cant show steps cuz :p

sorry

anyway hope tis helps

Answer:

47/16

is basically dividing  

47÷16  

Long Division for 47 divided by 16  

=2.9375

Answer:

its 7/8

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

Answer:

OP = 23

Step-by-step explanation:

• The diagonals of a parallelogram bisect each other , then

OP = MP , that is

3x - 4 = 2x + 5 ( subtract 2x from both sides )

x - 4 = 5 ( add 4 to both sides )

x = 9

Then

OP = 3x - 4 = 3(9) - 4 = 27 - 4 = 23

The size of angle x is \(61.2^{o\\}\)

Trigonometry is the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

From the diagram,

Using SOHCAHTOA which stands for:

SINE= OPPOSITE SIDE / HYPOTHENUSE SIDE

COS= ADJACENT SIDE/HYPOTHENUSE SIDE

TAN=OPPOSSITE SIDE/ ADJACENT SIDE

By applying the tangent trigonometric ratio

Tangent = Opposite side/ Adjacent side

\(tan(x) = \frac{20}{11} \\\)

\(tan(x) = 1.82\)

To find the size of angle x,

x =  \(tan^{-1}\)(1.82)

x = \(61.2^{o}\)

Using the tangent trigonometry, the size of angle x  is \(61.2^{o}\)

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If a chef is going to use a mixture of two brands of Italian dressing and the first brand contains 6% vinegar. The amount of of each brand should she use is:  180mL of the first brand and 120mL of the second brand.

Brand can simply be defined as what help to identify a company product.

Let the amount of the first brand = F

Let the amount of the second brand = S

Total mixture :

Total mixture = F + S

Total mixture = 300

Total mixture contain 8% vinegar:

06F + .11S = .09(300)

Substitution

F + S = 300

.06F + .11S = .09(300)

F = 300 - S    

.06(300 - S) + .11S = .09(300)    

Substitute into second equation

18 -.06S +.11S = 27

Collect like terms

.05S = 9

Divide both side by 0.05S

S = 9/0.05

S = 180

Hence,

F + 180 = 300

F = 300 -180

F = 120

Therefore to make a 300mL mixture that contains 9% vinegar, use 180mL of the first brand and 120mL of the second brand.

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In general, an appropriate null hypothesis is one that states there is no significant difference or relationship between two variables.

Therefore, out of the options given, the appropriate null hypothesis would be "selection was not a significant factor."
An appropriate null hypothesis is "Selection has no effect on the observed outcome. "it means that any differences observed in the data are due to chance, and not due to a specific selection process or factor. The null hypothesis serves as a starting point in statistical analysis, and researchers aim to either accept or reject it based on the evidence collected.

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The diameter of the pizza is 8.96 inches then we get the largest slice of the pizza.

Given, we are offered one slice from a round pizza and the perimeter of the slice is 16 inches.

so, the largest slice in the pizza will have an angle of 90° at the center.

Now, Perimeter of the slice = length of the arc + 2 × radius

16 = 1/4×2πr + 2r

16 = πr/2 + 2r

16 = 3.57r

r = 4.48

So, the diameter of the pizza is 8.96 inches.

Hence, the diameter of the pizza is 8.96 inches then we get the largest slice of the pizza.

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This indicates that there are 1.5 threads within each millimeter of the threaded portion, which is lower compared to the ¼ - 20 thread. Therefore, the ¼ - 20 thread has a higher thread density or more threads per inch than the M10 x 1.5 thread.

The thread with more threads per inch is ¼ - 20. It has a higher thread density compared to the M10 x 1.5 thread. The ¼ - 20 thread specification indicates that it has a diameter of ¼ inch and a thread pitch of 20 threads per inch.

This means that there are 20 threads within each inch of the threaded portion. On the other hand, the M10 x 1.5 thread specification denotes a metric thread with a diameter of 10 millimeters and a thread pitch of 1.5 millimeters.

This indicates that there are 1.5 threads within each millimeter of the threaded portion, which is lower compared to the ¼ - 20 thread. Therefore, the ¼ - 20 thread has a higher thread density or more threads per inch than the M10 x 1.5 thread.

In summary, the ¼ - 20 thread has more threads per inch than the M10 x 1.5 thread. The ¼ - 20 thread specification indicates a diameter of ¼ inch and a thread pitch of 20 threads per inch, meaning there are 20 threads within each inch.

The M10 x 1.5 thread, on the other hand, has a diameter of 10 millimeters and a thread pitch of 1.5 millimeters, resulting in 1.5 threads within each millimeter. As a result, the ¼ - 20 thread has a higher thread density or more threads per inch compared to the M10 x 1.5 thread.

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Answer:

\( 41 - ( - 7) = 41 + 7 = 48\)

The difference of the algebraic expression is 2. 7m² - 4n² - 8. 2m

To represent the difference in standard form is leave in the power or exponent of a variable or number.

Given the expression

(2.7m^2 - 3.1n) - (4n^2 + 5.1m)

First, expand the brackets

2. 7m² - 3.1 m - 4n² - 5. 1m

Then, collect like terms

2. 7m² - 4n² - 3.1m - 5. 1m

Subtract like terms, we have

2. 7m² - 4n² - 8. 2m

The difference of the algebraic expression gives 2. 7m² - 4n² - 8. 2m

Thus, the difference of the algebraic expression is 2. 7m² - 4n² - 8. 2m

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Answer:

He needs to get $178 to average at least $150.

Step-by-step explanation:

105, 132, 165, 170, and 178 has an average of 150.

Using the volume x³ + 10x² + 19x  - 30, the missing side of the rectangular prism is (x + 6)

Two sides of a rectangular prism are x + 5 and x - 1. The volume of the rectangular prism is given as x³ + 10x² + 19x  - 30.

Let's find the missing side of the rectangular prism.

Therefore,

volume of a rectangular prism = lwh

where

Therefore,

volume of the prism = x³ + 10x² + 19x  - 30

Let's factorise it to find the missing side length

x³ + 10x² + 19x  - 30  = 0

(x - 1)(x² + 11x + 30)

let's factorise x² + 11x + 30

x² + 11x + 30

x² + 5x + 6x + 30

x(x + 5) + 6(x + 5)

(x + 6)(x + 5) = 0

Therefore, the side length of the rectangular prism are (x - 1), (x + 5) and (x + 6)

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Comparing descriptive statistics for numeric fields within the data is an example of quantitative analysis.

This type of analysis involves the use of numerical data to draw conclusions and make decisions. Descriptive statistics, such as measures of central tendency and variability, provide a summary of the data and can be used to identify patterns or trends. By comparing these statistics across different variables, researchers can gain insights into relationships between variables and make predictions about future outcomes. Overall, quantitative analysis is an important tool for understanding and interpreting complex data sets. Comparing descriptive statistics for numeric fields within the data is an example of "Exploratory Data Analysis (EDA)." EDA involves summarizing, visualizing, and analyzing datasets to extract meaningful insights and understand underlying patterns or trends. This process helps in making informed decisions and supports further statistical or predictive modeling.

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The given system of equations is:7x - 8y = 2 (1)14x - 16y = 8 (2)Multiplying the first equation by 2, we obtain:14x - 16y = 4 (3)Comparing equations (2) and (3), we notice that both equations have the same left side, but different right sides.

Therefore, the given system of equations is inconsistent (no solution).Inconsistent system: An inconsistent system of equations is a system in which the equations don't have a common solution.

An inconsistent system is one in which the system has no solution, which means that the equations are mutually exclusive and cannot be fulfilled simultaneously. When attempting to solve such a system, you will discover that the equations are contradictory and cannot be reconciled. In other words, if the two equations are plotted on the graph, they will not intersect each other.

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Answer:

\(y = \frac{7}{6} x\)

Step-by-step explanation:

Slope-intercept form is

\(y = mx + b\)

Where m = slope,

and b = y-intercept.

The problem states that the slope is \(\frac{7}{6}\), and it also states that one point on the line is the origin. (0, 0)

Because the origin crosses the y-axis at point 0, we know that the y-intercept is 0.

All that's left to do is plug these values into the slope formula.

\(y = \frac{7}{6} x + 0\)

We can then simplify the equation even more.

\(y = \frac{7}{6} x\)

Answer:

x = 75

Step-by-step explanation:

If the lines were parallel, then

the angle on the left of the triangle = 55° ( alternate angles )

The angle at the top of the triangle = 50° ( vertical angles )

x = 180 -(55 + 50) ← sum of angles in a triangle = 180°

x = 180 - 105 = 75

For the lines to be parallel then x = 75

Answer:

75

Step-by-step explanation:

The justification of each step of the deductive reasoning are:

Step 1: \(CD + DE = CE\)

Step 2: \(8 + (3x + 7) = 6x\)

Step 3: \(3x + 15 = 6x\)

Step 4: \(15 = 3x\)

Step 5: \(x = 5\)

Step 6: \(CE = 6(5)\)

Step 1: \(CD + DE = CE\)

Justification: Segment Addition Postulate (point D lies in between points C and E)

Step 2: \(8 + (3x + 7) = 6x\)

Justification: Substitution (Plug in the value of CD, DE, and CE in the equation).

Step 3: \(3x + 15 = 6x\)

Justification: Combining like terms (Add 8 and 7 together).

Step 4: \(15 = 3x\)

Justification: Subtraction property of equality (Subtract 3x from both sides of the equation).

Step 5: \(x = 5\)

Justification: Division Property of Equality (Divide both sides by 3).

Step 6: \(CE = 6(5)\)

Justification: Substitution (Plugging in x = 5 into 6x).

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The justification of the deductive reasoning requires the qualification of each step in the question with appropriate theorems. The matching of the justification with the deductions are:

From the given diagram, the following are the justifications for the deductive reasoning are appropriate:

Deductive Reasoning                             Justification

1. CD + DE = CE                                     Segment Addition postulate

2. 8 + (3x + 7) = 6x                                 Addition property of equality

3. 3x + 15 = 6x                                       Addition property of equality

4. 15 = 3x                                               Combining like terms

5. x = 5                                                   Division property of equality

6. CE = 6(5)                                             Substitution

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Answer:

I does not say.

Step-by-step explanation:

Take the square root of each side.

\(\sf \sqrt{x^{2} } =\sqrt{25} \\\\\\ x=\± 5\)

The function F(x,y) whose level curves are solutions to the differential equation is:

F(x,y) = e^xsin(y)e^(-4y) - 1/5 sin^2(y) - xe^(-4y) + C.

To check if the differential equation (e^xsin(y)−4y)dx+(−x−e^xcos(y))dy=0 is exact, we need to compute its partial derivatives with respect to x and y:

∂/∂y(e^xsin(y)−4y) = e^x cos(y) - 4

∂/∂x(−x−e^xcos(y)) = -e^x cos(y) - 1

Since these two partial derivatives are not equal, the differential equation is not exact.

To find a function F(x,y) whose level curves are solutions to the differential equation, we need to find an integrating factor μ(x,y) that makes the differential equation exact. One possible integrating factor is:

μ(x,y) = e^(-4y)

Multiplying both sides of the differential equation by μ(x,y), we get:

(e^xsin(y)−4y)e^(-4y) dx + (−x−e^xcos(y))e^(-4y) dy = 0

Now, let's check if this new differential equation is exact:

∂/∂y((e^xsin(y)−4y)e^(-4y)) = e^x cos(y) - 4

∂/∂x((-x−e^xcos(y))e^(-4y)) = e^x cos(y) - 1

Since these two partial derivatives are now equal, the differential equation is exact.

To find F(x,y), we can integrate the first term with respect to x and the second term with respect to y:

F(x,y) = ∫(e^xsin(y)−4y)e^(-4y) dx = e^xsin(y)e^(-4y) + g(y)

F(x,y) = ∫(−x−e^xcos(y))e^(-4y) dy = -xe^(-4y) + f(x)

where g(y) and f(x) are arbitrary functions of y and x, respectively.

To determine g(y) and f(x), we can use the fact that the mixed partials of F(x,y) must be equal. Taking the partial derivative of F(x,y) with respect to y and then with respect to x, we get:

∂/∂y(e^xsin(y)e^(-4y) + g(y)) = e^xsin(y)e^(-4y)cos(y) + g'(y)

∂/∂x(-xe^(-4y) + f(x)) = 0

Setting these two expressions equal to each other and simplifying, we get:

g'(y) = -e^xsin(y)e^(-4y)cos(y)

Integrating both sides with respect to y, we get:

g(y) = -1/5 sin^2(y) + C

where C is an arbitrary constant.

Therefore, the function F(x,y) whose level curves are solutions to the differential equation is:

F(x,y) = e^xsin(y)e^(-4y) - 1/5 sin^2(y) - xe^(-4y) + C.

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Answer:

No solution.

Step-by-step explanation:

Step 1: Write equation

-3(-x + 4) = 5 + 3(x + 1)

Step 2: Solve for x

Here, we see that x has to equal no solution. No value of x would make the equation true.

Answer:

no solutions

Step-by-step explanation:

distribute the parenthesis

3x - 12 = 5 + 3x + 3

move all variables to one side of the equation and the constants to the other

3x - 3x = 5 + 3 + 12

0 = 20

there are no solutions

Answer:

70% is approximately the answer

Step-by-step explanation:

135 x 2 = 270

310 - 270 = 40

35 out of 40 is 7/8.

The answer should be approx 70, I can not make sure.