Somone please explain how to answer these two questions!

Answer:

m = -27/13

Step-by-step explanation:

Given equation,

→ (2m - 27)/3 = 5m

Now the value of m will be,

→ (2m - 27)/3 = 5m

→ 2m - 27 = 5m × 3

→ 2m - 15m = 27

→ -13m = 27

→ [ m = -27/13 ]

Hence, value of m is -27/13.

Length of KM using distance formula is √53.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage. In math, what is a distance? The length of the line segment connecting the two sites is used to measure distance between them. The shortest line segment between a point and a line will have a length equal to the distance between them.

Given,

Coordinates of K = (8,-4)

Coordinates of M = (1,-2)

Distance formula:

D = √(x₂ - x₁)² + (y₂ - y₁)²

D = √(8-1)² + (-4+2)²

D = √49 + 4

D = √53

Length of KM using distance formula is √53.

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Answer:

x=80 degrees

Step-by-step explanation:

all 3 angles of a triangles equals 180

We add the 2 angles 70+30=100

Now we subtract from 180

180-100=80

x=80 degrees

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According to the substitution method, the value of x is 5 and the value of y is -2

Substitution method:

In math, substitution method, we have to substitute the value of a variable found by one equation in the second equation.

Given,

Here we have the equations:

3x + 4y = 7

2x - 3y = 16

Now, we have to solve this one by using an algebraic method.

Here we have to use the substitution method to solve this equations,

Suppose,

3x+4y=7              →(1)

and 2x-3y=16     →(2)

Taking equation (1), we have

=> 3x+4y = 7

⇒ 3x = -4y+7

⇒ x = (-4y+7)/3  →(3)

Putting x = (-4y+7)/3 in equation (2), we get

=> 2x - 3y = 16

=> 2((-4y+7)/3) - 3y = 16

⇒-8y + 14 - 9y = 48

⇒ - 17y + 14 = 48

⇒ - 17y = 48 - 14

⇒ - 17y = 34

⇒y=-2→(4)

Now, Putting y=-2 in equation (3), we get

=> x = (-4y+7)/3

=> x = (-4(-2)+7)/3

⇒ x = (8 + 7)3

⇒ x = 15/3

⇒ x = 5

∴ x = 5 and y = -2

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Answer:

Tan A = Opposite/ Adjacent

Tan A = 40/9

option D

Step-by-step explanation:

On the second page, last question

Tan is given by a formula opposite divided by the adjacent

Based on the position of the angle, our opposite will be 40 and the adjacent, 9 leaving us with and equation

tan A = 40/9

An equilateral triangle is not a right triangle for which the formula A = 1/2 bh applies. where A is the area, b is the length of the base, and h is the height. This formula does not work because all sides and angles of an equilateral triangle are equal.

Hence, An equilateral triangle is not a right triangle for which the formula A = 1/2 bh applies. where A is the area, b is the length of the base, and h is the height. This formula does not work because all sides and angles of an equilateral triangle are equal.

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Answer:

5

Step-by-step explanation:

add the numbers up

1+2+5+5+6+6+7+8=40

divide it by 8 (because there are 8 numbers)

40/8=5

The value of the final result when 19 is subtracted from 26 will be positive value (7).

According to the question,

We have the following expression:

26-19

Now, we have to find whether the value of this expression will be positive or negative.

We know that when two integers are of different signs then the smaller one is subtracted from the larger one but in the final result the sign remains that of the larger integer.

In this case, 26 is greater than 19 and it is positive.

So, the result will also be positive.

26-19

7

Hence, the value of the final result when 19 is subtracted from 26 will be positive (7).

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Answer:

f(3)=-11

f(-1)=1

f(-2)=4

Explanation:

For each question you would replace the x in the main equation (f(x)=-3x-2) for the number given within f(x).

Therefore,

f(3)=-3(3)-2

=-9-2

=-11

f(-1)=-3(-1)-2

=3-2

=1

f(-2)=-3(-2)-2

=6-2

=4

Answer:

the answer for this is just a coincidence 18: 18 sets of equipment

                                                                   19: 100 tickets

Step-by-step explanation:

this is the answer :)

The compound interest earned on an account with $700 invested at 4.5% for 2 years is $64.42.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

To calculate the compound interest earned, we use the formual below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the compound interest earned is $64.42.

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The speed of boat in still water is 15 m per hour.

What is speed?

The speed of an object, also known as v in kinematics, is the size of the change in that object's position over time or the size of the change in that object's motion per unit of time, making it a scalar quantity. The instantaneous speed is indeed the upper limit of a average speed as that of the length of the interval approaches zero. The average speed of the object in a period of time is equal to the distance travelled by object divided by duration of the period. Velocity and speed are not the same thing.

The dimensions of speed are time divided by distance.

Given, speed of lazy river current = 5

distance covered = 20 miles downstream

and 10 miles upstream

Let x be the speed in still water
(x+5)T = 20

(X-5)T= 10

2(X-5) = (X+5)

X = 15

Therefore, speed of the boat in still water is 15 m per hour

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Answer:

8.5

Step-by-step explanation:

the distance between points X and Y. In other words, to view an image of yourself in a plane mirror, you will need an amount of mirror equal to one-half of your height. A 6-foot tall man needs 3-feet of mirror (positioned properly) in order to view his entire image.

Answer:

$80 original price

Step-by-step explanation:

If 45% of an item is $36 what is the original price?

40% = 0.4

36/0.4 = $80 original price

Answer:

$80

Step-by-step explanation:

45/100=36/x

Cross multiply

45x=100(36)

45x=3600

/45.   /45

x=80

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The system of inequalities that represents this scenario is;

x² - 2y ≥ 7000

2x + 5y < 1000

We are given that;

Value of company's stock = x² - 2y

Now, purchases by the company is modeled by; 2x + 5y

We are now told that the company’s goal is to maintain a stock value of at least $7,000. This means the stock value must be greater than or equal to $7000. Thus, this inequality is;

x² - 2y ≥ 7000

Now, we are told that the purchases must be kept below $1000. This means less than $1000 and as such the inequality is;

2x + 5y < 1000

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Marques played songs in Number of movies = 5 and Number of commercials = 10

A mathematical statement proving the equality of two mathematical expressions is the essence of an equation.  For example, 8x + 3 = 12 is an equation in which the expressions 8x + 3 and 12 are separated by a 'equal' sign.

The system of equations that could be used to determine the number of commercials and the number of movies on which Marques songs were played is illustrated as 30(x + 5) + 120(x) = 900.

The variable x represents the number of times the song has been played in movies.

According to the information, Marques is a songwriter who collects royalties on his songs whenever they are used in a commercial or a movie, and she will earn $30 every time one of his songs is used in a commercial, while he will earn $120 every time one of his songs is used in a movie.

Let x be the number of times the song was heard in movies.

Marques' songs were heard in five times more commercials than in movies. x+5 will be the answer.

As a result, the equation to solve the problem will be:

30(x + 5) + 120(x) = 900

30x + 150 + 120x = 900

150x + 150 = 900

150x = 900 -150

150x = 750

x = 750/150

x = 5

Number of movies = 5

Number of commercial = x + 5

5 + 5 = 10

Therefore Marques played songs in Number of movies = 5 and Number of commercials = 10

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The expression is (11x+i6y)(11x-i6y).

Given:

[tex]121x^{2} +36y^{2}[/tex]

[tex]121x^{2} +36y^{2} = (11x)^{2} +(6y)^{2}[/tex]            

[tex]= (11x)^{2} -(-1)(6y)^{2}[/tex]

[tex]=(11x)^{2} -i^{2} (6y)^{2}[/tex]

[tex]=(11x)^{2} -(i6y)^{2}[/tex]

Formula:

[tex]a^{2} -b^{2} = (a+b)(a-b)[/tex]

[tex]121x^{2} -36y^{2}=(11x+i6y)(11x-i6y)[/tex]

#123

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Expression's factored form over complex numbers (11x + 6iy) (11x-6iy).

Given expression;

[tex]121x^2 + 36y^2[/tex]

Factored form of the expression over the complex numbers;

   [tex]121x^2 + 36y^2[/tex] = [tex](11x)^2 + (6y)^2[/tex]

                    = [tex](11x)^2 -(-1)(6y)^2[/tex]

                    = [tex](11x)^2 - i^2(6y)^2[/tex]

                    = [tex](11x)^2 - (6iy)^2[/tex]

                    = (11x + 6iy) (11x-6iy)

Expression's factored form over complex numbers (11x + 6iy) (11x-6iy).

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The coordinates of (9,4) after the following translation (x, y) (x - 2, y + 1) is (7,5)

What does a coordinate in mathematics mean?

A group of numbers used to express the divisions of two reference axes' positions along the horizontal and vertical axes of a coordinate plane. frequently represented as the union of x-values and y-values (x,y).

Given that

x = x-2

y = y+1

After this we can convert this (9,4) coordinate in the following translation

9-2 = 7

4+1 = 5

Hence now new coordinate after the translation is (7,5)

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The simplified expression can be given as 3y^7

What is exponent?

We we multiply same number multiple times then it we write it in forms of exponent. an exponent shows how many times a multiplied to itself

We are given an expression 3y^3/ y^-4

We multiply numerator and denominator by y^4 to simplify the expression

In the numerator the term gets added and in the denominator +4 and -4 get subtracted getting 0 in the exponent.

And anything raised to 0 is 1

Hence, We get, 3y^7

This is the simplified expression

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Answer:

Yes

Step-by-step explanation:

I will do question 4 so you understand: What there asking is for you to simplify.

This is how you do so.

step 1 find the numbers that have the same letter

Step 2 If you find one for example 7y and 3y you add them which is 10y

Step 3: Any letters that are by them selves and the question doesn't give you a value ignore!

Hope this helps!!

Making x the subject of the formula x/y -z=w is

x = y(w+z)

The subject of a formula is the variable which is expressed in terms of the other variable. For example the volume of a cylinder is V = πr^2h.

where V is the volume and r is the radius and h is the height . In the formula V is expressed in term of other variables like radius and height. Therefore V is said to be the subject of the formula

Relating the explanation with the formula x/y -z= w, here w is the subject and we need to make x the subject.

We achieve this by evacuating other variables attached to x

x/y -z= w

add both sides by z

x/y-z+z= w+z

x/y= w+z

multiply both sides by y

x/y×y=(w+z)y

therefore x= y(w+z)

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Answer:

tttttttttttttttttttttttttttttttttttttttttt

Step-by-step explanation:

tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt

Answer:

---------------------------------------

Slope is negative and therefore it represent a negative correlation.

The matching choice is D

Answer:

d)  The slope is -0.3, which indicates a negative correlation.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Given equation:

[tex]y=3.9-0.3x[/tex]

The slope of a linear equation is the coefficient of the term in x.

Therefore, the slope of the given line of best fit is -0.3.

If the slope of the line of best line is negative, it indicates a negative correlation.

If the slope of the line of best line is positive, it indicates a positive correlation.

Therefore, as the slope is negative, it indicates a negative correlation.

Di-ane plans to walk 6000 steps on day 100.

Given, Di-ane walks 5000 steps each day. She keeps her goal to increase the 10 number of steps. The increase has been modelled using the function.  

A re-lation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a re-lationship between inputs in which each input is connected to precisely one output.

We have to write what does f(100)=6000 represent.

As given in question the function represents the number of steps. and x represent the day.

100 represents the number 100th day, f(100)=6000 represents that Di-ane walks 6000 steps on the 100th day.

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You are buying 3 shirts and 2 pairs of pants. You spend $300. Let x represent the price of the shirt and y represent the price of the pants.

Let

x ----> the price of the shirt

y ---> he price of the pants

we have that

The price of three shirts plus the price of two paints must be equal to $300

so 3x+2y = 300 this is the equation of the line in standard form

Convert to slope intercept form

y = mx+b

Isolate the variable y

3x+2y = 300

subtract 3x both sides

3x+2y-3x = -3x+300

2y = -3x+300

Divide by 2 both sides

y = -1.5x+150

----> equation of the line in slope intercept form

Find out the x-intercept

Remember that the x-intercept is the value of x when the value of y is equal to zero

In this problem, the x-intercept is the price of the shirt when the price of the paints is equal to zero

Using the Standard Form, identify the x-intercept of the graph

The standard form is

Ax+By = C

The x-intercept is C/A

we have

3x+2y = 300

so

300/3 = 100

The x-intercept is the point (100,0)

That means---> The price of the shirt is $100 when the price of the paints is equal to $0

Alternative method to find out the x-intercept (equation in slope intercept form)

y = -1.5x+150

For y=0

0 = -1.5x+150

solve for x

1.5x = 150

x = $100

Hence the x-intercept is the point (100,0)

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Answer:

∴ g(x) = -2x + 10

Step-by-step explanation:

Since f(x) = -x + 5,

g(x) = 2[f(x)]

      = 2(-x + 5)

      = -2x + 10