Consider the diagram shown. what is the angle of x

Answer:

Option A

Step-by-step explanation:

Dennis made an extra $245.00 for selling furniture. The extra $245.00 was 7% of the total value of the furniture he sold. What was the total value of the furniture Dennis sold?

245 = 0.07x

divide both sides by 0.07:

245/0.07 = 0.07x/0.07

x = $3,500

Option A

Solution of the given expression (9/4) -2(4x +4/3) +(5/2)x is equivalent to the following one:

As given in the question,

Given expression is equal to :

(9/4) -2(4x +4/3) +(5/2)x

Solution of the given expression (9/4) -2(4x +4/3) +(5/2)x is equivalent to  the following one:

(9/4) -2(4x +4/3) +(5/2)x

= (9/4) - 2(4x) - 2(4/3) + (5/2)x

Simplify the like terms of the given expression we get,

= (9/4) -(8/3) - 8x + (5/2)x

= (27-32)/12 -8x +(5/2)x

= -(5/12) -8x + (5/2)x

= -(5/12) +((-16+5)/2)x

= -(5/12) -(11/2)x

Therefore, solution of the given expression (9/4) -2(4x +4/3) +(5/2)x is equivalent to the following one:

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The line segment from minus 5 comma 5 to minus 3 comma -1 is 10 Units long.

Given,

The line segment from negative 5 comma 5 to 3 comma negative 1

How can I determine a line segment's length?

A line that is divided into two points on a line is referred to as a line segment.

The line segment from 3 comma negative 1 to negative 5 comma 5 is determined by applying the formula;

Square root of (x₂ - x₁)² +(y₂ - y₁)²

= [tex]\sqrt{(3+5)^{2} +(-1-5)^{2} }[/tex]

= [tex]\sqrt{8^{2}+6^{2} }[/tex]

= √100

= 10 units

That is,

The line segment from minus 5 comma 5 to minus 3 comma -1 is 10 Units long.

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New Orlean experience total rain is 2461 centimeters.

Given:

In 2011, it rained 1. 651 x 10 to the 3rd power centimeter in New Orlean. In 2012 it rained another 8. 1 x 10 to the 2nd power centimeter.

Total rain = rain in 2011 + rain in 2012

= 1.651*[tex]10^{3}[/tex] + 8.1*[tex]10^{2}[/tex]

= 1.651*1000+8.1*100

= 1651 + 810

= 2461 centimeters.

Therefore New Orlean experience total rain is 2461 centimeters.

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Answer: The denominator

Step-by-step explanation:

Remember what I said last time?

The numerator is the number on top

The denominator is the number on the bottom

And the fraction line is well, the line!

Try to remember that the numerator is on top and the denominator is on the bottom.

The way I remember is how both bottom and denom end with the same syllable!

Answer: Denominator.

Step-by-step explanation:

The denominator is the bottom, the fraction line separates the numerator (top number) and denominator (bottom number), and a integer is a whole number.

etyjy6rjtyhyjry6hytkj87u

The linear equation for this situation is

3y = 500+40x

Geroge invest in his friend's startup = $500

let the number of year = y

His friend agree to give 8% of his investment = 500*8/100

                                                                            =4000/100

                                                                              = $40

total money given by his friend = x

so the total return of george would be sum of his investment and his interest of each year.

the number of year is 3, so

y = 3y

so the equation be:

3y = 500+40x

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the correct answer is A because 3x1=3

The solution of two equations y=(2/3)x + 3 and x=-2 is [tex](-2,5/3)[/tex]

Define an equation .

A mathematical statement that shows that two mathematical expressions are equal.

What is a Subsitution method ?

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

The given two equations are y=[tex]\frac{2}{3}[/tex]x + 3 and x=-2  

So on subsituting x=-2 in another given equation ,we get

y=[tex]\frac{2}{3}[/tex] (-2) +3

 =[tex]\frac{-4}{3}[/tex] + 3

On taking LCM both sides ,we get

y=[tex]\frac{(-4+9)}{3}[/tex]

 = [tex]\frac{5}{3}[/tex]

Hence ,the solution of the system of equations is (x,y) is ([tex]-2,\frac{5}{3}[/tex])

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Correct question:

What is the solution of two equations y=(2/3)x + 3 and x=-2 ?

The solution of two equations y=(2/3)x + 3 and x=-2 is  [tex](-2, \frac{5}{3})[/tex]

A mathematical statement that shows that two mathematical expressions are equal.

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

The given two equations are y = [tex]\frac{2}{3}[/tex]x + 3 and x=-2  

So on substituting x=-2 in another given equation ,we get

y = [tex]\frac{2}{3} \times (-2) + 3[/tex]

 = [tex]\frac{-4}{3} + 3[/tex]

On taking LCM both sides ,we get

y = [tex]\frac{(-4 + 9)}{3}[/tex]

= 5/3

Hence ,the solution of the system of equations is (x, y) is [tex](-2, \frac{5}{3})[/tex]

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Correct question: What is the solution of two equations y=(2/3)x + 3 and x=-2 ?

Answer:

Step-by-step explanation:

4+5+1+2=12

1+2=3

4+5=9

12 - all marbles

4 - green marbles

5 - blue marbles

1 - yellow marble

2 - orange marbles

3 - yellow and orange marbles

9 - green or bule marbles

a.  [tex]\frac{3}{12}[/tex] win only when draw 1 yellow or 1 of 2 orange.

b. [tex]\frac{5}{12}[/tex] the mostly likly outcom is for blue marbles, (more than other colour in bag)

c. [tex]\frac{1}{12}[/tex] the least likly outcom is for yellow marble, (less than other colour in bag)

d. [tex]\frac{9}{12}[/tex] propability of lose

[tex]\frac{9}{12} > \frac{3}{12}[/tex] player will lose more likly than win.

Answer:

The answer is $18

Step-by-step explanation:

To solve this all you would do is divide $72 by 4 to get $18

If a diver descends 5 feet below sea level and descends an additional 3 feet, then the integer representation of the diver's location is -8 feet

The number of feet that diver descends below sea level = -5 feet

Which is represented by negative number because which is below sea level, The sea level considered as the reference level  that is represented as zero.

Then the diver descends an additional 3 feet

Then the diver's location = The number of feet that diver descends below sea level - 3 feet

Substitute the values in the equation

= -5 - 3

= - 8 feet

Hence, if a diver descends 5 feet below sea level and descends an additional 3 feet, then the integer representation of the diver's location is -8 feet

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All of the equations given are linear equations

5x + 2zk = 2  Linear equation

2x + 3y = 12   Linear equation

2x = -3           Linear equation

Information given in the question include

5x + 2zk = 2

2x + 3y = 12

2x = -3

A linear function or equation consists of equations where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

m = sw + c

Examining the given equations all of them are of exponents of 1 that is raised to the power of 1. This is how to know linear equations

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The points (1, 5) , (4.5, 1) , (3.5, 2.5) are shown in graph plotted.

In graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related". In a graph the points are plotted using coordinates in the form of (x, y) or (x, y, z) or (r, Ф, z) or (r, θ, Φ) as per need on different types of coordinate graphs.

We have the following coordinates -

(1, 5) , (4.5, 1) , (3.5, 2.5)

The following points are plotted on the graph as shown in the image attached.

For any coordinate -

(x, y)

[x] is plotted along the [x] - axis

[y] is plotted along the [y] - axis

Therefore, the points (1, 5) , (4.5, 1) , (3.5, 2.5) are shown in graph plotted.

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Answer: (1, 5) , (4.5, 1) , (3.5, 2.5)

Step-by-step explanation:

The process for classifying or predicting the value of the target variable of a new observation for given values of predictor variables called is called scoring a card.

In the given question we have to explain what is the process for classifying or predicting the value of the target variable of a new observation for given values of predictor variables called.

As we know that, a score a card is a statistical model generated using information about the portfolio's past performance. The main advantage of categorizing clients using a statistical scorecard is that it gives the client an accurate numerical forecast of their future behavior.

So, the process for classifying or predicting the value of the target variable of a new observation for given values of predictor variables called is called scoring a card.

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The right question is:

What is the process for classifying or predicting the value of the target variable of a new observation for given values of predictor variables called?

Answer:

32

Step-by-step explanation:

i hope this helped

Answer:

y = 4x - 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 2 ) and (x₂, y₂ ) = (6, 10 )

m = [tex]\frac{10-2}{6-4}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then

y = 4x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, 2 ) , then

2 = 16 + c ⇒ c = 2 - 16 = - 14

y = 4x - 14 ← equation of line

Answer:

D 72

Step-by-step explanation:

90(.8) = 72

The amount of time in minutes that the main character was on stage is D. 72 minutes

To determine the amount of time the main character was on stage during the 90-minute school play, we need to calculate 80% of the total duration.

To find 80% of a value, we multiply that value by 0.8 (which is the decimal equivalent of 80%).

In this case, we multiply 90 (the total duration of the play) by 0.8:

90 minutes x 0.8 = 72 minutes

Therefore, the main character was on stage for 72 minutes during the 90-minute school play.

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The age of mother and daughter are 10 and 40 years old, respectively.

Given that,

Mother is 4 times her age. Her daughter's age plus her daughter's age after 8 years equals 66 years.

It can be written into equation as :

Let Mother's age be x

Let daughter's age be y

By using algebra,

x =4y --------> (1)

(x+8) + (y+8) = 66

x+ y = 66-16

x + y = 50--> (2)

Now substitute x = 4y in (2) we get

x + y = 50

4y + y = 50

5y= 50

y = 10 years which means x = 4y = 40 years

Therefore, the age of daughter and her mother is 10 and 40 years respectively.

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Answer:

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

The variable d in the given equation represents the number of minutes that Lilianna spends walking to the park.

Calories that Lilianna uses by sitting = 3/4

Calories that Lilianna uses by walking = calories used sitting + 1 : 1 + 3/4

Calories that Lilianna uses when she walks to the park = calories used per minute when walking x number of minutes spent walking.

Calories that Lilianna uses when she walks to the park = d(1 + 3/4)

12 1/4 = d(1 + 3/4)

d - 12 1/4 ÷ 1 3/4

d = 49 / 4 x 4/7

d = 7 minutes

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Answer:

The equation of the line in fully simplified slope-intercept form is [tex]y=-0.4x-4[/tex]

Step-by-step explanation:

The equation of the line in fully simplified slope-intercept form can be calculated as follows ?

The first step is to calculate the slope [tex]m[/tex] of the given line using the slope formula as follows

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Take two coordinates on the given line

[tex](-5,-2)~ \text{and} ~(5,-6)[/tex]

Substitute [tex]-6[/tex] for [tex]y_{2}[/tex], [tex]-2[/tex] for [tex]y_{1}[/tex], [tex]5[/tex] for [tex]x_{2}[/tex], [tex]-5[/tex] for [tex]x_{1}[/tex]  in the slope formula

[tex]m=\frac{-6-(-2)}{5-(-5)}[/tex]

Take out the brackets in the numerator and the denominator at the right side of the equation

[tex]m=\frac{-6+2}{5+5}[/tex]

Simplify the numerator and the denominator at the right side of the equation

[tex]m=\frac{-4}{10}[/tex]

Convert the value of [tex]m[/tex] into decimal

[tex]m=-0.4[/tex]

The second step is to find the slope-intercept form of the given line by the point-slope form formula as follows

[tex]y-y_{1}=m\cdot (x-x_{1})[/tex]

Take any coordinates on the given line,  take [tex](-5,-2)[/tex]

Substitute [tex]-2[/tex] for [tex]y_{1}[/tex],  [tex]-5[/tex] for [tex]x_{1}[/tex], [tex]-0.4[/tex] for [tex]m[/tex]  

[tex]y-(-2)=-0.4\cdot (x-(-5))[/tex]

Take out the inner bracket on the right side of the equation

[tex]y-(-2)=-0.4\cdot (x+5)[/tex]

Take out the bracket on the left side of the equation

[tex]y+2=-0.4\cdot (x+5)[/tex]

Expand the right side of the equation

[tex]y+2=-0.4x -2[/tex]

Substract [tex]2[/tex] from both sides of the equation

[tex]y+2-2=-0.4x -2-2[/tex]

Simplify the equation

[tex]y=-0.4x -4[/tex]

Hence the equation of the line in fully simplified slope-intercept form is [tex]y=-0.4x-4[/tex]

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Answer:

750000

Step-by-step explanation:

Answer:

x^2+12x-8

Step-by-step explanation:

(x-8)(x+1) = x^2-7x-8

x^2+9x-7x+10x-8

simplify:
x^2+12x-8

Answer: -x^2+26x-8

Step-by-step explanation:

1. Multiply

9x-(x-8)(x+1)+10x

9x-x^2-x+8x-8+10x

2. Combine Like Terms

-x^2+26x-8

Answer: -x^2+26x-8

The ratio of the rainforests to other habitats= 3/47

acc to our question-

hence,The ratio of the rainforests to other habitats= 3/47

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Step-by-step explanation: Graph the line using the slope and y-intercept, or two points.

Slope: 2, 3 and the y-intercept: (0,−5)

x | y

0  -5

3 -3

The y-intercept of the function is 50% which represents; (B) the charge of the battery when Ashley left her house

The general format for the equation of a line in slope intercept form is;

y = mx + b

where;

m is slope

b is y-intercept

Now, the y-intercept is defined as the point where the graph line crosses the y-axis or the point at which x is zero.

The slope is defined as the ratio of change of the vertical axis with the horizontal axis.

From the given linear graph, we can see that;

The line intersects the y-axis at y = 50. Thus;

y-intercept = 50

Now, the y-axis represent the percentage charge remaining on the phone battery while the x-axis shows that number of hours since Ashley left her house. Thus;

When the number of hours is zero, the percentage charge remaining on the phone battery is 50%

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Answer:

Step-by-step explanation:

You need to find the slope of each line to determine if they are parallel. Beginning with AB, you do the formula for slope and get a value of -1/3. Next, you do CD and find it also has a slope of -1/3. Because both of these lines have equal slopes it makes them parallel because they will both be traveling at the same rate and will never get closer or further from each other.

*In order for lines to be perpendicular they need to have inverse slopes

Ex. a slope of 1/2 is perpendicular to a slope of -2

The weekly earning for each year is $135, $520, $2040, $8080

Numbers, symbols and operators grouped together that show the value of something.

Given that, a tutor is starting a business. In the first year, they start with 5 clients and charge $10 per week for an hour of tutoring with each client. For each year following, they double the number of clients and the number of hours each week. Each new client will be charged 150% of the charges of the clients from the previous year

The weekly earnings for 1st year are,

q = $10, p = $25, x = 5, (px+q) = $135

The weekly earnings for 2nd year are,

q = $20, p = $50, x = 10, (px+q) = $520

The weekly earnings for 3rd year are,

q = $40, p = $100, x = 20, (px+q) = $2040

The weekly earnings for 4th year are,

q = $80, p = $200, x = 40, (px+q) = $8080

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Mario's new credit balance including interest is $2579.63

Given,

Mario's current credit balance = $2,109.65

Minimum payment amount = $68.00

The amount Mario plans to spend over the next month = $471.00

APR = 31.99%

We have to find the new balance including interest.

Monthly interest rate on credit card = APR/12 = (31.99%/12)

The credit balance before interest = (current balance) + (expense for next month) - (minimum payment)

= 2109.65 + 471 - 68

= $2512.65

The credit balance after interest = 2512.65 ×   (1 + 0.3199/12) = $2579.63

That is,

Mario's new credit balance including interest is $2579.63

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