. Una herencia de $195 000 se va a repartir
entre tres personas. La segunda recibe la mi-
tad de lo que recibe la primera. La tercera la
cuarta parte de lo que recibe la segunda.
¿Cuánto dinero recibe la primera persona?

Answer:

To solve the equation y = -5/2x - 7, we can first multiply both sides of the equation by 2x + 7, which is the denominator of the fraction on the right-hand side. This gives us the equation 2xy + 7y = -5, which we can rearrange to isolate the variable y on one side of the equation. Dividing both sides of the equation by 2x + 7, we get y = -5 / (2x + 7). This is the solution to the original equation.

Step-by-step explanation:

Simplify each term.

y= −5 x2 −7

Answer: .

Step-by-step explanation: ..

Option B is correct, the perimeter of the entire design is 64cm.

In the design, there are two congruent trapezoids stitched together.

So, the given length = 14cm & base = 9cm

There are 4 bases and 2 lengths.

So, the perimeter of a trapezoid is

= length + base

= 14 x 2 + 9 x 4

= 64 cm.

So, the perimeter of the entire design is 64 cm.

The perimeter of a trapezoid is the sum of the lengths of every facet of the trapezoid. A trapezoid is a quadrilateral that has aspects parallel to each different and non-parallel aspects termed bases and legs respectively. The perimeter of a trapezoid is defined as the overall length of the boundary of the trapezoid. A trapezoid is a -dimensional shape (2nd shape) and an irregular polygon. thus, the perimeter of the trapezoid is calculated by including the period of all its aspects.

The perimeter of a trapezoid is expressed in linear units like, 'inches', 'feet', 'meters' or 'centimeters', and many others. The formulation of the perimeter of a trapezoid is a simple one wherein the duration of all 4 sides is added. study the trapezoid ABCD given below wherein aspects AB and CD (bases) are parallel to each other while ad and BC (legs) are non-parallel sides.

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Complete question: -

Cameron makes a quilt design using four congruent What is the perimeter of the entire design? triangles as shown below.

Answer:

Its most likely in Smavile

Step-by-step explanation:

S - Smavile

F - Fancyville

[tex]p_{s} = 150+ 0.041*2800 \\p_{s} = 150 + 114.8 = 264.8\\\\p_{f} = 250 + 0.198*2800\\p_{f} = 250 + 554.5 = 804.5[/tex]

264.8 * 1000 (its in thousands of dollars) = 264,800

The Poster Dimensions of rectangle will be:

W = 18 inches

Y = 36 inches

Area can be defined as the amount of space covered by a plane of a particular shape. It is measured in "number" of square units (square centimeters, square inches, square feet, etc.). The area of ​​a rectangle is the number of unit squares that fit in the rectangle. Examples of rectangles are flat surfaces such as laptop monitors, chalkboards, and painting canvases. You can use the rectangle area formula to find the space occupied by these objects.

Now,

Let's say the printable area of ​​a rectangular poster is 512 square inches

"x". " and "y" - the dimensions of the printed area of ​​the poster

A(p) = printed area of ​​the poster = x × y

512 = x × y ⇒ y = 512/x

Therefore, The total area of ​​the poster is:

A( t) = ( y + 4 ) ×  ( x + 2 )

⇒ A(t) = yx +2y +4x + 8 and y = 512/x

Total Area of x or Total poster area as x function:

   A(x) =( 512/x)*x + 2* (512/x) + 4*x + 8

   A(x) = 512 + 1024/x + 4 *x + 8

⇒ A(x) = 520 + 1024/x + 4*x

Differentiating both sides of the equation gives:

     A´(x) = - 1024/x² + 4

     A´(x) = 0

⇒ - 1024 /x² = -4

⇒  4*x² = 1024

⇒ x² = 1024/4

⇒ x² = 256

or, x = 16 inches

and y = 512/x

⇒ y = 512/16

⇒ y = 32 inches

So x is found, the y dimension of the print area, Than n is the dimension of the poster:

Therefore,

w = x + 2 ⇒ w = 16 + 2 w = 18 in

And,

Y = y + 4 ⇒ Y = 32 + 4 Y = 36 in

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Answer: 5/7+y is the answear

Step-by-step explanation:

∛

Answer:

B

Step-by-step explanation:

The linear equations for each situation would be: F = 6t + 100 and S = 16t + 30.

The amount of money Skylar and Faith would have saved in the week that they both have the same amount of money saved is: $142.

A linear equation that models a situation can be expressed as y = mx + b, where the unit rate or slope value is represented as m, and the y-intercept or initial value (starting value) is the value of b.

Equation that represents the savings made by Skylar:

Unit rate (m) = $16 per week

Starting value/y-intercept (b) = $30

S = y

t = x

The equation for Skylar would be written by substituting m = 16 and b = 30 into S = mt + b:

S = 16t + 30.

Equation that represents the savings made by Faith:

Unit rate (m) = $6 per week

Starting value/y-intercept (b) = $100

F = y

t = x

The equation for Skylar would be written by substituting m = 6 and b = 100 into F = mt + b:

F = 6t + 100.

They will both saved the same amount of money, when F = S. Therefore:

16t + 30 = 6t + 100

Solve for t

16t - 6t = -30 + 100

10t = 70

t = 7

Substitute t = 7 into any of the equations:

6t + 100 = 6(7) + 100

= 142.

Therefore, they would both save $142.

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Answer:

To find out how many vans are needed for the field trip, we need to divide the number of students by the capacity of each van. In this case, there are 69 students going on the trip, and each van holds 9 students, so we have

69 students / 9 students/van = <<69/9=7>>7 vans

Therefore, 7 vans are needed for the field trip.

Step-by-step explanation:

Answer:You would do 51/8 and you would get 7 vans

Step-by-step explanation:

The minimum number of elements required for the construction of  a quadrilateral uniquely are 5 elements.

Explanation:

The minimum number of elements required for the construction of  a quadrilateral uniquely are  as follow:

Therefore, minimum 5 elements are required to construct a unique quadrilateral.

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The vertex of the function g(x)=-2x²- 14x +12 is (-7/2, 25/2).

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given function is g(x)=-2x²- 14x +12

We need to find the vertex of the function.

y=-2x²- 14x +12

To make it a perfect square we are adding and subtracting (7/2)²

y=-2x²- 14x +(7/2)²+12-49/4

y=-2(x+7/2)²+25/2

x+7/2=0

Subtract 7/2 on both sides

x=-7/2

and y=25/2

Hence, the vertex of the function g(x)=-2x²- 14x +12 is (-7/2, 25/2).

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Answer:

x ≤ -13/2   ∨   -2≤ x ≤ 2

Step-by-step explanation:

-x²(2x + 13) + 4(2x+ 13) ≥ 0

(2x+13)(-x²+4) ≥ 0

(2x+13)(2+x)(2-x) ≥ 0

2x + 13 ≥ 0

2x ≥ -13

2/2 x ≥ -13/2

x ≥ -13/2

2+ x ≥ 0

x ≥ -2

2 - x ≥ 0

-x ≥ -2

x ≤ 2

         -13/2.             -2.               2

-                       +.                +.            +

-                        -                 +.            +

+.                      +.                +.            -

+.                      -                  +.             -

x ≤ -13/2   ∨   -2≤ x ≤ 2

according to the question

given data in the question,

the foci of an ellipse are (5,0) and (-5,0)

and vertices are (8,0) and (-8,0)

** Standard Form of an Equation of an Ellipse is  

where Pt (h k) is the center. (a variable positioned to correspond with major axis)

a and b  are the respective vertices distances from center

and  are the foci distances from center: a > b

Recommend sketching it...Foci (-5,0) (5,0) and Vertices (8,0) (-8,0).

then using √(64+b^2  )=5 to find b

64 - b^2 = 25, b = √ 39

**** The standard form of the equation is an ellipse

where Pt (h, k) is the center. (variable aligned to match long axis)

a and b are the respective vertex distances from the center.

and   are the distances from the center to the focal point.

a > b

hyperbolic equations in normal form,

C (h, k) and 2b units up and down from the centre at vertex 'b' Horizontal axis length

Focus units up and down from the center along x = h

& asymptotes straight line through C (h, k) with slope m = b/a

after that.

C (h, k) and corner 'a' are units left and right of the center, 2a is the length of the horizontal axis

The focal points are units left and right of the center along y = k.

asymptotes straight line through C (h, k) with slope m = b/a

parabolic vertex form open to the top (a>0) or bottom (a<0 x=removed>0) or left (a<0),

where (h, k) is the vertex and y = k is the line of symmetry.

The standard form is where the focus is (h + p, k )

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** Standard Form of an Equation of an Ellipse is  

where Pt (h k) is the center. (a variable positioned to correspond with major axis)

a and b  are the respective vertices distances from center

and  are the foci distances from center: a > b

Recommend sketching it...Foci (-5,0) (5,0) and Vertices (8,0) (-8,0).

then using √(64+b^2  )=5 to find b

64 - b^2 = 25, b = √ 39

**** The standard form of the equation is an ellipse

where Pt (h, k) is the center. (variable aligned to match long axis)

a and b are the respective vertex distances from the center.

and   are the distances from the center to the focal point.

a > b

hyperbolic equations in normal form,

C (h, k) and 2b units up and down from the center at vertex 'b' Horizontal axis length

Focus units up and down from the center along x = h

& asymptotes straight line through C (h, k) with slope m = b/a

after that.

C (h, k) and corner 'a' are units left and right of the center, 2a is the length of the horizontal axis

The focal points are units left and right of the center along y = k.

asymptotes straight line through C (h, k) with slope m = b/a

parabolic vertex form open to the top (a>0) or bottom (a<0 x=removed>0) or left (a<0),

where (h, k) is the vertex and y = k is the line of symmetry.

The standard form is where the focus is (h + p, k )

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The equation of the ellipse with foci as (5,0) and (-5,0) is

[tex]\frac{x^2}{49}+\frac{y^2}{24}=1[/tex]

A plane section of a right circular cone that is a closed curve is produced by a point moving in such a way that the sum of its distances from two fixed points is a constant.

Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 is the equation in standard form for a conic section. Here, A, B, C, D, E, and F are all real integers, and A 0, B 0, and C 0. The conic section is an ellipse if B2 - 4AC 0.

where the center is Pt(h,k). (a variable placed such that it lines up with the main axis)

The relative vertices' distances from the center are a and b.

the foci's separations from the center are: a > b

It's suggested that you sketch it: Vertices (-7,0), Focus (-5,0), and (5,0). (7,0).

then finding b 

 when 49 - b2 = 25.

The relative vertices' distances from the center are a and b.

furthermore, 

the foci's separations from the center are: a > b

The equation for an opening up and down hyperbola

 having C(h,k), vertices "b" units up and down from the center, and a transverse axis length of 2b.

Foci

29 units away from the center, along x = h

& Asymptotes Lines Through C(h,k), Slope m = b/a

Equation of a Hyperbola Opening Right and Left Standard Form:

with C(h,k), vertices 'a' units to the right and left of the center, and 2a the transverse axis length

y = k along 29 units to the right and left of the center

& Asymptotes Lines through C(h,k), slopes m = b/a

 is the vertex form of a Parabola with an opening up (a>0) or down (a0).

where the vertex is (h,k), and the line of symmetry is (x = h).

The conventional form is  with (h,k + p) as the main focus.

the vertex form of a Parabola opening right(a>0) or left(a0).

where y = k is the Line of Symmetry and (h,k) is the vertex

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Given that the client requested a permanent haircut, there is a 66.66% chance that he would request a haircut.

The following calculation must be performed in order to determine the probability that a randomly selected client requested a haircut given that he has requested a permanent: Given that a salon owner noted what types of services its clients requested last week, the results showed that 5% requested dye only, 30% haircut and dye, 35% requested haircut only, 10% hair cut and permanent, 5% permanent only, and 15% other.

Add all of the options that include a perm, and then use a cross multiplication to figure out how many of those options include a haircut.

10 (permanent and haircut) x 5 (permanent only) = 15 15 = 100 10 = X 10 x 100/15 = 66.66 = X

Thus, the probability that a randomly selected client would have requested a haircut given that he had previously requested a permanent is 66.66%.

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Full Question = a salon owner noted what types of services its clients requested last week. Here are the results. 5% dye only, 30% haircut and dye, 35% haircut only, 10 % haircut and permanent, 5% permanent only, and 15% other. Find the probability that a randomly chosen client requested a haircut given the requested a permanent. P(haircut l permanent).

A) g(5)=(5+1)2

6*2

12

b) (2m+4)2

4m+8

C) (9+1)2

10*2

20

The continuous functions at x = -4 are given as follows:

The function is continuous when it has these two features:

For the definitions in this problem, we have that:

For the first two functions, the function can be simplified as follows:

(x² - 16)/(x + 4) = [(x - 4)(x + 4)]/(x + 4) = x - 4.

Hence the limit at x = -4 is given as follows:

-4 - 4 = -8.

Meaning that the second function is continuous at x = -4.

For the last two functions, the function can be simplified as follows:

(x² + 8x + 16)/(x + 4) = (x + 4)²/(x + 4) = x + 4.

Hence the limit at x = -4 is given as follows:

-4 + 4 = 4.

Meaning that the fourth and last function is also continuous at x = -4.

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The scale factor equal to 1 will have No Effect on the dimensions of the image being scaled .

In the question ,

it is given that ,

the scale factor is = 1.

we have to find the effect of change ;

we know that ,

when the value scale factor is greater than 1 , then dimensions of new image is larger than original .

when the value of scale factor is 1 , then there is no change in the dimensions of the image .

when the value of scale factor is less than 1 , then the dimensions of new image is smaller than the original .

Therefore , if the scale factor is 1 , then there is no change in the dimensions of the image .

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The equation for each line is 5x-y=6 by using slope and the given points that are passing through the line.

The slope or gradient of the line is a numerical value used to describe a line's steepness and direction in mathematics. It was first used to describe slope in O'Brien's (1844) and Todhunter's (1888) versions of the equation for a straight line, which are both written as "y = mx + b" and "y = mx + c," respectively.

Calculating slope involves comparing the "vertical change" to the "horizontal change" between any two points on a line, or any two points.

The lines are passing through the points (2, 4) and (1, -1)

Slope m =(y₂-y₁)/(x₂-x₁)

m=(-1-4)/(1-2)

m= -5/-1

m=5

The equation of the line with slope m=5 and passes through the point

(2, 4)

y-y₁=m(x-x₁)

y-4=5(x-2)

y-4=5x-10

5x-y=6

The equation of the line with slope m=5 and passes through the point

(1, -1)

y+1=5(x-1)

y+1=5x-5

5x-y=6

Therefore, the equation for each line is 5x-y=6.

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The length of the rectangle is 6m - 2.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Area = 30m² - 20m - 10

Width = 5m - 5

Now,

Area = Length x Width

30m² - 20m - 10 = Length x (5m - 5)

10(3m² - 2m - 1) = Length x (5m - 5)

10(3m² - (3 - 1)m - 1 = Length x (5m - 5)

10 (3m² - 3m + m - 1) = Length x (5m - 5)

10 (3m(m - 1) + 1(m - 1)) = Length x (5m - 5)

10 (3m + 1)(m - 1) = Length x 5(m - 1)

(m - 1) gets canceled.

10(3m - 1) = Length x 5

2(3m - 1) = Length

Length = 6m - 2

Thus,

6m - 2 is the length of the rectangle.

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The required pounds of Bolivian coffee and Colombian coffee are 2500 and 1500 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as ax + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are direct conditions in two factors.

Let x be the pound of Bolivian coffee and y is that of Colombian coffee.

Bolivian coffee sells for $4.59 per pound, and Colombian coffee sells for $5.95 per pound and whole mixture sells for $5.10.

So,  4.59x + 5.95y = 5.10(4000)

4.59x + 5.95y = 20400--------------------(1)

and x + y = 4000-----------------------------(2)

On solving above two equation, we get

x = 2500 pounds and y = 1500 pounds

Thus, required pounds of two coffees are 2500 and 1500.

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The required expected crime when income decreases by 1000 is 50.

In property crime, a victim's property is taken or obliterated, without the utilization or danger of power against the person in question. Local misdemeanors incorporate thievery and robbery as well as defacing and incendiary.

We have,

crime = 428 + 0. 050 income

If the income goes down by 1, crime goes down by 0.050.

Similarity, if income goes down by 1000, crime goes sown by 0.050(1000)

⇒ 50

Thus, the expected crime is 50.

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Answer: I believe yes, as it is simply a multi-variable equation.

Step-by-step explanation: if im wrong, tell me

By using percentage, it can be calculated that-

13) Option c is correct

15) Option d is correct

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example 7% means [tex]\frac{7}{100}[/tex]. Here 7 is expressed as a fraction of 100.

13) Original price of a tablet = $330

Rate of discount = 15%

Discount = [tex]\frac{15}{100}\times 330[/tex] = $49.5

Price after discount = $(330 - 49.5) = $280.5

Amount of money paid by Jeremiah = $302.94

Sales Tax = $(302.94 - 280.5) = $22.44

Rate of sales tax = [tex]\frac{22.44}{280.5} \times 100[/tex] = 8%

Option c is correct
15) Average cost of a bag of popcorn at the movie theatre in 1995 = $3.50

Average cost of a bag of popcorn at the movie theatre in 2015 = $4.75

Increase in cost = $(4.75 - 3.50) = $1.25

Percentage increase in cost = [tex]\frac{1.25}{3.50} \times 100[/tex] = 35.7% increase

Option d is correct

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Slope is a measure of how much a line changes in the y-direction for every unit of change in the x-direction. It is typically represented by the m in the equation y = mx + b. Line through points -5, -10, and -1 has a slope of 5.

Slope is calculated by taking the difference in the y-coordinates divided by the difference in the x-coordinates of two points on a line. Since we only have one point, we cannot calculate the slope .The slope of a line is equal to the change in y divided by the change in x. We can calculate the slope by subtracting the y-coordinates and then dividing by the difference of the x-coordinates. In this case, the change in y is (10 - (-5)) = 15 and the change in x is (5 - (-1)) = 6. Therefore, the slope of the line is 15/6 = 5.

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The amount of money lost per year is 15x

Where 100x can be any amount

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Let the total amount of money earned in a year from the field = 100x

The new field area.

= 100% - 15%

= 85%

Now,

The amount of money earned in a year from the new field area.

= 85% of 100x

= 85x

Now,

The amount of money lost per year.

= 100x - 85x

= 15x

Thus,

If 15% of the field is reduce the amount of money lost per year is 15x

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Answer: There are only a few similar congruent triangles.

Step-by-step explanation:

Answer:25

Step-by-step explanation:

just think its so easy

Answer:

25

Step-by-step explanation:

The slope intercept form of equation of required line is y = 3x + 9

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If  [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m =  [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

Slope = 3

The line passes through (8, 33)

Equation of required line

y - 33 = 3(x - 8)

y - 33 = 3x - 24

y = 3x - 24 + 33

y = 3x + 9

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The probability that the same number appears twice is 0.16

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The fair die is thrown twice.

The total number of outcomes if a fair die is tossed twice is 36.

The favorable number of outcomes, which also contains six, is six.

Following is a calculation of the likelihood of the same number appearing twice.

Probability = (Number of possible outcomes)/(Total number of outcomes)

                  = 6/36

                  = 0.16

So, the probability is 0.16

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