What are the The values of X and why that satisfy this equation (x+yi)+(4+9i)=9-4i

The cost of the entrance ticket for a child is $12.80.

Using algebraic expression and equation, we can express each statement and determine the cost of the entrance ticket for a child

Let x = cost of the entrance ticket for a child

y = cost of the entrance ticket for an adult

If the cost of the entrance tickets to the zoo for 2 adults and 3 children is $78.80, then we can express this as:

3x + 2y = $78.80     (equation 1)

If the cost of the entrance tickets for 1 adult and 1 child is $33.10, then we can express this as:

x + y = $33.10     ⇒     x = $33.10 - y     (equation 2)

Substitute equation 2 to equation 1 and solve for y.

3x + 2y = $78.80     (equation 1)

3($33.10 - y) + 2y = $78.80

$99.30 - 3y + 2y = $78.80

3y - 2y = $99.10 - $78.80

y = $20.30

Substitute the value of y to equation 2 and solve for x.

x = $33.10 - y     (equation 2)

x = $33.10 - $20.30

x = $12.80

cost of the entrance ticket for a child = $12.80

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Answer:

Step-by-step explanation:

Set 3y+53 equal to 7y-55

3y+53=7y-55 //subtract 3y

53=4y-55 //add 55

108=4y //divide by 4

y=27

Answer:

C

Step-by-step explanation:

when u take the 2 shortest sides and add them up, they must be greater than the longest length.

The process capability index gauges how much variance a process encounters in comparison to its specification parameters.

We might compare various procedures in terms of the ideal circumstance or whether they live up to our expectations. In the event that the process is not centered, the capability ratio formula is employed.

Process capability uses capability indices to compare an in-control process output to the specification's upper and lower bounds.

Calculated for steady, non-automated processes is the process capability index. The operator is then instructed to check samples at random and center the process.

The processing capability declined.

One would expect to find that the process capability has gotten worse.

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The solution the inequality expression given as 2(7-4k) > 12 or 5 < 0.2(15k + 10) is 0.25 > k > -0.4

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

The inequality expression is given as

2(7-4k) > 12 or 5 < 0.2(15k + 10)

Open the brackets

So, we have

14 - 8k > 12 or 5 < 7.5k + 2

Collect the like terms

So, we have

- 8k > 12 - 14 or 5 - 2 < 7.5k

Evaluate  the like terms

So, we have

- 8k > -2 or -3 < 7.5k

Divide both sides by the coefficient of k

So, we have

k < 0.25 or -0.4 < k

Rewrite as

0.25 > k or k > -0.4

Combine

0.25 > k > -0.4

Hence, the solution is 0.25 > k > -0.4

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Answer:

minimum: 125

Maximum: 175

Step-by-step explanation:

To do this, you know that Jake had a goal of getting $150 in the week. He was within $25 of reaching his goals. This means that he could have $25 less than or more than $150.

You can subtract 25 from 150 to get his minimum:

$150 - $25 = $125

And you can add 25 to get his maximum:

$150 + $25 = $175

The solution of scalar multiplication 2A is Option(D).

[tex]2A = \left[\begin{array}{ccc}10&2&6\\12&8&4\\\end{array}\right][/tex]

The given matrix is:

[tex]A = \left[\begin{array}{ccc}5&1&3\\6&4&2\\\end{array}\right][/tex]

To do the scalar multiplication to determine 2A, just multiply a 2 on every entry in the matrix:

[tex]2A = \left[\begin{array}{ccc}2*5&2*1&2*3\\2*6&2*4&2*2\\\end{array}\right][/tex]

[tex]2A = \left[\begin{array}{ccc}10&2&6\\12&8&4\\\end{array}\right][/tex]

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The result of the expression 3g × [tex](g+r)^2[/tex] - 1, when g = 2 , r = 3 , and t = 11 is 149

The given expression is

3g × [tex](g+r)^2[/tex] - 1

The expression is the mathematical a sentence with a minimum of two variables and at least one math operation, the math operation might be addition, subtraction, division, multiplication etc..

The value of g = 2

The value of r = 3

The value of t = 11

Substitute the values in the expression

= 3×2× [tex](2+3)^2[/tex] - 1

Do the arithmetic operation in bracket first

= 6×[tex]5^2[/tex] - 1

= 150 - 1

= 149

Hence, the result of the expression 3g × [tex](g+r)^2[/tex] - 1, when g = 2 , r = 3 , and t = 11 is 149

The complete question is :

Evaluate the expression  3g × [tex](g+r)^2[/tex] - 1, if g=2, r=3, and t=11

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The ratio (new to original) of the perimeters is equal to 1/2 or 0.5. Also, the ratio (new to original) of the areas is equal to 1/4 or 0.25.

In Mathematics, the ratio of the perimeters of two (2) geometric figures would be equal to the scale factor when the two (2) geometric figures are similar;

Mathematically, the scale factor of a geometric figure can be calculated by using this formula:

Scale factor, z = Dimension of image/Dimension of original figure = y/x

Scale factor, z = 1/2 or 0.5.

In Geometry, the ratio of the areas of two (2) geometric figures would be equal to the square of scale factor when the two (2) geometric figures are similar.

Scale factor, z = (y/x)²

Scale factor, z = (1/2)²

Scale factor, z = 1/4 or 0.25.

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Complete Question:

Dilate a square with vertices (0, 0). (0, 4). (4, 4), and (4, 0) using the scale factor k = 0.5. What is the value of the ratio (new to original) of the perimeters? the areas?

The ratio of the perimeters is

The ratio of the areas is

The formula in terms of x and y for dy/dx is -3y/x

The value of dy/dx at the point (81,16) is -0.5926

The question is incomplete, the full question is given below:

A manufacturer can produce 2970 cell phones when x dollars is spent on labor and y dollars is spent on capital. the equation that relates x and y is [tex]55x^{\frac{3}{4} } y^{\frac{1}{4} } =2970[/tex]

a. Find a formula in terms of x and y for [tex]\frac{dy}{dx}[/tex]

b. Find the value of      dy/dx at the point (81,16). Round your answer to 4 decimal places

Part a

A formula in terms of x and y for [tex]\frac{dy}{dx}[/tex]

We differentiate equation that relates x and y with respect to x by implicit differentiation:

=[tex]\frac{d}{dx} (55x^{\frac{3}{4} } y^{\frac{1}{4} } )=\frac{d}{dx} (2970)[/tex]

=[tex]55(x^{\frac{3}{4} } \frac{d}{dx} (y^{\frac{1}{4} } )+y^{\frac{1}{4} } ((x^{\frac{3}{4} } ))=0[/tex]

=[tex]x^{\frac{3}{4} } y^{\frac{-3}{4} } \frac{dy}{dx} =3y^{\frac{1}{4} } x^{\frac{-1}{4} }[/tex]

= [tex]\frac{dy}{dx} =\frac{-3y^{0.5}x^{-0.5} }{x^{0.75}y^{-0.75} }[/tex]

[tex]=\frac{-3y}{x}[/tex]

=-3y/x

Part b

Value of dy/dx at the point (81,16)

dy/dx at (81,16), x=81, y=16

dy/dx=-3y/x

dy/dx=-3*16/81

dy/dx=-48/81

dy/dx=-16/27

        =-0.5926  

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      There are two possible solutions because a power is involved. This can be shown in the graph. When we graph to the power of 2, we get a parabola. This gives us two x-intercepts, giving us two answers.

      And why is this? When you square a negative number, you get a positive number since a negative times a negative is a positive.

     Example: 2 * 2 equals 4, and -2 * -2 also equals 4. This means both 2² and (-2)² are equal to 4.

      This means that we will get a positive and negative number value that both equal the same thing when being squared, which is why you get two possible solutions to this equation.

Answer:

30.2 meters

Step-by-step explanation:

The key is to realize that a 30 60 90 triangle can be constructed and the height of the house can be found from there. It may be helpful to draw a diagram.
I will use the diagram attached for reference to this solution.

Remember that the answer is asking for y, or the length of DE.

The angle CAB is 30 degrees, and the angle ACB is 90 degrees
The length of CB is 25 * sqrt3
Since ACB is a 30 60 90 triangle, and we know the length of one of the sides, the length of the other sides can be calculated.
CB is the shortest length, and so the middle length, AC, is sqrt(3) times longer than the length of the shortest length, CB

CB's length * sqrt 3 = AC's length = 25 * sqrt3 * sqrt3

AC = 75

length of A to F (I can't combine the letters a and f because then brainly thinks i'm swearing ) = 75 + x = 107

x = 32

Since length of BE = length of CF,

32 = BD + DE = 1.8 + y

y = 30.2 meters

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If the children sold 50 cups of lemonade one the first day and 90 cups on the second day. then the percentage increase in the number of lemonade cups sold 80%

The number of cups of lemonade sold on first day =  50 cups

The number of cups of lemonade sold on second day = 90 cups

The percentage increase = (New value - Old value)/Old value × 100

Substitute the values in the equation

The percentage increase in the number of lemonade cups sold

= [tex]\frac{90-50}{50}[/tex]×100

= 0.8×100

= 80%

Hence, if the children sold 50 cups of lemonade one the first day and 90 cups on the second day. then the percentage increase in the number of lemonade cups sold 80%

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Answer:

90-50/50 = P/100

Step-by-step explanation:

This is the correct answer on T4L!

Answer:

hola amigos como estan me saludan

Answer:

You should ask your teacher what the heck that means!

Step-by-step explanation:

But still, -7+10=3

Answer: 50

Step-by-step explanation: Common factor of 150 and 350 = 1, 2, 5, 5. Highest common factor of 150 and 350 = 2 × 5 × 5 = 50.

Table A doesn't represent the constant of proportionality.

Table B doesn't represent the proportional relationship.

Treat the values in table as (x,y) values. The result is a linear function

For A, 85/5 = 17 while 79 / 10 = 7.9. This doesn't illustrate a constant.

For B, 1.49/16 and 1.59/20 have different values. In this case, 1.49/16 = 0.093 and 1.59/20 = 0.0795.

Therefore. they don't have a constant of proportionality. This was because the values that were gotten for both A and B aren't equal.

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Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would the constant of proportionality be?

1. How loud a sound is depending on how far away you are

5 85

10 79

20 73

40 67

b. The fountain drinks at hot dog hut.

16 1.49$

20 1.59$

30 1.89$

Work Shown:

[tex](x_1,y_1) = (1,1) \text{ and } (x_2,y_2) = (8,8)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{8 - 1}{8 - 1}\\\\m = \frac{7}{7}\\\\m = 1\\\\[/tex]

Answer:

Choice A

Step-by-step explanation:

The line we need to find has the same slope as the slope of the given line which is 3.

The equation that is parallel to y = -3x + 7 and passes through the point (2, -1) is y=-3x+5.

The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis.

y=mx+b

where m is the slope of the line and b is the y intercept.

The slope of the given equation,

y=-3x+7 is -3.

So, to write an equation parallel to the given equation and set of points, use point slope form and the slope of -3

y-y₁=m(x-x₁)

where (2,-1)  are x₁, y₁

y-(-1)=-3(x-2)

y+1=-3(x-2)

Multiply with 3 on RHS side

y+1=-3x+6

We have to write in slope intercept form, so shift 1 to RHS.

y=-3x+6-1

y=-3x+5

As you can see, the slope of this line is -3

, which means that the two equations are parallel to each other.

Hence y=-3x+5 is the equation that is parallel to y = -3x + 7 and passes through the point (2, -1).

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Answer:

slope = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = C (1, 3 ) and (x₂, y₂ ) = B (4, 7 )

m = [tex]\frac{7-3}{4-1}[/tex] = [tex]\frac{4}{3}[/tex]

Answer:

$74.00

Step-by-step explanation:

Two tickets at $37 apiece, we cal calculate a total by adding 37 + 37,

OR by multiplying

2×37

Either way, the total works out to be $74

1) Notice that, in this case, the center is at (0,0) the focus at (0,4) and the Vertex is at (0,7)

2) Since the focus is at the y-axis, and the center is at the origin we can start from the following formula:

Option (C) is correct which is the equation 4 w + ( − 4 p ) = 8 . 00 is the result of subtracting the second equation in the system from the first equation.

Mai and Tyler are selling items to earn money for their elementary school.

Mai sells 14 wreaths and 3 potted plants and the school earns $70.50. Mathematically we can write,

14 w + 3 p = 70.50                          equation 1

Tyler sells 10 wreaths and 7 potted plants and the school earns $62.50. Mathematically we can write,

10 w + 7 p = 62.50                           equation2

equation 1 - equation 2 , we get

4 w + ( - 4 p ) = 8.00

which is the required equation.

We can conclude that the equation 4 w + ( − 4 p ) = 8 . 00 is the result of subtracting the second equation in the system from the first equation

So, option (C) is correct.

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122

Step-by-step explanation:

u just say 10 950 dividied by 90 which is 121 recurring and then u say 121 plus 1 because it has a remainder

Using the equation y = 12.4/20, the amount of time it would take to read a book that has 424 pages is: A. 262.88 min.

The equation, y = kx, represents a proportional relationship where the value of k is the unit rate of the relationship between the two variables, x and y.

In the scenario given:

To find how long it will take to read a book with 424 pages, substitute x = 424 into the equation y = 12.4/20x:

y = 12.4/20(424)

y = 262.88 minutes.

To read 424 pages, it will take: A. 262.88 min.

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To determine whether or not this system has a solution, we proceed as follows:

Now, we use the quadratic function to solve, that is:

From this, we have that the system has two solutions, we determine which replacing x in one of the functions, that is:

One solution is the point (-1, 4).

And, another solution is the point (-5, 8).

We can see each solution in the following graph:

Answer:

1,3,5,7,17,23

Step-by-step explanation:

Answer: 3x - 10 = -3x + 8 Add 3x to both sides 6x - 10 = 8 Add 10 to both sides 6x = 18 Divide both sides by 6x = 3

Step-by-step explanation: