A vote for the Best Dancer of the Year was held last week. Patricio received 65% of the votes. A total of 80 people voted. How many votes did Patricio receive?

Answer:

Second question in Assignment = A) 14

Step-by-step explanation:

x^2 = 14x +49

Answer: 14

Step-by-step explanation:

The first one is 25/4 then 14

Answer:

  1 = 1; 2 = 3 -1; 3 = 3; 4 = 3 +1; 5 = 9 -3 -1;

  6 = 9 -3; 7 = 9 -3 +1; 8 = 9 -1; 9 = 9; 10 = 9 +1

  11 = 9 +3 -1; 12 = 9 +3; 13 = 9 +3 +1

Step-by-step explanation:

You want the numbers 1 – 13 expressed in terms of the digits 1, 3, 9 using operations +, -, and ×.

The digits 1, 3, 9 represent the place values of numbers in base 3. This means we can use the base-3 representation of a number to give a clue as to how to represent it using these digits.

The digits of a base 3 number are 0, 1, 2. We don't have a 2 to work with, but we know that 2 = 3 -1, so we can use that fact. Here is an example:

  5 = 12₃ = 1×3 + (3 -1)×1 = 3 +3 -1

  = 20₃ -1 = (3 -1)×3 -1 = 9 -3 -1

After writing a few numbers, we notice the signs go in the progression +, -, 0 where 0 means the digit is not included. The attachment shows the sums that make the numbers 1–13.

__

Additional comment

We could, of course, use the allowed "other digits" to include 2. For example, ...

  5 = 3 + 2×1

  6 = 2×3

<95141404393>

Answer:

Despite the full question not being in place the anwser your looking for is 10 inches.

Answer:

10 inches

Step-by-step explanation:

The ERD for the described situation would include entities such as county jails, mental health facilities, shelters, hospitals, and a coordinating database. Relationships between these entities would allow for coordination and prediction of the type of assistance individuals may need to reduce their involvement in the justice system.

The ERD for the Miami-Dade County court system's database would include the following entities:

County Jails: Represents the jails within the county system where individuals may be incarcerated.

Mental Health Facilities: Represents the facilities that provide mental health services and support.

Shelters: Represents the shelters that offer temporary housing and assistance to those in need.

Hospitals: Represents the healthcare institutions where individuals receive medical treatment.

Coordinating Database: Represents the central database that coordinates activities and stores information from all the other entities.

The relationships between these entities would be established through appropriate connections:

County Jails to Coordinating Database: This relationship would allow for the exchange of information about individuals in the jail system, including their personal history and involvement in the justice system.

Mental Health Facilities to Coordinating Database: This relationship would facilitate the sharing of information regarding individuals' mental health needs and treatment plans.

Shelters to Coordinating Database: This relationship would enable the coordination of housing services and assistance programs for individuals in the justice system.

Hospitals to Coordinating Database: This relationship would allow for the integration of medical records and healthcare services for individuals involved in the justice system.

These relationships and the information stored in the coordinating database would serve as the foundation for algorithms to predict the type of help individuals might require to reduce their involvement in the justice system.

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Answer:

-24

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

Answer:

y= 9 ( 5 dollars bill)

x=10 ( one dollar bill)

Step-by-step explanation:

let x be the one dollar bill and y the 5 dollar bill

x+y=19 ⇒ x=19-y

x+5y=55 ( solve by substitute x=19-y)

19-y+5y=55

4y=55-19

4y=36 ⇒ y=36/4

y= 9 ( 5 dollars bill)

x+y=19

x+9=19

x=19-9

x=10 ( one dollar bill)

check :

x+5y=55

10+5(9)=

10+45 = 55 dollars

The average change in distance for each increase of 1 in the iron number is -10, and the y-intercept of the graphs are not the same

From the graph, we have the following points:

(x,y) = (4, 145) and (3,155)

The average change in distance is calculated using:

\(m = \frac{y_2 - y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{155 - 145}{3 - 4}\)

Evaluate

m = -10

Hence, the average change in distance for each increase of 1 in the iron number is -10

The rate, -10 in (a) means that:

The distance decreases by 10 yards for each number of iron

The y-intercept is the point where the graph crosses the y-axis

From the attached graphs, we have:

Hence, the y-intercept of the graphs are not the same

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Answer:

$4.80. Per lbs

Step-by-step explanation:

Answer:

4.80$

Step-by-step explanation:

24 divided by 5 is 4.8

Mode

2 x 5 = 10

6 x 5 = 30

5 x 5 = 25

3 x 5 = 15

7 x 5 = 35

8 x 5 = 40

9 x 5 = 45

2 x 5 = 10

4 x 5 = 20

7 x 5 = 35

4 x 5 = 20

7 x 5 = 35

The mode is 35 because it is repeated 3 times.

the answer of all the 5 expressions is given as : 0, 14, 49, -49, -14 respectively.

What is mathematic expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Here the given expression are :

1)  |-7| - 7 :

now, here considering the modulus value of -7 as 7 that is positive only :

 |-7| - 7 = 7-7 = 0

2) 2|-7| = 2x 7

   2|-7| = 14

3) (-7)² = -7 x -7 = 49

4) -7² = -(7 x 7) = -49

5) -7 -|-7| = -7 - 7 = -14

it should be noted that we have considered only positive value of modulus function only.

Therefore, the answer of all the 5 expressions is given above.

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The given mixed fraction 5 1/4 can be expressed as 21/4 in improper fraction.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

A mixed fraction is one that has both a correct fraction and a whole number portion, and whose value is consistently greater than 1. An example of a mixed number is 325 3 2 5. When the numerator is always higher than or equal to the denominator, the fraction is said to be inappropriate.

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Answer: 0.47

Step-by-step explanation:

The probability that Matt does not get any red counters is equal to the probability that in both random selections, Matt gets a green counter.

For the first selection, we have a total of 10 counters, 3 red and 7 green, then the probability of getting a green one is:

p = 7/10.

For the second selection, we have 9 counters, 3 red and 6 green (because one green is already taken)

then the probability of getting a green one is:

p = 6/9

And the joint probability of both events is equal to the product of the probability of each event, this is:

p = (7/10)*(6/9) = 42/90 = 0.47

Answer:

Options (B), (C) and (F) are correct.

Step-by-step explanation:

Properties of a rhombus,

1). All sides of a rhombus are equal in measure.

2). Both the diagonals of a rhombus are the perpendicular.

3). Diagonals bisect the vertex angles.

By these properties of a rhombus,

Option (B): PR is perpendicular to QS.

Option (C): ∠QPR ≅ ∠SPR

Option (F): PQ ≅ QR

Therefore, options (B), (C) and (F) are correct.

Answer:

B, C, F, and E are all correct.

Step-by-step explanation:

The solution to the equation does not exist

From the question, we have the following parameters that can be used in our computation:

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

Answer:

y=-5/14x+3/7

Step-by-step explanation:

Cause i did the math and y=-5/14x+3/7 is the answer

y= −5/14x + 3/7

^^ Good luck.

1003 more square feet of wallpaper for the living room than the family room when family room is with dimensions (l = 3x, b = 3x, h = x), living room is with dimensions (l = 5x, b = 3x, h = x) and doors are with dimension (b =3,    h = 7) {where x = 8}. This can be obtained by forming equations for the given figures.

Given that,

dimensions (l = 3x, b = 3x, h = x) and there is one door (b =3, h = 7)

expression of square feet of wallpaper for family room,

⇒ area of four walls - area of one door= [(3x)(x)+(3x)(x)+(3x)(x)+(3x)(x)] - [3×7]

                                                               =[3x²+3x²+3x²+3x²] - 21

                                                               =12x² - 21 square feet

Given that,

height and width are same as of the family room but length is 5 times more than height [length = 5(height) ⇒ l = 5x]

dimensions (l = 5x, b = 3x, h = x) and there is two doors (b =3, h = 7)

expression of square feet of wallpaper for family room,

area of four walls - area of two doors= [(3x)(x)+(5x)(x)+(3x)(x)+(5x)(x)] - 2[3×7]

                                                               =[3x²+5x²+3x²+5x²] - 2(21)

                                                               =16x² - 42 square feet

total amount of wallpaper needed

⇒wallpaper for family room + wallpaper for living room = 12x²-21 + 16x²-42

                                                                                        =28x²-63 square feet

Area of wallpaper of living room - area of wallpaper of family room

= 1750 - 747

= 1003 square feet

Hence 1003 more square feet of wallpaper for the living room than the family room when family room is with dimensions (l = 3x, b = 3x, h = x), living room is with dimensions (l = 5x, b = 3x, h = x) and doors are with dimension (b =3,    h = 7) {where x = 8}.

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Answer:

.....................

In the following question, the Total cost to production 50 barstools: $1,200 Total cost to produce 51 barstools: $1,228.91 "Total cost to produce 52 barstools: $1,258.44" Total cost to produce 53 barstools: $1,288.59 Therefore, the approximate total cost of producing 53 barstools is $559.15.

The cost function for producing $x$ items of a certain brand of barstool is given by C(x)=0.01x3-0.6x2+13x+200.

(a) C(x)=0.03x3- 0.12x2+13

(b) MC(50)=-82 dollars per barstool.

It approximately represents the cost of producing the 50th barstool.

(c) The exact cost of producing the 51st barstool is C51=C50+MC(50)=$28.91 dollars.

(d) Using C(50) and MC (50), the total cost of producing 53 barstools is approximately C50+(53-50) MC(50)=$229.82.

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The component form of the vector that describes the drummer's movement is <4, -3>.

The component form of a vector is given by the difference between the coordinates of the endpoints.

The initial point is (1, 4) and the final point is (5, 1).

Thus, the horizontal component is the difference between the x-coordinates, which is 5 - 1 = 4,

and the vertical component is the difference between the y-coordinates, which is 1 - 4 = -3.

Therefore, the component form of the vector that describes the drummer's movement is <4, -3>.

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Answer:

Answer:7 meaning 7 students in each group

Answer:7 meaning 7 students in each group Step-by-step explanation:

Answer:7 meaning 7 students in each group Step-by-step explanation: 35 ÷ 5 = 7

Answer:

y=2x-8

Step-by-step explanation:

y=Mx+k

Plug in(3,-2)(6,4)

3m+k=-2

6m+k=4

First function multiply by 2,we got:

6m+2k=-4

6m+k=4

k=-8

Y=Mx-8

Plug in any points that is in the question, I use(6,4)

4=6m-8

m=2

Y=2x-8

Answer:

y = 2x - 8

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 = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3, - 2) and (x₂, y₂ ) = (6, 4)

m = \(\frac{4+2}{6-3}\) = \(\frac{6}{3}\) = 2, then

y = 2x + c ← is the partial equation

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

Using (6, 4 ), then

4 = 12 + c ⇒ c = 4 - 12 = - 8

y = 2x - 8 ← equation of line

Answer:

B) -8/9

Step-by-step explanation:

multiply - 3/6 by three to have the same denominator as -7/18 so that they can add up

=> -9/18 + (-7/18) = -16/18 = -8/9

Considering AB=BC, the matrices A, B, and C are square matrices such that matrix B is invertible.

Now, post-multiply both sides of 

\(AB=BC by  {B}^{−1} \)

\( {ABB}^{−1} = {BCB}^{−1} \)

Solving the obtained equation for A by using the properties

\(AI= {BCB}^{−1} \\ A= {BCB}^{−1} \)

Therefore, the required matrix A is BCB−1

A matrix, also known as matrices, is a rectangular array or table of letters, numbers, or other symbols arranged in rows and columns that is used to represent a mathematical object or a characteristic of one.

In linear algebra, matrices represent linear maps and enable explicit computations. Since most properties and operations of abstract linear algebra can be expressed in terms of matrices, the study of matrices constitutes a significant portion of linear algebra.

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Answer:

6(a+b)^2 + 4ab^2

Step-by-step explanation:

sum is addition (a+b)

product is multiplication (ab)

6(a+b)^2 + 4ab^2

Answer:

-82

Step-by-step explanation:

\( - 95 - ( - 13) \\ - (95 - 13)\)

\( = - 82\)

The slope of the parametric curve can be obtained using the chain rule of differentiation: dydx=dydt⋅text⋅dt: The point on the curve where the tangent line has a slope of 12 is (1729, 13823).

To find the point(s) on the curve x = 3t^2 + 1, y = t^3 - 1 where the tangent line has a slope of 12, we'll follow these steps:

1. Find the derivatives dx/dt and dy/dt.
2. Compute the slope dy/dx using the formula: dy/dx = (dy/dt) / (dx/dt)
3. Set the slope equal to 12 and solve for t.
4. Find the corresponding x and y coordinates for the obtained t value(s).

Step 1: Find the derivatives dx/dt and dy/dt.
dx/dt = d(3t^2 + 1)/dt = 6t
dy/dt = d(t^3 - 1)/dt = 3t^2

Step 2: Compute the slope dy/dx using the formula.
dy/dx = (dy/dt) / (dx/dt) = (3t^2) / (6t)

Step 3: Set the slope equal to 12 and solve for t.
12 = (3t^2) / (6t)
12 * 6t = 3t^2
72t = 3t^2
t = 24

Step 4: Find the corresponding x and y coordinates for the obtained t value(s).
x = 3t^2 + 1 = 3(24^2) + 1 = 3(576) + 1 = 1729
y = t^3 - 1 = (24^3) - 1 = 13823

The point on the curve where the tangent line has a slope of 12 is (1729, 13823).

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Answer:

8 oranges

Step-by-step explanation:

Divide $3 by 5 to find the price of individual oranges.

3/5 = 0.6

Then divide $4.8 by the individual price to find how many oranges

4.8/0.6 = 8