. A law firm is run by four partners (A; B; C; D) . Each partner has one vote and decisions are made by majority rule, but in the case of a 2-2 tie, the coalition with A (the senior partner) wins.

Answer:

Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6

The ordered pairs are: (100, 135) and (500, 375)

The first number is the number of minutes of usage and the second number is the charge of the month.

The slope is: ( 375 -135) / (500 - 100) = 240/400 = 0.6

Step-by-step explanation:

Answer:

(1) 2π - x² = 0 (2) x = 2.5 cm (3) perimeter = 10 cm

Step-by-step explanation:

(1)The area of the circular coin without the inner square removed is πr² where r = 3 cm is the radius of the coin. So, the area of the coin without the inner square removed is πr² = π(3 cm)² = 9π cm²

The area of the square of x sides removed from its center is x².

The area A of the each face of the coin is thus A = 9π - x²

Since the area of each face of the coin A = 7π cm²,

then

7π = 9π - x²

9π - 7π - x² = 0

2π - x² = 0

(2) Solve the equation 2π - x² = 0

2π - x² = 0

x² = 2π

x = ±√(2π)

x = ± 2.51 cm

Since x cannot be negative, we take the positive answer.

So, x = 2.51 cm

≅ 2.5 cm

(3) Find the perimeter of the square

The perimeter of the square, p is given by p = 4x

p = 4 × 2.51 cm

= 10.04 cm

≅ 10 cm

the answer is ur guy

Step-by-step explanation:

It's given that <KPL and <JPL are linear pair so when we add both we will get 180° so

<KPL + <JPL = 180° [ Being linear pair ]

2x + 24 + 4x + 36 = 180

6x + 60 = 180

6x = 120

x = 120/ 6

Therefore x = 20

Now

x = 20

m<KPL = 2x + 24 = 2 * 20 + 24 = 64

m<JPL = 4x + 36 = 4 *20 + 36 = 116

Answer:

c. Not enough information

Answer:

B. 3/5 is correct.

Step-by-step explanation:

P(A or B) is the number of students within either set (circle) divided by the total number of students (10).

There are 6 students (3+1+2)  in the sets, so

P(A or B) = 6/10 = 3/5

Answer B. 3/5 is correct.

The value of P(A or B) from the Venn diagram is 2/5.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

Event A = Students that play basketball

Event B = Students that play Soccer

Now,

From the Venn diagram,

P(A) = 3/10

P(B) = 2/10

P(A ∩ B ) = 1/10

Now,

P(A or B) = P(A U B ) = P(A) + P(B) - P (A ∩ B)

So,

P(A U B )

= P(A) + P(B) - P (A ∩ B)

= 3/10 + 2/10 - 1/10

= (3 + 2 - 1) / 10

= 4/10

= 2/5

Thus,

The value of P(A or B) is 2/5.

Learn more about the Venn diagram here:

https://brainly.com/question/1605100

#SPJ7

Answer:

(a)5 and 8

(b)5 and 5

(c) 7 and 5

(d)6 and 2

(e)6 and -2

Step-by-step explanation:

(a)a negative integer

We consider the integers 5 and 8

Difference = 5-8 =-3

3 is a negative integer.

(b)Zero

We consider the integers 5 and 5

Difference = 5-5 =0

(c) an integer smaller than both the integer.

We consider the integers 7 and 5

Difference = 7-5 =2

2 is smaller than both integers.

(d) an integer smaller than only one of the integers.

We consider the integers 6 and 2

Difference =6-2=4

4 is smaller than only 6.

(e)an integer greater than both the integers

We consider the integers 6 and -2

Difference =6-(-2)=6+2=8

8 is greater than both 6 and -2.

Answer:

The altitude is 4√3 units long

Step-by-step explanation:

Since the triangle is equilateral, all the sides will measure 8 units.

Now to find the altitude, we drop a line from the middle vertex to the horizontal line below and this splits the horizontal line into 2 equal parts which measures 4 units exactly.

Now we will be having 2 right-angled triangles, with the hypotenuse of each measuring 8 units and the other side measuring 4 units

Mathematically to find the altitude, we can solve using Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides

Let’s call the altitude h;

8^2 = h^2 + 4^2

64 = h^2 + 16

h^2 = 64-16

h^2 = 48

h= √(48)

h = 4 √3 units

Answer:

THE ANSWER IS B

Step-by-step explanation:

Answer:

The mean number of students in a Statistics class = 25.47

The standard deviation of the number of students in a Statistics class = 1.081.

Step-by-step explanation:

We are given the following probability distribution for the number of students in statistics classes below;

     X                      P(X)                    [tex]X \times P(X)[/tex]                 [tex]X^{2} \times P(X)[/tex]

    23                     0.08                       1.84                          42.32

    24                     0.12                        2.88                         69.12

    25                     0.15                        3.75                         93.75

    26                     0.55                       14.3                          371.8

    27                    0.10                         2.7                          72.9      

  Total                    1                         25.47                      649.89  

The missing value against value 26 is calculated as;

       = 1 - (0.08 + 0.12 + 0.15 + 0.10) = 0.55

The mean of the following data is given by;

          Mean,[tex]\mu[/tex]  =  [tex]\sum X \times P(X)[/tex]  = 25.47

The variance of the following data is given by;

         Variance,[tex]\sigma^{2}[/tex]  =  [tex]\sum X^{2} \times P(X) - (\sum X \times P(X))^{2}[/tex]

                          =  [tex]649.89 - (25.47)^{2}[/tex]

                          =  1.1691

Standard deviation =  [tex]\sqrt{1.1691}[/tex] = 1.081                

Step-by-step explanation:

In my opinion the reason 4 is incorrect

Answer:

Step-by-step explanation:

step 4 suppose to be :Step 2: Multiply both sides by 2/3.

(2/3)*(3/2x)=(2/3)*(60)

Answer:

A is the correct option.

Step-by-step explanation:

1/12 = 0.0833333333

Answer:

Option A

Step-by-step explanation:

=> [tex]\frac{1}{12}[/tex] = 0.8333.........

=> [tex]\frac{7}{8}[/tex] = 0.875

=> [tex]\frac{14}{25}[/tex] = 0.56

=> [tex]\frac{17}{20}[/tex] = 0.85

=> [tex]\frac{6}{10}[/tex] = 0.6

So, 1/12 is the repeating decimal whose digits are periodic and repeats infinitely.

Hey there! :)

Answer:

These two figures are similar because 5/3 equals 15/9.

Step-by-step explanation:

These figures are similar to each other, which means the side-lengths are proportional. Therefore:

[tex]\frac{5}{9} = \frac{15}{9}[/tex]

Side-lengths 15 and 9 are proportional to 5 and 3 because the two fractions are equivalent; the larger rectangle is just 3 times larger.

Answer:I cStep-by-step explanation:

1 pound = 16 ounces.

9 pounds of sand x 16 = 144 total ounces of sand.

144 ounces / 6 ounce bottle = 24

He made 24 bottles.

Answer:

24 bottles

Step-by-step explanation:

Trevor bought 9 pounds of sand

He fills 6-ounce bottles

First let's convert pounds to ounces:

Now, number of bottles required:

Answer:

Calculate 6-(-4)-5

so : 6-(-4)-5 = 5

The Answer is  5

if you calculate it you get 5

Answer:

Coordinate of C =  (22, 20)

The Complete Question related to this found at ELEVISE website is stated below:

A pattern is made from four identical squares. The sides of the squares are parallel to the axes. Point A has the coordinates (6, 7)

Point B has the coordinates (38, 36)

Point C is marked on the diagram.

Work out the coordinates of C.

Step-by-step explanation:

Coordinates (x, y)

Point A has the coordinates (6, 7)

Point B has the coordinates (38, 36)

Find attached the drawing

From the labelled diagram

Change in y = 36-7 = 29

Change in x = 38-6 = 32

Using the horizontal axis:

The length of congruent 4 squares is between 38 and 6 = 32

The length of each congruent 4 squares = 32/4

The length of each congruent 4 squares = 8

Therefore the dimensions of the square is 8 by 8

Coordinate of C (x, y)

For x axis = 38 - length of 2 squares OR 6+ length of 2 squares

38 - length of 2 squares =38 - 2(8)

= 38-16 = 22

For y axis = 36 - length of 2 squares

= 36 - 2(8)

= 36-16 = 20

Coordinate of C =  (22, 20)

Answer:

x = 60

Step-by-step explanation:

L // M

Sum of co-interior angles = 180

2x + 5 + x - 5 = 180

Add the like terms

3x + 0 = 180

3x = 180

Divide both sides by 3

3x/3 = 180/3

x = 60

Answer:

[tex]Speed = 0.28m/s[/tex]

Step-by-step explanation:

Your question seem incomplete; however, I'll assume the given tips as the usable parameters.

Given

Distance = 2km

Time = 2 hours (8am to 10am)

Required

Calculate speed (in metres per seconds)

Speed is calculated as follows:

[tex]Speed = \frac{Distance}{Time}[/tex]

Substitute 2 km for distance and 2 hours for time.

[tex]Speed = \frac{2km}{2hr}[/tex]

Convert km to metres an hr to seconds.

[tex]Speed = \frac{2000m}{7200s}[/tex]

[tex]Speed = 0.277778 m/s[/tex]

[tex]Speed = 0.28m/s[/tex] (Approximated)

Hence, the cyclist travels at 0.28m/s

Answer: you will need approximately 23 grams

Step-by-step explanation: but thats approximately

Answer:

The height of the lightpost is 33.008 feet

Step-by-step explanation:

Refer the attached figure

Distance between lamp post and person = AB = 40 feet

Height of person = BC = 5 feet

The angle of elevation = ∠DCE =35°

Height of light post = AD

AB=CE=40 feet

In ΔDCE

[tex]\frac{Perpendicular}{Base}=Tan \theta \\\frac{DE}{CE}=tan 35^{\circ}\\\frac{DE}{40}=tan 35^{\circ}\\DE=40 \times tan 35^{\circ}\\DE=28.008[/tex]

Height of light post = AD=DE+AE=28.008+5=33.008

Hence the height of the lightpost is 33.008 feet

Answer:

  3x +2y = 0

Step-by-step explanation:

Swapping the x- and y-coefficients and negating one of them will get you a perpendicular line. Since you have not specified a point, we can make it go through the origin:

  3x +2y = 0

Answer:

Léase explicación detallada para mayor entendimiento.

Step-by-step explanation:

La metodología a utilizar es la siguiente, un número de base 10 es una combinación de dígitos entre 0 y 9, el dígito a la derecha del observador es el dígito pivote, el orden del dígito aumenta a medida que el observador dirige la mirada hacia su izquierda. Asimismo, el orden del dígito disminuye a medida que el observador dirige la mirada hacia su derecha.

Ejemplo - Ponga en orden descendente el orden de los dígitos de 3605.

Se descubre que el 5 es el dígito pivote (Orden 0), 0 esta un orden por encima del dígito pivote (Orden 1), 6 esta a dos órdenes por encima del dígito pivote (Orden 2) y 3 está tres órdenes por encima del dígito de menor pivote (Orden 3). En consecuencia, la jerarquía de los dígitos en orden descendente es 3 -  6 - 0 - 5.

Ejemplo - Ponga en orden ascendente el orden de los dígitos de 245,471.

Se descubre que el 5 es el dígito pivote (Orden 0), 4 está un orden por encima del dígito pivote (Orden 1) y 2 está dos órdenes por encima del dígito pivote (Orden 2). Asimismo, 4 está un orden por debajo del dígito pivote (Orden -1), 7 está dos órdenes por debajo del dígito pivote (Orden -2) y 1 está tres órdenes por debajo del dígito pivote (Orden -3). En consecuencia, la jerarquía de los dígitos en orden ascendente es 1 - 7 - 4 - 5 - 4 - 2.

Ahora, se puede descomponer un número conforme el número a partir de sumar cada dígito multiplicado por 10 elevado por el orden que le corresponde dentro del número, cuyo procedimiento se explica con un ejemplo:

Ejemplo - Descomponga 1268.153 en sumas y potencias de 10.

El dígito 8 es el dígito pivote, existen tres dígitos cuyo es superior al del dígito pivote y tres dígitos con un orden inferior al dígito pivote, entonces este número real se puede reescribir como sigue en orden descendente:

[tex]1268.153 = 1 \times 10^{3} + 2 \times 10^{2} + 6\times 10^{1} + 8 \times 10^{0} + 1 \times 10^{-1} + 5\times 10^{-2} + 3 \times 10^{-3}[/tex]

Answer:

-4

Explanation:

when subtracting a positive integer from a negative, the answer becomes smaller. If the question were to ask -3-(-1) negative 3 minus negative 1, the subtraction sign becomes a addition sign, and you add 1 to -3.

Answer: -4

Step-by-step explanation: To subtract the integers -1 - 1, I would first change the minus sign to plus a negative.

So we have -1 + -1.

Now let's use a number line to find our answer.

Starting at 0, -3 moves us 3 units to the left, then from there,

-1 moves us 1 more unit to the left and we end up at -4.

So -3 + -1 is -4.

Answer:

The equation representing the new path is;

[tex]y = \dfrac{1}{3} \cdot x + 7[/tex]

Step-by-step explanation:

The equation of the first walking park across the park is y = -3·x - 3

By comparison to the equation of a straight line, y = m·x + c, where m = the slope of the line, the slope of the line y = -3·x - 3  is -3

The park's new walking path direction = Perpendicular to first walking path

A line perpendicular to a line of  (as example) y = m₁·x + c has a slope of -1/m

∴ The park's new walking path slope = -1/(Slope of first path) = -1/(-3) = 1/3

The point the paths will intersect = (-3, 6)

The equation of the line is found by recalling that [tex]Slope, \, m_1 =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where:

y₂ and x₂ are coordinates of a point on the new walking path

y₁ and x₁ are coordinates of a point on the new walking path intersecting the first walking path

Given that (-3, 6) is the intersection of the two walking paths, therefore, it is a point on the new walking path and we can say x₁ = -3, y₁ = 6

Therefore, we have;

[tex]Slope, \, m_1 =\dfrac{y_{2}-6}{x_{2}-(-3)} = \dfrac{y_{2}-6}{x_{2}+3} =\dfrac{1}{3}[/tex]

Which gives;

(y₂ - 6) × 3 = x₂ + 3

y₂ - 6 = (x₂ + 3)/3

y₂ = (x₂ + 3)/3 + 6  = 1/3·x₂ + 1 + 6 = 1/3·x₂ + 7

Which gives the equation representing the new path as [tex]y = \dfrac{1}{3} \cdot x + 7[/tex].

Answer: 48 kilogramos de fruta

Step-by-step explanation:

Hola, para resolver este problema simplemente hay que sumar las cantidades de cada fruta:

Kilos de manzanas + kilos de mangos+ kilos de naranjas:

Matemáticamente hablando:

34+12+2 = 48 kg

Elena compro 48 kilogramos de fruta en total.

Si quedo alguna duda no dudes consultar con un comentario.

Answer:

Step-by-step explanation:

From the graph we can notice that :

Again we can deduce from the graph that :

Answer:

1/2✖️7.8✖️6.3.

She needs to multiply 1/2 instead of dividing it by two.

Step-by-step explanation:

Triangle area: 1/2✖️base✖️height

Answer:

Eva multiplied by two, and not 1/2.

Step-by-step explanation:

To find the area of a triangle, you must multiply the base and the height by 1/2.

Height: 6.3cm

Base: 7.8cm

1/2×6.3×7.8= 24.57

Answer:

2/9 * (-4 - 3) + 3

= 2/9 * (-7) + 3

= -14/9 + 3

= -14/9 + 27/9

= 13/9

Answer:

No... El 2 porsiento del 2 porsiento del 2 porsiento de 100 es 0.0008.

Step-by-step explanation:

100 * 2% = 100 * 0.02 = 2

2 * 2% = 2 * 0.02 = 0.04

0.04 * 2% = 0.04 * 0.02 = 0.0008