21% of the students at a High are in Maths group, 15 % are in science group, and 6 % are in both. If a student is selected randomly , what is the probability that the student is in maths or science group?

The compound inequality is represented by –4 ≤ x < 2 ,  Option C is the answer.

An inequality is a statement that consist of expressions equated by constants or other expressions by an inequality operator.

From the line shown below , the compound inequality has to be determined

There is an open dot on + 2 and closed dot on -4

so x  ≥ –4 , x < 2  

and this is represented by –4 ≤ x < 2

Therefore Option C is the answer.

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Responder:

Contenedor 24

Explicación paso a paso:

Para obtener la cantidad de contenedores que deberán llenar para completar sus respectivos paquetes al mismo tiempo; obtener el mínimo común múltiplo de la agrupación adoptada por el primer y segundo trabajador;

Múltiplos de:

8: 8, 16, 24, 32, 40, 48, 56, ...

12:12, 24, 26, 48, 60, ....

Por lo tanto, el mínimo común múltiplo de 8 y 12 es 24.

Llenarán 24 contenedores

Answer:

37.1

Step-by-step explanation:

Hope this is the right answer.

Answer:

469

Step-by-step explanation:

plug in values and solve

Answer:

M(-1,7), N(3,6), O(1,1)

Step-by-step explanation:

The coordinates of ΔMNO are M(1, 3),N(5, 2), and O(3, −3).For a translation, 2 units left and 4 units up the correct vertices of the image will be M'(-1,7), N'(3,6), and O'(1,1).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that the coordinates are M(1, 3),N(5, 2), and O(3, −3).

We have to translate 2 units left and 4 units up.

The coordinates obtained after applying the given geometric transformation are M'(-1,7), N'(3,6), O'(1,1)

Thus, the coordinates of ΔMNO are M(1, 3),N(5, 2), and O(3, −3).For a translation, 2 units left and 4 units up the correct vertices of the image will be M'(-1,7), N'(3,6), and O'(1,1).

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Answer:

angle 6 and angle 2 are corresponding

Answer:

f-96=124

Step-by-step explanation:

This is the equation of the sentence that has been mentioned.

Step-by-step explanation:

-2(3x+2)>-8x+6

when eq. is divided by 2,

-3x-2>-4x+3

x >5

The solution set of -2(3x+3)>-8x+6 is {x/x>5}.

Answer:

x = 50

Step-by-step explanation:

these are vertical angles meaning they are congruent so

[2(x+10)] = (3x-30) then use distributive property

(2x+20) = (3x-30) subtract 2x from both sides

20 = x - 30 add 30 to both sides

x = 50

Answer:

x = 50

Step-by-step explanation:

We know that 2(x+10) = (3x-30) because it is on opposite sides of an "x".

We just set them equal to each other and solve for x!

2(x+10) = 3x - 30

2x + 20 = 3x - 30

20 = x - 30

50 = x

Answer:

y=3/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5y+ −1/2=7

Step 2: Add 1/2 to both sides.

5y+/−1/2+1/2=7+1/2

5y=15/2

Step 3: Divide both sides by 5.

5y/5

=

15/25

y=3/2

The solution of the given equation is y = 3/2.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have given the equation as

⇒ 5y - 1/2 = 7

Add 1/2 to both sides in the above equation.

⇒ 5y - 1/2 + 1/2 = 7 + 1/2

⇒ 5y = 15/2

Divide both sides by 5

⇒ y = 15/10

⇒ y = 3/2

Hence, the solution of the given equation is y = 3/2.

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Answer:

Step-by-step explanation:

35000*6.5%= 2275+35000=37275 year one

37275*6.5%=2422.88+37275=39697.88 year two

It comes out to $18200 more or 53,200

Answer:

Answer:

The answer is 4. 68

Step-by-step explanation:

since equal sides of triangle,it has equal angle at the base of triangle.So, the two angles of triangle at base is 56. The sum of angles in a triangle is 180.Therefore,56+56+x=180

x=180-112

x=68

Answer:

Step-by-step explanation:

Hi. You need to answer the questions that people have. Just like I'm answering yours, I get some points. This way you get help on your homework and you can help others.

Answer:

Step-by-step explanation:

13.

Quadratic equation

The sum and the product of the roots of the given equation:

New equation is:

===================

14.

Quadratic equation

The sum and the product of the roots of the given equation:

New equation is:

Answer:

c = 6

a = 14

l = 28

t = 18

Step-by-step explanation:

Free throws are usually worth one point each. We can assign variables and use equations to link information between Adam, Cheryl, Laura, and Tom. Then, we can just substitute in our information and solve.

"Adam scored 8 more points than Cheryl"

a = c + 8

"Laura scored twice as many points as Adam"

l = 2a

"Tom scored 10 points less than Laura"

t = l - 10

"Together the four friends scored a total of 66 points"

a + c + l + t = 66

Now we substitute in our variables and solve from there (see attached image)

c = 6

a = 14

l = 28

t = 18

Answer:

15 ounces

Step-by-step explanation:

1/10 of the bucket is 3 ounces and 2/5 is 12 ounces. add those to get 15 and then do 30-15 which is 15

Answer:

C

Step-by-step explanation:

Adding 30and 70 first gives 100.

Answer:

d=24

Step-by-step explanation:

create a common denominator of 12

[tex]\frac{-2}{3}[/tex]d-[tex]\frac{1}{4}[/tex]d=[tex]\frac{-22}{1}[/tex]

[tex]\frac{-2}{3}[/tex]*4     [tex]\frac{1}{4}[/tex]*3     [tex]\frac{-22}{1}[/tex]*12

[tex]\frac{-8}{12}[/tex]d   - [tex]\frac{3}{12}[/tex]d   =    [tex]\frac{-264}{12}[/tex]

[tex]\frac{-11}{12}[/tex]d=[tex]\frac{-264}{12}[/tex]

multiple each side by reciprocal ([tex]\frac{12}{-11}[/tex]) and simplify

d=24

The value of d from the given equation is 24.

The given equation is [tex]-\frac{2}{3}d - \frac{1}{4}d=-22[/tex].

We need to solve the given equation for d.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved for d as follows:

Take LCM of denominators

LCM of denominators 3 and 4 is 12

Now equate denominators to LCM, that is

[tex]d(-\frac{2}{3} - \frac{1}{4})=-22[/tex]

⇒ [tex]d(-\frac{8}{12} - \frac{3}{12})=-22[/tex]

⇒ [tex]d(\frac{-8-3}{12} )=-22[/tex]

⇒ [tex]d(\frac{-11}{12} )=-22[/tex]

⇒ d=24

Therefore, the value of d from the given equation is 24.

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The whole assignment?

Answer:

It will cost $4.25 for 5 liters.

Step-by-step explanation:

$2.55 ÷ 3 = $0.85

$0.85 x 5 = $4.25

Given:

Total debt ratio (total debt to total assets) = 0.365

Total debt = $500,000

To find:

The total assets.

Solution:

We know that,

[tex]\text{Total debt ratio}=\dfrac{\text{Total debt}}{\text{Total assets}}[/tex]

On substituting the given values, we get

[tex]0.365=\dfrac{500,000}{\text{Total assets}}[/tex]

[tex]\text{Total assets}=\dfrac{500,000}{0.365}[/tex]

[tex]\text{Total assets}=1369863.0137[/tex]

Therefore, the value of total assets is $1369863.0137.

Answer:

nicw

Step-by-step explanation:

150-5=145

Answer:

The answer would be 2,240

Step-by-step explanation:

Answer:

2240

Step-by-step explanation:

1. 5x4=20x7 and keep on going

Answer:

[tex]X=12[/tex]

[tex]Y=8[/tex]

[tex]Z=4[/tex]

Step-by-step explanation:

Comencemos definiendo las variables ⇒

[tex]X:[/tex] '' Número de impresoras Epson ''

[tex]Y:[/tex] '' Número de impresoras Hp ''

[tex]Z:[/tex] '' Número de impresoras Cannon ''

Ahora , dado que tenemos las variables definidas podemos escribir el sistema de ecuaciones lineales

''El número de impresoras Epson y Hp es cinco veces el número de las Cannon''

Para esa oración escribimos la siguiente ecuación :

[tex]X+Y=5Z[/tex] (I) que se puede reescribir como

[tex]X+Y-5Z=0[/tex] (II)

''El número de impresoras Epson es el triple que el de las Cannon''

Para esa oración escribimos la siguiente ecuación :

[tex]X=3Z[/tex] (III) que se puede reescribir como

[tex]X-3Z=0[/tex] (IV)

''El total de impresoras Cannon y Hp asciende a 12''

Para ésta última frase escribimos la última ecuación :

[tex]Y+Z=12[/tex] (V)

Con (II), (IV) y (V) armamos el sistema de ecuaciones lineales :

[tex]X+Y-5Z=0\\X-3Z=0\\Y+Z=12[/tex]

Lo resolvemos a través del método de Gauss insertando el sistema en una matriz y realizando operaciones de fila entre las respectivas filas de la matriz :

[tex]\left[\begin{array}{ccxc}1&1&-5&0\\1&0&-3&0\\0&1&1&12\end{array}\right][/tex]

Realizando operaciones entre filas se lleva a la siguiente matriz equivalente :

[tex]\left[\begin{array}{cccc}1&1&-5&0\\0&-1&2&0\\0&0&3&12\end{array}\right][/tex]    En esta matriz el sistema de ecuaciones asociado es

[tex]X+Y-5Z=0\\-Y+2Z=0\\3Z=12[/tex]

De aquí encontramos que [tex]Z=4[/tex] , [tex]Y=8[/tex] y [tex]X=12[/tex]  (encontramos primero el valor de [tex]Z[/tex] en la última ecuación, de allí reemplazamos en la segunda ecuación para hallar el valor de [tex]Y[/tex]. Finalmente el valor de [tex]X[/tex] se calcula con la primera ecuación)

La solución a éste sistema de ecuaciones es

[tex]X=12[/tex]

[tex]Y=8[/tex]

[tex]Z=4[/tex]

Es recomendable reemplazar éstos valores en el sistema original para verificarlos.

Answer:

After solving the equation [tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex] we get x=-2 and x= 4 i.e {-2,4}.

Option B is correct.

Step-by-step explanation:

We need to solve [tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex]

Solving:

[tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex]

Cross multiply

[tex](x-2)(x+4)=x*4[/tex]

Multiplying:

[tex]x(x+4)-2(x+4)=4x\\x^2+4x-2x-8=4x\\x^2+2x-8-4x=0\\x^2-2x-8=0[/tex]

Now, we have got quadratic equation [tex]x^2-2x-8=0[/tex]

Solving this quadratic equation using quadratic formula

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\[/tex]

We have a=1, b=-2 and c=-8 Putting values

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(1)(-8)}}{2(1)}\\x=\frac{2\pm\sqrt{4+32}}{2}\\x=\frac{2\pm\sqrt{36}}{2}\\x=\frac{2\pm6}{2}\\x=\frac{2+6}{2} \ or \ x=\frac{2-6}{2}\\x=\frac{8}{2} \ or \ x=\frac{-4}{2}\\x=4 \ or \ x=-2[/tex]

So,after solving the equation [tex]\frac{x+4}{4}=\frac{x}{x-2}[/tex] we get x=-2 and x= 4 i.e {-2,4}.

Option B is correct.

Answer: D) All real numbers greater than or equal to -4.

Explanation:

The lowest point occurs when y = -4, which is where the vertex is located.

The range consists of y values such that y = -4 or y > -4. We can shorten that last sentence to say [tex]y \ge -4[/tex]. So y is greater than or equal to -4.

As you can probably tell, the range is the set of all possible outputs of a function.

y = mx + b

m = slope or rate of change

b = y-intercept

x = input

y = output

Answer:

x= input

y= output

Step-by-step explanation: