Answer:
x = 6
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up equation
8x + 2 + 70 + 60 = 180
Step 2: Solve for x
Combine like terms: 8x + 132 = 180Subtract 132 on both sides: 8x = 48Divide 8 on both sides: x = 6And we have our final answer!
Write a compound inequality that the graph could represent.
x ≥ –4 or x < 2
–4 < x ≤ 2
–2 ≤ x < 4
–4 ≤ x < 2
The compound inequality is represented by –4 ≤ x < 2 , Option C is the answer.
What is an Inequality ?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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5.8(20-3x)=
please this is timed i need help!
Answer:
Step-by-step explanation:
5.8(20−3x)
=(5.8)(20+−3x)
=(5.8)(20)+(5.8)(−3x)
=116−17.4x
=−17.4x+116
HELP ME WILL GIVE U BRAINLISTWhat is the slope?
M= -5/4
M= 5/4
M= -4/5
M= 4/5
Solve the equation -2/3d - 1/4d = -22 for d.
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.
What is an equation?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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HELP PLS‼️Given j || k, give two angles that are corresponding
Answer:
angle 6 and angle 2 are corresponding
I cant wait till Thanksgiving break bc computer work is so lammmmmmmmme.
Is (0,1) included in the solution of the system
−x + y < 1 and
x + y ≥ −3
True
False
Identify the matrix transformation of ΔMNO, which has coordinates M(1, 3),N(5, 2), and O(3, −3), for a translation 2 units left and 4 units up. Then identify the correct vertices of the image
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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What does This equation equal ?3.91 x 10-2 =
Answer:
37.1
Step-by-step explanation:
Hope this is the right answer.
What can you do with python on a Chromebook
I am on a Chromebook and lately I have been leaning python on my PC at home, I had saw a video on how you could make python bots but that was on window OS and i am just asking if there is any thing cool i could be doing on my Chromebook and if possible only need a google chrome tab to work"
Answer:
i dont think u can on a chrome book
what is the value of x
1. 124
2. 62
3. 112
4. 68
explain why the answer is correct
Answer:
3.112 because 56+56=112Answer:
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
how to solve -7(8s+9f) s=-5 f=-3
Answer:
469
Step-by-step explanation:
plug in values and solve
64 to the power of 1/2 times 10 to the power of minus 2
Answer:
show me some answer choices I think I know what is is
5) Diseñar un sistema de ecuaciones lineales y resolverlo a través del método de Gaussiana, que permita resolver el siguiente problema: -Un ingeniero realiza las siguientes observaciones sobre las ventas de impresoras en una tienda: Hay impresoras Epson, Hp y Cannon. El número de impresoras Epson y Hp es cinco veces el número de las Cannon. Además, el número de impresoras Epson es el triple que el de la Cannon y el total de impresoras Cannon y Hp asciende a 12.
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.
How can you tell if a linear system of equations has an infinite number of solutions?
Help me pleaseeee!!!
9514 1404 393
Answer:
[tex]\dfrac{\sqrt[4]{3x^2}}{2y}[/tex]
Step-by-step explanation:
Fourth powers (and multiples of 4th powers) can be factored out from under the radical. Everything else remains under the radical.
[tex]\sqrt[4]{\dfrac{24x^6y}{128x^4y^5}}=\left(\dfrac{3\cdot8}{16\cdot8}x^{6-4}y^{1-5}\right)^{1/4}=(3\cdot2^{-4}x^{2}y^{-4})^{1/4}\\\\=\boxed{\dfrac{\sqrt[4]{3x^2}}{2y}}[/tex]
_____
The applicable rules of exponents are ...
a^(b/c) = c-th root of (a^b)
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
a^-b = 1/a^b
Answer:
Step-by-step explanation:
the answer is (D) [tex]\sqrt[4]{3x^2}[/tex] / 2y
whats 5x4 x7x2x8= blank? commet your down below
Answer:
The answer would be 2,240
Step-by-step explanation:
Answer:
2240
Step-by-step explanation:
1. 5x4=20x7 and keep on going
Tonie is making a cake that calls for 2 pounds of flour. He can only measure the flour in ounces. The rate of cups to ounces is 1 cup to 16 ounces. How many ounces would Tonie need for 2 pounds of flour?
Answer:
32 ounces
Step-by-step explanation:
1 pound is equal to 16 ounces
so 2 pounds is 2 x 16 = 32
Hi. I need help with these questions.
See image for question.
Answer 14 and 13
Answer:
13) 36x² + 9x - 4 = 014) 21x² + 20x + 100 = 0Step-by-step explanation:
13.
GivenQuadratic equation
4x² - 3x - 4 = 0With the roots of α and βTo Find The quadratic equation with roots of 1/(3α) and 1/(3β)SolutionThe sum and the product of the roots of the given equation:
α + β = -b/a ⇒ α + β = -(-3)/4 = 3/4αβ = c/a ⇒ αβ = -4/4 = - 1New equation is:
(x - 1/(3α))(x - 1/(3β)) = 0x² - (1/(3α) + 1/(3αβ))x + 1/(3α3β) = 0x² - ((3α + 3 β)/(3α3β))x + 1/(3α3β) = 0x² - ((α + β)/(3αβ))x + 1/(9αβ) = 0x² - (3/4)/(3(-1))x + 1/(9(-1)) = 0x² + 1/4x - 1/9 = 036x² + 9x - 4 = 0===================
14.
GivenQuadratic equation
3x² +2x + 7 = 0With the roots of α and βTo Find The quadratic equation with roots of α + 1/β and β + 1/αSolutionThe sum and the product of the roots of the given equation:
α + β = -b/a ⇒ α + β = -2/3αβ = c/a ⇒ αβ = 7/3New equation is:
(x - (α + 1/β))(x - (β + 1/α)) = 0x² - (α + 1/β + β + 1/α)x + (α + 1/β) (β + 1/α) = 0x² - (α + β + (α + β)/αβ )x + αβ + 1/αβ + 2 = 0x² - (-2/3 - (2/3)/(7/3))x + 7/3 + 1/(7/3) + 2 = 0x² - (-2/3 - 2/7)x + 7/3 + 3/7 + 2 = 0x² + (14 + 6)/21x + (49 + 9 + 42/21) = 0x² + 20/21x + 100/21 = 021x² + 20x + 100 = 0i need help please!
Answer:
C
Step-by-step explanation:
Adding 30and 70 first gives 100.
The Jeffer's company has a debt ratio (total debt to total assets) of 0.365. If their total debt is $500,000, what are their total assets?
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.
Someone please help me I really forgot how to do this!
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:
PQ=RQ WHICH MEANS A =
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
PQ = RQ
Thus :
[tex]Angle \: \: P = Angle \: \: R = 47°[/tex]
_________________________________
Sum of the interior angles of any triangle equal 180° .
So in ∆ PQR :
[tex]P + Q + R = 180[/tex]
[tex]47 + (a + a) + 47 = 180[/tex]
[tex]2a + 94 = 180[/tex]
Subtract sides 94
[tex]2a + 94 - 94 = 180 - 94[/tex]
[tex]2a = 86[/tex]
Divide sides by 2
[tex] \frac{2a}{2} = \frac{86}{2} \\ [/tex]
[tex]a = 43[/tex]
Thus :
[tex]a = [ 43 ] °[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The required measure of the angle in the triangle is 33°.
Given that,
A figure is shown, of triangle QPR with QS as attitude to determine the measure of a
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
here,
As of the above definition,
Some of the interiors of the triangle should be equal to 180°
Applying the definition for triangle PQS
47 + 90 + a = 180
a = 180 - 90 - 47
a = 33°
Thus, the required measure of the angle in the triangle is 33°.
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Choose 3 side lengths that would create a right triangle in order from shortest to longest.
Answer:
Step-by-step explanation:
shortest-7
middle-24
longest-25
Neil and Joey share a 30-ounce bucket of clay. By the end of the week, Neil has used 1/10 of the bucket, and Joey has used 2/5 of the bucket of clay. How many ounces are left in the bucket?
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
Casey's mom is the baseball coach for his team. She spent $150 on baseballs. Each baseball cost $5. How many baseballs did she buy?
Answer:
nicw
Step-by-step explanation:
150-5=145
when you flip 1/6 it is?
Answer:
1/6 flipped is 6/1, which equals 6
Step-by-step explanation:
you flipped the numbers.
En una fábrica, dos trabajadores llenan envases de gel
antibacterial. El primer trabajador los empaca en grupos de 8
botellas y el segundo en grupos de 12. Si ambos empiezan a
trabajar simultáneamente y lo hacen a la misma velocidad,
¿cuántos envases tendrán que llenar para completar sus
respectivos paquetes al mismo tiempo?
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
Your first job after college has a salary of $35,000 and will increase 6.5% each year. If you stay with the same position, what you will make after working for 8 years?
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
4(2.5g − 4) + 3(1.2g − 2) simplify expression