Answer:
x=-5/53
Step-by-step explanation:
1. Add similar elements: 4x+27x=31x
2. Multiply 13 times 2 to get 26
3. Once again add the similar elements: 31x+26x=57x
4. Expand!!: Originally (4x+1) take away the Parentheses!!
5. 57x+6=4x+1
6. Subtract 6 from both sides: 57x+6-6=4x+1-6
7. Simplify: 57x=4x-5
8. Subtract 4x from both sides: 57x-4x=4x-5-4x
9. Simplify: 53x=-5
10. Divide both sides by 53: 53x/53= -5/53
11. x= -5/53
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
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
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
pls answer!! it’s due pls
Answer:
I think the answer is corresponding angles postulate because they are intersected by a transversal and are equal and are parallel lines.
How can you tell if a linear system of equations has an infinite number of solutions?
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
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 = 0PQ=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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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
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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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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What does This equation equal ?3.91 x 10-2 =
Answer:
37.1
Step-by-step explanation:
Hope this is the right 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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4(2.5g − 4) + 3(1.2g − 2) simplify expression
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
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
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.
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
HELP PLS‼️Given j || k, give two angles that are corresponding
Answer:
angle 6 and angle 2 are corresponding
Your mother will be
having 24 people over for
Thanksgiving. You only
have 5 tables. How would
you arrange for everyone to
sit? Draw a picture.
Answer:
I would make 5 circles, then put 5 in each then four in the last table, there is no way to draw on here but you'd probably wanna add some detail and color to it.
Have a lovely day!
Is (0,1) included in the solution of the system
−x + y < 1 and
x + y ≥ −3
True
False
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
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
HELP ME WILL GIVE U BRAINLISTWhat is the slope?
M= -5/4
M= 5/4
M= -4/5
M= 4/5
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
how to solve -7(8s+9f) s=-5 f=-3
Answer:
469
Step-by-step explanation:
plug in values and solve
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.
I cant wait till Thanksgiving break bc computer work is so lammmmmmmmme.
If you buy 1 ticket in canada's lotto 6/49 lottery game, the probability that you will win a prize is 0.15. Given the nature of lotteries, the probability of winning is independent from month to month. If you buy 1 ticket each month for five months, what is the probability that you will win at least one prize?
Answer:
0.5563
Step-by-step explanation:
Given that :
Probability of winning (p) = 0.15
Number of months = number of trials (n) = 5
1 - p = 1 - 0.15 = 0.85
Probability of winning atleast one price ;
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x≥1) = p(1) + p(2) + p(3) + p(4) + p(5)
Using the binomial probability calculator to save computation time :
P(x≥1) = 0.556294
P(x≥1) = 0.5563
Probabilities are used to determine the chances of events.
The probability that you win at least one prize is 0.5563
The given parameters are:
[tex]p = 0.15[/tex] --- the probability of winning
The probability of losing (q) is then calculated using the following complement rule
[tex]q= 1 - p[/tex]
[tex]q= 1 - 0.15[/tex]
[tex]q= 0.85[/tex]
The probability that you win at least one prize is the complement of not winning at all.
So, we have:
[tex]P(At\ least\ 1) = 1 - P(None)[/tex]
This gives
[tex]P(At\ least\ 1) = 1 - 0.85^5[/tex]
[tex]P(At\ least\ 1) = 1 - 0.4437[/tex]
Evaluate like terms
[tex]P(At\ least\ 1) = 0.5563[/tex]
Hence, the probability of winning at least one prize is 0.5563
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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