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aleksandrvk [35]
2 years ago
5

Use the distributive property to solve the equation 4x/5-x=x/10-9/2

Mathematics
1 answer:
Oksana_A [137]2 years ago
4 0

Answer:

\Huge\boxed {x = 15}

Step-by-step explanation:

⟾Collect like terms

  • 8x - 10x = x - 45

⟾Move the variable to the left

  • - 2x = x - 45

⟾Collect like terms again

  • - 2x - x = - 45

⟾Divide both sides by -3

  • - 3x = - 45

⟾ x = 45 ÷ 3

  • x = 15.

Hope it's helps you

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Which describes how to graph h (x) = negative RootIndex StartRoot x + 8 EndRoot by transforming the parent function?
SashulF [63]

Answer:

Reflect the parent function over the x-axis, and translate it 8 units to the left.

Step-by-step explanation:

The given function is

y =  -  \sqrt{x + 8}

The parent function is

y =  \sqrt{x}

Since there is a negative multiply the transformed function, there is a reflection in the x-axis.

Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.

Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.

5 0
2 years ago
Felipe trabaja en una construcción ayuda a cotizar materiales entre ellos cables para diversos propósitos el arquitecto le pidió
Alekssandra [29.7K]

Answer:

a) 0.64mm

b) 7/25

Step-by-step explanation:

Felipe trabaja en una construcción ayuda a cotizar materiales entre ellos cables para diversos propósitos.El arquitecto le pidió cotizar un cable de 16/25 mm de diámetro. en los catálogos disponibles en as tiendas las medidas aparecen expresadas en números decimales como se muestra en la imagen

¿Que debe hacer felipe para saber el diámetro del cable que pidió el arquitecto?

¿que medida en forma de fracción le corresponde al cable que mide 0.28? ¿como lo determinaste? es urgenteeee GRACIAS

a) Dada la dimensión fraccionaria del cable expresada como 16/25 mm, dado que Felipe debe expresar esta fracción en decimal para obtener la medida requerida, dividiremos la expresión usando una división larga como se muestra en el anexo. Desde el archivo adjunto;

16/25 mm = 0,64 mm

b) La medida fraccionaria corresponde al cable que mide 0.28 se expresa como se muestra. Convertir 0,28 a fracción.

0.28 = 28/100 (Tenga en cuenta que dividimos por 100 porque hay dos valores decimales después del punto decimal)

Sobre la simplificación en su término más bajo

28/100 = 4 * 7/4 * 25

28/100 = 4/4 * 7/25

28/100 = 1 * 7/25

28/100 = 7/25

Por lo tanto, la medida fraccionaria que corresponde al cable que mide 0.28 es 7/25.

8 0
2 years ago
Frank wants to build a garden with the dimensions below.
dexar [7]
Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x 

Area = length * width 
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85

(2x + 17) ( x - 5)

x = -17/2 or  x = 5

Let x = 5 ; 

length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7

 Area = 13 x 7 = 91

Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
Perimeter = 2(20)
Perimeter = 20 feet of fencing
7 0
2 years ago
Read 2 more answers
Tonyas dog walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. beth does not charge
andreev551 [17]

Answer:

Step-by-step explanation:

given that tonya charges 20$ monthly fee and 3$ per mile of her dog-walking service.

and beth does not charge any monthly fee but charges 5$ per mile of the dog walked in.

let x be the number of miles dog has walked in a month.

the amount tonya will charge on x miles = fixed monthly fee + number of miles * charge per mile = 20+3x

and the amount beth will charge on x miles = 0+ 5*x = 5x.

we are asked to find the x-value for which beth chargeable amount = tonya chargeable amount

that is 5x = 20+3x

5x-2x = 20

2x=20

x=\frac{20}{2}   = 10

hence number of miles for which tonya and beth will charge the same amount is 10.

7 0
2 years ago
Which is the additive inverse of the complex number -8+3i?
lawyer [7]
The additive inverse of a complex z is a complex number -z, so that

\mathsf{z+(-z)=-z+z=0+0i=0}


Finding -z:

\mathsf{z=-8+3i}\\\\\\ \mathsf{z+(-z)=0+0i}\\\\\ \mathsf{-8+3i+(-z)=0+0i}\\\\ \mathsf{-z=0+0i+8-3i}\\\\ \mathsf{-z=(0+8)+(0i-3i)}\\\\ \boxed{\begin{array}{c}\mathsf{-z=8-3i} \end{array}}\qquad\checkmark


If you're having problems understanding this answer, try seeing it through your browser: <span>brainly.com/question/2159647


</span>I hope this helps.


Tags: <em>complex number additive inverse opposite algebra</em>

3 0
2 years ago
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