7x−2(x+3) =? also you have to simplify your answer

2x — бу = 12 х+ 10 = — 9

Serggg [28]

Answer:

x = -19; y = 25/3

Step-by-step explanation:

Step 1: solve the equation with only one variable

Isolate the variable (x)

x + 10 = -9

x = -9 - 10

x = -19

Step 2: input new information into the other equation

If x = -19, then:

2(-19) - 6y = 12

Isolate the variable (y)

-38 - 6y = 12

-6y = 12 + 38

-6y = 50

y = 50 ÷ 6

y = 50/6

Simplify

y = 25/3

5 0

3 years ago

Write 785,420 in expanded form

Fofino [41]

Answer:

700,000+80,000+5,000+400+20

7 0

3 years ago

Read 2 more answers

From a piece of tin in the shape of a square 6 inches on a side, the largest possible circle is cut out. What is the ratio of th

wel

Answer:

$\sf \dfrac{1}{4} \pi \quad or \quad \dfrac{7}{9}$

Step-by-step explanation:

The width of a square is its side length.

The width of a circle is its diameter.

Therefore, the largest possible circle that can be cut out from a square is a circle whose diameter is equal in length to the side length of the square.

Formulas

$\sf \textsf{Area of a square}=s^2 \quad \textsf{(where s is the side length)}$

$\sf \textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}$

$\sf \textsf{Radius of a circle}=\dfrac{1}{2}d \quad \textsf{(where d is the diameter)}$

If the diameter is equal to the side length of the square, then:
$\implies \sf r=\dfrac{1}{2}s$

Therefore:

$\begin{aligned}\implies \sf Area\:of\:circle & = \sf \pi \left(\dfrac{s}{2}\right)^2\\& = \sf \pi \left(\dfrac{s^2}{4}\right)\\& = \sf \dfrac{1}{4}\pi s^2 \end{aligned}$

So the ratio of the area of the circle to the original square is:

$\begin{aligned}\textsf{area of circle} & :\textsf{area of square}\\\sf \dfrac{1}{4}\pi s^2 & : \sf s^2\\\sf \dfrac{1}{4}\pi & : 1\end{aligned}$

Given:

side length (s) = 6 in
radius (r) = 6 ÷ 2 = 3 in

$\implies \sf \textsf{Area of square}=6^2=36\:in^2$

$\implies \sf \textsf{Area of circle}=\pi \cdot 3^2=28\:in^2\:\:(nearest\:whole\:number)$

Ratio of circle to square:

$\implies \dfrac{28}{36}=\dfrac{7}{9}$

5 0

2 years ago

Cual es el valor de un esfero cuando la docena se compra en $7848? Area de un triangulo de 9 unidades de base y 6 unidades de al

aniked [119]

Answer:

a) $654

b) 27 unidades cuadradas

c) 721

Step-by-step explanation:

a) ¿Cuál es el valor de un bolígrafo cuando la docena se compra por $ 7848?

Una docena = 12

Por eso:

12 bolígrafos = $ 7848

1 bolígrafo = $ x

Cruz multiplicar

12 bolígrafos × $ x = 1 bolígrafo × $ 7848

$ x = 1 bolígrafo × $ 7848/12

$ x = $654

b) Área de un triángulo ¿9 unidades de base y 6 unidades de altura?

Área de un triángulo =

= 1/2 × Base × Altura

1/2 × 9 × 6

= 27 unidades cuadradas

c) Cien veces la suma de 4.5 con 2.71

Esto se calcula como:

100 × (4,5 + 2,71)

= 100 × (7.21)

= 721

6 0

3 years ago

What is the answer 4+3x = -2y

lilavasa [31]

First add 2y to both sides
so 4 + 3x + 2y = 0
then subtract 4 from both sides
so 3x + 2y = -4
that is standard form
now subtract 3x from both sides
2y = 3x - 4
now divide by 2 on both sides
y = 1.5x - 2
This is solved for y and is slope intercept form
starting from original subtract 4 from both sides
so 3x = -2x -4
now divide by 3 on both sides
so x = -2/3x -4/3
this is solved for x
hope any of that is what you needed.

6 0

3 years ago