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4 years ago

Simplifique a expressão 10ny-10x+10ny+10y

Mathematics

1 answer:

IRISSAK [1]4 years ago

3 0

Responder:

10 (2ny- (x-y))

Explicación paso a paso:

Dada la expresión 10ny-10x + 10ny + 10y, para simplificar la expresión, se deben seguir los siguientes pasos;

Paso 1; Separa la expresión en términos similares

= 10ny-10x + 10ny + 10y

= (10ny + 10ny) - (10x + 10y)

Paso 2: Factoriza los valores comunes en ambos paréntesis

10ny (1 + 1) - 10 (x-y)

= 10ny (2) - 10 (x-y)

= 20ny - 10 (x-y)

Factoriza nuestro valor común en ambos términos:

= 10 (2ny- (x-y))

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How many cubic inches of material do you need to make a solid rubber ball with diameter<br> of 3

Lera25 [3.4K]

Answer:

Step-by-step explanation:

What we're looking for here is the volume of this ball, which is the volume of a sphere:

$V=\frac{4}{3}\pi r^3$

If our diameter is 3, then the radius is 1.5:

$V=\frac{4}{3}\pi (1.5)^3$

In terms of π, the solution is

$4.5\pi$ which can also be expressed as $\frac{9\pi }{2}$

Or if you have to multiply in the pi, the solution is

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6 0

3 years ago

Read 2 more answers

Increase 160km by 30%

ella [17]

There are two ways you could do this:

1. (if you have a calculator) This is called decimal multipliers, and basically all you do is multiply 160 by 1.3 because 1.3 is 1 (160) and 0.3 (30%) so you would get 208.

2. (without a calculator) This is the 'long way'. You do 160 ÷ 10 = 16 = 10%, and then 16 × 3 = 48 = 30%. After this you just add 48 on to 160 to get 208.

Hope this helps!

8 0

4 years ago

What is the value of 0.3⁴?

Dvinal [7]

It’s 0.0081 HOPE THIs helps

5 0

3 years ago

The sum of three numbers is 120.The third number is 3 times the second. The first number is 5 more than the second. What are the

AVprozaik [17]

Answer:

Sum of 2 no. 120

Let second no. be x

Therefore, first no. =x+5

Therrfore,third no. =3x

Thetefore,x+5+x+3x=120

5x+5=120

5x=115

x=23.

Therefore, 1st no.=28

Second=23

and third=69

6 0

3 years ago

Find all x such that the distance between (-6,-6) and (x,-5) is 19.

amm1812

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{-5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{d}{19}=\sqrt{[x-(-6)]^2+[-5-6]^2}\implies 19=\sqrt{(x+6)^2+(-11)^2} \\\\\\ 19^2=(x+6)^2+(-11)^2\implies 361 = (x^2+12x+36)+121 \\\\\\ 361=x^2+12x+157\implies 0=x^2+12x-204 \\\\[-0.35em] ~\dotfill$

$\bf ~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{-204} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}$

$\bf x = \cfrac{-12\pm\sqrt{12^2-4(1)(-204)}}{2(1)}\implies x = \cfrac{-12\pm \sqrt{144+816}}{2} \\\\\\ x = \cfrac{-12\pm \sqrt{960}}{2}\implies x = \cfrac{-12\pm \sqrt{8^2\cdot 15}}{2}\implies x = \cfrac{-12\pm 8\sqrt{15}}{2} \\\\\\ x = -6\pm 4\sqrt{15}\implies x \approx \begin{cases} 9.49\\ -21.49 \end{cases}$

7 0

3 years ago

Read 2 more answers