Ask question

Ask question

All categories

2 years ago

9

X/3=x+2/5 soo...x=___

1 answer:

Stolb23 [73]2 years ago

7 0

X/3 = x + 2/5....multiply everything by common denominator of 15
5x = 15x + 6
5x - 15x = 6
-10x = 6
x = -6/10 reduces to - 3/5

or...
x/3 is the same as 1/3x

1/3x = x + 2/5
1/3x - x = 2/5
1/3x - 3/3x = 2/5
-2/3x = 2/5
x = 2/5 * -3/2
x = - 6/10 which reduces to - 3/5

You might be interested in

Bella is making button barrettes. She allows each of her friends to reach into her bag of buttons and randomly select a color. T

bija089 [108]

Pink 30/240

green 70/240

orange 100/240

blue 50/240

6 0

2 years ago

Read 2 more answers

Find the volume of the solid formed by revolving the region bounded by LaTeX: y = \sqrt{x} y = x and the lines LaTeX: y = 1 y =

Strike441 [17]

Answer:

The volume is:

$\displaystyle\frac{37\pi}{10}$

Step-by-step explanation:

See the sketch of the region in the attached graph.

We set the integral using washer method:

$\displaystyle\int_a^b\pi r^2dx$

Notice here the radius of the washer is the difference of the given curves:

$x-\sqrt{x}$

So the integral becomes:

$\displaystyle\int_1^4\pi(x-\sqrt{x})^2dx$

We solve it:

Factor $\pi$ out and distribute the exponent (you can use FOIL):

$\displaystyle\pi\int_1^4x^2-2x\sqrt{x}+x\,dx$

Notice: $x\sqrt{x}=x\cdot x^{1/2}=x^{3/2}$

So the integral becomes:

$\displaystyle\pi\int_1^4x^2-2x^{3/2}+x\,dx$

Then using the basic rule to evaluate the integral:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{2x^{5/2}}{5/2}+\frac{x^2}{2}\right|_1^4$

Simplifying a bit:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{4x^{5/2}}{5}+\frac{x^2}{2}\right|_1^4$

Then plugging the limits of the integral:

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(4)^{5/2}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Taking the root (rational exponents):

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(2)^{5}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Then doing those arithmetic computations we get:

$\displaystyle\frac{37\pi}{10}$

6 0

2 years ago

I don't get this at all , need asap thank you !!

Mkey [24]

The formula of a trapezoid is the sum of the both bases multiplied by the height then divided by 2.

3 0

2 years ago

What is the distance between the two points shown?

bonufazy [111]

The distance is (-4, 4)

Explanation: I moved down 4 cubes (negative) and moved right 4 cubes (positive).

I hope I am right :)

7 0

2 years ago

Read 2 more answers

The diameter of a building's dome is 82 feet at its widest point. Find its circumference. Round to the nearest tenth. Use 3.14 f

andreyandreev [35.5K]

Answer:

257.5 ft

Step-by-step explanation:

circumference of a circle with diameter=

pi*d

3.14*82=257.48

Hope this helps!

7 0

2 years ago

Read 2 more answers