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stich3 [128]
3 years ago
10

2/3 of a number is 3 what is the number

Mathematics
2 answers:
sukhopar [10]3 years ago
7 0

Answer: 4.5

Step-by-step explanation:

2/3 x = 3

x = 9/2 = 4.5

pav-90 [236]3 years ago
6 0

Answer:

4.5

Step-by-step explanation:

2x/3=3

*3         *3

2x=9

:2    :2

x=4.5

I give you an explanation by drawing this

/-----/-----/-----/      is the number

....3.......          ( cause 2/3 are only 2 segments)

so  a segment is 3/2=1.5

3 segments  are  3*1.5=4.5

I hope you will understand !

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Approximate 47.96 to the nearest tenth​
Iteru [2.4K]

Answer:

48.0

Step-by-step explanation:

8 0
3 years ago
Find the median of the table below. Number of inches 20,22,24,26. Frequency 3,2,1,3. ​
Charra [1.4K]

Answer:

23

Step-by-step explanation:

20,22,24,26

(22+24)/2 = 23

Hope this helps my bad if its wrong

5 0
3 years ago
Let C be the curve of intersection of the parabolic cylinder x^2 = 2y, and the surface 3z = xy. Find the exact length of C from
Maslowich
I've attached a plot of the intersection (highlighted in red) between the parabolic cylinder (orange) and the hyperbolic paraboloid (blue).

The arc length can be computed with a line integral, but first we'll need a parameterization for C. This is easy enough to do. First fix any one variable. For convenience, choose x.

Now, x^2=2y\implies y=\dfrac{x^2}2, and 3z=xy\implies z=\dfrac{x^3}6. The intersection is thus parameterized by the vector-valued function

\mathbf r(x)=\left\langle x,\dfrac{x^2}2,\dfrac{x^3}6\right\rangle

where 0\le x\le 4. The arc length is computed with the integral

\displaystyle\int_C\mathrm dS=\int_0^4\|\mathbf r'(x)\|\,\mathrm dx=\int_0^4\sqrt{x^2+\dfrac{x^4}4+\dfrac{x^6}{36}}\,\mathrm dx

Some rewriting:

\sqrt{x^2+\dfrac{x^4}4+\dfrac{x^6}{36}}=\sqrt{\dfrac{x^2}{36}}\sqrt{x^4+9x^2+36}=\dfrac x6\sqrt{x^4+9x^2+36}

Complete the square to get

x^4+9x^2+36=\left(x^2+\dfrac92\right)^2+\dfrac{63}4

So in the integral, you can substitute y=x^2+\dfrac92 to get

\displaystyle\frac16\int_0^4x\sqrt{\left(x^2+\frac92\right)^2+\frac{63}4}\,\mathrm dx=\frac1{12}\int_{9/2}^{41/2}\sqrt{y^2+\frac{63}4}\,\mathrm dy

Next substitute y=\dfrac{\sqrt{63}}2\tan z, so that the integral becomes

\displaystyle\frac1{12}\int_{9/2}^{41/2}\sqrt{y^2+\frac{63}4}\,\mathrm dy=\frac{21}{16}\int_{\arctan(3/\sqrt7)}^{\arctan(41/(3\sqrt7))}\sec^3z\,\mathrm dz

This is a fairly standard integral (it even has its own Wiki page, if you're not familiar with the derivation):

\displaystyle\int\sec^3z\,\mathrm dz=\frac12\sec z\tan z+\frac12\ln|\sec x+\tan x|+C

So the arc length is

\displaystyle\frac{21}{32}\left(\sec z\tan z+\ln|\sec x+\tan x|\right)\bigg|_{z=\arctan(3/\sqrt7)}^{z=\arctan(41/(3\sqrt7))}=\frac{21}{32}\ln\left(\frac{41+4\sqrt{109}}{21}\right)+\frac{41\sqrt{109}}{24}-\frac98

4 0
4 years ago
Please Help if you can!! I also have more questions in my profile!
bixtya [17]

Answer:

(0, 9), (0, 0), (0, 1)

Step-by-step explanation:

Hope it helps you in your learning process.

3 0
3 years ago
The question is in the photo :)
Musya8 [376]

Answer:

Step-by-step explanation:

1)

Quantity of glass recycled each minute = 1/3 tons

We know that;

1 hour = 60 minutes

Hence,

Quantity of glass recycled in one hour = 1/3*60=20 tons

1 day = 24 hours

Quantity of glass recycled in 24 hours = 24*20 = <u>480 tons</u>

4 0
3 years ago
Read 2 more answers
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