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Alenkasestr [34]
3 years ago
6

Ten times a number, x, is one-half the sum of the number and three.

Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer:

10x=1/2(x+3)

Step-by-step explanation:

Hope it helps :)

Brainliest pls? Have a good day/night

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A pipe that is 120 cm long resonates to produce sound of wavelengths 480 cm, 160 cm, and 96 cm but does not resonate at any wave
erma4kov [3.2K]

Answer:

A Pipe that is 120 cm long resonates to produce sound of wavelengths 480 cm, 160 cm and 96 cm but does not resonate at any wavelengths longer than these. This pipe is:

A. closed at both ends

B. open at one end and closed at one end

C. open at both ends.

D. we cannot tell because we do not know the frequency of the sound.

The right choice is:

B. open at one end and closed at one end .

Step-by-step explanation:

Given:

Length of the pipe, L = 120 cm

Its wavelength \lambda_1 = 480 cm

                         \lambda_2 = 160 cm and \lambda_3 = 96 cm

We have to find whether the pipe is open,closed or open-closed or none.

Note:

  • The fundamental wavelength of a pipe which is open at both ends is 2L.
  • The fundamental wavelength of a pipe which is closed at one end and open at another end is 4L.

So,

The fundamental wavelength:

⇒ 4L=4(120)=480\ cm

It seems that the pipe is open at one end and closed at one end.

Now lets check with the subsequent wavelengths.

For one side open and one side closed pipe:

An odd-integer number of quarter wavelength have to fit into the tube of length L.

⇒  \lambda_2=\frac{4L}{3}                                   ⇒  \lambda_3=\frac{4L}{5}

⇒ \lambda_2=\frac{4(120)}{3}                              ⇒  \lambda_3=\frac{4(120)}{5}

⇒ \lambda_2=\frac{480}{3}                                  ⇒  \lambda_3=\frac{480}{5}

⇒ \lambda_2=160\ cm                           ⇒   \lambda_3=96\ cm  

So the pipe is open at one end and closed at one end .

6 0
3 years ago
20/60+15/60=35/60&gt;<br> What dose it equal
stepladder [879]

Answer:

\dfrac{7}{12}

Step-by-step explanation:

1. Find the Greatest Common Factor of the numerator and denominator.

The prime factors of 35 are             <u>5</u>,     7,                              35  

The prime factors of 60 are 2, 3, 4, <u>5</u>, 6,     10, 12, 15, 20, 30,      60

The only common factor of 35 and 60 is 5.

2. Divide the numerator and denominator by the Greatest Common Factor.

\dfrac{35}{60} = \mathbf{\dfrac{7}{12}}

8 0
3 years ago
VW | UX. Find UY 20 39 X 26 w​
Lorico [155]

Answer:

39?

Step-by-step explanation:

Because the distance between U and Y is 39.

(I'm sorry if I was wrong)

7 0
2 years ago
How much greater is the area of a a square with a side length of 8 inches than the area of a circle with radius of 4 inches?
expeople1 [14]
Area of a square= l²
                           = 8×8 = 64 in²

Area of  a circle= πr²
                         = π × 4²
                         = 50.3 in²
Difference = 64 - 50.3 = 13.7 in²
7 0
3 years ago
which of the following algebraic expression can be used to express the statement three less than z squared
frez [133]
z^{2}-3
3 0
3 years ago
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