Answer:
The answer is A. -5
Step-by-step explanation:
Write out the equation:
-3 + c = -8 Add 3 on both sides to isolate the varible on one side
c = -5 -8 plus 3 is -5
You must isolate the variable in order to solve equations with variables.
Isolating variable is basically when you divide, multiply, add, or subtract to put a variable on <u><em>ONLY </em></u>one side of the equation.
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Appreciate it! : )
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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, 
= 120 cm
Its wavelength 
= 480 cm
= 160 cm and 
= 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:
⇒ 
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.
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
So the pipe is open at one end and closed at one end
.
Answer:
12.57
Step-by-step explanation:
Not rounded it would be 12.56637
If you are just replacing pi with 3.14. than your answer would be exactly 12.56.
If you're multiplying by 10, you're moving the decimal point to the right, the same with any multiplication in the 10's, so 100, 1,000, etc. This is because you are making the number 10 times larger, so if you had 3.4, the 4 is in the 1/10 column so multiplying by 10 would put it in the units column, making the number 34.
On the other hand, dividing by the 10's makes the decimal point move to the left because you are making the number 10 times smaller, so if the units column is worth 1, then 10 times less than that is 1/10, which is the first decimal place.
I hope this helps! I tried to explain it well but let me know if you still don't understand or if I've confused you in any way :)
Part A: 6w + 12 = 5w + 15
Part B: 6(8) + 12 = 5(8) + 15
48 + 12 = 40 + 15
60 = 55 = Company B equals $55 which is less than $60
Part C: $5 is saved because of the amount of money.
Hope this helps :)
