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Artyom0805 [142]
3 years ago
6

Help please Can you clear fractions in an equation by multiplying each side by a common denominator other than the LCD? Give an

example to explain your reasoning.
Mathematics
1 answer:
Katena32 [7]3 years ago
7 0
Yes   here is an example:_

x/4  +  5/6  =  2

The LCD of 4 and 6 is 12  but we can also multiply through by 24 to clear the fractions:-

x/4 * 24  +  5/6 * 24 = 2 + 24

6x  + 20 = 40

This will give us the same result  if we multiplied through by 12.


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Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption,
kompoz [17]

If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is

V_{flask}=V_{sphere}+V_{cylinder}.

Use following formulas to determine volumes of sphere and cylinder:

V_{sphere}=\dfrac{4}{3}\pi R^3,\\ \\V_{cylinder}=\pi r^2h,

wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.

Then

  • V_{sphere}=\dfrac{4}{3}\pi R^3=\dfrac{4}{3}\pi \left(\dfrac{4.5}{2}\right)^3=\dfrac{4}{3}\pi \left(\dfrac{9}{4}\right)^3=\dfrac{243\pi}{16}\approx 47.71;
  • V_{cylinder}=\pi r^2h=\pi \cdot \left(\dfrac{1}{2}\right)^2\cdot 3=\dfrac{3\pi}{4}\approx 2.36;
  • V_{flask}=V_{sphere}+V_{cylinder}\approx 47.71+2.36=50.07.

Answer 1: correct choice is C.

If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So

R'=2R, r'=2r, h'=2h.

Write the new fask volume:

V_{\text{new flask}}=V_{\text{new sphere}}+V_{\text{new cylinder}}=\dfrac{4}{3}\pi R'^3+\pi r'^2h'=\dfrac{4}{3}\pi (2R)^3+\pi (2r)^2\cdot 2h=\dfrac{4}{3}\pi 8R^3+\pi \cdot 4r^2\cdot 2h=8\left(\dfrac{4}{3}\pi R^3+\pi r^2h\right)=8V_{flask}.

Then

\dfrac{V_{\text{new flask}}}{V_{\text{flask}}} =\dfrac{8}{1}=8.

Answer 2: correct choice is D.


8 0
3 years ago
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Which equation would graph as a straight line? x2 – y = 0 y = x 2y = x2 y=1/2×2-1 x2 = 0
Gwar [14]

Answer:

y=1/2×2-1

Step-by-step explanation:

x2 – y = 0 yields a parabola.

y = x is straight but has a slope to make it increase/decrease.

2y = x2 yields a parabola.

x2 = 0 yields a parabola.

3 0
2 years ago
I will mark you brainliest for answering
frez [133]

Answer:

28%

Step-by-step explanation:

8 0
3 years ago
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Is 0/12 a rational or irrational number
kondor19780726 [428]
I feel like it would be rational because 0/12 = 0, and 0 is a rational number.
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3 years ago
What is the equation of the line passing through points (1,1) and (3,-5)
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Answer:

m=-3

Step-by-step explanation:

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