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vekshin1
3 years ago
8

Rewrite 5/6 and 1/4 as fractions with a least common denominator.

Mathematics
2 answers:
Lesechka [4]3 years ago
3 0
10/12 and 3/12            6 x 2=12, what you do to the bottom you do to the top 5 x 2= 10        4 x 3=12, what you to the bottom you do to the top 1 x 3=3


mixas84 [53]3 years ago
3 0
To find a common denominator you have to compare them till you at least get the closest denominator you can get which would be 12 so they would look like this:
5/12

1/12 
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Write an expression for the verbal phrase:<br> the difference between k and half of b is 47
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k-1/2b=47 because the difference is subtraction and half b is a half fraction and  it equals 47.

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3 years ago
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Tanya [424]

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C

Step-by-step explanation:

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8 0
3 years ago
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Find a particular solution to the nonhomogeneous differential equation y??+4y?+5y=?10x+e^(?x).
Firdavs [7]

Answer:

A) Particular solution:

2x+\frac{1}{2}e^{-x}-\frac{8}{5}

B) Homogeneous solution:

y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))

C) The most general solution is

y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}

Step-by-step explanation:

Given non homogeneous ODE is

y''+4y'+5y=10x+e^{-x}---(1)

To find homogeneous solution:

D^{2}+4D+5=0\\D^{2}+4D+4-4+5=0\\\\(D+2)^{2}=-1\\D+2=\pm iD=-2 \pm i\\y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))---(2)

To find particular solution:

y_{p}=Ax+B+Ce^{-x}\\\\y'_{p}=A-Ce^{-x}\\y''_{p}=Ce^{-x}\\

Substituting y_{p},y'_{p},y''_{p} in (1)

y''_{p}+4y'_{p}+5y_{p}=10x+e^{-x}\\Ce^{-x}+4(A-Ce^{-x})+5(Ax+B+Ce^{-x})=10x+e^{-x}\\

Equating the coefficients

5Ax+2Ce^{-x}+4A+5B=10x+e^{-x}\\5A=10\\A=2\\4A+5B=0\\B=-\frac{4A}{5}B=-\frac{8}{5}2C=1\\C=\frac{1}{2}\\So,\\y_{p}=2x+\frac{1}{2}e^{-x}-\frac{8}{5}---(3)\\

The general solution is

y=y_{h}+y_{p}

from (2) ad (3)

y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}

6 0
2 years ago
The value of b when solving the equation 2 (6 + 12) = 16 is:
elena-s [515]

Answer:

Step-by-step explanation:

2(6+12)=16

2 X 6 +  2  X  12

12     +     24

       26  =  16

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8 0
3 years ago
Which is bigger 0.21, 21%
andrew11 [14]
21% is bigger than 0.21
5 0
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