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Amiraneli [1.4K]
3 years ago
8

When (8668/25) + (4141/9) - (5533/25) is computed and written as a mixed number in simplest form, what is the fractional part of

that mixed number?
Mathematics
1 answer:
podryga [215]3 years ago
8 0
This is the answer when written in mixed form if that's what the question meant.
585 \ \frac{23}{45}
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Equation\ of\ a\ line\ from\ 2\ points (x_1;\ y_1);\ (x_2;\ y_2):\\\\y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\(-4;\ 2)\ and\ (3;-5)\\subtitute:\\\\y-2=\dfrac{-5-2}{3-(-4)}\cdot(x-(-4))\\\\y-2=\dfrac{-7}{7}\cdot(x+4)\\\\y-2=-(x+4)\\\\y-2=-x-4\ \ \ |add\ x\ and\ 4\ to\ both\ sides\\\\x+y+2=0\\-------------------\\

Point-line\ distance\\l:Ax+By+C=0;\ (x_0;\ y_0)\\\\d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}\\\\x+y+2=0\to A=1;\ B=1;\ C=2\\(1;\ 2)\to x_0=1;\ y_0=2\\subtitute\\\\d=\dfrac{|1\cdot1+1\cdot2+2|}{\sqrt{1^2+1^2}}=\dfrac{|1+2+2|}{\sqrt2}=\dfrac{|5|}{\sqrt2}=\dfrac{5}{\sqrt2}=\dfrac{5\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\\\\=\boxed{\dfrac{5\sqrt2}{2}}
4 0
3 years ago
Help on this problem?? please?
Reptile [31]

MrBillDoesMath!


Answer to #4:  81/256 * s^8 * t^ 12


Comments:

(7x^3) ^ (1/2)   =  7 ^ (1/2)  *  x^(3/2)   where  ^(1/2) means the square root of a quantity. The answer written (7x^3) is NOT correct.

---------------------

(1)             (27s^7t^11)^ (4/3)  

               = 27^(4/3) * (s^7)^(4/3) * (t^11)^ (4/3)


As 27 = 3^3, 27 ^(4/3) = 3^4 = 81

               

(2)  (-64st^2)^ (4/3)  =     (-64)^(4/3) * (s^4/3) * t(^8/3)


As 64 = (-4)^3,  (-64)^(4/3) = (-4)^4 = +256                                        


So (1)/(2) =

81 * s^(28/3)* t^(44/3)

-------------------------------     =

256 s^(4/3) * t^((8/3)


81/256 *  s ^ (28/3 - 4/3) * t^(44/3 - 8/3) =


81/256 * s^(24/3) * t (36/3) =

81/256 * s^8        * t^ 12



MrB

5 0
3 years ago
A spool of rope contains 79 yards of rope. How many​ 4-foot pieces of rope can be cut from the​ spool? How much rope is left​ ov
mart [117]
<h2>Answer:</h2>

59 can be cut from the spool.

3 Inches is left over.

<h2>Step-by-step explanation:</h2>
  1. 237 feet in 79 yards.
  2. 237 / 4 = 59.25
  3. 59 is the whole number, .25 is what is left over.
  4. .25 feet is 3 inches.

8 0
3 years ago
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8.6 because 1 is not great enough to boost that 6 up to a 7
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Answer: Its the pink one and the green one

hope that was helpful!

Step-by-step explanation:

7 0
3 years ago
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