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REY [17]
3 years ago
6

1.32 repeating as a fraction​

Mathematics
1 answer:
aleksandrvk [35]3 years ago
8 0

Answer:

\frac{131}{99}

Step-by-step explanation:

Let    

x=1.323232...

Multiply x by a power of  10, one that keeps the decimal part of the number the same:  

100x=132.3232..

Subtract x from \\100x

100x-x=132.3232...-1.3232...=131

The repeating decimals should cancel out

\\99x=131

solve for x

Divide by 99 both sides

x=\frac{131}{99}

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Answer:

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3 years ago
a number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and1. How ma
NeX [460]

Answer:

There is NO solution

Step-by-step explanation:

Considering 'y' be the number

Considering x be the smaller number

As 'y' is equal to twice a smaller number plus 3.

so

y = 2x + 3

also

y is equal to twice the sum of the smaller number and 1.

so

y = 2x + 1

so the system of equations become

y = 2x + 3

y = 2x + 1

solving

\begin{bmatrix}y=2x+3\\ y=2x+1\end{bmatrix}

\mathrm{Subsititute\:}y=2x+1

\begin{bmatrix}2x+1=2x+3\end{bmatrix}

\mathrm{Refine\:}2x+1=2x+3

-2=0

-2=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}

\mathrm{No\:Solution}

Therefore, there is NO solution.

7 0
3 years ago
61 = m + - 8 what would be m
Zigmanuir [339]

Answer:

m would be 69!

Step-by-step explanation:

61 = m - 8

61 + 8 = m - 8 + 8

69 = m

7 0
3 years ago
Read 2 more answers
I really need help with this question!
Bingel [31]
I would convert -2pi / 3 to degrees first by multiplying by 180degrees / pi. It equals 120 degrees.

120 degrees is in quadrant II, which is 90 degrees plus 30 degrees. It is 60 degrees from the 180 degrees. 
So the reference triangle you use is 60 degrees.
Cos60 = 0.5
sin60 = sqrt(3) /2

But in quadrant II the only trig ratio that's positive is sin; all others are negative. 
So cos120 = -0.5
sin60 = sqrt(3) /2

<span>Keeping in mind that points on unit circle are (cos, sin), the point is </span>(-0.5, <span>sqrt(3) /2).
</span>
6 0
3 years ago
Felipe is ordering new carpet for his bedroom floor. (The floor is represented in the picture below as rectangle JKLM). He knows
svetlana [45]

Answer: 312.3 square feet

Step-by-step explanation:

7 0
3 years ago
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