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Mnenie [13.5K]
2 years ago
5

.135 repeating as a fraction

Mathematics
1 answer:
ladessa [460]2 years ago
3 0
0.135135135...=0.\overline{135}=0.(135)


x=0.(135)\ \ \ \ |multiply\ both\ sides\ by\ 1000\\\\1000x=135.(135)\\\\1000x-x=135.(135)-0.(135)\\\\999x=135\ \ \ \ \ \ |divide\ both\ sides\ by\ 999\\\\x=\frac{135}{999}\\\\divide\ a\ numerator\ and\ a\ denominator\ by\ 27\\\\x=\frac{5}{37}
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lord [1]

Answer:

The amount that William has at the beginning is $37.50 and the amount that Gracie has at the beginning is $52.50

Step-by-step explanation:

Let

x ---> amount that William has at the beginning

y ---> amount that Gracie has at the beginning

we know that

William says to Gracie, "If you give me $7.50,we will have and equal amount of money

so

x+7.50=y-7.50

y=x+15.00 ----> equation A

"Grace responds, if you give me $ 7.50 instead, I will have twice as much money as you

2(x-7.50)=(y+7.50)

2x-15.00=y+7.50

2x-y=22.50 ----> equation B

substitute equation A in equation B

2x-(x+15.00)=22.50

solve for x

x=22.50+15.00=37.50

Find the value of y

y=37.50+15.00=52.50

therefore

The amount that William has at the beginning is $37.50 and the amount that Gracie has at the beginning is $52.50

8 0
3 years ago
Find the difference. The answer should be in simplest form.<br><br> −2/3 − 1/3 =
MakcuM [25]

Answer:

-1

Step-by-step explanation:

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Since the denominators are the same, we can combine the numerators

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5 0
3 years ago
Is feet bigger than inches
a_sh-v [17]

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Example: 6 feet would be equal to 72 inches.

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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To explainn why 6 and 600 are both fine, 6 is measuring with full inches while the 600 is measuring with .01 inches. One graph will be full numbers while the other will be decimals.

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3 years ago
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