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3 years ago

What fractions are equivalent to 1.27 repeated

1 answer:

kramer3 years ago

3 0

Let x equal your repeating decimal. Call this equation x = 1.273
Multiply both sides of your previous expressions by 100. Call this equation 100x = 127.273
Subtract 1 from both sides of the equation to get 99x = 126.
Divide both sides of the equation by 99 to get 126/99.
126/99 reduced is to its lowest terms is 1 and 3/11.

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steposvetlana [31]

The two curves $y=x$ and $y=x^{1/15}$ intersect at $x=0$ and $x=1$ , with $x^{1/15}\ge x$ over $0\le x\le1$ .

Washer method

$\displaystyle\pi\int_0^1\left(\left(x^{1/15}\right)^2-x^2\right)\,\mathrm dx=\pi\int_0^1\left(x^{2/15}-x^2\right)\,\mathrm dx=\pi\left(\frac{15}{17}-\frac13\right)=\boxed{\frac{28\pi}{51}}$

Shell method

We have $y=x^{1/15}\implies x=y^{15}$ . The curves $x=y$ and $x=y^{15}$ intersect at $y=0$ and $y=1$ , with $y\ge y^{15}$ over $0\le y\le1$ .

$\displaystyle2\pi\int_0^1y\left(y-y^{15}\right)\,\mathrm dy=2\pi\int_0^1\left(y^2-y^{16}\right)\,\mathrm dy=2\pi\left(\frac13-\frac1{17}\right)=\boxed{\frac{28\pi}{51}}$

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3 years ago

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LUCKY_DIMON [66]

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3 years ago

What is an equation of the line that passes through the point (−1,−6) and is parallel to the line 5x-y=9

satela [25.4K]

Answer:

-5x + y = -1 or y = 5x - 1

Step-by-step explanation:

5x - y = 9

-5x - 5x

__________

-y = -5x + 9

__ ______

-1 -1

y = 5x - 9

__________________________________________________________

-6 = 5[-1] + b

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-1 = b

y = 5x - 1

If you want it in Standard Form:

y = 5x - 1

-5x -5x

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-5x + y = -1 >> Line in Standard Form

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3 years ago

What is the value of this expression? 1.5(−2.4+(−5.3))

Ahat [919]

Answer:

-11.55

Step-by-step explanation:

(to get the numbers out of the brackets you have to multiply all the numbers in the brackets to the number that is there, and in this case its 1.5)

1.5x(-2.4)= -3.6

1.5×(-5.3)= -7.95

after that, you add them (because there is a plus sign, not a minus, multiplication sign or a division sign.)

-7.95+ -3.6= -11.55

answer= -11.55

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3 years ago

Let point L be between M and N on MN. Given that MN=31, ML= h-15 and LN = 2h-8. Find LN.

shtirl [24]

Given that point L is between M and N on MN. Then
MN = ML + LN
31 = h - 15 + 2h - 8 = 3h - 23
3h = 31 + 23 = 54
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Therefore, LN = 2(18) - 8 = 36 - 8 = 28.

8 0

3 years ago