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3 years ago

Answer? Please make sure you answer it as a simplified fraction.

Mathematics

1 answer:

Tju [1.3M]3 years ago

8 0

<h3>Answers: </h3><h3>a = 4</h3><h3>b = 11</h3><h3>The fraction is 4/11</h3>

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Work Shown:

Let x = 0.363636...

The "36" pattern goes on forever as indicated by the three dots.

Multiply both sides by 100 to get 100x = 36.363636...

Effectively, multiplying by 100 moves the decimal point over 2 spots to the right. The "36" goes on forever here too. The key is to match up the infinite sequences of "36"s and cancel them out through subtraction

36.363636... - 0.363636... = 36

while

100x - x = 99x

So after subtracting the equations, we end up with 99x = 36

From here we solve for x by dividing both sides by 99 and reducing the fraction

99x = 36

x = 36/99

x = (9*4)/(9*11)

x = 4/11

As a check, use your calculator to find that

4/11 = 0.36363636...

so the answer is confirmed

Note: your calculator may display something like 0.3636363636364, that 4 should not be there. It's a result of rounding (due to the next digit being a 6). Keep in mind that rounding error is often a possibility when it comes to approximate calculations. The calculator only has so much memory and display space.

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HELP?!? idk what im doing and nobody has asked this. will give brainliest answrr or whatever its called.

Illusion [34]

9514 1404 393

Answer:

$\textbf{A. }x=\dfrac{-4\pm2\sqrt{13}}{3}$

Step-by-step explanation:

First of all, subtract 12 from both sides of the equation to put it into standard form:

3x² +8x -12 = 0

Then identify the a, b, c of this form:

ax² +bx +c = 0

You see that a=3, b=8, c=-12.

Now use those values in the quadratic formula for the solutions:

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-8\pm\sqrt{8^2-4(3)(-12)}}{2(3)}\\\\x=\dfrac{-8\pm\sqrt{208}}{6}=\dfrac{-8\pm4\sqrt{13}}{6}\\\\\boxed{x=\dfrac{-4\pm2\sqrt{13}}{3}}\qquad\text{factor 2 from numerator and denominator}$

6 0

3 years ago

Jalen is buying a new car. Model: compact, luxury, sport Transmisión: automatic, manual Color: red, blue, black, yellow Jalen de

Gwar [14]

<h3>Jalen can decide a yellow car in 6 possible ways.</h3>

Step-by-step explanation:

The total number of options in Model = 3

{Compact, Luxury, Sport}

The total number of options in Transmission = 2

{Automatic, Manual }

The total number of options in color = 4

{Red, Blue, Black, Yellow }

The color he has decided is <u>YELLOW.</u>

<u></u>

So, the total number of options in model is 3 and transmission is 2.

⇒ The number of ways that can be decided = 3 x 2 = 6 ways

So Jalen can decide a yellow car in 6 possible ways.

3 0

3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

son4ous [18]

Answer:

Step-by-step explanation:

Length=18

Width/Breadth =10

Height=2

The formula for a diagonal face of a cuboid is=√(l²+ b²)

Face diagonal=√(18²+10²)

= 20.59 to 2.d.p

The formula for the body diagonal of a cuboid is=√(l² + b² + h²)

Body diagonal=√(18² + 10² + 2²)

=20.69 to 2.d.p

8 0

2 years ago

Solve the system of equations.<br> <br> −5x−3y−9=0<br> 4x−18y−54=0<br> y=? x=?<br>

Darina [25.2K]

Answer:

Step-by-step explanation:

Eq. 1 ) −5x−3y−9=0

Eq. 2) 4x−18y−54=0

there are two routes to solve this, Substitution or elimination, I'll go for the 2nd one because I can see that the y values are a multiple of each other :)

6 *( −5x−3y−9=0 )

Eq. 3) -30x -18y =54

subtract Eq. 2 from Eq. 3 :)

-30x -18y =54

-34x = 0

so according to the equations then x =0 but, that's not really a full answer, so now we should go back and try the other method, substitution,

then:

-5x = 9 +3y

x = - 9/5 + (-3/5)y

now plug that into Eq. 2

4( - 9/5 + (-3/5)y ) - 18y = 54

-36/5 + (-12/5)y -18y = 54

(-12/5)y - (90/5)y = 54+36/5

-(102/5)*y =270/5+36/5

-(102/5)y = 306/5

y = (-5/102)*(306/5)

y = -306/102

y = -3

then plug in for either equation

-5x-3( -3) = 9

-5x + 9 = 9

-5x = 0

x = 0

now we have the full answer

check it by plugging in both x and y into the 2nd equation

4(0) - 18(-3) = 54

54= 54

this seems good

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3 years ago

P=2=2/+2w help solve for w

mr Goodwill [35]

Answer:

P = 2l + 2w

solve for w

re-write

2l + 2w = P

subtract 2l from both sides

2w = P - 2l

divide both sides by 2

w = (P - 2l) / 2

Answer is B

w = (P - 2l) / 2

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3 years ago