All categories

3 years ago

I need help with this problem what fractions are equivalent to 4.05 repeating

Mathematics

1 answer:

kow [346]3 years ago

6 0

Answer:

401/99 and 802/198

Step-by-step explanation:

Unfortunately the other answer to this question is wrong - you are looking for something equivalent to 4.0505050505050505, not just 4.05.

Typing the answer suggestions into a calculator you get:

405/99 = 4.0909090909 which is incorrect

401/99 = 4.0505050505 which is correct

81/33 = 2.45454545455 which is incorrect

802/198 = 4.0505050505 which is correct

405/100 = 4.05 which is incorrect as it doesn't repeat.

Hopefully this helps, let me know if you have any questions :)

You might be interested in

*FIRST ANSWER GETS BRAINLIEST*

svet-max [94.6K]

The other solution to the equation is -3.

Step-by-step explanation:

Given equation is;

5x²+bx+12=0

One solution is -4/5

We will put this solution in Eqn to get the value of b first,

$5(\frac{-4}{5})^2+b(\frac{-4}{5})+12=0\\5(\frac{16}{25})+(\frac{-4b}{5})+12=0\\\frac{16}{5}-\frac{-4b}{5}=-12\\$

Multiplying each term by 5

$5*(\frac{16}{5})-\frac{-4b}{5}*5=-12*5\\16-4b=-60\\-4b=-60-16\\-4b=-76$

Dividing both sides by -4

$\frac{-4b}{-4}=\frac{-76}{-4}\\b=19$

Putting b=19 in given Eqn

5x²+19x+12=0

Here,

a=5 , b=19 , c=12

Using quadratic formula,

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}\\x=\frac{-(19)\±\sqrt{(19)^2-4(5)(12)}}{2(5)}\\\\x=\frac{-19\±\sqrt{361-240}}{10}\\\\x=\frac{-19\±11}{10}\\$

Either, or,

$x=\frac{-19+11}{10},\ \ \ \ \ \ x=\frac{-19-11}{10}\\x=\frac{-8}{10},\ \ \ \ \ \ \ \ \ x=\frac{-30}{10}\\x=\frac{-4}{5},\ \ \ \ \ \ \ \ \ \ x= -3$

The other solution to the equation is -3.

Keywords: linear equation, quadratic formula

Learn more about quadratic formula at:

#LearnwithBrainly

6 0

3 years ago

What is the value of x in simplest radical form ?

snow_lady [41]

Https://www.youtube.com/watch?v=zsEC8A_3QXw

6 0

4 years ago

Read 2 more answers

Do any of you know how to do this? -6(x + 6) + 7 = -7(-5 + 2x)

RideAnS [48]

The answer should be x=8 if you are looking for what x is

6 0

3 years ago

Work out the volume of a frustum please help me i’ll give u brainleist

masha68 [24]

Answer: 137.25π ≈ 431.18 cm³

Step-by-step explanation:

Entire Cone - Tip of Cone = Frustrum

$V_{cone}=\dfrac{1}{3}\pi r^2h\\\\\\V_{Entire}=\dfrac{1}{3}\pi (6)^2(12)\quad =\quad 144\pi\\\\V_{Tip}=\dfrac{1}{3}\pi \bigg(\dfrac{6}{4}\bigg)^2\bigg(\dfrac{12}{4}\bigg)\quad =\quad \dfrac{27}{4}\pi\\\\\\\\V_{Frustrum}=V_{Entire}-V_{Tip}\\\\.\qquad \qquad =144\pi-\dfrac{27}{4}\pi\\\\.\qquad \qquad =\dfrac{549}{4}\pi\\\\.\qquad \qquad =137.25\pi\\\\.\qquad \qquad=\large\boxed{431.18}$

4 0

4 years ago

Read 2 more answers

how do u calculate the distance from the centre of the circle to the centre of one edge of the hexagon

bearhunter [10]

That line is called an apothem.
In a hexagon, the side length = radius

apothem = side length / (2 * tan (180/#sides))
apothem = 8.5 / (2 * tan (180 / 6))
apothem = 8.5 /( 2 * tan (30))
apothem = 8.5 / 2 * tan (30)
apothem = 8.5 / 2 * 0.57735

apothem = 7.3612193643 

Source:http://www.1728.org/polygon.htm

5 0

3 years ago

Read 2 more answers