How many times do 5 go into 8

Given:

The recurring decimal is [tex]0.47\overline{2}[/tex].

To prove:

Algebraically that the recurring decimal [tex]0.47\overline{2}[/tex] can be written as [tex]\dfrac{17}{36}[/tex].

Proof:

Let,

[tex]x=0.47\overline{2}[/tex]

[tex]x=0.472222...[/tex]

Multiply both sides by 100.

[tex]100x=47.2222...[/tex]     ...(i)

Multiply both sides by 10.

[tex]1000x=472.2222...[/tex]        ...(ii)

Subtract (i) from (ii).

[tex]1000x-100x=472.2222...-47.2222...[/tex]

[tex]900x=425[/tex]

Divide both sides by 900.

[tex]x=\dfrac{425}{900}[/tex]

[tex]x=\dfrac{17}{36}[/tex]

So, [tex]0.47\overline{2}=\dfrac{17}{36}[/tex].

Hence proved.

Answer:

Error = 1.167 feet

Percentage error = 0.3242%

Step-by-step explanation:

The original length of the soccer field = 120 yards long

Converting to feet

1 yard = 3 feet

120 yards = x

Cross Multiply

x = 120 × 3 feet

x = 360 feet

Measured length:

Han measures the length of the field using a 30-foot-long tape measure and gets a measurement of 358 feet, 10 inches.

We convert 10 inches to feet

1 inch = 0.0833 feet

10 inches = x feet

Cross Multiply

x = 10 × 0.0833 feet

x = 0.833 feet

The measured length = 358 feet + 0.833 feet

= 358.833 feet

The Error is calculated as:

|Measured length - Original Length)

= 360 feet - 358.833 feet

= 1.167 feet

Percentage Error

= Error/Original Length × 100

= 1.167/360 × 100

= 0.3241666667%

Approximately = 0.3242%

Answer:

f⁻¹(x) = 1/2 x + 2

Step-by-step explanation:

f(x) = 2x - 4      y=2x - 4

swap x and y:  x = 2y - 4

solve y:   2y = x + 4

y = 1/2 x + 2

Inverse notation:   f⁻¹(x) = 1/2 x + 2

Answer:

THE ANSWER IS 44!

Step-by-step explanation:

Answer:

x = 31°

Step-by-step explanation:

triangle = 180°

-there is a right angle

180-90 = 90

90-59= 31

31+90+59 = 180

Answer:

[tex]x=31^{\circ},\\y=5[/tex]

Step-by-step explanation:

Since DB bisects [tex]\angle ABC[/tex], [tex]DC=DA[/tex]. Therefore, [tex]\fbox{$y=5$}[/tex].

From the isosceles base theorem, the measure of the angles adjacent to the congruent sides of an isosceles triangle are equal. Therefore, we can write the following equation:

[tex]2x+59+59=180,\\2x+118=180,\\2x=62,\\x=\fbox{$31^{\circ}$}[/tex].

Answer: 6992

Step-by-step explanation: (88 / 1 = 88) (88 * 2 = 176) (176 * 5 = 880) (880 - 9 = 871) (871 + 3 = 874) (874 * 8 = 6992)

Answer: a = -75

Step-by-step explanation:

i just multiplied both sides by 5, in order to get "a" by itself.

-75 = a

then, just for kicks, we switch it around so that the variable is in front.

a = -75

Answer:

the answer is 62!

Step-by-step explanation:

multiply

Answer:

$248

Step-by-step explanation:

310/100=3.1

3.1x20=62

310-62=248$

Answer:

-2/3

Step-by-step explanation:

-2/3= -.066666667

-3/5= -0.6

3/10= 0.3

11/20= 0.55

3:6 but if u simplify it it will become

1:2

yes aaaaaaaaaaaaaaaxxs

[tex]find \: lengh \: bc \: because \: find \: the \: base \: area \: \\ bc = ad \\ from \: ac = 15mm \\ ab = 12mm \\ from Pythagoras \: {c}^{2} = {a}^{2} + {b}^{2} \\ is \: {(ac)}^{2} = {(bc)}^{2} + {(ab)}^{2} \\ 15 ^{2} = {(bc)}^{2} + {12}^{2} \\ {(bc)}^{2} = 15^{2} - {12}^{2} \\ bc = \sqrt{{15}^{2} - {12}^{2} } \\ bc = \sqrt{225 - 144} \\ bc = \sqrt{81} \\ bc = 9 \: or \: - 9 \\ bc = 9 \\ base \: area \: = bc \: \times \: ab \\ = 9 \times 12 = 108 {mm}^{2} \\ volume \: pyramid \: = \: \frac{1}{3} \times base \: area \times hight \\ = \frac{1}{3} \times 108 {mm}^{2} \times 13mm \\ = 468 {mm}^{3} [/tex]

Answer:

13.5

Step-by-step explanation:

The longest side of the smaller triangle is 15 while that of the bigger one is 22.5

The enlargement ratio is 22.5/15 = 1.5

so the lengths of the smaller sides will be;

(1.5*9) = 13.5

Answer:

3p + 12 = 36

3p = 36 - 12

3p = 24

p=8

Answer:

 p = 8

Step-by-step explanation:

3( p + 4) = 36

3p + 12 = 36

     - 12    - 12

3p = 24

_______

     3

 p = 8

Hope this helps!

Answer:

there is no attached file

Step-by-step explanation:

An overall shape of a modified tetrahedral with three tetrahedrals embedded within. The three carbons are all central atoms.

Answer:

1/3^3 *1/3^2

1/27 *1/9

1/243

Answer: 1/243

Step-by-step explanation:

first, i calculate it.

3^-5

then, i expressed it with a positive exponent.

1/3^5

finally, i simplified it.

1/243

the other factors are: (x+3) and (2x−3)

Step-by-step explanation:

Answer:

80% complete with the test

Step-by-step explanation:

what you would do is if he does 20 out of 25 questions you would think that 25 is 100 and you would see that 20 is 80% because of you doing 5,10,5,20,25 the 20 is the 4th one and 80 is the forth of 100 so the answer is 80%.

Hope this helps :)

Answer:

[tex]\huge\boxed{\tt{ No.}}[/tex]

Step-by-step explanation:

DVD player = $ 49.95

DVD Holder = $ 19.95

Personal Stereo = $ 21.95

Sum of Prices = $ 49.95 + $ 19.95 + $ 21.95 = $ 91.85

Ellan has $ 90 which is less than $ 91.85 which means that Ellan does not have enough to buy all three items.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

the answer is 144 feet and I don't really have an explanation

Answer:

Radius = 12 feet

Step-by-step explanation:

The area of a circle formula is Area = pi r^2 ("r" represents the radius)

The area of Circle Q is 144pi

You can substitute "Area" with 144pi, which would look like this:

144pi = pi x r^2

Now divide both sides with "pi", which gives:

144 = r^2

Finally, square root both sides:

sqrt(144) = sqrt(r^2)                     (sqrt = square root)

And that gives

12 = r

So the radius is 12 feet.

Answer:

(x - 9)(x + 9)

Step-by-step explanation:

x² - 81 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), then

x² - 81

= x² - 9²

= (x - 9)(x + 9)

Answer:

Andre and 6 weeks

Step-by-step explanation:

because,20x4+10=90 and 5x4+100=

Answer:

$2.81

Step-by-step explanation:

From the above question:

1 liter of gasoline = $0.74

There are 3.8 liters in one gallon.

Hence:

1 liter of gasoline = $0.74

3.8 liters of gasoline = x

Cross Multiply

x = 3.8 × $0.74

x = $2.812

Approximately to the nearest hundredth = $2.81

Therefore , the cost of one gallon of gas(3.8 liters) in Toronto is $2.81

Answer:

Same back to you

Step-by-step explanation:

I hope you smile today and don't let corona stop you from anything

Answer: thank you

Step-by-step explanation:

Answer:

1.2192

Step-by-step explanation:

There are 1.22 meters in 4 feet.

It is the conversion of one unit to another unit with its standard conversion.

We have,

1 meter = 3.28 feet

1 ft = 0.3048 m

Multiply 4 on both sides.

4 ft = 4 x 0.3048 m

4 ft = 1.2192 m

Rounding to the nearest hundredth.

4 ft = 1.22 m

Thus,

4 feet is equal to 1.22 meters.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ2

Answer: 3.55 g

Step-by-step explanation: 3.447 g rounded to the nearest 1/100 g is 3.55 g.

Hint: nearest 1/100 g also means nearest hundredth!

Answer:

x = 10

Step-by-step explanation:

Given the 2 equations

12x - 6y = 60

24x + 6y = 300

Adding the 2 equations term by term will eliminate the y- term, that is

36x + 0 = 360

36x = 360 ( divide both sides by 36 )

x = 10