Express $0.\overline{5}$ as a common fraction in lowest terms.

Answers

Answer 1
Answer:  5/9

=======================================================

Explanation:

[tex]0.\overline{5}[/tex] means that the 5's go on forever because of that horizontal bar over top. So we can write it as [tex]0.\overline{5} = 0.55555\ldots[/tex]

The three dots indicate it goes on forever following that pattern.

Let

x = 0.55555....

Multiply both sides by 10 to move the decimal point 1 spot to the right

10x = 5.55555....

Notice how both x and 10x involve a decimal number such that we have a string of 5's going on forever. If we subtract the two equations, then 10x-x becomes 9x, while the (5.55555....) - (0.55555....) simplifies to 5. The decimal portions cancel out when we subtract since they line up perfectly. We're effectively subtracting 5-0 when we cross off the decimal portions.

After those subtractions, we're left with 9x = 5 which solves to x = 5/9 when you divide both sides by 9.

Use of a calculator should show that 5/9 = 0.555555.... to help confirm the answer. Your calculator may show the last digit to be a 6 instead of a 5, but this is due to rounding. Ideally you should have a string of infinitely many 5's, but the calculator can only how so many digits.


Related Questions

Find all zeros and write the polynomial as a product of linear factors


P(x) = x^3 -5x^2 + 2x +12

Show work please

Answers

The cubic equation can be written as a product of linear expressions as: (x-3)(x^2-2x-4)

what's 200 - 300 ..
.....​

Answers

Answer:

200-300= -100

Step-by-step explanation:

hope u get it

Answer:

1. How are you in high school if you don't know how to solve simple equations like 200-300?

2. 200-300= -100

Step-by-step explanation:

Hope that this helps! :)

pls help there are 5 pics with multiple questions inside of them pls thank you

Answers

Answer:

12. The second one

13. The first one

14. The last one

15. The first one

16. 30 degrees

Step-by-step explanation:

Can someone please help me out this this I don’t get it

Answers

the vertex would be (1,1). Is that what the question is asking?

evaluate each expression when x=3 (iready)

Answers

Answer:

3

Step-by-step explanation:

x^5 = ?^5

x = 3

We plug in x = 3:

3^5 = ?^5

We find the fifth root of both sides and get:

3 = ?

That means that 3 is the answer

Answer:

3

Step-by-step explanation:

To evaluate the expression you would add in the x so in BLANK^3

you would plug in the x which is 3.

What is f(-2)?

A. -3
B. -1
C. 1
D. 3

Answers

Answer:

D.3

Step-by-step explanation:

10) -6x + 8y = 0
-3x + 4y = 2

Infinite solution or no solution

Answers

no solution bc if u multiply the bottom equation by -2, it makes 6x-8y=-4. This caused the x and y to eliminate, leaving 0=2.

There is a line whose slope is 7 and whose y-intercept is -5. why is it's equation in slope-intercept form?​

Answers

Answer:

y = 7x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 7 and c = - 5, then

y = 7x - 5 ← equation of line

find the quotient of $68.20 , 3.1

PLS HELP ME

Answers

Answer:

$68.20 divided by 3.1 = $22

Step-by-step explanation:

1. Slope = -3
Y-intercept = 4
Y = mx + b

Answers

Answer:

y=(-3)+4

Step-by-step explanation:

Answer:

the equation will be y=-3x+4

Step-by-step explanation:

b is the y intercept, and mx is the slope, also the rate of change. if you asking for an equation.

GEOMETRY!!!! HELP PLS THANK U

Answers

Answer:

i think the answer is 45 degrees

Step-by-step explanation:

What is the range of the function represented by the graph?

On a coordinate plane, points are at (0, 1), (1, 2), (2, 3), (3, 4).
{0, 1, 2, 3}
{1, 2, 3, 4}
1 less-than-or-equal-to y less-than-or-equal-to 4
0 less-than-or-equal-to x less-than-or-equal-to 3

Answers

Answer:

{1,2,3,4}

Step-by-step explanation:

cant be zero, also got it right on edge 2020

Answer:

{1,2,3,4}

Step-by-step explanation:

what is the answer to
-4x12

Answers

Answer:

-48

Step-by-step explanation:

the correct answer is,

[tex] - 48[/tex]

write the slope intercept from of the equation of the line​

Answers

Answer:

y= x + 2

Hope this helps

You want to rent a television Company A charges $50 per week plus a one-time fee of $15. Company B charges 130 per week plus a one time fee of $55. After
how many wears are the total costs the same at the companies?

Answers

Company A: y = 50x + 15
Company B: y = 130x + 55

Set the equations equal to each other and solve for x (number of weeks).
50x + 15 = 130x + 55

Subtract 50x from both sides:
15 = 80x + 55

Subtract 55 from both sides:
-40 = 80x

Did you have a typo? The companies will never have the same cost because company B costs so much more and weeks cannot be negative.

3)
Three angles are in the ratio 2:3:5
The smallest angle is 50
Work out the sizes of the other two angles

Answers

Answer:

The other two angles are 75° and 125°.

Step-by-step explanation:

Let three angles are 2x, 3x and 5x.

The smallest angle is 50.

It means,

2x = 50

x = 25

So,

3x = 3(25) = 75°

5x = 5(25) = 125°

So, the other two angles are 75° and 125°.

It cost $5 to go to Fun Night. For every game you play, the fee is $0.75 for each game. If you have $11, how many games can you play?

FIRST: In the space below, write an equation to represent the real-life situation. Remember, the variable and operation should be on one side of the equation and the total on the other.


SECOND: Solve the equation - make sure you show your work. Make sure you check your answer with a calculator and that your answer makes sense.plsss help ill give you 50 pointsss

Answers

Answer for Part A:

11 = 5 + 0.75g

g = games played

Answer for Part B:

If you have $11, you can play 8 games

Explanation:

Put these numbers in order from greatest to least 21, -21/40, -3/8, 21 3/40, 21 3/8

Answers

Answer:

Step-by-step explanation:

Hey, I'm sorry I can't help but just know that it's going to be okay, school is also stressing me out. I'm so proud of you for staying alive. Have an amazing day :D

Answer:

21 3/8, 21 3/40, 21, -3/8,-21/40

Pl help it’s for a grade I will give you Brainly if right

Answers

15ℎ2+26ℎ−21

yes yes yes yes

0.8 = 0.5x

Solve for x

Please show steps thanks so much

Answers

If I’m not mistaken, to solve for x you have to get it by itself so you need to divide 0.5 from both sides:

0.8/ 0.5 = 0.5x/ 0.5

Cross out the 0.5’s on the right because they cancel out and you will end up with:

0.8/ 0.5 = x

All you have to do then is divide 0.8 by 0.5 and you get:

1.6 = x

You get a $400 base salary for your job selling toasters. You also get a 2% commission on all your sales . If you had $390 in sales , what is your take home pay ?

Answers

Answer:

$17,800 ?

Step-by-step explanation:

Part A- solve for x
Part B- solve for y
Part C- find the perimeter
(photo included)

Answers

Part A: x=3
Part B: y=3

Solve the equation 3x^2+x-5=0

Answers

Answer:

Step-by-step explanation:

Use the quadratic equation, with a = 3, b = 1 and c = -5

Discriminant b^2 - 4ac is 1 - 4(3)(-5) = 61

Because the discriminant is + there are two real, unequal roots:

     

      -1 ± √61

x = ---------------

            6

What is the answer plz help

Answers

so the formula is V= 4/3 times pi times radius ^3 so you write in calculator 4 divided by 3 times 3.14 times 11^3 which is 5575.28 but you half it cause it’s a hemisphere so it becomes 2787.28 to the nearest tenth it is 30 inches.

Find the value of x.

Answers

5x+5= 35

35-5= 30

5x=30

30/5= 6

X=6

I think it is an acute triangle

Not positive on the type of triangle

. Center at (-4,-1), radius = 2​

Answers

Consider we need to find the equation of the circle.

Given:

The Center at (-4,-1), radius = 2​.

To find:

The equation of the circle.

Solution:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting h=-4, k=-1 and r=2, we get

[tex](x-(-4))^2+(y-(-1))^2=(2)^2[/tex]

[tex](x+4)^2+(y+1)^2=4[/tex]

Therefore, the equation of the circle is [tex](x+4)^2+(y+1)^2=4[/tex].

select all that are equal to 5³x 5⁻⁷

Answers

Answer:

The third and fifth are correct

The second one is NOT correct

answer : the second and third ones are correct.

explanation for the second one : they don’t accept negative exponent answers. by putting a “1” on top, it just means that you’re simplifying the problem and you’re just taking the 5^-4 and making it positive

explanation for the third one : it’s just the answer to 5^3•5^-7 but not simplified yet

6.) In the recent presidential election, Ohio had 20 electoral votes. This is 14 votes less
than Texas had. How many electoral votes did Texas have?

Answers

Answer:

Texas had 34 electoral votes

Step-by-step explanation:

Ohio had 20 electoral votes in the recent presidential election.

Those 20 votes are 14 votes less than Texas had.

This means Texas had 14 votes more than Ohio, that is:

Votes of Texas = 20 + 14 = 34

Texas had 34 electoral votes

what degrees did Rosa Parks earn?
Plzzz help

Answers

Answer:

she Earned freedom and justice

Mrs. Parks received more than forty-three honorary doctorate degrees, including one from SOKA UNIVERSITY, Tokyo Japan, hundreds of plaques, certificates, citations, awards and keys to many cities. Among them are the NAACP's Spingarn Medal, the UAW's Social Justice Award, the Martin Luther King, Jr.

Billy charges $15 to mow yard.He needs at least $200 for the new bycicle that he wants.

Answers

Answer:

billy has to mow at least 14 yards

Step-by-step explanation:

200 divided by 15 = about 14

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