If .111... = 1/x, what is x?
Correct answer will get brainliest

Answers

Answer 1

Answer:

x = 9

Step-by-step explanation:

When 1 is divided by 9, we understand it is a non-terminating decimal number because the denominator consists of other number other than 2 and 5.

Now, let's get into how to solve for x :

Divide both sides by .111... :

1/.111... x .111... = 1/.111 x 1/x

1 = 1/(x)(.111....)

Multiply both sides by x :

1(x) = (x)/(x)(.111...)

x = 1/.111...

x = 9 (nearest whole number)

Answer 2

Answer:

[tex]\sf 0.\dot{1}=\dfrac{1}{9}[/tex]

Therefore, x = 9

Step-by-step explanation:

To convert 0.11111... to a fraction:

Equation 1

Let:   y = 0.11111...

Equation 2

Multiply both sides by 10:

⇒ y · 10 = 0.11111... · 10

⇒ 10y = 1.11111...

Subtract Equation 1 from Equation 2 to eliminate the recurring digits after the decimal:

⇒ 10y - y = 1.1111... - 0.11111...

⇒ 9y = 1

Divide both sides by 9

[tex]\implies \sf y=\dfrac{1}{9}[/tex]

Therefore,

[tex]\sf 0.\dot{1}=\dfrac{1}{9}[/tex]

So if:

[tex]\sf 0.\dot{1}=\dfrac{1}{x}[/tex]

Then x = 9


Related Questions

what is the slope of the line graphed below?

Answers

Answer:

5

Step-by-step explanation:

the gradient is 5

change in Y over change in X

Please help it’s easy, State the property that is used. 10=10•1

Answers

The property identity of multiplication is applied in the given statement.

Properties of Multiplication

The properties of multiplication are:

Distributive:  a(b±c)=  ab±acComutative:   a . b = b. aAssociative:    a(b+c)=  c(a+b)Identity: b.1=b

From the property identity, you know that the product between any number by the number 1 equals that number. Example: 3 1=3.

The question shows 10=10•1. Like, it was shown previously, this occurs due to the identity property of multiplication.

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a letter is chosen from the nine letters in the word "bumblebee." what is the probability the letter is a b or an e?

statistics and probability

Answers

Answer:

2/3

Step-by-step explanation:

Probability (b or e) :

⇒ There are 3 b's and 3 e's in the word "bumblebee"

⇒ P (b or e) = No. of b's and e's / Total letters

⇒ P (b or e) = 3 + 3 / 9

⇒ P (b or e) = 6/9

⇒ P (b or e) = 2/3

find the values of y
y² =225

Answers

Answer: y = 15

Step-by-Step Explanation:

=> y^2 = 225

Therefore,
y = √225
=> y = 15

Hence, y = 15

Can someone give me the steps to solving this?

Answers

Answer:

[tex]\tan \theta = \dfrac{8}{15}[/tex]

Step by step explanation:

[tex]\text{Given that,}\\\\~~~~~~~\sin \theta = \dfrac{8}{17}\\\\\implies \sin^2 \theta = \dfrac{64}{289}\\\\\implies 1-\cos^2 \theta = \dfrac{64}{289}\\\\\implies \cos^2 \theta = 1-\dfrac{64}{289}\\\\\implies \cos^2 \theta = \dfrac{225}{289}\\\\\implies \cos \theta =\pm\sqrt{\dfrac{225}{289}}\\\\\implies \cos \theta = \pm\dfrac{15}{17}[/tex]

[tex]\text{In quadrant I, all ratios are positive, so,}~ \cos \theta = \dfrac{15}{17}\\\\\text{Now,}\\\\\tan \theta = \dfrac{\sin \theta }{\cos \theta}\\\\\\~~~~~~~~=\dfrac{\tfrac{8}{17}}{\tfrac{15}{17}}\\\\\\~~~~~~~~=\dfrac{8}{17} \times \dfrac{17}{15}\\\\\\~~~~~~~=\dfrac{8}{15}[/tex]

A jewelry store has 88 rings to display they arrange the rings in a even rose how many rings are in each row

Answers

Answer:

2,4,8,11,22, or 44

Step-by-step explanation:

To figure out how many rings would be in each full row with no leftovers, we need to find all the factors of 88 (outside of 1 and 8) which are 2,4,8,11,22, and 44. Since the question does not give any more information on how big the rows need to be, I can't narrow this down any further, however if I had to choose I would say rows of 8 by 11 would be the best.

Hope this helps! :)

A bag contains 42 red, 45 green, 20 yellow, and 32 pirple candies. You pick one camdy at random. Find the probability that it is green.

Answers

Answer:

[tex]\text{P(green)} =\frac{45}{139}[/tex]

Step-by-step explanation:

The total number of candies is :

= 42+45+20+32

= 139

Then

we have 45 green out of 139 candies.

Then

[tex]\text{P(green)} =\frac{45}{139}[/tex]

Note : 45/139 is already simplified.

Sean operates a lawn-cutting business. He charges $15 for a single lawn and $25 for a front and back lawn. Sean made $475 from 25 customers.

Write a system of equations

Answers

The system of equations that models the given situation is given as follows:

x + y = 25.15x + 25y = 475.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Variable x: Number of single lawns cut.Variable y: Number of front and back lawns cut.

He had 25 customers, hence:

x + y = 25.

He charges $15 for a single lawn and $25 for a front and back lawn, and made a total of $475, hence:

15x + 25y = 475

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In 2005, there were 12,000 students at Beachon High. In 2010, there were 12,250. What is the rate of change un the number of students

Answers

The rate of change of the number of students was 50

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

so in this case we have the provided ones (2005 , 12000) and (2010 , 12250)

[tex](\stackrel{x_1}{2005}~,~\stackrel{y_1}{12000})\qquad (\stackrel{x_2}{2010}~,~\stackrel{y_2}{12250}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{12250}-\stackrel{y1}{12000}}}{\underset{run} {\underset{x_2}{2010}-\underset{x_1}{2005}}} \implies \cfrac{12250 -12000}{2010 -2005}\implies \cfrac{250}{5}\implies \underset{\textit{rate of change}}{50}[/tex]


Which of the following equations describes the graph?
y=-x^2+1

Answers

Y = -x^2 -1

This is because the parabola goes down which means a is negative and the y intercept is -1 which means the c in the equation is -1

An equation that describes the graph is [tex]y=-x^{2} +1[/tex]

What is an equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

What is parabola?

"It is a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. "

For given question,

The graph describes the parabola.

The parabola opens downward, so the equation of the parabola would be,

[tex]y=-x^{2}[/tex]

We know that, for a function f(x) is transformed to f(x) + c if c > 0 then the graph of the function moves up by c units.

if c < 0 then the graph of the function moves down by c units.

As the graph of the parabola moves down by 1 unit, the equation of the parabola would be,

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

Therefore, the equation that describes the graph is [tex]y=-x^{2} +1[/tex]

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x⁶y⁴/xy²
how would I simplify?
Answer choices:
A: x⁵y²
B:x⁶y²
C:x²y⁵
D:(xy)⁷​

Answers

Step-by-step explanation:

please mark me as brainlest

Simplify the expression: 4+(11-3)²

Answers

Answer:

68

Step-by-step explanation:

[tex]4+\left(11-3\right)^2\\(11-3)=8\\=4+8^2\\=4+64\\=68[/tex]

It is 68 because in PEMDAS, you solve parentheses first, so 11-3 is 8, then you solve exponents so 8 to the second is 64, then add 64 and 4 to get 68

You are packing for a road trip and you buy snack packages (same size, same weight) for the trip. you buy 6 potato chips, 5 doritos, and 3 corn curls. you put them in a bag and mix them up. during the trip, you reach into the bag and pull out two packages at random, one at a time. draw a tree and calculate the probability of each outcome. use p for potato chips, d for doritos, and c for corn curls. what is the probability of picking two snacks of the same type?

Answers

The probability of picking two snacks of the same type is 0.308.

How to calculate the probability?

The probability of picking 2 potato will be:

= 6/14 × 5/13

= 0.429 × 0.385

= 0.165

The probability of picking 2 doritos will be:

= 5/14 × 4/13

= 0.357 × 0.308

= 0.110

The probability of picking 2 corn curls will be:

= 3/14 × 2/13

= 0.214 × 0.154

= 0.033

Therefore, the probability of picking two snacks of the same type will be:

= 0.165 + 0.110 + 0.033

= 0.308

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write the slope-intercept form of the equation of a line passing through the following two points: (-3, 7) & (6, -5)

Answers

Answer:  [tex]y = -\dfrac{4}{3} x +3[/tex]

In order to find equation, first find slope:

[tex]\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1} \quad where \ (x_1, y_1) , \ (x_2, y_2) \ are \ points[/tex]

Given points: (-3, 7) and (6, -5)

[tex]\rightarrow \sf slope : \dfrac{-5-7}{6-(-3)} =-\dfrac{4}{3}[/tex]

Equation:

[tex]\sf y- y_1 = m(x - x_1)[/tex]

insert values

[tex]\rightarrow \sf y - 7 = -\dfrac{4}{3} (x -(-3))[/tex]

[tex]\rightarrow \sf y = -\dfrac{4}{3} x - 4 +7[/tex]

[tex]\rightarrow \sf y = -\dfrac{4}{3} x +3[/tex]

When θ = 0, cos θ = 1. What is the next radian value that will result in cos θ = 1?

Answers

The only place where cos = 1 is at the coordinate point (1,0) on the unit circle (when theta=0). So, if you revolve around the unit circle once more from theta=0, you get that theta =2pi since the circumference of the unit circle in radians is 2pi.

Question 2 of 40
How much more will $16,500 earn in interest than $15,000 if both are
invested in savings accounts with APYS of 4.1% for a year?
OA. $61.50
OB. $156.15
OC. $52.05
OD. $20.50

Please do step by step as to how you got the answer

Answers

Answer:

A

Step-by-step explanation:

We are asked to find the amount of interest earned on $16,500 than $15,000 with APYs of 4.1% for a year.

We will use simple interest formula to solve our given problem.

I= prt

i= amount of interest

p=principal amount

r= interest rate in decimal form

t= time in years

4.1%=  41/100= 0.041

$16,500 times 0.041 -  $15,000 times 0.041

(16,500- 15,000) times 0.041

(1,500) times 0.041

So the answer is $61.50

I hope this is right, have a nice day.

Marquis is starting a fast food job during his senior year of high school. he lives with his parents and they will claim him as a dependent on their taxes this year. he earns $2000. based on how he completed his w-4, his employer withheld $200 in federal income taxes from his paychecks. what will happen if marquis doesn't file taxes in april?
*
nothing will happen, but marquis will miss out on his potential refund.
the irs will refund his $200 directly to him.
the irs will refund his $200 to his parents.
the irs will fine marquis $75 or more for not filing taxes.

Answers

What will happen if marquis doesn't file taxes in April is that; nothing will happen, but marquis will miss out on his potential refund.

What is the impact of withholding taxes?

Withholding in this regards by his employers simply means how much is being taken out of your paycheck in taxes.

Now, withholding tax is basically an advance payment of income tax which may be used to offset or reduce tax liabilities. In this case, since the employer has withheld $200 in federal income taxes from his paychecks, what it means is that if he doesn't file taxes in April, nothing will happen, but he will miss out on his potential refund.

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Members of a soccer team raised $1511 to go to a tournament. They rented a bus for $933.50 and budgeted $38.50 per player for meals. Determine the number of players the team can bring to the tournament.

hurry pls

Answers

Answer = 15 players

Total $ = ($per player)(x players) + set cost
$1511 = 38.50 X + 933.50

$1511 = 38.50x + 933.50

Solve for x
Subtract 933.50 from both sides to combine like terms
$577.50 = 38.50 x
Now divide both sides by 38.50 to isolate x
15 = x

The number of players in the team would be 15 which can bring to the tournament.

A soccer squad collected $1511 to attend a competition. They spent $933.50 on a bus rental and $38.50 for each player on food.

What is a numerical expression?

A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

Let the number of players would be x

As per the given information, the required solution would be as:

Total budget = (per player meal)(x players) + bus rent

1511 = 38.50x + 933.50

Rearrange the terms and solve for x

1511 - 933.50 = 38.50x

577.50 = 38.50 x

Divide both sides by 38.50 into above equation,

x = 15

Therefore, the number of players in the team would be 15 which can bring to the tournament.

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Please help me with this

Answers

Answer:

  65.9 ft

Step-by-step explanation:

The Law of Sines tells us the relationship between an angle and the opposite side. We are given the angle opposite the given side, but we need the angle opposite the side of interest.

__

third angle

The sum of angles in a triangle is 180°, so the measure of the angle at the balloon is ...

  angle C = 180° -75° -60° = 45°

ground distance

Then the distance between Amaya and Rochelle (c) is ...

  c/sin(C) = r/sin(R)

  c = r×sin(C)/sin(R) = (90 ft)×sin(45°)/sin(75°)

  c ≈ 65.8846

Amaya and Rochelle are about 65.9 feet apart.

If Q, DE=FG. Which must be true? Select all that apply.

Answers

Answer:

A and E

Step-by-step explanation:

A is already given by the basic fact that DE = FG. this makes the 2 lines automatically also congruent.

but this does not tell us anything about EF.

E and F could be very close together or far apart, and still DE = FG can be true in either case.

and that is why B, C and D could be true, but they are not in all cases true, and therefore these statements are in general false.

Solve 3x² + 4x = 2. (2 points)
O 2 ± √10
—————
6
O −2+2√10
——————-
3
O −2+√10
——————-
3
O
-4± √10
————
3

Answers

Answer:

Step-by-step explanation:

As it is a second order equation, it means that it has two possible answers and they are [tex]x_1[/tex] and [tex]x_2[/tex].

The famous quadratic formula for solving any second order equation is the following:

[tex]x_{1} = \frac{-b + \sqrt{b^2 - 4 ac}}{2a}\\x_{2}=\frac{-b - \sqrt{b^2 - 4 ac}}{2a}[/tex]

Where a is the coefficient of [tex]x^2[/tex], b is the coefficient of x, and c is the free term. In other words,

[tex]a = 3\\b=4\\c=-2[/tex]

as the equation should be in the following form:

[tex]a x^2 + bx+c = 0[/tex]

Therefore the possible answer should be the following,

[tex]\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}[/tex][tex]\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}[/tex]

by dividing the numerator and denominator by 2, we can deduce the following,

AYUDA !!!
hallar el m.c.d por descomposición canónica en cada caso
A) 52 Y 78
B) 56 Y 72
C) 84 Y 96

Answers

Answer:

B

Step-by-step explanation:

Always remember:beluga always love answer your question by following these steps:Follow belugaask meBrainliest me first oktake note please: everyone i answer question I got happy:)please don't delete Your question beacause Brainliest Marks & pointswill be lose

The perimeter of a rectangle is 50 inches. Its width
measures 11 inches. What is its length?
Let x = the length of the rectangle. Choose the equation that represents this
problem.
A. 2x + 22 = 50
B. 2x + 11 = 50
C. x + 11 = 50
D. 2x11 = 50 * don’t try and be funny I need help bad*

Answers

Answer:

50-20 or perimeter-2length

Step-by-step explanation:

15 inches is the width

A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16ft2. The hole has a diameter of 1 ft. What is the probability of hitting a ball into the circular hole? Express your answer as a percentage rounded to the nearest tenth.

Answers

Considering the area of the hole, it is found that there is a 4.9% probability of hitting a ball into the circular hole.

What is the area of a circle?

The area of a circle of radius r is given by:

[tex]A = \pi r^2[/tex]

In this problem, the hole has a diameter of 1 ft, hence it is radius is of r = 1 ft/2 = 0.5 ft, and it's area is given by:

[tex]A = \pi \times (0.5)^2 = 0.7854 \text{ft}^2[/tex]

Hence the probability is given by:

p = 0.7854/16 = 0.049 = 4.9%

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Help please i need this

Answers

Answer:

i can't see the question i would love to help though

Step-by-step explanation:

A regular pentagon and a regular hexagon are both inscribed in the circle below. Which shape has a bigger area? Explain your reasoning. 4​

Answers

Answer:

Pentagon

Step-by-step explanation:

Because as you can see, a regular pentagon is bigger than then the hexagon. If it's both in the circle below, the pentagon will most likely have an big advantage in this.

What is the area of the triangle below?

On a coordinate plane, a triangle has a base of 6 units and a height of 9 units.
27 square units
45 square units
54 square units
90 square units

Answers

Answer:

27 units

Step-by-step explanation:

6 (base) × 9 (height) = 54

54 × 1/2 = 27

27 square units is the answer

Solve question 11 for me please

Answers

Answer:

C

Step-by-step explanation:

-4x+2<6

-4x<4

x<-1

because the sign doesnt have a line under it, it is an open hole

If a many-to-many-to-many relationship is created when it is not appropriate to do so, the conversion to ____ normal form will correct the problem.

Answers

Answer:

Step-by-step explanation:

Is cos²α the same thing as cosα²?

Answers

Answer:

No, it is not the same thing.

Step-by-step explanation:

Hope this helps!

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