1.45 (5 repeated) as a fraction

Answers

Answer 1

let's firstly move the decimal point to the right, thus leaving the recurring part to the right, and then assign the recurring part at right to some variable, let's proceed.

[tex]1.4\overline{55555}\implies \cfrac{14.\overline{55555}}{10}\qquad \qquad \stackrel{\textit{now let's make}}{x = 0.\overline{55555}} \\\\\\ \stackrel{\textit{so then we can say}}{\cfrac{14.\overline{55555}}{10}\implies \cfrac{14+0.\overline{55555}}{10}}\implies \cfrac{14+x}{10} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{so we can say that}~\hfill }{10x~~ =~~5.\overline{55555}}\implies 10x = 5+ 0.\overline{55555}\implies 10x = 5+x \\\\\\ 9x=5\implies x = \cfrac{5}{9}[/tex]

well, now let's plug that into our fraction

[tex]\cfrac{14+x}{10}\implies \cfrac{14+\frac{5}{9}}{10}\implies \cfrac{~~\frac{131}{9}~~}{10}\implies \blacktriangleright\cfrac{131}{90}\implies 1\frac{41}{90} \blacktriangleleft[/tex]


Related Questions

Riddle me this: You're always right, what is your sine?

Answer: #1

What does that even mean??

Answers

Step-by-step explanation:

"You're always right" means that you're a right angle (90°) and [tex]\sin{90°} = 1.[/tex]

Answer of the riddle is 1.

What is right angle?

A right angle is an angle that is exactly equal to 90 degrees (or π/2) in measure.

What is the value of Sine 90 degree?

The exact value of sine 90 degree.

What is sine of an angle?

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

According to the given question

We have a riddle " You're always right, what is your sine?".

So, you're always right means you are always at 90 degrees.

What is your sine means, what is sin 90 degrees.

And we know that

[tex]sin90=1[/tex]  

Hence, the answer of the riddle is 1.

Find out more information about sine of an angle here:

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Kate is competing in a 200 m race.
She runs at a constant speed of 4.8 m/s for the first 50 m, then 3.8 m/s for 20 seconds.
The remainder of the race takes her 22 seconds to complete.
What is Kate's average speed for the entire race to 1 dp?

Answers

Answer:

3.816 m/s

Step-by-step explanation:

Answer:

3.816 m/s

Step-by-step explanation:

In pic

(Hope this helps can I pls have brainlist (crown)☺️)

Question 10 of 10
Which of the following is the solution to the inequality below?
-2/6(4-x)<4(x+1/2

Answers

Answer:

x > -11/10

Step-by-step explanation:

-2/6(4-x) < 4(x+1/2)

-1/3(4-x) < 4x + 2

-4/3 + 1/3x < 4x + 2

-4 +x < 12x + 6

x - 12 x < 6 + 4

-11x < 10

x > -11/10

From first principles, find the indicated derivatives​

Answers

By definition of the derivative,

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{(s + h)^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{s^3+3s^2h+3sh^2+h^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\frac{3s^2h+3sh^2+h^3}2}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 \frac{3s^2h+3sh^2+h^3}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 (3s^2+3sh+h^2)[/tex]

[tex]\displaystyle\frac{dr}{ds} = \frac{3s^2}2[/tex]

Can someone please help me?
7x7x7x7

Answers

Answer:

2401

Step-by-step explanation:

use a calculator and this can also be written as 7^4

Answer:

2401

Figure out 7x7 then just multiply the answer by 2.

PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!!

Answers

Answer:

In point form, the answer is (1, -7) and in equation form, x = 1, y = -7.

Step-by-step explanation:

I hope this helps!

There is a line that includes the point(10, 5)and has a slope of 1 What
is its equation in slope-intercept form?So far I have y=1x+what's the y?

Answers

Answer:

y = x - 5

Step-by-step explanation:

Given the point, (10, 5), and the slope, m = 1:

Substitute these values into the slope-intercept form to solve for the y-intercept, b:

y = mx + b

5 = 1(10) + b

5 = 10 + b

Subtract 10 from both sides to isolate b:

5 - 10 = 10 - 10 + b

-5 = b

The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).  

Therefore, given the slope, m = 1, and the y-intercept, b = -5:

The equation of the line in slope-intercept form is:  y = x - 5.

Order from greatest to least. 5.249; 5.43; 5.340; 5.209

Answers

Answer:

5.43 > 5.340 > 5.249 > 5.209

Step-by-step explanation:

Answer:

5.43, 5.340,  5.249, 5.209,

Step-by-step explanation:

im in high school this is very easy for me.          its right

The more numbers the more exact it is. Just because it has more numbers doesn’t mean it’s bigger. all decimals have infinite zeros after it. So if you have two twos after a decimal you have to go to the next number and see which one is less.

A bike take 56 minutes to travel 8 km? How many minutes will take to travel 15?​

Answers

105 minutes
or 1 hour and 45 minutes

Answer:

1 hour 45 mins

Step-by-step explanation:

56÷8=7

7x15=105mins

105mins=1hr 45mins

What will it cost to carpet a rectangular floor measuring 21 feet by 9 feet if the carpet costs $31. 29 per square yard?

Answers

Answer:

$657.09

Step-by-step explanation:

The area of the carpet is:

21 × 9 = 189 Square foot

189 foot² = 21 yard²

We know 1 yard² = $31.29

So 21 yard² = 21 × $31.29 = $657.09

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Answers

Answer:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

I WILL MARK BRAINLIEST, PLEASE HURRY
Suppose radius CA is 12 meters long. What is the diameter of the circle?

Answers

Answer:

24 meters

Step-by-step explanation:

a radius is half the diameter of the circle. hence, the diameter is 24 meters.

An employee earns $480 per week. They are entitled to 4% vacation pay. How much vacation pay should they receive per week?

Answers

Answer:

480 * 0.04 = 19.2

$19.20

These triangles
are congruent by
the triangle
congruence
postulate [? ].
A. ASA
B. Neither, they are not congruent
C. AAS

Answers

Since in the two triangles,

2 angles and the side between them is given and equal, the triangles are congruent using the Criteria ASA.

Option A is the correct answer.

x=4y-7
2x+9y=-31
What be the answer

Answers

Answer:

x=-11

y=-1

Step-by-step explanation:

x=4y-7

2x+9y=-31

2(4y-7)+9y=-31

8y-14+9y=-31

17=-31+14

17y=-17

y=-1

x=4(-1)-7

x=-11

Answer:

x = -11, y = -1

Step-by-step explanation:

solving simultaneously,

2(4y-7) + 9y = -31

17y = 14 - 31

17y = -17

y = -1

back sub, we get:

x = 4(-1)-7

x = -11

so x = -11, y = -1

Give the coordinates and quadrant of Point Z.

Number graph ranging from negative ten to ten on the x and y axes. Point C is drawn at (negative four, five), point D is drawn at (negative nine, nine), point E is drawn at (five, zero), point I is drawn at (zero, nine), point J is drawn at (negative nine, zero), point L is drawn at (nine, negative nine), point P is drawn at (zero, negative nine), point X is drawn at (zero, five) and point Z is drawn at (nine, ten).


(9, 10) Quadrant II


(10, 9) Quadrant I


(9, 10) Quadrant I


(10, 9) Quadrant II

Answers

The coordinates and quadrant of Point Z is (9, 10) Quadrant I.

Which four quadrants of graph?

The X and Y axes divide the graph plane into four quadrants:

The first quarter is at the upper right corner of the plane. In this quadrant, the x and y coordinates are both positive. The second quadrant is situated in the top left corner of the plane. In this quadrant, the x-coordinate is negative while the y-coordinate is positive. The third quarter lies at the lower left-hand corner of the plane. In this quadrant, the x and y coordinates are both negative. The fourth quarter is at the lower right corner of the aircraft. In this quadrant, the x-coordinate is positive while the y-coordinate is negative.

Given:

Coordinates:

C( -4, 5), D(-9, 9), E(5, 0), I(0, 9), J(-9, 0), L(9, -9), P(0, -9), X(0, 5) and

Z(9, 10).

As, we know The upper right corner of the plane is where the first quarter is located. The x and y coordinates in this quadrant are both positive.

Hence, Z lies in Quadrant !.

Learn more about graph quadrant here:

https://brainly.com/question/12788228

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Arrange the following numbers in descending order: 50,101 501,100 51,150 500,101

Answers

Answer:

Step-by-step explanation:

Hope it helps,view the image:

Match the function to the graph.

Answers

Answer:

[tex]a) \ sin(x - \frac{\pi }{2})[/tex]

Step-by-step explanation:

You can does a horizontal shift to the [tex]sin[/tex] function.

[tex]f(x - c)[/tex] shift the graph [tex]c[/tex] units to the right[tex]f(x + c)[/tex] shift the graph [tex]c[/tex] units to the left

Beside we know that when [tex]sin(0) = -1[/tex] then the only option that produce the desire result is the [tex]a[/tex] option because

For f(x)= 1/x^2-3 substitute 3 for x in the function to solve for f(3)

Answers

Answer:

f(3) = 1/(3)^2-3

Step-by-step explanation:

To solve for when x=3, we simple replace x with 3

f(3) = 1/(3)^2-3

Find the Simple Linear Regression Formula of the data set shown below: (10pts)
Where the monthly e-commerce sales is Y and online advertising costs X.

Note: Round off your answers to two decimal places. No spaces in between characters.
Example format for the Final answer: y=36.11x+23.22

Answers

Uisng technology, such as a linear regression calculator or excel , the linear equation in slope - intercept format which models the data is 171.47x - 125.83

The relationship between advertising cost and e-commerce sales is positive which can be inferred from the positive value of the slope which models the data. Also, since, the correlation Coefficient is high, we can expect to have a high e-commerce sales whenever, the advertising cost is high.

Therefore, the linear regression equation is 171.47x - 125.83

Learn more : https://brainly.com/question/18405415

can anyone help with this equation?
Simplify the expression √((8x^5 y^2)/z^3 ).

Answers

[tex]\sqrt{\dfrac{8x^5 y^2}{z^3}}\\\\\\=\dfrac{\sqrt{8x^5 y^2}}{\sqrt{z^3}}\\\\\\=\dfrac{\left( y\sqrt{8}\right) \sqrt{x^5}}{\sqrt{z^2 \cdot z}}\\\\\\=\dfrac{\left(y\sqrt{4\cdot 2} \right) \sqrt{x^2 \cdot x^2 \cdot x}}{z\sqrt z}\\\\\\=\dfrac{\left(2\sqrt 2 \right) y x^2\sqrt{x}}{z\sqrt z}\\[/tex]

If an apple and 3 bananas cost $2.50, but 2 apples and 5 bananas cost $4.50, then how many dollars do 3 apples and 6 bananas cost?

Answers

Answer:

See below:

Step-by-step explanation:

So we know that an apple and 3 bannans are dollar 2.50

We also know that 2 apples and 5 bannanas are dollar 4.50.

Therefore, if we subtract 2 apples and 5 bannanas from 1 apple and 3 bannanas we will get a price.

Therefore, 1 apple and 2 bannanas are 2 dollars. (4.50 - 2.50 = 2)

Now, we can multiply by 3 to get it for 3 apples and 6 bannanas.

3*1 + 3*2 = 2*3

3a + 6b = 6 dollars.

The cost of 3 apples and 6 bananas is $7 and this can be determined by forming the linear equation in two variables.

Given :

An apple and 3 bananas cost $2.50.2 apples and 5 bananas cost $4.50.

Let the cost of one apple be 'x' and the cost of one banana be 'y'. Then the cost of an apple and 3 bananas is given by the equation:

x + 3y = 2.5 --- (1)

The cost of 2 apples and 5 bananas is given by the equation:

2x + 5y = 4.5  ---- (2)

Now, solve the equation (1) for 'x'.

x = 2.5 - 3y  --- (3)

Now, put the value of 'x' in equation (2).

2(2.5 - 3y) + 3y = 4.5

5 - 6y + 3y = 4.5

0.5 = 3y

[tex]y = \dfrac{1}{6}[/tex]

Now, put the value of 'y' in the equation (3).

[tex]\rm x = 2.5-3\times \dfrac{1}{6}[/tex]

x = 2

Now, the cost of 3 apples and 6 bananas will be:

[tex]3 \times 2 + 6 \times \dfrac{1}{6} = 7[/tex]

So, the cost of 3 apples and 6 bananas is $7.

For more information, refer to the link given below:

https://brainly.com/question/13911928

1 + 1 = 22

Explain why it equals 22.

Answers

It does not equal 22? It equals 2 because 1+1 is 2, basic math.

express 1 000 000 in standard form

Answers

Answer:

10^6.

Step-by-step explanation:

There are 6 digits after the 1 so it's 1 * 10^6 or just 10^6.

Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins, corn, beans, and potatoes. His plan for the field layout in feet is shown in the figure below. Use the figure and your knowledge of polynomials, perimeter, and area to solve the following:



For your initial response, answer the two questions below:

1. The farmer needs to spread hay under all the squash plants. Write an expression, using x, that represents the amount of the area of the field just for the squash.

2. The farmer needs a small fence for just around the potato patch. Write an expression, using x, that represents the perimeter of the part of the field just for potatoes. (simplify)

3. Challenge question! Write an expression, using x, that represents the perimeter of the entire garden, should the farmer want a bigger fence. (simplify)

Be sure to explain/show your work on how you determined your answers. Feel free to upload a picture of work or a video explanation to the discussion board.

Answers

Answer:

                                                                  1.

The farmer needs to spread hay under all the squash plants. Write an expression, using x, that represents the amount of the area of the field just for the squash.

                                     solution

area of rectangle is L x W,

let L =4x and and W = x

therefore Area (A) = 4x(x)  = 4x2

                                                               2

The farmer needs a small fence for just around the potato patch. Write an expression, using x, that represents the perimeter of the part of the field just for potatoes. (simplify)

                                     solution

parameter(P) = 2( L + W )

let L=x2 - 7x +12 and W = x +6

therefore  

P = 2(x2 -7x +12 + x + 6)

 = 2( x2 -6x + 18)

P  = 2x2 -12x +36

                                                       3.

Challenge question! Write an expression, using x, that represents the perimeter of the entire garden, should the farmer want a bigger fence. (simplify)

                                                          solution

P= L1+L2+W1+W2

when

L1 = x + 6x +xy -1 = 7x +xy -1

L = 5x + 2 + x2 - 9 +x2 -7x + 12 = 2x2 5x + 2

w1 4x + 5x -2

w2 = xy + x 7

p = 7x +xy -1 + 2x2 5x + 2 + 4x + 5x -2 + xy + x 7

p = 2xy + 2x2  +16x +9

Step-by-step explanation:

Evaluate. 10/1·(−4) Enter your answer in the box.

I’ll give brainliest if its correct on the test! (And if i can figure out how)

Answers

Step-by-step explanation:

10/1(-4)

10(-4)

=-2.5 or 5/-2

Cheryl is planning to spend $75 on a Christmas gift for her father. He needs new socks and ties. A store has socks s and ties t on sale for $4 and $11, respectively. Which equation models this situation?

Answers

Answer:

4s + 11t = 75

Step-by-step explanation:

Assuming you are asking for an equation to find how many socks and ties Cheryl could get with $75, then the equation 4s + 11t = 75 would represent that.

s is the number of socks that are bought (assuming s = 1 means that 1 pair of socks is bought).

t is the number of ties that are bought.

4s represents the total cost of the socks that are bought (if you plug in 4 for s, then the total cost of the socks is 4(4) = 16+

11t represents the total cost of the ties that are bought

If p - 5q = 4qr,
p
find the value of p when
q = 4 and r = -1.

Answers

Answer:

p - 5q = 4qr where

q = 4 and r = -1 by applying these value

p - 5(4) = 4(4)(-1)

p - 20 = -16

p = -16 + 20

p = 4

72 boxes sold out of 90 boxes what percent sold

Answers

Answer:

80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

90 boxes = 100%

72 boxes = ?

=> (72 * 100)/ 90 = 80%

i'll mark brainliest thanks​

Answers

Answer:

Transitive

Step-by-step explanation:

I think it might be SSS maybe
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