write 2.5 repeating as a mixed number in simplest form.

Answers

Answer 1

Answer:

2 5/9

Step-by-step explanation:

2.5 repeating is 2 5/9 as a fraction (mixed number) or 23/9 (fraction)

Answer 2

The repeating decimal 2.5 can be written as the mixed number 2 5/9 in simplest form.

Here, we have,

To convert the repeating decimal 2.5 to a mixed number in simplest form, we can follow these steps:

Step 1:

Let's assume x = 2.5

Step 2:

Multiply both sides of the equation by 10 to shift the decimal point one place to the right: 10x = 25.5

Step 3:

Subtract the original equation from the one obtained in Step 2 to eliminate the repeating part:

10x - x = 25.5- 2.5

9x = 23 (since the repeating part subtracts to zero).

Step 4: Solve for x by dividing both sides by 9:

x = 23 / 9.

Step 5: Express the fraction 23/9 as a mixed number:

23 ÷ 9 = 2 remainder 5.

Therefore, x = 2 remainder 5/9.

so, we get,

Thus, the repeating decimal 2.5 can be written as the mixed number 2 5/9 in simplest form.

To learn more on number click:

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Related Questions

If you were a member of water supply OR flood emergency department and you had foreseen a situation where a river near your city would cause flooding in the monsoon season. What would be your plan of action to save the city from flooding?

plz guys answer this

Answers

Answer:

I would first tell people to evacuate

helppppppppppppppppppp

Answers

Answer to the question is -4

Answer:

x = -4

Step-by-step explanation:

-x+7 = -6x-13

Add 6x to each side

-x+7+6x = -6x-13+6x

5x+7 = -13

Subtract 7 from each side

5x+7-7=-13-7

5x = -20

Divide by 5

5x/5 = -20/5

x = -4

1200p x 1920p width of 12 inches

Answers

Answer:

nice TV

Step-by-step explanation:

Write the equation of the line that passes through the points (-3,6) and (4,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answers

Answer:

y = -5/7x + 27/7

Step-by-step explanation:

y2 - y1 / x2 - x1

1 - 6 / 4 - (-3)

-5 / 7

= -5/7

y = -5/7x + b

1 = -5/7(4) + b

1 = -20/7 + b

27/7 = b

mike sold half of his comic books and then bought 9 more. he now has 14. how many did he begin with?

Answers

14-9=5
5 is half of what he originally had so
5+5=10
He had 10 comic books at first

Indicate the answer choice that best completes the statem
Write each equa ton in standard form. Identify A, B, and c
y=3/8x+5

Answers

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina

Step-by-step explanation:

Someone help me with ASAP plz f(x) = x2 - 4x

Answers

Answer:

whats the choices?

Step-by-step explanation:

f(x)=ax+b,f(3)=3 and f(2)=1 find the value of a and b​

Answers

Answer:

a=2, b=-3

Step-by-step explanation:

f(x) = ax+b

f(3)=3, 3a+b=3

f(2)=1, 2a+b=1

Solving these two equations, we get a=2, b=-3

Find the surface area of this cube in cm²? 25 mm​

Answers

The answer is 2.2cm squared. But if I were to go ahead and do 2.2x2.2 it would be 4.84

simplify (a+1/a)^2-(a-1/a)^2​

Answers

Answer: 4/a

Explanation:
(a+1/a)^2 - (a-1/a)^2
= (a^2 + 2a + 1)/a^2 - (a^2 - 2a + 1)/a^2
= (a^2 + 2a + 1 - a^2 + 2a - 1)/a^2
= 4a/a^2
= 4/a

simplify (-3)(-3)(-3)​

Answers

Answer:

-27

Step-by-step explanation:

-3 x -3=9

9 x -3= -27

Answer:

-27

Step-by-step explanation:

Enter an inequality that represents the graph in the box.

Answers

Answer:

It will be -8≤×≤8

If the first term of an A.P is equal to one half of the common difference d, find the eight term of the A. P.

Answers

Step-by-step explanation:

The formula for Arithmatic Series is

[tex]a_n=a_1+(n-1)d[/tex]

where a_1 and a_n are the first and n-th term of the series respectively,

d is the common difference of the series.

Now,

The eigth term is given by,

[tex]a_8=(\frac{d}2)+(8-1)d=\frac{15}{2}d[/tex]

solve for x
4xy+3x+2=12
show all the steps

Answers

4xy+3x+2=12
Subtract 2 to both sides (like terms)
4xy+3x=10
This is the farthest you can go, there are no like terms

The scale from the drawing to the actual ramp is 2cm to 12in. What is the area of the actual side of the ramp?

Answers

The scale is 2 cm to 12 in so the actual length of the shorter side is 12 in, and the actual side of the longer side is (8/2)×12=48 in. So, the actual area of the ramp is (1/2)×12×48=288 Sq. in.

Scale used to convert the dimensions from drawing to actual is,

2 cm : 12 in

Height of the ramp in a skateboard park = 2 cm

Therefore, actual height 'x' of the ramp will be,

[tex]\frac{2}{12}=\frac{2}{x}[/tex]

x = 12 inches

Since, measure of the base of the ramp = 8 cm

Length of the base 'y' of the actual ramp will be,

[tex]\frac{2}{12}=\frac{8}{y}[/tex]

y = [tex]\frac{8\times 12}{2}[/tex]

y = 48 inches

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                             = [tex]\frac{1}{2}(48)(2)[/tex]

                             = 48 square inches

Learn more,

https://brainly.com/question/410946

Consider the function f(x) = tan 1/3 (x + pi/1) - 1
Help With All PleAsE

Answers

Answer:

8. ☐ A Up

☑ B Down 1

☑ C Left [tex]\displaystyle \frac{\pi}{2}[/tex]

☐ D Right

7. [tex]\displaystyle 3\pi[/tex]

6. ☑ A x = −2π

☐ B x = −π

☐ C x = [tex]\displaystyle \frac{\pi}{2}[/tex]

☑ D x = π

5. [tex]\displaystyle y = -1[/tex]

Explanation:

[tex]\displaystyle y = Atan(Bx - C) + D \\ \\ \boxed{y = tan\:(\frac{1}{3}x + \frac{\pi}{6}) - 1} \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{6}}{\frac{1}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{3\pi} \hookrightarrow \frac{\pi}{\frac{1}{3}} \\ Amplitude \hookrightarrow N/A[/tex]

Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Second, to find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, on a universal scale of [tex]\displaystyle \frac{\pi}{4}[/tex] with a range of [tex]\displaystyle -2\pi\:to\:2\pi,[/tex] the vertical asymptotes are [tex]\displaystyle -2\pi = x\:and\:\pi = x.[/tex] From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{3\pi} = \pi + 2\pi.[/tex] So, the period of this function is [tex]\displaystyle 3\pi.[/tex] Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = -1.[/tex]

Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.

I am delighted to assist you at any time.

What is the slope of the line represented by the equation y = -1/2x+ 1/4​

Answers

Answer:

y = mx+ b

m=slope

-1/2

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slopeb = y-intercept

By comparing the formula to the equation given, it is clear the slope of the line is -1/2.

. A fraction becomes 4 if one is added to both numerator and the denominator If 5 is subtracted from 5
both the numerator and the denominator the fraction becomes 1⁄2, find the fraction.

Class 10 cbse maths

Answers

the answer is 7/9. ...........

50 points + geometry
No one is helping me :(

BC bisects LABD.

Answers

Step-by-step explanation:

a. 4x = 3x+3

4x-3x=3

x = 3

b. L ABC = 3x+3= 3(3)+3= 12°

c. L CBD = 4x = 4(3) = 12°

d. L ABD = 12+12 = 24°

HELPPGPPGPFPPDPSPPSS MEEEEK

Answers

Answer:

jsjwbsihdn3oiansjsos

6-y6 I hope that helps

A number of students are evenly spaced around the circle. The fourth student is directly opposite the tenth student. How many students are there altogether?

Answers

Answer:

12 students

Step-by-step explanation:

Between the fourth and tenth there are:

9 - 4 = 5 students

The total number is:

2 + 5*2 = 12 students

Find the least common multiple (LCM) of 6 and 10,
O A. 60
O B. 20
O C. 40
O D. 30

Answers

The answer is 30 I’m sure of it

Please help me with my homework!!!!!!

Answers

Answer:

Step-by-step explanation:

Given that x = 3 and y = 2 we can figure these out

3x = 3x3 = 9

5y = 5 x 2 = 10

9+10=19

X times y - 1

3x2-1=5

X*+y* =

3x3+2x2 = 13

2x3*-2 =

2x3x3 - 2 = 16

-5x3+9

= -6

2x2-3+5+3*-3x2 =

9

2x² - 5x+1 has roots alpha and beta. Find alpha²+beta².
Please answer fast. I will mark the best answer as brainliest. ​

Answers

Answer:

[tex]\dfrac{21}{4}[/tex]

Hello,

Step-by-step explanation:

[tex]2x^2-5x+1=2(x^2-\frac{5}{2}+\frac{1}{2} )\\\\\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\frac{1}{2} \\\\(\alpha+\beta)^2=\alpha^2+\beta^2+2\alpha*\beta\\\\\alpha^2+\beta^2\\\\=(\alpha+\beta)^2-2\alpha*\beta\\\\\\=(\dfrac{5}{2} )^2-1\\\\=\dfrac{21}{4} \\[/tex]

Which is the graph of the equation y- 1= 5(x-3)?

Answers

Answer:

linked below

Step-by-step explanation:

If you use desmos, it show this which is the correct graph :)

If V(r)=4/3pir³, find V(3/4)

Answers

Answer:

Step-by-step explanation:

r = 3/4

[tex]V(r) =\dfrac{4}{3}\pir^{3}\\\\V(\dfrac{3}{4})=\dfrac{4}{3}*\pi \dfrac{3}{4}*\dfrac{3}{4}*\dfrac{3}{4}\\\\=\dfrac{3*3}{4*4}\pi \\\\=\dfrac{9}{16}*3.14\\\\=1.77[/tex]

14>6>2 true or false

Answers

Answer:

I think this is if it is right then help me plz this is false ..

50 POINTS HELP WILL MARK BRAINLIEST

find the value of x.
(picture attached)

Answers

You would do 180- 96-49 to give you x which means that x= 35
The reason that you are using 180 is because when you add up all the angles of a triangle it equals 180

MATH this is integers please help.
I'm giving brainly to CORRECT ANSWERS

Answers

Answer:

As you move left on a number line, numbers decrease in value.

Step-by-step explanation:

The more negative the more the value is decreasing

Mary Lindey wants to purchase pumpkins. She finds different markets advertising pumpkins for sale. What market has the lowest price per pumpkin . 3 for 10.59 , 3.75 per pumpkin , 2 for 7.20

*7th grade*

Answers

Work out the price per pumpkin:
Shop 1
3p=10.59
p= 3.53

Shop 2
p= 3.75

Shop 3
2p= 7.20
p= 3.60

Therefore the lowest price per pumpkin is 3 for 10.59
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