write 0.32 repeating as a fraction in simplest form.

Answers

Answer 1

Answer:

0.32 repeating as a fraction

= 32/99

Step-by-step explanation:

Answer 2

The fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.

To express the repeating decimal 0.32 repeating as a fraction in simplest form, we can use the concept of geometric series.

Let's represent 0.32 repeating as x:

x = 0.323232...

Multiply both sides of the equation by 100 to shift the decimal point two places to the right:

100x = 32.323232...

Now, subtract the original equation from the shifted equation to eliminate the repeating part:

100x - x = 32.323232... - 0.323232...

Simplifying the equation:

99x = 32

Divide both sides of the equation by 99 to solve for x:

x = 32/99

Therefore, the fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.

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Related Questions

if there are two containers of sugar solution, the first is 4% concentration and second is 8% concentration. how much of each should we combine to get 40 gallons of 5% concentrate solution​

Answers

Answer:

30 gallons solution 4% and 10 gallons solution 8%

Step-by-step explanation:

x•4%+y•8%=40•5%

4x+8y=40•5 and x+y=40

x=40-y

4(40-y)+8y=200

160-4y+8y=200

4y=200-160

4y=40 => y=10 (gallons solution 8%)

=> x=40-10=30 (gallons solution 4%)

30 gallons solution 4% and 10 gallons solution 8%

I need help on an assignment.

Answers

Answer:

i believe that answer would be D

Step-by-step explanation:

How many solutions does the system have?
5y = 152 – 40
y = 3r – 8

Answers

the system has one solution
there is one solution

|2x+9|>10=5 Please help ASAP

Answers

Simplifying

2x + 9 + -10 = -5

Reorder the terms:

9 + -10 + 2x = -5

Combine like terms: 9 + -10 = -1

-1 + 2x = -5

Solving

-1 + 2x = -5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + 2x = -5 + 1

Combine like terms: -1 + 1 = 0

0 + 2x = -5 + 1

2x = -5 + 1

Combine like terms: -5 + 1 = -4

2x = -4

Divide each side by '2'.

x = -2

Simplifying

x = -2

I hope it helps you

what are congruent triangles?​

Answers

Triangles that have all sides and angles the same length or degree.

Please give brainliest

Answer:

triangles that have the same size and shape.

help me please????????

Answers

Answer:

c

Step-by-step explanation:

Option c is correct. All points are equally spaced from the line x=1 as their images do. They are symmetric about the line x=1. For instance, point A and A' are both 3 units from the line x=1.

Option a and B are wrong as we cannot see and swapping of x and y coordinates to a point.

For option d, only point A is shifted 6 units to the left to A', but point B shifted 8 units to B'. Incorrect.

Write two equivalent expressions that represent the situation. What is the difference in their elevations?
An airplane flies at an altitude of 26,000 feet. A submarine dives to a depth of 700 feet below sea level.

Answers

The answer is 25000 hope this help you out!

NEED HELP ASAP will give BRAINLIEST :)

Answers

10a+4+14a-2=14a+31
Add the common variables
24a+4-2=14a+31
24a+2=14a+31
Subract 2 from each side
Subract 14a from each side
Then divide each side by 10
A=-2.9

A= -3.7

In Ellens Math class, there are 2 boys for every 3 girls. if there are 21 girls in the class, how many boys are in the classroom.

Answers

Answer:

14 boys

Step-by-step explanation:

Given,

There are 3 girls for every 2 boys

So,

For every 1 girl

[tex] = \frac{2}{3} \: boys [/tex]

Therefore,

For every 21 girls,

[tex] = \frac{2}{3} \times 21 \: boys[/tex]

= 14 boys (Ans)

solve the following equations 6÷x=18​

Answers

[tex]\boxed{\underline{\bf \: ANS WER}}[/tex]

[tex] \sf \frac{6}{x} = 18 \\ [/tex]

Variable x cannot be equal to 0 as division by zero is not defined. Multiply both sides of the equation by x.

[tex] \sf \: 6=18x [/tex]

Swap sides so that all variable terms are on the left-hand side.

[tex] \sf \: 18x=6 [/tex]

Divide both sides by 18.

[tex] \sf \: x=\frac{6}{18} \\ [/tex]

Reduce the fraction [tex] \sf\frac{6}{18}[/tex] to its lowest terms by extracting and cancelling out 6.

[tex] \sf \: x=\frac{1}{3} \\ [/tex]

[tex] \sf \: x=\frac{1}{3}\approx \boxed{\underline{0.33... }}\\ [/tex]

______

Hope it helps.

ᏒᎯᎨᏁᏰᎾᏯᏕᎯᏝᎿ2222

You have one box that is 1 4/11
feet tall and a second box that is 1.36 feet tall. Write the decimal expansion for
. If you stack the​ boxes, about how tall will the stack be?

Answers

The stacked boxes would be 2.72 feet tall

The height of the stacked box is the sum of the lengths of the two boxes

1 4/11 is a mixed number and it has to be converted to a decimal

A mixed number is a number that has a whole number and a proper fraction.

A proper fraction is a fraction is which the numerator is less than the denominator.

The whole number is 1 and the proper fraction is 4/11

To convert to a decimal, divide the numerator by the denominator. Add this number to the whole number

4/11 = 0.36

1 + 0.36 = 1.36 feet

Height of the stacked boxes = 1.36 + 1.36 = 2.72 feet

To learn more about decimals, please check:

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if x=1+3i ,y=x-i find the value of x^2-y^2​

Answers

Answer:

Step-by-step explanation:

x = 1 + 3i

x^2 = (1 + 3i)(1 + 3i)

f: 1 * 1 = 1o: 1 * 3i = 3ii:  3i * 1 = 31L: = 3i * 3i = 9i^2 = - 9

x^2 = 1 + 6i - 9 = -8 + 6i

By a similar method

y = (x - i)

y^2 = x^2 - 2i*x + i^2

y^2 = x^2 - 2ix - 1

y^2 = -8+6i - 2i(1 + 3i) -1

y^2 = -8+6i -2i - 6i - 1

y^2 = -8 - 2i - 1

y^2 = - 9 - 2i

x^2 - y^2 = -8 + 6i - (9 - 2i)

x^2 - y^2 = -8 + 6i - 9 + 2i

x^2 - y^2 = -17 + 8i

Lauren bought snacks for her team's practice. She bought a bag of popcorn for $2.37 and a 6-pack of juice bottles. The total cost before tax was $15.45. How much was each bottle of juice?

Answers

Answer:

$2.18

$15.45-$2.37=$13.08

$13.08/6

$2.18

Exercise 1

4x...X4 =

7 times

Answers

It’s 4 power 7 understand though the demonstration down :)
7
4
25x7 67/7 was a pink rabbit random answer

HELP HURRY I WILL GIVE BRAINLIEST
Is 1.304 rational or irrational?

Answers

Answer:

Rational numbers are those numbers that are integers and can be expressed in the form of x/y where both numerator and denominator are integers whereas irrational numbers are those numbers which cannot be expressed in a fraction. ... The denominator of a rational number is a natural number(a non-zero number).

Answer:

Rational

Step-by-step explanation:

A rational number can be expressed in the form

[tex]\frac{a}{b}[/tex] ← where a and b are integers

Given

1.304

= 1 + [tex]\frac{304}{1000}[/tex]

= [tex]\frac{1304}{1000}[/tex] ← as a rational number

A patient is to take 4 2/3 tablespoons of medicine per day in 4 equally divided doses. How much medicine is to be taken in each dose?

Answers

Answer:

1 1/6

Step-by-step explanation:

4 2/3 ÷ 4

Convert the mixed number into an improper fraction:

4 2/3 = 14/3

14/3 ÷ 4

14/3 ÷ 4/1

Use cdf (copy dot flip)

14/3 × 1/4

14 × 1 / 3 × 4

14/12

Convert improper fraction into a mixed number:

14/12 = 1 2/12

1 1/6

Solve for x: 4x + 1/2 (2x + 4) > 12
( 9th grade Algebra 1)

Answers

Answer:

x > 2

Step-by-step explanation:

Distribute and cross-simplify 1/2 with parenthesis

4x + x + 2 > 12

Solve left side

5x + 2 > 12

Subtract 2 from both sides

5x > 10

Divide both sides by 5

x > 2

what is the commutative property in x+3y
PLEASE ANSWER QUICKLY

Answers

Answer:

3y+x

Step-by-step explanation:

commutative property :

a+b=b+a

Similarly:

x+3y=3y+x

Answer:

[tex]we \: know \: that \: commutative \: \\ prop \: is \: x + y = y + x \\ so \: x + 3y = 3y + x \\ \\ thank \: you[/tex]

helppppppppppppppppppppppppppppppppppp pleaseeeeeeeeeeeeeeeeee

Answers

Answer:

answer is D

Step-by-step explanation:

i promise good luck

Answer:

d

Step-by-step explanation:

change the fractions into improper fractions

then multiply nominators by nominators

then same for denominators

then simplify


Evaluate 9ab, for a = 5 and b =
- 7

Answers

Answer:

-315

Step-by-step explanation:

Plug in 5 as a and -7 as b into the term:

9ab

9(5)(-7)

Multiply:

= -315

So, the answer is -315.

[tex]\huge\boxed{\textsf{Hey there!}}\\\\\\\huge\boxed{\mathsf{9ab}}\\\huge\boxed{\mathsf{= 9(5)(-7)}}\\\huge\boxed{\mathsf{= 45(-7)}}\\\huge\boxed{\mathsf{= -315}}\\\huge\boxed{\frak{Answer: -315}}\huge\checkmark\\\\\huge\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Complete the pattern 13, 14, 16, 19, 23, ______.

Answers

Answer:

28

Step-by-step explanation:

it is increasing by 5 then 6,7,8,9...

Answer:

28

Step-by-step explanation:

Find the value of k. please help

Answers

Answer:

k=57

Step-by-step explanation:

-k+15=k-99(vertically opposite angles)

k=57

Opposite angles are equal

[tex]\\ \rm\longmapsto -k+15=k-99[/tex]

[tex]\\ \rm\longmapsto -k-k=-99-15[/tex]

[tex]\\ \rm\longmapsto -2k=-114[/tex]

[tex]\\ \rm\longmapsto 2k=114[/tex]

[tex]\\ \rm\longmapsto k=\dfrac{114}{2}[/tex]

[tex]\\ \rm\longmapsto k=57[/tex]

The cost of a jacket increased from $50.00 to $59.00. What is the percentage increase of the cost of the jacket?

Answers

Answer- it increased 18%

Answer:

18%

Step-by-step explanation:

I know this because i am a smoot person  l o l. Hope this helps!

There are 8 cupcakes on a plate. Five children will share them equally. How many cupcakes will each child receive? Represent the scenario three ways:
With math vocabulary, as an expression, and as a fraction.

Answers

Answer:

Each child will receive eight fifths of the cupcakes.

5x=8 ; x represents how many cupcakes each child receives.

[tex]\frac{8}{5}[/tex]

Step-by-step explanation:

There are 8 cupcakes in total.

5 children.

Divide 8 by 5. [tex]\frac{8}{5}[/tex]

I hope this helps!

pls ❤ and mark brainliest pls!

Need HElp Agian first person get brainlsit

Answers

A solution to a system of equations are where the two lines cross over each other.

System A the graph shows one line which means the two lines are on top of each other. This means any point on the lines are a solution so there are infinite number of solutions.

System B, the lines cross at one point is there is only one solution which is at (-3,2)

System C the two lines are parallel to each other and never cross so there are no solutions.

Step-by-step explanation:

(i) Infinite solution

If there is only one line then it is a infinite solution.

(ii) One solution

Both are intersecting each other.

Solving

-x - 1 = x + 5

-x - x = 5 + 1

-2x = 6

x = 6/-2

x = -3

y = -x + 5

y = -3 + 5

y = 2

(iii) No solution

Because they are parallel to each other

10. The triangle has a perimeter of 23 feet. Find the value of x.
x ft
(x + 3) ft
3x ft.

Answers

Answer:

x = 4

Step-by-step explanation:

3x + x + (x + 3) = 23 feet

3x + x + x = 20 feet

5x = 20 feet

x = 20/5

x = 4

Explain how to do order of operations. Use an example

Answers

Answer:

First, solve what is in the parentheses of the function. Next, solve the exponents. This includes normal exponents, negative exponents, square roots, cube roots, etc. After that, multiply and divide, and finally, add and subtract the remaining equation.

Chen rode his skateboard 3 3/4 miles in of 3/4 an hour. What was his average speed in miles per hour?

Answers

Answer:

5

Step-by-step explanation:

Dont ask why i think its 5 mph

It would be 1 1/4 miles per hour.

why is this simplified by combining like terms
3(4x+5) +2

Answers

3(4x+5)+2
3•4x=12x
5•3=15+2=17
Answer= 12x + 17

Name the figure below in two different ways.

Answers

Answer:

Line segment. (That's what I know)

Step-by-step explanation:

There are two points on the ends, so its a line segment. I think thats it

It is a line segment called UH or HU
Both names should have a line above them (to indicate a line segment) but I am on a tablet.
An arrow or double arrow above the name would indicate a vector or line (respectively)
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