what are the two ways that rational numbers are written as decimals

Answers

Answer 1

Answer:

Repeating Decimals and Terminating Decimals

Step-by-step explanation:

Any number that can be written in fraction form is a rational number.

Hope This Helps :)


Related Questions

Add 0 and write t
8
+
0

Answers

Answer:

8t

Step-by-step explanation:

Add 0 to 8 and then add the letter variable t.

(3y + 2)(7y) y= 1
How do I evaluate that. Please show work

Answers

Answer: 17

Step-by-step explanation:

y= 1

(3y + 2)(7y)                

(3(1) + 2(7(1))              Replace y with given number

(3 + 2(7))                    Multiply 1 to 3 and 7

(3 + 14)                       Multiply 2 and 7

(17)                              Add 3 and 14

Answer:

1.  y = 1/7 = 0.143

2.  y = 2/3 = 0.667

Step-by-step explanation:

STEP  1 :

Equation at the end of step 1

 (3y - 2) • (7y - 1)  = 0  

STEP  2 :

Theory - Roots of a product

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2      Solve  :    3y-2 = 0  

Add  2  to both sides of the equation :  

                     3y = 2

Divide both sides of the equation by 3:

                    y = 2/3 = 0.667

Solving a Single Variable Equation:

2.3      Solve  :    7y-1 = 0  

Add  1  to both sides of the equation :  

                     7y = 1

Divide both sides of the equation by 7:

                    y = 1/7 = 0.143


How do you write 0.1 as a fraction?

Answers

Answer:

1/100

Step-by-step explanation:

Answer:

0.1 can be written as 1/10

Step-by-step explanation:

0.1*10/1*10

Un mecánico tiene un conjunto de 20 llaves. La medida de la llave más grande es 3/4 pulgada, mientras que la llave mas pequeña es 1/8 de pulgada. ¿Cual es la diferencia en números raciónales de estas medidas?

Answers

Answer:

La diferencia en los tamaños entre los siguientes tamaños de teclas es de 1/32 pulgadas

Step-by-step explanation:

El número de llaves que tiene el mecánico = 20 llaves

El tamaño de la llave más grande = 3/4 pulgadas

El tamaño de la llave más pequeña = 1/8 pulgadas

La diferencia de medida entre la tecla más grande y la más pequeña = 3/4 - 1/8 = 5/8 pulgadas

El aumento de la medición entre las teclas posteriores se puede dar de la siguiente manera;

D = 5 / (20 × 8) = 1/32 pulgadas

Los tamaños de las teclas son;

(Usando Excel y Word)

3/4 pulgadas, 5/7 pulgadas, 2/3 pulgadas, 2/3 pulgadas, 5/8 pulgadas, 3/5 pulgadas, 4/7 pulgadas, 1/2 pulgadas, 1/2 pulgadas, 1/2 pulgadas, 4/9 pulgadas, 2/5 pulgadas, 3/8 pulgadas, 1/3 pulgadas, 1/3 pulgadas, 2/7 pulgadas, 1/4 pulgadas, 2/9 pulgadas, 1/5 pulgadas, 1/6 pulgadas, 1/8 pulgadas

La diferencia en los tamaños entre los tamaños de clave posteriores = 1/32 pulgadas.

Fill in the missing steps and justifications used to solve the given equation.

Answers

Right box
3. Simplification
4. Addition property of equality

Left box
6x-7+7=12+7

X=19/6

In Left BOX

6x-7 + 7 = 12+ 7x = 19/6

in Right Box

Simplification Addition property of equation

What are the Properties of the equation?

Equilibrium, reflexivity, symmetry, transitivity, and the properties of operations are all solved by equations' properties. These properties hold true in propositional language as well as in algebra and arithmetic.

Hence, Here the solution is a step toward solving the given equation by using simplification.

Learn more about the properties of the equation here:

https://brainly.com/question/18111494

#SPJ5

(r/s)(3) = ?

please help.

Answers

Answer:

[tex]\frac{3r}{s}[/tex]

Answer:

It’s 2

Step-by-step explanation:

Can anyone help me with this question ?

Answers

Answer:

addition

Step-by-step explanation:

18 ( d - 9 ) = 198

     3

divide both side by 18

d - 9 = 198  

3             18

d - 9 = 11

3

multiply both sides by 3

d - 27 = 33

add 27 to both sides

d = 33 + 27

lastly, add them together

d = 60

therefore, the last step is addition

Which of these choices is equivalent to the expression: i85

Answers

Answer:

[tex]i^{85} = i[/tex]

Step-by-step explanation:

The options are missing; however, the question can still be solved.

Given

[tex]Number = i^{85}[/tex]

Required

Simplify

[tex]Number = i^{85}[/tex]

Rewrite 85 as 84 + 1

[tex]Number = i^{84 + 1}[/tex]

Split the expression using the law of indices

[tex]Number = i^{84} * i^1[/tex]

Rewrite 84 as 4(21)

[tex]Number = (i^{4})^{21} * i^1[/tex]

In complex numbers, [tex]i^4 = 1[/tex]

So, we have

[tex]Number = 1^{21} * i^1[/tex]

[tex]Number = 1 * i[/tex]

[tex]Number = i[/tex]

Hence;

[tex]i^{85} = i[/tex]

Lawrence High prevailed in Saturday's track
meet with the help of 20 individual event
placers earning a combined 68 points. A
first place finish earns 5 points, a second-
place finish earns 3 points, and a third-place
finish earns 1 point. Lawrence had a strong
second-place showing, with as many second
place finishers as first and third-place
finishers combined.

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent a first place finish, y represent a second place finish and z represent a third place finish.

Since there is a total of 20 individual events, hence:

x + y + z = 20          (1)

A first place finish is 5 point, a second place finish is 3 point and third place finish is 1 point. Therefore:

5x + 3y + z = 68      (2)

The second  place finishers is as much as first and third-place  finishers combined. Hence:

y = x + z                   (3)

Solving equation 1, 2 and 3 simultaneously gives:

x = 7,  y = 10 and z = 3

This means the number of first place finishes was 7, second place finishes was 10 and third place finishes was 3

Plz help it need to be done by to day anyone plz

Answers

The answer is 256 because 2304 divided by 9 equals 256.

Step-by-step explanation:

256. I showed work just in case you need to

5/6 + 2/3 = ?
Your
answer

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

Improper Fraction: [tex]\frac{10}{6}[/tex]

Proper Fraction: [tex]1\frac{4}{6}[/tex]

Simplified Proper Fraction: [tex]1\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{5}{6} + \frac{2}{3}[/tex] Is our equation... first we must find a common denominator! Let's take a look...

6: 1, 6, 12

3: 1, 3, 6

We see that both numbers get to 6 so we use that as our common denominator. Now we plug that in...

[tex]\frac{5*1}{6*1} +\frac{2*2}{3*2}[/tex]

We get...

[tex]\frac{5}{6} +\frac{4}{6} = \frac{10}{6}[/tex]

Now if you want to leave it as an improper fraction your answer will be [tex]\frac{10}{6}[/tex]. However, if you want you answer to be a proper fraction your answer is [tex]1\frac{4}{6}[/tex] which can be simplified further to,[tex]1\frac{2}{3}[/tex].

Whew! What a toughie! We showed that math problem!

3. Write an equation to represent the situation:
The total cost of three equally priced DVDs is
$45. How much does each DVD cost?

Answers

Answer:

x=45/3

Step-by-step explanation:

Since total cost for equally priced three DVDs is $45. Therefore, each should cost 45 divided by 3.

Answer:

$15

Step-by-step explanation: easy 45/3 since they are equally prized which would equal 15

The sum of 2 times a number and 10 is the same as 6 times the difference of the number and 1. What is the number? -4 -1 1 4

Answers

Answer:

4

Step-by-step explanation:

let 'x' be the unknown number

let's change the statment to an equation

2x + 10 = 6 (x-1)

2x + 10 = 6x - 6

2x - 6x = -6 - 10

-4x = -16

-4x = - 16

-4. -4

x = 4

hope u like it ❤❤❤

For any question comment me

Answer:

4

Step-by-step explanation:

The gasoline gauge on a truck reads 1/8 full. after you add 30 gallons the gauge reads 3/4 full. what is the capacity of the tank?​

Answers

Answer:

48 gallons

Step-by-step explanation:

[tex] \frac{3}{4} = \frac{6}{8} \\ \frac{6}{8} - \frac{1}{8} = \frac{5}{8} \\ 5 \div 30 = 6 \\ 6 \times 8 = 48[/tex]

Translate the sentence into an equation. Four more than the quotient of a number and 8 is 9. Use the variable y for the unknown number.

Answers

Equation : 4+( y/8) = 9

the sum 4 times a number and 7 is 31​

Answers

Step-by-step explanation:

I'm not sure what you're looking for exactly, but it translates to this equation

4x + 7 = 31

I'm pretty sure I got something wrong in this assignment can someone see where it went down? Instructions included.

Answers

Answer:

The 12 4/9 in the bottom right corner is 13 7/9 and the 8 two squares to the left of it is 6 2/3.

Step-by-step explanation:

You actually did really well! It was only in the last two squares that you went wrong. The first wrong one was just the 12 4/9 in the last column and second to last row, which should be 13 7/9. Then with that the last square that is wrong is just the 8 in the 5th column and second to last row, which should be 6 2/3. Those are the only ones so you actually did really well, great job!

Hope this helped!

I have tried 3 times to solve this.​

Answers

Step-by-step explanation:

Year 2006- y = 0.09 (6) + 0.04 = 0.58

Year 2008- y = 0.09 (8) + 0.04 = 0.76

Year 2010- y = 0.09 (10) + 0.04 = 0.94

Year 2012- y = 0.09 (12) + 0.04 = 1.12

Year 2014- y = 0.09 (14) + 0.04 = 1.3

"Let x = 6 which is corresponded to 2006", so 8 would correspond to 2008, 10 would correspond to 2010, 12 would correspond to 2012, and 14 would correspond to 14. Plug 6 for x into your equation and do them same for the others.

Hopefully this helps you! :)

Solve the equation: only write the number is the box
2( 5x+2)=54

Answers

Answer: x = 5

Explanation:

2(5x + 2) = 54
10x + 4 = 54
10x = 54 - 4
10x = 50
x = 50/10
x = 5

Therefore, x = 5

4x + 2(x - 5) - 3(2x -4)

Answers

Answer:

2

Step-by-step explanation:

Pull out like factors :

  2x - 4  =   2 • (x - 2)

(4x +  (2 • (x - 5))) -  6 • (x - 2)

 (4x +  2 • (x - 5)) -  6 • (x - 2)

Final Answer:

2

A 351- foot rope is cut into three pieces. The second piece is twice as long as the first. The third piece is 3 times as long as the second. How long is the shortest piece of rope?

Answers

Answer:

87.75

Step-by-step explanation:

Teah was selling candy bars for a fundraiser. She spent $25 on a box of candy bars and sold each candy bar for $2.50. Her profit was $75. Teah wrote the equation 2.5c−25=75 for this situation, and she found c=40. Which statement is true about the solution c=40?

Answers

Answer:

The equation is not true. It is actually c=30

Step-by-step explanation:

First you have to divide amount of money she's selling the candy bars for which is $2.50.

If her profit was $75, you want to know how much bars she sold, you will have to divide the amount of money she's selling the candy bars for and the amount she's earning which is $75 divided by $2.50 which is 30.

So c= 30

sin 20.sin 10 as sum or difference

Answers

Answer:

see explanation

Step-by-step explanation:

The difference identity for the product is

sinxsiny = [tex]\frac{1}{2}[/tex] [ cos(x - y) - cos(x + y) ], thus

sin20sin10

= [tex]\frac{1}{2}[/tex] [ cos(20 - 10) - cos(20 + 10) ]

= [tex]\frac{1}{2}[/tex] ( cos10 - cos30 )

If a+b+c=9 ab +bc+ca=12 find a2+b2+c2

Answers

Step-by-step explanation:

(a + b + c)^2 = (a^2 + b^2 + c^2) + 2(ab + bc + ca).

Therefore 9^2 = (a^2 + b^2 + c^2) + 2(12).

a^2 + b^2 + c^2 = 81 - 24 = 57.

Please find attached photograph for your answer.

Plsss help me with this!!!!

Answers

The interior angles of a triangle add up to 180 degrees, meaning we can make an equation.

[tex]2x+36=180[/tex]

[tex]2x=144[/tex]

[tex]x=72[/tex]

Hope this helps.

頑張って!

calculate the perimeter of a triangle whose dimensions are 1 m 60cm, 1m 80cm and 2m​

Answers

Answer:

540 CM

Step-by-step explanation:

The perimeter means the sum of the distance around a particular shape

1M=100 CM

2M=200 CM

200+60+80+100+100=540CM

(x-6)(x2+3x+4) Please show working or at type a sentence on how you got it.

Answers

Answer:

x³-3x²-14x-24

Step-by-step explanation:

(x-6)(x^2+3x+4)

first multiply x by x^2+3x+4

x×x²=x³

x×3x=3x²

x*4=4x               add

x³+3x²+4x ( first part)

multiply -6 by x²+3x+4

-6x²-18x-24

x³+3x²+4x -6x²-18x-24  ( simplify)

x³-3x²-14x-24

find the answer to = d/4 < 16

Answers

Answer:

d < 64

.....................

The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects, Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let a represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.​

Answers

Answer:

Statement 2, Statement 4, and Statement 5 all applies

Step-by-step explanation:

Statement 1:

The expression 50ℎ represents the total charge for Rock the House Digital Designs.

Rock the House Digital Designs:

Initial consultation charge of $500 + $50 for every additional hour of work for the house plans

500 + 50h

NOT TRUE

Statement 2:

The expression 75ℎ represents the total charge for Elegance Home Architects.

Elegance Home Architects:

$75 per hour for the house plans

75h

TRUE

Statement 3:

The cost for using Rock the House Digital Designs for an initial consultation only is $550.

The cost for using Rock the House Digital Designs for an initial consultation only is $500

NOT TRUE

Statement 4:

If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

Rock the House Digital Designs = 500 + 50h

500 + 50(15)

= 500 + 750

= $1,250

Elegance Home Architects = 75h

= 75(15)

= $1,125

TRUE

Statement 5:

If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Rock the House Digital Designs = 500 + 50h

= 500 + 50(40)

= 500 + 2,000

= $2,500

Elegance Home Architects = 75h

= 75(40)

= $3,000

TRUE

5-x<8;x=-3 value of the solution

Answers

Answer:

Step-by-step explanation:

5-x<8; x=-3

5-(-3)<8

5-3<8

 ^

8<8    

i think that's how you do it ? sorry if this is wrong

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