To which subset of the real number system does the number LaTeX: 1.\overline{5}1. 5 ¯ belong?

Answers

Answer 1

Answer:

The subset of rational numbers

Step-by-step explanation:

Rational numbers are numbers that can be expressed in the form a/b where ad b are integers. The number [tex]1.\overline5[/tex] is a number with a recurring decimal of 5 and every recurring decimal can be expressed in the form a/b where a and b are both integers therefore, every number with recurring decimal is a rational number.

In the question,  [tex]1.\overline5[/tex]  can be written as follows;

[tex]1.\overline5 = \dfrac{14}{9}[/tex] or [tex]1.\overline5 = 1\dfrac{5}{9}[/tex].


Related Questions

The radius of the circle has a length of units.

Answers

Answer: 10 units

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Edg 2021

Write 7.96 as a mixed number in simplest form

Answers

Answer:

199/25

Step-by-step explanation:

Answer:

7 24/25

Step-by-step explanation:

The whole number, 7, does not change. The decimal becomes 96/100 which simplifies to 24/25 when you divide by 4.

Hope this helps :-)

Sean set a lure while playing Pokemon Go. He caught 12 Pokemon in 30 minutes. On
average, how many Pokemon did he catch each minute?
HELPPPPPP

Answers

Answer:

0.4 pokemons per min

Step-by-step explanation:

12/30=0.4

Answer:

i thought u played pokemon go

Step-by-step explanation:

Click on the graphic to find the correct line of reflection.

Answers

Answer:

that one is already correct

can you help me find this ans​

Answers

Answer:

Step-by-step explanation:

50 = 19 + 8 + x

50 - 27 = x

x = 23

Number of students = 50

Apples = 19

Bananas = 8

Other fruits = 23

Percentage of students who chose apples =

19/50 × 100 =

38%

Percentage of students who chose bananas =

8/50 × 100 =

16%

Students that didn't chose apples =

50 - 8 = 42

42/50 × 100 =

84%

Students that didn't chose apples or bananas = 23

23/50 × 100 =

46%

company a operates stores under multiple banners in 34 states in the us a. how many states do not have a store operated by company a? b. what fraction of states do not have a store operated by company a?

Answers

Answers: 16 states and [tex]\frac{16}{50}[/tex]

Explanation:

Question A involves finding the number of states that do not have a store operated by company A. This can be easily found by subtracting the number of states where the company operates stores, which is 34 states, from the total of states, which is 50.

50 - 34 = 16

This means 16 states do not have a store operated by this company

Question B involves writing a fraction to represent the number of states that do not have a store operated by the company. A fraction includes a numerator (top number) that represents the parts selected (number of states without a store: 16), and a denominator, which is the total of parts (total of states: 50). Thus, the fraction is [tex]\frac{16}{50}[/tex]. Moreover, this can be simplified as [tex]\frac{8}{25}[/tex] by dividing both numbers by the seame number (2).

-3 squared + (-4 + 7) (2)

Answers

Steps:

Add  

−9  and  6.

Answer:

−3

Hope this helps (●'◡'●)

Continuing from the first line
-9+3x2
-9+6
-3
I hope this helps!

what is the area of this figure?

Answers

Answer:

211.5 in²

Step-by-step explanation:

top rectangle: 5x7=35

middle rectangle: 8x9=72

bottom triangle: 1/2(19)(11)=104.5

35+72+104.5= 211.5 in²


Rashad works at an appliance store. He earns 10
percent of the total amount he sells. The table shows
the amount of sales he made in one day.

Answers

Answer: what is the total amount of Rashad's sales? 1,380

How much does Rashad earn from his sales? 138

Edg.

Step-by-step explanation:

Answer:

1,380 , 138

Step-by-step explanation:

Edge 2021

A box has dimensions of 17 inches long, 1.3 feet wide, and 8 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h. Please show how you got the answer. 2121.6 cubic inches (in3) 176.8 cubic inches (in3) 14.7 cubic inches (in3) 1.2 cubic inches (in3)

Answers

Answer:

176.8

Step-by-step explanation:

If you multiply all three numbers you get 176.8

Please help me asap!! anything helps I'm really lost in this question if you know part of the question pleas answer. thank you!<3​

Answers

1.

term number        sequence A        sequence B

        0                          -1                          ¹/₂

        1                            2                          1

        2                           5                          2  

        3                           8                          4

        4                           11                          8

        5                          14                         16    

        6                          17                         32

2.

Every new term of sequence A is produced by adding 3 to the previous term

3.

Every new term of sequence B is produced by multipling the previous term by 2

4.

In a geometric sequence each term is found by multiplying the previous term by a constant. It means the sequence B is geometric, the constant is 2.

Algebraic Proofs CC
Fill in the Reason for #1
Statements
1. 5(x + 3) = 2x + 3
Reasons

Answers

x = 4

Porque:

5(x + 3) = 2x + 3

5x + 15 = 2x + 3

5x - 2x = 3 - 15

- 3x = - 12

x = -12/ -3

x = 4 ✔️

ΔABC ~ ΔDEF. What is the length DF?

Answers

ΔABC ~ ΔDEF

that means the ratio of DF to AC = the ratio of DE to AB

[tex]x:3.5 \\6:4[/tex]

cross multiply

[tex]4x=6(3.5)\\4x=21\\x=\frac{21}{4}\\ x= 5.25[/tex]

so DF = 5.25 cm

What vector points from the origin to the point (3, -2, 3)?


PLEASE PLEASE HELP

Answers

Answer:

The vector [tex]\vec v = (3,-2,3)[/tex] points from the origin to the point (3,-2,-3).

Step-by-step explanation:

Geometrically speaking, a vector is the change between a final point and a initial point. Since vector are located in space, the origin is represented by point (0, 0, 0) That is:

[tex]\vec v = (3,-2,3)-(0,0,0)[/tex]

[tex]\vec v = (3-0,-2-0,3-0)[/tex]

[tex]\vec v = (3,-2,3)[/tex]

The vector [tex]\vec v = (3,-2,3)[/tex] points from the origin to the point (3,-2,-3).

To solve the problem we must know about Vector points.

Point

A point is a position in space. It is represented by a dot.

Vector

A vector is something that has both magnitude and direction but no fixed position in space. it is represented by an arrow pointing in a particular direction.

Vector points

When we draw vectors, we attach them to specific points, but we should remember that the vector has no fixed position. These points are known as vector points.

The vector will point toward the point (3, -2, 3) in space.

Given to usvector points = (3, -2, 3)Origin, (0, 0, 0)Solution

As we know a vector has no fixed position in space, but it points towards its final condition starting from the initial condition. Therefore, its tail is towards the initial condition while its arrowhead is towards the final condition. Thus,

Vector calculation

Final condition - Initial Condition

= (3, -2, 3) - (0, 0, 0)

= (3-0, -2-0, 3-0)

= (3, -2, 3)

Hence, the vector will point toward the point (3, -2, 3) in space.

Learn more about Vector Points:

https://brainly.com/question/11719219

How many combinations are possible on a 4 number computer cable lock. each space can be any number 0-9 . The only exception is that all four numbers cannot be the same. How many combinations are possible ?

Answers

Answer:

5040

Step-by-step explanation:

Given

Digits: 0 - 9

Required

Number of combinations of 4 digits where no repetition is allowed

First, we need to count the number of digits

[tex]Number = 10[/tex]

Then, we perform the following analysis.

The first space can contain any of the 10 digits;

The second space can contain any of the remaining 9 digits;

The third space can contain any of the remaining 8 digits;

The fourth space can contain any of the 7 digits;

Hence; the umber of combination is

[tex]Number = 10 * 9 * 8 * 7[/tex]

[tex]Number = 5040[/tex]

Hence, there are 5040 possible combinations

What is equation of a line that is parallel to the line y=5x+8 and passes through the point (1,-3)

Answers

Answer:

The answer is

[tex]y = 5x - 8[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line.

From the question , the original line is

y = 5x + 8

Comparing with the general equation above

Slope / m = 5

Since the lines are parallel their slope are also the same

Slope of parallel line = 5

Equation of the line using point (1,-3) and slope 5 is

[tex]y + 3 = 5(x - 1) \\ y + 3 = 5x - 5 \\ y = 5x - 5 - 3[/tex]

We have the final answer as

[tex]y = 5x - 8[/tex]

Hope this helps you

need asap! solve for x

Answers

Answer:

It's 15

Step-by-step explanation:

(5x+12) (6x+3)=180

5x+6x+12+3=180

11x+15=180

11x=180-15

11x=165

x=165/11

x=15

hope this helps :)

The boiling point of water is 212°F. The boiling point of helium is –452°F. How would you compare the temperatures using an inequality?

Answers

-452°F < 212°F
A negative number is always less than a positive.

Answer:

-452°F < 212°F

Step-by-step explanation:

Can someone answer these questions please I been stuck on this all day

Answers

Answer: Carpet required: 35 square yards. Cost: $700.

Wallpaper required 185 square feet, 4.2 double rolls needed, but you must buy full rolls. So 5 rolls will cost $125.

Step-by-step explanation:

Multiply the dimensions of the floor to get total square footage. Divide by 9 to convert to square yards.

314.5 ÷ 9 = 34.944. Round to 35 square yards. Multiply by $20 to get the cost of the carpet.

Multiply the dimensions of the wall to get total square footage.

Divide by 44 to get the number of rolls needed. Partial rolls not allowed. So it's 5 rolls times the $25 per "double roll." $125 is the cost.

HELP!!!IT IS MY WORST ENEMY.....MATH!!!!!!!!I WILL GIVE THE CROWN TO THE FIRST PERSON

WHO ANSWERS MY NEXT 2-3 EASY QUESTIONS!!!!

Answers

Answer:

Step-by-step explanation:

Answer:

i kill math for u

Step-by-step explanation:

Please please help !

Identify the slope, m, and y-intercept, b, of the equation. Then graph the line described by the equation.
y=1/4x
Part A
Identify the slope, m, and y-intercept, b, of the equation.
y=1/4x
Identify the slope, m, and y-intercept, b, of the equation y=1/4x Enter the correct values in the boxes.
m=_;b=_

Answers

Answer:

m = 1/4 b = 0

Step-by-step explanation:

We know that the slope-intercept form of a line is y=mx+b and that our equation is y=1/4x or y=1/4x+0 so m = 1/4 and b = 0  

I need help with my math

Answers

Answer:

okNeed more practice? Just not getting it? Get Math help

Factor the expressions.
Step by step please.
x^(2)+34x+120

Answers

Answer:

(x+4)(x+30)

Step-by-step explanation:

when the equation is x^2+bx+c=0

-b is the sum of the zeroes and c the product

so -34=-30-4 is the sum of the zeroes

120=30*4 is the product

so x^2+34x+120=x^2+30x+4x+120=x(x+30)+4(x+30)=(x+4)(x+30)

Answer:

(x+4)(x+30)

Step-by-step explanation:

sorry i am late...

How many places after the decimal point does the equivalent decimal have if: a. the denominator of the fraction is 10 b. the denominator of the fraction is 100? Look at your answers to problem 4. Explain the reasoning you used to find the answers.​

Answers

Answer:I think A is the answer sorry if I’m wrong

Step-by-step explanation:

The equivalent decimal have 1 places right after the decimal point, if

the denominator of the fraction is 10.

And, The equivalent decimal have 2 places right after the decimal point, if

the denominator of the fraction is 100.

Here,

We have to determine places after the decimal point does the equivalent decimal have,

The denominator of the fraction is 10 and the denominator of the fraction is 100.

What is Decimal representation?

A decimal number is a number where the integer part is separated from the fractional part with the help of a decimal point.

Now,

Let the number 2 in numerator,

Denominator = 10

Then, Fraction = 2/10 = 0.2

Hence, The equivalent decimal have 1 places right after the decimal point.

Let the number 3 in numerator,

Denominator = 100

Then, Fraction = 3/100 = 0.03

Hence, The equivalent decimal have 2 places right after the decimal point.

So, The equivalent decimal have 1 places right after the decimal point, if

the denominator of the fraction is 10.

And, The equivalent decimal have 2 places right after the decimal point, if

the denominator of the fraction is 100.

Learn more about the Decimal representation visit:

https://brainly.in/question/34919225

#SPJ6

Help me
What is 1/2 divided by 2/3

Answers

Answer: 0.75 = 3/4

Step-by-step explanation: To solve, flip the second fraction and multiply the numerators and denominators together and simplify.

Answer:

3/4

Step-by-step explanation:

[tex]\frac{1}{2}\div \frac{2}{3}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\\\=\frac{1}{2}\times \frac{3}{2}\\\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}=\frac{1\times \:3}{2\times \:2}\\\\=\frac{3}{4}[/tex]

Read each sentence. Then, use the drop-down menus to identify the types of figurative language used. I must be popular because my phone is blowing up. Her smile lit up my day. The dog continued to bark, speaking with authority. He wept like a faucet.

Answers

Answer:

I must be popular because my phone is blowing up.  

✔ hyperbole

Her smile lit up my day.  

✔ metaphor

The dog continued to bark, speaking with authority.  

✔ personification

He wept like a faucet.  

✔ simile

Step-by-step explanation:

Answer:

I must be popular because my phone is blowing up.  hyperbole

Her smile lit up my day.  metaphor

The dog continued to bark, speaking with authority.  personification

He wept like a faucet.  simile

Step-by-step explanation:

please help me i’m struggling over her

Answers

Answer:

Step-by-step explanation:

Its the last graph.

The blue graph is the function y = |x|.

The red one is the graph of y =  5|x|.

This is a vertical stretch of factor 5.

A reflection will _________ change the size of a figure. * A Always B Sometimes C Never

Answers

Answer:

never

Step-by-step explanation:

Reflections do not change the size or shape, just the location of the figure

What is the probability of rolling a 6 sided die and it lands on a 5 or 6

Answers

Answer:

1/3 or 33.3%

Step-by-step explanation:

You can roll a 1 2 3 4 5 or 6

If you want a 5 or 6 there is a 2 in 6 chance which is the same as 1 in 3.

1/3 = .333333 which can be expressed at 33.3%

A 3-gallon bottle of bleach costs $14.88. What is the price per quart?

Answers

Answer:

1.24

Step-by-step explanation:

there are 4 quarts to a gallon. you have 3 gallons. so you have 12 quarts. 14.88 divided by 12 is 1.24! hope this helps! :)

The answer is 1.24! Hope this helps
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