Answer -rational numbers and irrational numbers
Using number sets, it is found that the set of dense numbers is composed of rational and irrational numbers. Therefore, option C is the correct answer.
From options, we need to check which answer describes the type of numbers that are dense.
What are numbers?Numbers are an integral part of our everyday lives, right from the number of hours we sleep at night to the number of rounds we run around the racing track and much more. In math, numbers can be even and odd numbers, prime and composite numbers, decimals, fractions, rational and irrational numbers, natural numbers, integers, real numbers, rational numbers, irrational numbers, and whole numbers.
Numbers can be classified as:
Whole numbers: All positive numbers and 0, so: {0,1,2,...}
Integer numbers: Positive or negative, not decimal so: {...,-2,-1,0,1,2,....}
Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459 (4459 repeating is the pattern).
Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339, which can be approximated to the rational 0.1.
Real numbers: Rational plus irrational.
A subset is dense of the rational numbers if all numbers can be approximated to rational numbers, and thus, rational and irrational numbers are dense.
Therefore, option C is the correct answer.
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Put these into least to greatest
Answer:
Square root 8 over three, (square root of 4)/2, and pi/3.
Step-by-step explanation:
First of all, square the radicals to make solving this easier. Squarer root 8 over three will become 8/9, and square root 4 over 2 will now become 4/4, which is 1. Pi/3 is greater than 1, so we can now order this from least to greatest. 8/9 is the least, 1 is the second greatest value, and pi/3 is the greatest value.
Answer: 8squared/3 4squared/2 Pi/3
Step-by-step explanation:
8 squared = 2.8... = 2.8/3 (least)
4 squared = 2 = 2/2 = 1 (second least)
Pi over 3 = 3.14159.../3 = 1 .14159/3 (greatest)
In a stationary store,pencils have one price and pens have another price.Two pencils and three pens cost 78 cents.However, 3 pencils and 2 pens cost 72 cents . How much does one pencil cost?
Answer:
12¢
Step-by-step explanation:
Let the unit price of a pencil be x and the unit price of a pen be y.
2x+3y=78¢
3x+2y=72¢
(2x)+3y=78¢
(3x)+2y=72¢
=2x=78¢-3y
=2x/2=78¢/2+3y/2
=x=36¢-1.5y
You then use the equation 3x+2y=72¢.
3(36¢-1.5y)+2y=72¢
=117¢-4.5y+2y=72¢
=117¢-72¢=4.5y-2y
=45¢=2.5y
=45¢/2.5=y
=18¢=y
So a pen costs 18¢.
You then use x=36¢-1.5y
x=36¢-1.5(18¢)
=x=36¢-27¢
=x=12¢
Therefore, a pencil costs 12¢.
which of the following sets represents a function
Answer:
the top one
Step-by-step explanation:
one input cannot have more than one output
3.75 +(-4)+(-5.25) =
Answer:
-5.5
Step-by-step explanation:
PLEASE HELP, ITS TIMED SO HURRY PLEASE>>>>>>>
Answer:
The answer is noncollinear
Step-by-step explanation:
Answer:
Non-collinear because the points dont line up to be colinnear. learned this today dead a** its not hard. pay attention
Step-by-step explanation:
Please help me! I am so bad at math. 7(6+5x)=3x-22
Answer:
-2
Step-by-step explanation:
42+35x=3x-22
35x-3x=-22-42
32x=-64
therefore, x= -64/32
and through further simplification you will get
-2
hope this helped you ( ꈍᴗꈍ)
Is 41/50 closer to 9/11 or 10/11? Verify your answer
Answer: No it is closer to 9/11
Step-by-step explanation:
Answer: It is closer to 9/11
Step-by-step explanation: 41/50 in decimal form is 0.82.
9/11 in decimal form is 0.8181, which rounds up to 0.82
10/11 in decimal for is 0.9090, which rounds up to 0.91.
So,
41/50 = 0.82
9/11 =0.8181 OR 0.82
10/11 = 0.9090 OR 0.91
If m < A = 4x + 12 and x = 15, is < A acute, obtuse, or right? Justify your answer.
Step-by-step explanation:
Angle A = 4x + 12 = 4(15) + 12 = 72°.
Acute is for angles that are less than 90°.
Obtuse is for angles that are between 90° and 180°, not inclusive.
Right is for angles that are 90°
Hence the answer is acute.
The angle is an acute angle
An acute angle is an angle that is less than 90 degrees
An obtuse angle is an angle that is greater than 90 degrees and less than 180 degrees
In order to determine which type of angle it is, solve for angle A
4x + 12
4(15) + 12
60 + 12 = 72
The angle is acute because it is less than 90 degrees
Please check the attached image for an image of an acute angle
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scarlett bought 10 chicken wings for $24.00. how much would it cost for 17 wings
First, divide.
24 / 10 = $2.40 per chicken wing
Second, multiply.
17 * 2.4 = $40.80
Best of Luck!
which ordered pair is the solution of the equation? -3x+4y=14
Answer:
For Khan: A-Only (2,5)
Step-by-step explanation:
A sandwich shop employee
named Pedro takes 5.7
minutes to make a sandwich.
How long does it take him to
make 6 sandwiches?
Frank makes x dollars per week. His dad makes 4 times as much money as him each week. Each week their income adds up to 1.000 dollars. How much does frank earn each week? How much does franks dad earn each week?
Answer:
Frank earns $200.
His dad earns $800.
Step-by-step explanation:
Giving the following information:
His dad makes 4 times as much money as him each week. Each week their income adds up to 1.000 dollars.
We know that:
x= Franks income
4x= Dads income
y= total income
y= x + 4x
1,000= 5x
1,000/5=x
200=x
Frank earns $200.
His dad earns $800.
solve x 3(x+1)=-2(x-1)-4
Answer:
x= -1/3 or -2
Step-by-step explanation:
3x^2 +3x= -2x +2-4
3x^2 + 5x +2=0
by factorization method
3x(x+2) 1(x+2)=0
(3x+1)(x+2)
Answer:
x3(x+1)= –2(x-1)–4
3x^2+3x=–2x+2-4
3x^2+3x+2x=2-4
3x^2+5x=–2
3x^2+5x+2=0
3x^2+3x+2x+2=0
3x(x+1)2(x+1)=0
(3x+2)(x+1)=0
3x+2=0 or x+1=0
3x=–2 or x=–1
x=–2/3 or –1
Step-by-step explanation:
–remove brackets by multiplication
–form a quadratic equation
–and then solve either by means of quadratic formula or factorisation method
Alex’s house (point F) lies on the same street as her school (point H). Alex’s bus stop (point G) lies between her house and her school.
Given FG = (2x) meters, GH = 1,000 meters, and FH = 1,200 meters, what is x?
The value of x in the expression will be 100.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Given that FG = (2x) meters, GH = 1,000 meters, and FH = 1,200 meters,
The value of x will be calculated by making an equation for the line segment below:-
FG + GH = FH
2X+1000=1200
2X = 1200 - 1000
2X = 200
X = 100 meters
2X + 1000= 1200
Therefore, the value of x in the expression will be 100.
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*PLEASE ANSWER, NEED HELP* Which of the following is not a type of probability model? a.) A systematic list b.) An area model c.) A spinner d.) A tree diagram
Answer:
I think a spinner is not a type of probability model.
I am not sure tho
Option (c) A spinner is not a probability model
What is Probability model?A probability model is a mathematical representation of a random phenomenon.
Here,
In systematic list, the outcomes for an event can be listed in an organized or systematic way to make sure that none of the possible outcomes is missed out.
In area model, area models can be used to represent simple probabilities.
A probability tree diagram is used to represent the probability of occurrence of events without using complicated formulas.
But spinner is not a probability model.
Hence, option (D) Spinner is not a probability model
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what is Twice x, plus 8 , is the same as -15?
Answer:
x=11.5
Step-by-step explanation:
2x+8=-15
x=-23/2
x=-11.5
Answer:
= -11.5
Step-by-step explanation:
2x + 8 = - 15
2x = -15-8
2x = - 23
divide both sideby 2
2x = -23
2 2
x = -11.5
Which angle refers to the same angle as ∠ D E F
Answer:
It is angle FED which is equal to angle DEF
QUESTION 11
(01.02)
Given the function f(x) = 3(x+2) - 4, solve for the inverse function when x = 2. (1 point)
O -4
Oo
O 4
08
Answer:
8
Step-by-step explanation:
3( 2 + 2 ) - 4
3( 4 ) - 4
12-4
8
solve for y: 3x - y = 4
Answer:
y=12x/5
x=5y/12
Step-by-step explanation:
y:3x-y=4
y=4(3x-y)
because if there is divide sign if it will go to another side it will be multiply
y=12x-4y
y+4y=12x
5y=12x
y=12x/5
or, x=5y/12
Hope it is helpful for you
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☆ please help! I got an answer but I think its wrong ☆
Answer:
-3,5,-10,16
Step-by-step explanation:
AG bisects ∢RAZ , and ∢RAG =. 8x+5 , and ∢ZAG = 4 x + 29 find the x .
Answer:
x = 6
Step-by-step explanation:
Given AG bisects ∠ RAZ , then
∠ RAG = ∠ ZAG , that is
8x + 5 = 4x + 29 ( subtract 4x from both sides )
4x + 5 = 29 ( subtract 5 from both sides )
4x = 24 ( divide both sides by 4 )
x = 6
Sarah is working as a truck driver. She gets paid $100 everyday and then $22 per hr driving. How many hours does sarah have to work to make $276 in one day
Answer:8
Step-by-step explanation: she makes $100 a day so you would subtract that from the total (276) then you would divide the remainder (176) by the amount she makes an hour (22) then you would end up with 8 hours
Answer:
8 hours
Step-by-step explanation:
For $22=1 hour
For $1=1/22 hours
For $176=176/22 hours=8 hours
And she gets also $100 extra
So for $276 she works 8 hours.
one-half the cube of m subtracted by 4 *
Answer:
[tex]\frac{m^3}{2} - 4[/tex]
Step-by-step explanation:
Required
Determine an expression for the given statement
The expression can be rewritten as:
one-half * the cube of m subtracted by 4
Convert each statement to mathematical expressions:
One half = [tex]\frac{1}{2}[/tex]
The cube of m = [tex]m^3[/tex]
one-half * the cube of m = [tex]\frac{1}{2} * m^3[/tex]
At this stage, we have:
[tex]\frac{1}{2} * m^3[/tex] subtracted by 4
This gives:
[tex]\frac{1}{2} * m^3 - 4[/tex]
[tex]\frac{m^3}{2} - 4[/tex]
Hence, The corresponding expression is [tex]\frac{m^3}{2} - 4[/tex]
One-half the cube of m subtracted by 4 is [tex]0.5\sqrt[3]{m} -4[/tex]
Based on the information given, one-half the cube of m subtracted by 4 is expressed as:
[tex]0.5\sqrt[3]{m} -4[/tex]Note that the cube of m is expressed as [tex]\sqrt[3]{m}[/tex]The half of the cube of m will be given as [tex]0.5\sqrt[3]{m}[/tex]Subtracting 4 from the result will give the final expression as [tex]0.5\sqrt[3]{m} -4[/tex]
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What type of proof is used extensively in Geometry?
Answer: two-column
Step-by-step explanation:
Answer:
two-column proof
Step-by-step explanation:
quizlet
3/2(4x – 1) – 3x = 5/4 – (x + 2
Answer:
If you need to evaluate the equation, the answer would be x=19/16.
Step-by-step explanation:
What is 90% of 81?
X
Answer:72.9
Step-by-step explanation:
Answer:
72.9
Step-by-step explanation:
Fractions method:
[tex]81*\frac{90}{100}[/tex] because 90/100 is the same thing as 90%
That gives us 7290/100, from 81*90/100
Simplify: =729/10 = 72.9
Decimals method:
81*9 = 729, add in decimal and that's 72.9
Cross-multiplication:
90 100
? 81
This is read as 90 to 100, (as a ratio) so how many to 81? To solve, cross-multiply - 81*90=7290, then divide by 100 to get 72.9.
This is my first answer , hope it helped!
What is the equation of a line with a slope of –2 that passes through the point (6, 8)?
Answer:
The answer is
y = - 2x + 20Step-by-step explanation:
To find the equation of the line given a point and slope we use the formula
[tex]y - y_{1} = m(x - x _{1})[/tex]
where
m is the slope
( x1 , y1) is the point
From the question
The point is (6, 8) and
slope - 2
The equation of the line is
[tex]y - 8 = - 2(x - 6) \\ y - 8 = - 2x + 12 \\ y = - 2x + 12 + 8[/tex]
We have the final answer as
y = - 2x + 20Hope this helps you
Answer:
C on edge
Step-by-step explanation:
just took the quiz
why and how do you do this I am having a hard time
Answer:
Peter walks at a rate of 13/4 miles per hour.
Step-by-step explanation:
Peter walks at a rate of 13/4 miles per hour because every hour, represented by x, he walks 3.25 hours or 13/4. y is the total miles he walked so if he walks two hours the y would equal 6.5 or 26/4 and the x would equal 2.
The dimensions of a rectangular prism are length is 2 1/4 feet width is 1 foot and height is 1 1/4 feet and the length of the sides of a small cube are 1/4 foot each. How many small cubs can be packed in the rectangular prism.
Answer:
180
Step-by-step explanation:
2 1/4 ft = 9/4 ft, so is a length equivalent to 9 cubes.
1 ft = 4/4 ft, so is a length equivalent to 4 cubes.
1 1/4 ft = 5/4 ft, so is a length equivalent to 5 cubes.
Then the volume of the prism is ...
V = LWH
V = (9)(4)(5) = 180 . . . cubes
2 over 3 = x-1 all over 4
Answer:
x = [tex]\frac{11}{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{3}[/tex] = [tex]\frac{x-1}{4}[/tex] ( cross- multiply )
3(x - 1) = 8
3x - 3 = 8 ( add 3 to both sides )
3x = 11 ( divide both sides by 3 )
x = [tex]\frac{11}{3}[/tex]