every natural number is a whole number why?
Answers
Answer:
Step-by-step explanation:
0 is whole number and 1 is natural number they both end in infinity. So there is only 0 in whole number but not in natural number.thats why every natural number is whole number
Natural numbers are the counting
numbers and they are always positive.
The set of natural numbers begin at 1 and go on indefinitely.
The natural numbers look like {1, 2, 3, 4, 5, ...}.
When we include 0 in the set of natural numbers, the new set,
{0, 1, 2, 3, 4, ...} is called the set of whole numbers.
Notice that all natural numbers are
included within the set of whole numbers.
We can represent the relationship between these
two sets of numbers using a diagram.
The bigger circle below represents the set of whole numbers
and all natural numbers will appear within the set of whole numbers.
In summary, natural numbers are the same as whole numbers except for the fact that whole numbers include 0.
Related Questions
Tim dug a hole that was 16 1/2 inches deep.He left a pile of dirt next to the hole that was 8 3/4 inches high.Show how you could use subtraction to find the distance from the top of the pile of dirt to the bottom of the hole.
Answers
Answer:
14 inches
Step-by-step explanation:
Length of the hole = 16(½) inches
Length of the dirt = 8(¾)inches
The distance between the top of the pile to the bottom of the hole = ?
Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.
Distance from the top to the bottom = length of dirt + length of the hole
Length of dirt = 8×¾ = 6 inches
Length of the hole = 16 × ½ = 8 inches
Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches
Distance from the top of the dirt to the bottom of the hole = 14 inches
Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left
Distance left = length of hole - length of dirt
Distance left = 8 - 6 = 2 inches .
But what the question requested was the distance from the top of the dirt to the bottom of the hole
A necklace found at a pawn shop is 192 grams and has a volume of 19.5 cubic centimetres. What metal is the necklace made of?
Answers
Answer:
Bronze
Step-by-step explanation:
To know the metal used to produce necklace, we must calculate the density of the necklace. This is illustrated below below:
Mass of necklace = 192g
Volume = 19.5cm^3
Density =...?
Density of a substance is simply defined as the mass of the substance per unit volume.
Density = Mass /volume
Density = 192g / 19.5cm^3
Density = 9.85g/cm^3
Now comparing the density of the necklace with the density of various metals in the table, we can see that the density of the necklace matches that of bronze.
Therefore, the necklace is made of bronze.
(x - 3)² + (x - 1)² = 8
Identify the center and radius of each
Answers
Answer:
The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]
Step-by-step explanation:
I am going to assume you meant to write
[tex](x-3)^2+(y-1)^2 = 8[/tex]
Since if both variables were x it would not be a circle:
Then you can find the center and radius using the general formula of a circle:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
where the center is at (h,k) and r is the radius
Therefore:
The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]
Two trains leave stations 432 miles apart at the same time and travel toward each other one train travels at 95 mph about the other travels at 85 mph how long will it take for the two trains to meet
Answers
Answer:
1 hour
Step-by-step explanation:
please answer I will give brainlist
In the diagram, segment CG is best described as a
tangent
radius
chord
diameter
Answers
Answer:
Try chrord. The picture looks like a tangent but the CG line looks most like a chord.
Step-by-step explanation:
A chord is a line inside of the circle.
Derive x and y values from given equations solve for x and y. 6x-2y=8 -6x+5y=7
Answers
Answer:
6x -2y = 8
-6x+5y = 7
3y = 15
y = 5
6x - 2(5) = 8
6x - 10 = 8
6x = 18
x = 3
(3, 5)
Step-by-step explanation:
What is the coefficient of the product experssion 6x? I NEED HELP SO PLS HURRYYYYY.
Answers
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Neal and Abel are mountain biking on a 35-mile trail. Their rides are represented by these equations. Abel: d = 14t, Neal: d = 11t + 6 How many hours will the boys have travelled when they are at the same point on the trail? hours
Answers
Answer:
The boys would have traveled two hours to be at the same point on the trail
Step-by-step explanation:
At the same point on the trail, the two boys would have traveled the same distance.
What this means is that the distance traveled by Neal would be equal to the distance traveled by Abel
Thus, we equate the equation of thur distances.
That would be;
14t = 11t + 6
14t -11t = 6
3t = 6
t = 2 hours
Answer:
2
Step-by-step explanation:
An airplane flies 4800 miles into the wind for 15 hours. The return trip takes 10 hours. Find the speed of the airplane without a wind and the speed of the wind.
Answers
Answer:
The speed of the airplane was 800 mph and the wind, 480 mph.
Step-by-step explanation:
distance'd'/speed'v'=travel time't' and the distances are the same. The wind speed works against the plane upwind and helps the plane downwind, of course.
considering x=speed of airplane without wind
c=speed of wind
->Forward trip:
d/v=t
4800/(x-c)=15
320= x-c ---> eq(1)
->Return trip:
4800/(x+c)=10
480 = x+c --->eq(2)
Adding eq(1) and (2)
x-c + x+c = 320+ 480
x= 800 mph
eq(1)=> 320= x-c
c= 800 - 320
c=480mph
The speed of the airplane was 800 mph and the wind, 480 mph.
select the appropriate formula for the surface area of the given figure
Answers
Answer:
The answer is A
Step-by-step explanation:
This figure is a cylinder and the surface area formula of a cylinder is 2 pi rh + 2pi r^2
lisa will choose between two restaurants to purchase pizzas for her party. the first restaurant charges a fee of $5 for the entire purchase and $16 per pizza. The second restaurant has no delivery fee and charges $17 per pizza. Please help and hurry
Answers
Every time, this second restaurant is less expensive; therefore, Lisa should decide to get pizzas for her group from the second restaurant.
What is the accounting definition of a purchase?All items and services purchased for resale of consumption throughout the production process are included in spending on goods and services, excluding capital goods whose consumption is recorded as consumption for fixed capital.
We have For the first restaurant
the total cost per pizza is $16 + $5 = $21.
For the second restaurant
the total cost per pizza is $17.
If Lisa purchases x pizzas,
the total cost from the first restaurant will be $21x + $5 = $21x + $5.
The total cost from the second restaurant will be $17x.
If x = 1, the first restaurant will cost $26 and the second restaurant will cost $17, so the second restaurant is cheaper.
If x = 2,
the first restaurant will cost $47 and the second restaurant will cost $34, so the second restaurant is cheaper.
If x = 3, the first restaurant will cost $68 and the second restaurant will cost $51, so the second restaurant is cheaper.
So, in every case, the second restaurant is cheaper, and Lisa should choose the second restaurant to purchase pizzas for her party.
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If a = 32 ft, b = 15 ft, c = 16 ft, and d = 19 ft, what is the area of the living room and hallway together?
A.
368 ft2
B.
784 ft2
C.
164 ft2
D.
82 ft2
Answers
Answer :
A. 368 ft²
Step by step
[tex]d - b = 19 - 15 = 4 \\ (b \times c) + (a \times 4) \\ = (15 \times 16) + (32 \times 4) \\ = 240 + 128 \\ = 368[/tex]
Answer:
386 ft :)
Step-by-step explanation:
Which expression is equivalent to (4 + 7(3 + 41)?
-16+37i
12-28i
16-37i
37+16i
Answers
Answer:
C
Step-by-step explanation:
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answers
Answer:
A =70 ft^2
Step-by-step explanation:
The area of the triangle is equal to
A = 1/2 bh where b is the base and h is the height
A = 1/2 (20) *7
A =70 ft^2
I got the answer from another person
Please help!!
I am giving you half of my points. Just say something as an answer!
Answers
Answer: i am so confused lol
Step-by-step explanation:
Answer:
Something
Step-by-step explanation:
First you type shift then s, o, m, e, t, h, i, n, and g
3. What are the lateral area and the surface area of the cone shown below? Round the answers
the nearest tenth. The figure is not drawn to scale.
12 ft
21 ft
LA = 452.4 ft?; SA = 2,598.8 ft?
LA = 452.4 ft?; SA = 1,244.1 ft2
LA=791.7 ft?; SA = 2,598.8 ft2
OLA = 791.7 ft2, SA = 1,244.1 ft2
Answers
Answer:
option 4
Step-by-step explanation:
LA = πrl
Here, l ----> slant height
l= 21 ft
r = 12 ft
LA = 3.14*12*21 = 791.7 square ft
SA = πr(l + r)
= 3.14*12 *(12+21)
=3.14* 12 * 33
= 1244.1 square ft
What is answer? Between which two consecutive whole numbers is the square root of 200.?
Answers
Answer:
Step-by-step explanation:
Find the number in the tenth place 1
and look one place to the right for the rounding digit 4
Round up if this number is greater than or equal to 5
and round down if it is less than 5
The answer is 14.1
A carpenter bought a piece of wood that was 5.55 meters long than sawed 0.62 meters of the end how many long is a piece of wood now ?
Answers
Answer:
4.93
Step-by-step explanation:
5.55-0.62=
4.93
the sum of two integers is 81.if the product is 1088.what are the integers
Answers
Answer:
(a;b)={(17; 64); (64; 17)}
Step-by-step explanation:
a+b=81 => b=81-a
a*b=1088
a*(81-a)=1088
-a²+81a=1088
a²-81a+1088=0
a²-64a-17a+1088=0
a(a-64)-17(a-64)=0
(a-17)(a-64)=0
=> a=17 and a=64
for a=17 => b=81-17=64
for a=64 => b=81-64=17
(a;b)={(17; 64); (64; 17)}
The two integers are equal to a = 17 and b = 64.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The two integers are,
a+b=81 => b=81-a
a x b=1088
Calculate the value of one integer,
a x (81-a)=1088
-a²+81a=1088
a²-81a+1088=0
a²-64a-17a+1088=0
a(a-64)-17(a-64)=0
(a-17)(a-64)=0
Calculate the value of the second integer b,
=> a=17 and a=64
for a=17 => b=81-17=64
Therefore, the two integers are equal to a = 17 and b = 64.
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Which is closest to the area of the shaded region in the figure, in
square units?
Answers
Answer:
Where is the picture?
Step-by-step explanation:
Jordan bought 2 bottles of water. If the total cost of the water was $ 4.50, what was the cost of each bottle of water? (Hint- draw a model or diagram that represents this situation.)
Answers
Answer:
2.25 for ONE bottle
Step-by-step explanation:
If you divide 4.50 by 2 the result is 2.25
Examine the diagram of circle P, where diameter CD¯¯¯¯¯¯¯¯ bisects chord AB¯¯¯¯¯¯¯¯ at point N.
Nestor is about to write a proof that CD¯¯¯¯¯¯¯¯⊥AB¯¯¯¯¯¯¯¯.
Which statements are true?
Select all that apply.
m∠APB=90∘
m∠BNP=45∘
m∠BNP=90∘
m∠ANP=90∘
m∠ANP=60∘
m∠APB=30∘
Answers
Answer:
the 3rd on
Step-by-step explanation:
Answer:
m∠BNP=90∘ and m∠ANP=90∘
Step-by-step explanation:
Looking at the diagram these are perpindicular which means they have 90 degree angles.
A rectangular prism has a length 4 1/4 in., a width of 3 in., and height of 1 1/4 in.
which expressions can be used to find the volume of the prism.
Select EACH correct answer.
A.) 1 1/4 (3+4 1/4 )
B.) 4 1/4 times 3 times 1 1/4
C.) 12 3/4 times 1 1/4
D.) 1/2 (12 3/4 times 1 /14)
PLEASE HELP ALL 25 OF MY POINTS
Answers
Answer:
B, C.
Step-by-step explanation:
B, because you're multiplying them all, which is what you would do in the normal formula. You would get 255/16, or 15.9375.
C, since you would also get 255/16.
Please tell me if im wrong! im only a student .m.
The absolute value of three, written as |3|
Answers
Answer:
In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?
PR5T - 47Y6 = 1998
Answer:
Step-by-step explanation:
A painter needs to have 24 gallons of paint that contains 30% solvent how many gallons of paint contain 20% solvent and how many gallons containing 60% solvent?
Answers
Answer:
18 gallons containing 20% solvent and 6 gallons containing 60% solvent
Step-by-step explanation:
the painter needs 24 gallons of paint containing 30% solvent = 7.2 gallons of solvent
let a = 20% solvent paint
let b = 60% solvent paint
a + b = 24
0.2a + 0.6b = 7.2
(replace a = 24 - b in the second equation)
a + b = 24
0.2(24 - b) + 0.6b = 7.2
4.8 - 0.2b + 0.6b = 7.2
0.4b = 7.2 - 4.8 = 2.4
b = 2.4 / 0.4 = 6
a = 24 - 6 = 18
For circle P , find QN if LM = ON = 7.
A.
3.5
B.
7.5
C.
14
D.
21
Answers
Answer:
A
Step-by-step explanation:
You are just going to have to divide the 7 which gives you 3.5
What are the domain, range, and asymptote of h(x) = 6x – 4? domain: {x | x is a real number}; range: {y | y > 4}; asymptote: y = 4 domain: {x | x is a real number}; range: {y | y > –4}; asymptote: y = –4 domain: {x | x > –4}; range: {y | y is a real number}; asymptote: y = 4 domain: {x | x > 4}; range: {y | y is a real number}; asymptote: y = –4
Answers
Answer:
Step-by-step explanation:
The domain of a function is the set for which the function is defined. Our function is the function [tex]h(x) = 6x-4[/tex]. This function is defined regardless of the value of x, so it is defined for every real value of x. That is, it's domain is the set {x|x is a real number}.
The range of the function is the set of all possible values that the function might take, that is {y|y=6x-4}. Recall that every real number y could be written of the form y=6x-4 for a particular x. So the range of the function is the set {y|y is a real number}.
Note that as x gets bigger, the value of 6x-4 gets also bigger, then it doesn't approach any particular number. Note also that as x approaches - infinity, the value of 6x-4 approaches also - infinity. In this case, we don't have any horizontal asymptote. Since the function is defined for every real number, it doesn't have any vertical asymptote. Since h is a linear function, it cannot have any oblique asymptote, then h doesn't have any asymptote.
Answer:
the answer is b
Step-by-step explanation:
Please help it’s urgent
Answers
Answer:
sin theta = opp/ hypotenuse
Step-by-step explanation:
sin theta = opp/ hypotenuse
cos theta = adj/ hypotenuse
tan theta = opp/ adj
In this case we know the opposite and the hypotenuse
A football coach walks 12 meters westward, then 16 meters eastward,
then 22 meters westward, and finally 6 meters eastward.
For this motion, what is the distance moved?
What is the magnitude and direction of the displacement?
Answers
Answer:
Total distance traveled = 56 m
Total displacement is 12 m
Direction of coach is westward
Step-by-step explanation:
It is given that football coach first go 12 meter westward then 16 meter eastward.
So no position of coach in eastward direction = 16 - 12 = 4 m
And then 22 m west westward
Therefore position of coach now is 22-4 = 18 m westward
And finally 6 m eastward
Therefore final position of coach is 18-6= 12 m westward
So displacement of coach is 12 m and direction is westward.
Total distance traveled = 12+16+22+6= 56 m
Answer:
right
Step-by-step explanation:
The local deli sells cheese wheels. Each cheese wheel is a cylinder. The height of the cheese wheel is 2.8 inches and the volume of the cheese wheel is 155.09088 cubic inches. What is the radius of the cheese wheel?
Answers
Answer:
4.2 inches when rounded
Step-by-step explanation:
volume = pi(r²)h
155.09088in³ = pi(r²)2.8
÷2.8 ÷2.8
55.3896 =pi(r²)
÷pi ÷pi
17.6310572718 = (r²)
Then you have to square root both sides (I tried to use the radical symbol but it didnt work, sorry :( )
After you square root it you should get
4.1989352545 = r
Answer:
4.2 inches(rounded)
Step-by-step explanation:
Hope im right :)
