The set of rational numbers is closed under addition, subtraction, multiplication, and division (division by zero is not defined) because if you complete any of these operations on rational numbers, the solution is always a rational number. -1 and 1.
What is a closed set ?
A Closed Set Math has a way of explaining a lot of things, and one of those explanations is called a closed set.
Closure property holds for addition and multiplication of whole numbers. The sum of any two whole numbers will always be a whole number, i.e. if a and b are any two whole numbers, a + b will be a whole number. The difference between any two whole numbers may or may not be a whole number. Hence, the whole numbers are not closed under subtraction.
According to the given question:
A set is closed under addition if you can add any two numbers in the set and still have a number in the set as a result. A set is closed under (scalar) multiplication if you can multiply any two elements, and the result is still a number in the set.
Learn more about closed under addition and subtraction here ;
https://brainly.com/question/25292125
#SPJ4
Please help if you can
Answer:
6 and 19
Step-by-step explanation:
The least value is the leftmost dot on the box plot, and the greatest value is the rightmost dot on the box plot.
Least value = 6
Greatest value = 19
A cake having a mass of 150g was divided into 2 pieces in the ratio of 3:7. What is the mass of the heavier piece?
Answer:
105g because 3+7=10 and 150÷10= 15 then 15x3=45 and 15x7=105
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
III
Step-by-step explanation:
the answer would be the third one because if you divided the three numbers by 3 then they will be 3,5,4 which is a type of right angled triangle...you can also check it with pythagoras theorm.
Answer:
I and III
Step-by-step explanation:
How to tell if a triangle is a right triangle with given sides : If a and b are measures of the shorter sides of a triangle, c is the measure of the longest side, and c2 = a2 + b2, then the triangle is a right triangle. If c2 ≠ a2 + b2, then the triangle is not a right triangle. let us see some example problems based on the above concept.
To determine if the triangle is a right triangle, we use the Pythagorean theorem to test or see if the data agrees. We do as follows: c² = a² + b². 10² = (5√3)² + 5². 100 = 75 + 25. 100 = 100. Therefore, the triangle with the given measurements is a right triangle.
21² + 21² = 29²
and
9² + 12² = 15²
-3x - 5 = 16
solve for x, thanks.
Which system of equations has the same solutions as the system below? `3x-y=7` `2x+3y=12`
Answer:
the system : 9x-3y =21
2x+3y = 12
Step-by-step explanation:
hello :
an system of equations has the same solutions as the system below
the system 3x-y=7
2x+3y=12
for exempl : 3×(3x-y)=3×7
2x+3y)=12
means :
9x-3y =21
2x+3y = 12
6x - 2y = 14, 2x + 3y - 6 = 6 has the same solution as the system of equations 3x - y = 7, 2x + 3y = 12
What are system of equations?A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.
Given system of equations
3x - y = 7........................(1)
2x + 3y = 12...................(2)
Multiply equation 1 with 2
2(3x - y) = 2 × 7
6x - 2y = 14
Subtract 6 from equation 2
2x + 3y - 6 = 12 - 6
2x + 3y - 6 = 6
So, 6x - 2y = 14, 2x + 3y - 6 = 6 has the same solution as 3x - y = 7,
2x + 3y = 12
Find out more information about system of equations here
https://brainly.com/question/9351049
#SPJ2
What is (-3, -2) reflected over the y-axis
Answer:
3,-2
Step-by-step explanation:
Answer:
(3, -2)
Step-by-step explanation:
[Cartesian plane]
______________
+y
↑
-x ← — | — → +x
(-3,-2) |
↓
-y
______________
[Flipping over the y axis]
-The reflection will be the-
same distance from the y axis
+y
↑
-x ← — | — → +x
(-3,-2) → | → (3, -2)
↓
-y
A cube is made up of squares with sides 3 cm long. What is the surface area of the cube?
9514 1404 393
Answer:
54 cm²
Step-by-step explanation:
Each of the 6 faces of the cube has an area that is ...
A = s² = (3 cm)² = 9 cm²
Then the area of the cube is ...
6 × 9 cm² = 54 cm²
Answer:
Answer:
54 cm²
Step-by-step explanation:
Each of the 6 faces of the cube has has an area that is ...
A= s²=(3cm)²=9cm²Then the area of the cube is ...
6×9cm²= 54cm²Form and solve an equation for .
2x
x+30
Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the angles in the triangle and equate to 180
2x + x + 30 + 90 = 180
3x + 120 = 180 ( subtract 120 from both sides )
3x = 60 ( divide both sides by 3 )
x = 20
A rope 24m long is divided into three pieces in a ratio 1:2:5. The length of the shortest piece in
metre is
Answer:
3 m
Step-by-step explanation:
sum the parts of the ratio, 1 + 2 + 5 = 8 parts
Divide the length by 8 to find the value of one part of the rope
24 m ÷ 8 = 3 m ← value of 1 part of the ratio
Thus the shortest piece is 3 m
The required length of the shortest piece is 3 meters.
Given that,
A rope 24m long is divided into three pieces in a ratio of 1:2:5. The length of the shortest piece in meters is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
let the required proportion is equal to x,
then,
x + 2x + 5x = 24
8x = 24
x = 3
Now the lengths
x = 3 meter
2x = 6 meter
5x = 15 meter
Thus, the required length of the shortest piece is 3 meters.
Learn more about Ratio here:
brainly.com/question/13419413
#SPJ5
find the value of x and y
If your question is as made by me then the solution is given with it . Hope you find it useful.
The realtion of y is alternative angle.
What is the sign of - 4x .y. 06 when X and Y are positive numbers?
Choose 1 answer:
A.Positive
B.Negative
C.Zero
Answer:
Step-by-step explanation: ZERO
I need help :/ can someone help
1.
Solve:
7x = 3x + 24
a) 6
b) 10
I c) 14
d) 4.
2.
Solve:
8W - 8 = -4W + 16
a) 8
b) 16
c) 24
I d) 2. .
(Please help) The expression (x^16)(x^-24) is equivalent to x^n. What is the value of n?
Answer:
8
Step-by-step explanation:
pls help....which of them is it and no link or I will report
Hola me podría alguien ayudar con esto? Muchas gracias!
Answer:
Las respuestas estan a continuacion.
Step-by-step explanation:
Tres mas que un numero = a+3
La diferencia entr eun numero y 5 = a - 5
4 menos que n = 4 - n
Un numero aumenta en 1 = x + 1
Un numero disminuido en 10 = z - 10
El producto de dos numeros = x*y
Dos veces la suma de dos numeros = 2(a+b)
Doce veces un numero sumado a otro = 2a+b
El coceinte de dos numeros = a/b
Un numero aumentado en 3 = x+3
Un numero dismunuido en 2 = a - 2
El producto de m y n = m*n
El antecesor de un numero cualquiera = n - 1
El sucesor de un numero cualquiera = x+1
Espero te haya servido!
Coom somebody help me with this problem, please.*
*brainiest goes to first answer and correct answers
Answer:
A. is 4
B. is 3
C. is 1
D. is 2
How many photovoltaic cells does it take to power a cell phone?
3
6
9
12
Answer: 12
Step-by-step explanation:
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
hi
Step-by-step explanation:
i think so,
if the two corresponding sides of one triangle are congruent to the two corresponding sides of the other triangle, and the remaining angles between them are equal, then these triangles are similar.
Have a nice day
PLZ HELP THIS IS TIMED!
Answer:
630
Step-by-step explanation:
(8×15) + (34×15)= 630
Find the domain and range of the relation: { ( 4 , − 4 ) , ( 3 , − 4 ) , ( 2 , − 4 ) , ( 1 , − 4 ) } . Then determine whether the relation is a function.
Answer:
Domain: [tex]Dom\{f\} = \{1,2,3,4\}[/tex], Range: [tex]Ran\{f\} = \{-4\}[/tex]
The relation is a function.
Step-by-step explanation:
Let be [tex]f[/tex] a relation. The domain of the relation is the set of first components of ordered pairs of the relation, whereas the range of the relation is the set of second components of ordered pairs of the relation. Hence, the domain and range of the relation are, respectively:
[tex]Dom\{f\} = \{1,2,3,4\}[/tex]
[tex]Ran\{f\} = \{-4\}[/tex]
A relation is a function if and only if every element of the domain has only one element of the range. This is the case for this relation, since there is just an element for range.
Solve 24=3r4. The solution is r=
what is the answer for this?
i tried 2 and it says wrong
Answer:
r=1.681793,−1.681793
Step-by-step explanation:
Please answer the problem above
Answer:
area of rectangle : 180 sq ft
area of triangle : 30 sq ft
area of entire composite figure : 210 sq. ft
Step-by-step explanation:
rectangle : 15*12= 180
triangle : 15*4=60 /2 = 30
entire : 180 + 30 = 210
Unit 8 right triangles and trigonometry homework 4
Answer:
don’t click the link
Step-by-step explanation:
hey man i’m struggling to but plz don’t click the links. it hacks your devices
prove the identity tan^2x+6=sec^2x+5
Solve the system of equations by substitution.
x+y= 0
2x+3y= 3
A. (-3,3)
B. (3,-3)
C. (-1,1)
D. (1,-1)
Answer:
the answer is Option A) ( -3, 3)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
( -3, 3)
Name the inequality!
Answer:
2nd one
Step-by-step explanation:
PLEASE HELP!! I'LL GIVE YOU BRAINLIEST !!
Answer:
1 ) a 2) b 3) d 4) b 5) a 6) c
Step-by-step explanation:
Which of the statements about the y-axis are true? I.The y-axis is a vertical number line that passes through the origin.II.The y-axis intersects the x-axis at the point (0 , 0).III.The y-axis is the first coordinate in an ordered pair that describes the vertical distance from the origin.IV.The y-axis is a horizontal number line that passes through the origin.
Answer:
No i does not well it will be 0,5 or any other number but the x wont change
Step-by-step explanation:
The plot shown below displays the number of books
read last month by nine students. What is the
median number of books read last month by these
nine students?
A. 2
B. 1 1/3
C. 1
D. 0
Answer:
D has the most amount of people who haven't even read at all
Step-by-step explanation:
What is the percent of change from 800,000 to 600,000?