The division of the whole numbers is not closed under property as the division of whole number is not always a whole number.
A set has the closure property under a particular operation if the result of the operation is always an element in the set. If a set has the closure property under a particular operation then we say that the set is “closed under the operation.” The closure property of the division tells that the result of the division of two whole numbers is not always a whole number. Whole numbers are not closed under division that is a ÷ b is not always a whole number.
For example, 5 and 8 are whole numbers, but 5÷8 is not a whole number.
Therefore, closure property does not exist for division of whole numbers.
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- A rectangle with sides measuring 12 cm x 16 cm has a
diagonal drawn in it. What is the perimeter of each of
the resulting congruent triangles?
Answer:
48cm
Step-by-step explanation:
Given data
Dimension
12cmx16cm
Before we can get the perimeter of the resulting triangles
let us find the length of the diagonal
Diagonal
D^2= 12^2+ 16^2
D^2= 144+256
D^2= 400
D=√400
D=20cm
Hence the diagonal is 20cm
Therefore the perimeter of each triangle is
=12+16+20
=48cm
Guys help me on this which is the correct answer:((
Answer:
A
Step-by-step explanation:
find x.
1. subtract 7 from 23 to get 16. then you dived 16 by -2 which gets you -8 so x is less than -8 :))
2x+8+110=180 or 90 degrees
Answer:
2x+8=180° (being vertically opposite angles)
Step-by-step explanation:
2x+8=110°
or, 2x= 110-8
or, x=102°÷2
: x= 51 answer
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What is the length of side PQ in this figure?
5
P
R
6
3
O A. 4
OB. 14
O C. 52
OD. 161
Reset
Next
Answer:
c. 52
Step-by-step explanation:
since that triangle QRE is a right angle triangle
therefore QE = root 5²_3² = 4 cm " pythagorean "
since triangle PQE is a right angle triangle
therefore PQ= root 4²+6²= 2 root 13 = root 52
The length of side PQ in the figure given in the task content is; 6.48.
What is the length of side PQ?We are required to determine the length of side PQ;
It follows from Pythagoras theorem that;
5² - 3² = (PQ)² - 6²
(PQ)² = 16 + 36
PQ = √42.
PQ = 6.48
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Each onion ring had 45 calories and each slider have 325 calories, a combination meal with onions rings is a total of 920 calories and 3 times as many onion rings as there are sliders, white a system of equation
Answer:
Number of onion rings in the combination = x = 6
Number of sliders in the combination = y = 2
Step-by-step explanation:
At a particular restaurant, each onion ring has 45 calories and each slider has 325 calories. A combination meal with onion rings and sliders is shown to have 920 total calories and 3 times as many onion rings as there are sliders. Write a system of equations that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.
Let
Number of onion rings in the combination = x
Number of sliders in the combination = y
45x + 325y = 920 (1)
3 times as many onion rings as there are sliders
x = 3y (2)
Substitute x = 3y into (1)
45x + 325y = 920
45(3y) + 325y = 920
135y + 325y = 920
460y = 920
y = 920/460
y = 2
Substitute y = 2 into (2)
x = 3y
x = 3(2)
x = 6
Number of onion rings in the combination = x = 6
Number of sliders in the combination = y = 2
What is the area of this tile? 10 in 8 in. 6 in.
Answer:
i think 24
Step-by-step explanation:
1/2 H x B
6 x 8 =48 1/2 is 24
The area of the tile is 24 square in.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The tile is in the shape of right triangle.
The sides of triangle are 10 in, 8 in, 6 in.
Here, Base of the triangle,b = 6 in
Height of the triangle,h = 8 in
The formula of area of triangle is
[tex]Area = \frac{1}{2}(base) (height)[/tex]
⇒ [tex]A=\frac{1}{2}(6)(8)[/tex]
⇒ [tex]A=24[/tex]
Hence we can conclude that the area of the tile is 24 square in.
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Which pictures below show pure substances?
Amy works 15 hours a week at the movie theater. She earns $8 an hour. What statement is true about her weekly income? A) Her net income is more than $120. B) Her gross income is less than $120. C) Her net income is less than $120. D) Her gross income is more than $120.
Answer: Her net income is less than $120.
Step-by-step explanation:
Based on the information given, the gross income for Amy will be:
= 15 × $8
= $120
Net income is the income that an individual has left after tax and every other necessary deductions have been removed. Therefore when this is done, the net income for Amy will be less than $120
Please I need help!! Please anyone that sees this could you please help me. I don't understand it.
9514 1404 393
Answer:
M = (0, 0), which IS the origin
Step-by-step explanation:
The midpoint is given by the formula ...
M = (A + B)/2
M = ((4, -6) +(-4, 6))/2 = (4-4, -6+6)/2 = (0, 0)/2
M = (0, 0) . . . . . IS the origin
How many real solutions will the graph of g(x) = 2x2 - 4x + 7 have?
F
O real solutions
G
1 real solution
H
2 real solutions
J
more than 2 real solutions
Answer: zero real solutions
Step-by-step explanation: constants from equation are a= 2 , b= -4 and c= 7.
Discriminant D= b^2 -4ac = (-4)^2 -4x2x7= 16 - 56 = -40 <0 so there's no solution
For equation g(x)= 0
Please solve no need for explanation
Answer:
I am not sure
Step-by-step explanation:
But I think I know
Answer:
Step-by-step explanation:
n=0
w=3120
i=[tex]\sqrt 2[/tex]
q=[tex]\frac{-6}{7}[/tex]
r=5.123456...
Which of the following inequalities defines the graph below
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Solve the compound inequality and give your answer in interval notation
4x-4 < -36 OR -2x-1 ≤ -7
Answer:
(-∞, -8) U [3, ∞)
Step-by-step explanation:
4x - 4 < -36 OR -2x -1 ≤ -7
4x < -32 OR -2x ≤ -6
x < -8 OR x ≥ 3 *divide by a negative, switch inequality
(-∞, -8) U [3, ∞)
Find the area and thank
Answer:
6 meters
Step-by-step explanation:
This is a right triangle (indicated by the little square in the corner), so it's like half a square. Formula for a right triangle's area is [tex](base*height)[/tex] ÷ 2. So in this situation:
[tex](3*4)=12[/tex] ÷ [tex]2 = 6[/tex]
Step-by-step explanation:
0.5×base×height
Area =1/2×4×3=6
The diagram shows the dimensions of a diving pool 16 ft 25 ft 20 ft so what's the volume of the dividing pool?
A. 61 cubic feet
B. 320 cubic feet
C. 500 cubic feet
D. 1440 cubic feet
E. 8000 cubic feet
PLS HELP
Answer:
8000 cubic feet
Step-by-step explanation:
Volume of the pool = Length * Width * height
Given
Length =16ft
Width = 25ft
Height = 20ft
Substituting into the formula
Volume = 16 * 25 * 20
Volume of the pool = 8000 cubic feet
Solve for r.
1= -10 +r
Answer:
11
Step-by-step explanation:
edge 2020
p.s. pls mark brainliest, and have a good day! :)
Solve 8 = 2^X + 4. (1 point)
a
x = -4
b
x= -1
с
x = 0
d
x= 7
Use the geometric mean to find the value of e
Answer:
suppose,
a=6
b=24
then we know that,
geometric mean (e)=_/ab
=_/6×24
=_/144
=_/(12)^2
=12 Ans
Answer:
12
Step-by-step explanation:
to find the altitude which is e,using geometric mean, you need to :
multiply the two values that are given, which is the value in between JM and the value in between mL
so 6*24 =144
then the square root of the result, which is 144, is the altitude which is e.
so √144 = 12
therefore e=12
Find the new amount.
1. Increase 25 by 24%
2. Increase 120 by 75%
3. Decrease 35 by 60%
4. Decrease 72 by 65%
Lisa is planning to paint her house over the weekend. She paints 1/3 of a room in an hour. How many rooms will she paint in 6 hours? Solve fraction
Answer:
2
Step-by-step explanation:
Lisa paints 1/3 of the room in an hour
Therefore the number of rooms she will paint in 6 hours can be calculated as follows
1 hour= 1/3
6 hours= x
Cross multiply
x= 1/3 ×6
= 2
Hence 2 rooms can be painted in 6 hours
The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric, Find the surface area that will be covered in each color of fabric, Enter your answers in the boxes.
Answer:
I am sorry I would love to help but I can't fiqure it out without the side length.
Step-by-step explanation:
btw i know its not your fault i dont see the width
Mrs. Harris made 37 cookies for a bake sale. She let each of her 3 children have a cookie. She put the rest in baggies with 2 cookies in each bag. Which number sentence can be used to find B, the number of bags of cookies she has for the bake sale?
Answer:
35 PC's baked used has then
A cylindrical tank has a height of 10 feet and a radius of 4 feet. Carla fills the tank with water at a rate of 8 cubic feet per minute. At this rate, how many minutes will it take Carla to completely fill the tank without it overflowing? Round your answer to the nearest minute.
The time it will take for Jane to completely fill the tank without overflowing would be 62.8 minutes.
Used the concept of the volume of the cylinder:
The volume of the cylinder can be determined using the formula,
[tex]V = \pi r^2h[/tex]
Given:
A cylindrical tank has a height of 10 feet.
The radius of the cylindrical tank is 4 feet.
Jane fills the tank with water at a rate of 8 cubic feet per minute.
Since, the volume of the cylinder:
[tex]V = \pi r^2h[/tex]
Substituting the values, we have;
[tex]V = 3.14 \times 4^2 \times 10[/tex]
[tex]V = 502.4 \tex{ feet^3 }[/tex]
Thus, the volume of the cylinder is 502.4 cubic feet.
Time taken:
The time taken can be determined using the formula,
[tex]\text{Time} = \dfrac{\text{Volume}}{\text{Rate of filling}}[/tex]
Substituting the values, we have;
[tex]\text{Time} = \dfrac{\text{502.4}}{\text{8}}[/tex]
[tex]\text{Time} = 62.8[/tex]
Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.
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how to solve this? Is the question correct? ty :)
Answer:
The proposition is true.
Step-by-step explanation:
Now we proceed to demostrate that expression given is true by algebraic means:
1) [tex]\frac{x^{-1}+y^{-1}}{x^{-1}}+\frac{x^{-1}-y^{-1} }{y^{-1}}[/tex] Given
2) [tex]\frac{y^{-1}\cdot (x^{-1}+y^{-1})+x^{-1}\cdot (x^{-1}-y^{-1})}{x^{-1}\cdot y^{-1}}[/tex] [tex]\frac{a}{b} + \frac{c}{d} = \frac{a\cdot d+b\cdot c}{b\cdot d}[/tex]
3) [tex]\frac{x^{-1}\cdot y^{-1}+y^{-2}+x^{-2}-x^{-1}\cdot y^{-1}}{x^{-1}\cdot y^{-1}}[/tex] Distributive property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
4) [tex]\frac{x^{-2}+y^{-2}}{(x\cdot y)^{-1}}[/tex] Commutative, associative and modulative properties/Existence of additive inverse/[tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]
5) [tex][(x\cdot y)^{-1}]^{-1}\cdot (x^{-2}+y^{-2})[/tex] Commutative property/Definition of division
6) [tex](x\cdot y)\cdot (x^{-2}+y^{-2})[/tex] [tex](x^{-1})^{-1}[/tex]
7) [tex]x^{-1}\cdot y + x\cdot y^{-1}[/tex] Distributive property/Associative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
8) [tex](x^{-1}\cdot y^{-1})\cdot y^{2} + (x^{-1}\cdot y^{-1})\cdot x^{2}[/tex] Modulative property/Existence of additive inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
9) [tex](x^{-1}\cdot y^{-1})\cdot (x^{2}+y^{2})[/tex] Distributive property
10) [tex](x\cdot y)^{-1}\cdot (x^{2}+y^{2})[/tex] [tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]
11) [tex]\frac{x^{2}+y^{2}}{x\cdot y}[/tex] Commutative property/Definition of division/Result
To the nearest inch, what is the area of a circle with a radius of 6 centimeters? EZ FREE POINTS
Answer:
36 pi or 113.04 cm squared
Step-by-step explanation:
Answer:
A≈113.1cm²
Step-by-step explanation:
an isosceles triangle has a hypotenuse of 28. how long is a leg?
Answer:
the answer is 14 that's what I got
Find the slope of the line graphed below .
Answer:
the slope would be rise over run
it is shown in the graph it rise 3units and run 2units therefore it's 3/2
what is the slope of this line
Answer:
y=-4
Step-by-step explanation:
i’m bad at decimals help plz
Answer:
<
Step-by-step explanation:
Because 3 < 4
Answer:
its <
Step-by-step explanation:
60.3 is greater than 60.44
If you break it down kinda it would be 60.30 and 60.44 and 44 is greater than 30.