This property tells us that when we change the order of numbers when we are adding, the answer does not change. What property is it?
Answers
There is a property called "Commutative property of addition". This property states that if you have an addition and you change the order of the addends (The numbers you are adding), you will get the same sum.
Let be "a", "b" and "c" the addends and "d" the sum. Then:
\(\begin{gathered} a+b+c=d \\ b+c+a=d \end{gathered}\)For example, applying this property, you know that:
\(\begin{gathered} 1+6+3=10 \\ 3+6+1=10 \end{gathered}\)As you can observe, that answer is always the same.
Therefore, you can conclude that the property is: Commutative property of addition.
Related Questions
pls helppppppppppppppp
Answers
Answer:
B. 57
Step-by-step explanation:
Answer:
57
Step-by-step explanation:
If there are 24 wins and 19 losses, that leaves 9 games in a tie. So, insert each number where it belongs in the equation.
P=2x+y
P=2*24+9
P=57
Abby has $800 in a savings account that earns 3% interest per year. The interest is not
compounded. How much interest will she earn in 4 years?
Use the formula / - prt, where / is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and t is the time in years.
Answers
Answer:
$ 96
Step-by-step explanation:
plug in your values and solve
I = 800 • 0.03 • 4
I = 96
if alpha and beta are the roots of the quadratic equation 3x²-4x+7=0,find alpha/3ß +ß/2alpha
Answers
The solution to the given quadratic equation are:
alpha/3ß +ß/2alpha = -76/63
How to find the solution to the quadratic equation?The general form of expression of a quadratic equation is:
y = ax² + bx + c
The formula to find the solution to the quadratic equation is:
x = [-b ± √(b² - 4ac)]/2a
The quadratic equation is:
-3x² - 4x + 7 = 0
Factorizing this gives:
-3x² + 3x - 7x + 7 = 0
-3x(x - 1) - 7(x - 1) = 0
(-3x - 7) = 0 and (x - 1) = 0
x = -7/3 and x = 1
Let alpha = -7/3 and let β = 1
Thus:
α/3β + β/2α = (-7/3)/(3 * 1) + (1/(-7/3)
= -7/9 - 3/7
= -76/63
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Michael bought a soccer ball for $15. it was 40% off the original price .what fraction represents the amount of the original price he paid
Answers
Answer:
Step-by-step explanation:
6/10 or 3/5
The ages of dogs and cats at an animal shelter are shown. Make a Venn diagram to show the number of animals that are dogs and are more than 8 years old.
Species|Age
dog|8
Cat|9
dog|9
cat|5
dog|12
cat|13
dog|9
cat|6
dog|8
dog|11
dog|5
cat|2
Answers
The number 5 represents the 5 dogs that are more than 8 years old, and the Number 2 represents the 2 cats that are more than 8 years old.
Based on the given data, we can create a Venn diagram to illustrate the number of animals that are dogs and are more than 8 years old.
Let's label two intersecting circles representing dogs and cats respectively. In the region where the circles overlap, we will place the animals that are both dogs and more than 8 years old.
First, let's count the number of dogs that are more than 8 years old. Based on the data, we have the following dogs that fit this criterion:
- Dog: 8 (not more than 8 years old)
- Dog: 9
- Dog: 12
- Dog: 9
- Dog: 11
So, there are a total of 5 dogs that are more than 8 years old.
Now, let's count the number of cats that are more than 8 years old. Based on the data, we have the following cats that fit this criterion:
- Cat: 9
- Cat: 13
So, there are a total of 2 cats that are more than 8 years old.
To create the Venn diagram, we will place the number 5 inside the region representing dogs, and the number 2 inside the region representing cats. The region where the circles overlap will be left empty since there are no animals that are both dogs and cats in this dataset.
The Venn diagram representing the number of animals that are dogs and are more than 8 years old would look as follows:
Dogs
___________
| | |
| 5 | |
|______|______|
Cats
___________
| | |
| | 2 |
|______|______|
In the Venn diagram, the number 5 represents the 5 dogs that are more than 8 years old, and the number 2 represents the 2 cats that are more than 8 years old.
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Alex had brochures printed for their new business venture. Originally he ordered 3 boxes of black-and-white brochures and 4 boxes of color brochures, which cost a total of $145. After those ran out, he spent $117 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Given that the prices didn't change, what was the price of each type of brochure? If you put it in an ordered pair please do it as follows: (Black/White Copies, Color Copies)
Answers
Answer:
Colored: $28
Normal: $11
Step-by-step explanation:
What is the approximate (use 3.14 for pi) volume of this cylinder?
(Diameter is 10 in and height is 12.2 in)
A)383.1 cubic inches
B)957.7 cubic inches
C)122cubic inches
D)3830.8 cubic inches
Answers
Answer: B
V=957.7 cubic inches
Step-by-step explanation:
V=Hxpixr^2
V=12.2x3.14x5^2 r=5 because it is half of the diamter, which is 10.
V=12.2x3.14x25
V=957.7 cubic inches
What is the meaning of "there exists x ∈ S ∖ m. Then m ⊊ m ∪ {x} ∈ X; a contradiction"?
Answers
The statement "there exists x ∈ S ∖ m" means that there exists an element x that belongs to the set S but does not belong to the set m. In other words, x is an element that is present in S but is not present in m.
The phrase "m ⊊ m ∪ {x} ∈ X" states that the set m is a proper subset of the set m ∪ {x}, and this union belongs to the set X. This implies that the set m ∪ {x} contains all the elements of m along with the additional element x.
The phrase "a contradiction" indicates that the statement or assumption being made leads to a logical inconsistency or contradiction. In this context, the contradiction arises from the fact that the assumption that x is not in m contradicts the statement that m ∪ {x} is a proper superset of m.
Overall, the given statement implies that the existence of an element x in S, which is not in m, leads to a contradiction when considering the relationship between m and m ∪ {x}.
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1:1.2 as a fraction pls tell me in one minute
Answers
Hello!
the answer is 83/100!
Hopefully this helps ^^
Write and solve an equation for the word problem below
Chanel is renting a DVR from her cable company. It has a start-up fee of $45 plus $5 per month (m). If Chanel has a budget of $250, how many months
can she rent the DVR?
Answers
Answer:
41
Step-by-step explanation:
250-45=205
205/5=41
A race car traveled for 2 1/2hours with an average speed of 132 5/8 km per hour. Find the total distance it covered.
Answers
Answer: The total distance covered by the car is 331 9/16 km.
Step-by-step explanation:
We know that, speed= distance/time taken
Therefore, distance = speed x time taken
= 132 5/8 x 2 1/2
= 5/2 x 1061/8
= 5305/16
= 331 9/16 km
Therefore, total distance is 331 9/16 km.
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I need help with this math problem
Answers
Step-by-step explanation:
given,
\( log_{7}(4) = 0.712 \\ log_{7}(12) = 1.277 \\ to \: find \: log_{7}( \frac{1}{3} ) \\ log_{7}( \frac{1}{3} ) = log_{7}( \frac{4}{12} ) \\ by \: logarithmic \: result \: log( \frac{a}{b} ) = log(a) - log(b) \\ implies \\ log_{7}( \frac{1}{3} ) \: = log_{7}(4) - log_{7}(12) \\ = 0.712 - 1.277 \\ = −0.565\)
I hope this is the answer.
pls mrk me brainliest, i rly worked hard on this i need to get the next rank
Consider the relationship chart for the a fast-food restaurant,
Assume that the areas required for each department are:
Department Area Required (Square feet)
(CB) 300
(CF) 200
(PS) 200
(DD) 200
(CS) 300
Assume facility dimension of 6 (horizontal) by 8 (vertical) squares, where each square is 5 feet on a side. As a result, for example the CB department requires 12 squares. Develop a layout for the fast-food restaurant.
Answers
The layout of the fast-food restaurant of dimensions 6 by 8 5 feet squares is presented in the attached table created with Sheets.
How can the required layout be found?The dimensions of the facility are;
Horizontal = 6 squares
Vertical = 8 squares
The side length of each square = 5 feet
Therefore;
Area of each square = 5² ft.² = 25 ft.²
Number of squares, n, required by each dependent are therefore;
CB department, n = 300 ÷ 25 = 12 squares
CF department, n = 200 ÷ 25 = 8 squares
PS department, n = 8 squares
DD department, n = 8 squares
CS department, n = 12 squares
A layout for the fast-food restaurant is therefore;
The first three vertical columns of 8 squares each are occupied by the CF, PS, and DD departments. The remaining 3 by 8 squares are occupied by the CB department, (3 by 4 squares), and the CS department, (3 by 4 squares)Please see the attached table layout created using Sheets.
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Determine if the line segment YX is tangent to circle Z. 30 points
Answers
Answer:
XY is tangent to circle Z
Step-by-step explanation:
You want to know if segment XY, measuring 3.6 units, is tangent to circle Z at point X. Segment YZ has length 1.8 units outside the circle, which has radius 2.7 units.
Pythagorean relationIf the triangle XYZ is a right triangle, then we have ...
XY² +XZ² = YZ²
3.6² +2.7² = (1.8 +2.7)²
12.96 +7.29 = 20.25 . . . . . true
Segment XY is a tangent.
Secant relationIf segment YZ is extended across the circle, the lengths of the segments from Y to the circle intersection points are 1.8 and (1.8 +2·2.7) = 7.2. The relation between the secant and the "tangent" will be ...
3.6² = (1.8)(7.2) . . . . . true
This means XY is a tangent.
a rice cooker was sold for $60 after a discount of 60% waht was the usual price of the rice cooker
Answers
Discounted price = $60
Discount = 60%
Let the usual price be x.
So, x - (60% of x) = $60
=> x - [(60/100) × x] = $60
=> x - (60x/100) = $60
=> x - (3x/5) = $60
=> (5x/5) - (3x/5) = $60
=> 2x/5 = $60
=> 2x = $60 × 5
=> 2x = $300
=> x = $300/2
=> x = $150
So, the usual price is $150.
If the image is rotated about the x-axis, which of the following images best represents the result?
A. Y
B. Z
C. X
D. W
Answers
The images best represents the result is image W.
We have, the image is rotated about the x-axis.
Now, rotating around x axis can give the other half of the image.
Also, rotating about x axis gives the mirror image of the figure.
So, the rotation leads to a circle.
and, In three dimensional we can say that Sphere.
Thus, the required image is W.
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Malcolm is driving 1, 273 miles from Wichita to Charleston for a family reunion. He drives 418 miles the first day and 384 miles the second day. Round each distance to the nearest ten and estimate about how many miles Malcolm has left to drive.
400 miles
500 miles
470 miles
480 miles
Answers
Answer:
Step-by-step explanation:
418 to the nearest ten is 420
384 to the nearest ten is 380
1273 to the nearest ten is 1270
1270-(420+380)=1270-800=470 miles
PLEASE ANSWER ASAP LOOK AT THE PICTURE DUE IN 2 SECONDS !!!!!!!!!!!!!!
WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer: its b
Step-by-step explanation:
Answer:
Its B
now the other person can get brainest
A square pyramid has a base with a side length of 7.5 feet and lateral faces with heights of 16 feet. Write an expression that can be used to find the surface area, in square feet, of the square pyramid.
Please provide an expression, not just the surface area please :)
Answers
Check the picture below.
so the surface area of the pyramid will be the sum of the areas of the base and the four triangular faces.
\(\stackrel{\textit{\Large Areas}}{\stackrel{\textit{4 triangular faces}}{4\left[ \cfrac{1}{2}(7.5)(16) \right]}~~ + ~~\stackrel{\textit{rectangular base}}{(7.5)(7.5)}}\implies 240~~ + ~~56.25\implies 296.25~ft^2\)
HELP 65 POINTSS!! Answer BOTH parts of the question by drawing on the following coordinate plane. For each of the transformations, use the ORIGINAL pre-image to make the new image.
(a) Draw the image of ∆PQR after a rotation of 90° clockwise about the origin. Label the image ∆P'Q'R'.
(b) Draw the image of ∆PQR after a reflection across the y-axis. Label the image ∆P''Q''R''.
Answers
Using translation concepts, the transformed triangles are given in the graph at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis, or rotations of a degree measure around the origin.
For this problem, the coordinates of triangle PQR are given as follows:
P(-1,-1), Q(-3,-2), R(-3,-4).
The rule for a 90º clockwise rotation around the origin is given by:
(x,y) -> (y,-x).
Hence the coordinates of triangle P'Q'R' are given by:
P': (-1,-1) -> (-1,1).Q': (-3, -2) -> (-2, 3).R' : (-3, -4) -> (-4, 3).The rule for a reflection over the y-axis is:
(x,y) -> (-x,y).
Hence the coordinates of triangle P''Q''R'' are given by:
P'': (-1,-1) -> (1,-1).Q'': (-3, -2) -> (3, -2).R'' : (-3, -4) -> (3, -4).Both triangles are given in the graph at the end of the answer.
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An ant colony is built by 200 ants. The number of ants triples each week. How many ants will be in the colony at the end of the eighth week?
Answers
N = N0 * 3^t
where N is the final number of ants, N0 is the initial number of ants, 3 is the rate of growth (since the number of ants triples each week), and t is the number of weeks.
We are given that there are initially 200 ants, so N0 = 200. We want to find N at the end of 8 weeks, so t = 8. Substituting these values into the formula, we get:
N = 200 * 3^8
N = 200 * 6561
N = 1,312,200
Therefore, at the end of the eighth week, there will be 1,312,200 ants in the colony.
Oliver did the high jump three times. His scores were 7.016 feet, 5.42 feet, and 8.308 feet. How many feet did he jump in total? pleas help im in test
Answers
The total height of the three jumps is A = 20.744 feet
Given data ,
1st high jump score: 7.016 feet
2nd high jump score: 5.42 feet
3rd high jump score: 8.308 feet
On adding the scores , we get
7.016 + 5.42 + 8.308 = 20.744 feet
On simplifying the equation , we get
A = 20.744 feet
Hence , Oliver jumped a total of 20.744 feet in the three high jumps
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how to solve 5u+27+4u=9
Answers
Given equation is
\(5u+27+4u=9\)Now, we keep all the terms with u in the left hand side and the terms without u in the right hand side. It follows
\(\begin{gathered} 5u+4u=9-27 \\ 9u=-18 \\ u=-2 \end{gathered}\)Hence, the solution is u=-2.
HELP AND NO PEOPLE TELL ME THING I DONT' CARE FOR
Answers
Answer:
103
Step-by-step explanation:
How would we know what you don't care for. We can't read your mind...
Visualize the triangle or draw it out.
The angle bisector means that the angle or side is split in half.
Draw a straight line splitting the angle in half and heading out on both A and B.
As the question said, it should intersect once somewhere.
That angle formed by the intersection is <m and you want the measurement.
If the angles are bisected, the degrees must be halfed.
You half the two angles.
You add the two angles.
There are 180 degrees in a triangle, so you subtract it from 180.
There you go.
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The functions f(x) and g(x) in the table below show Jane's and Mariah's savings respectively, in dollars, after x days. Some values are missing in the table.
x(years) 1 2 3
g(x) = 3x
Jane's savings in dollars 3 9
f(x) = 3x + 3
Mariah's savings in dollars 6 9
Which statement best describes Jane's and Mariah's savings in the long run?
Jane will save more than Mariah.
Mariah will save more than Jane.
The savings will increase by the same factor for both.
The savings will increase by the same percentage for both.
Answers
Answer:
Mariah will save more than Jane.
Step-by-step explanation:
i think
How do I solve this question
Answers
3y+1+56=180
3y+57-57=180-57
3y/3=123/3
Y=41
3.6 is 5% of I need help with all
Answers
Answer: 3.6 is 5% of 72
Step-by-step explanation: If 3.6 is 5% then just multiply 3.6 by 95 to get 68.4 and add to get 72, Yw.
H
6:00 PM
What is a frostbite?
Answers
A kite flying in the air has a 6-ft line attached to it. Its line is pulled taut and casts a 5-ft shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth.
Answers
5/12x6/15=30/180
How do I simplify?
Answers
Answer:
0.167
Step-by-step explanation:
if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6
technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167
that should end up being your answer if i did the math right
Answer:
Step-by-step explanation:
5/12 * 6/15 =30/180
1/6=1/6
which is true, Right-hand side is equal to left-hand side