Answer:
When we add two or more whole numbers, their sum is the same regardless of the order of the addends. The sum of both 2 + 4 and 4 + 2 is 6. That means, we can add whole numbers in any order. When three or more numbers are added, the sum is the same regardless of the grouping of the addends.
Step-by-step explanation:
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There are four mathematical properties which involve addition. The properties are the commutative, associative, identity and distributive properties.
Commutative Property: When two numbers are added, the sum is the same regardless of the order of the addends.
For example 4 + 2 = 2 + 4
To remember the commutative property, it might be helpful to think about the word commute which means to switch places between home and work (or home and school). In the example above, you can see the 4 and the 2 commuting or switching places.
Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends.
For example (2 + 3) + 4 = 2 + (3 + 4)
To remember the associative property, it might be helpful to think about the word associate, which as a verb means to interact with a group (maybe you associate with a certain group of friends!). The parentheses are grouping operators, that is, they form groups of numbers and operations. You can see in the example above, the 3 can associate with either the 2 or the 4, but the value of each side is still a total of 9.
Identity Property: The sum of any number and zero is the original number.
For example 5 + 0 = 5.
To remember the identity property, it might be helpful to think of it as a question and answer: What number can I add so that the value is not changed? Zero. In the example above, the 5 gets to keep its identity because adding zero does not change its value.
Distributive Property: The sum of two numbers times a third number is equal to the sum of each addend times the third number.
For example 4 * (6 + 3) = 4*6 + 4*3
The distributive property is the only property that combines multiplication and addition. That makes it very important!
Explain how to write fractions with denominators of 10 and 100 as decimals.
To write fractions with denominators of 10 and 100 as decimals, the position of the zero to the right of the number in the numerator is shifted a number of places left depending on the power of 10 in the denominator
Reason:
Examples of fractions that has 10 and 100 as denominators are;
[tex]\dfrac{9}{10}, \ \dfrac{15}{100}, \ \dfrac{5}{100}[/tex]
The steps to express the above fractions as decimals are;
Place a decimal point to the right to the number in the numerator as follows;
[tex]\dfrac{9.}{10}, \ \dfrac{15.}{100}, \ \dfrac{5.}{100}[/tex]
Move the decimal point to the left a number of places equal to the number of zeros in the denominator
Where the denominator is a 10, the decimal point is moved left one place and place a zero to the left of the decimal point
Where the denominator is a 100, the decimal point is moved left two places, as follows;
[tex]\dfrac{9.}{10} = 0.9, \ \dfrac{15.}{100} = 0.15, \ \dfrac{5.}{100}= 0.05[/tex]
Therefore, the decimal point is moved left depending on the number of zeros or the power of 10 in the denominator
100 = 10² in the denominator (move the decimal point two places left)
10 = 10¹ in the denominator (move the decimal point one place left)
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What value is equivalent to (3^6)^3?
Answer:
1/2 is the simplified fraction for 3/6.
Step-by-step explanation:
im not sure but i think thats it
Answer:
387,420,489
Step-by-step explanation:
First, evaluate what is in the parentheses. This is equivalent to 729. Now take this number, and cube it (or do 729^3). This is equivalent to 387420489.
The ^ symbol means 'to the power of'.
For example, if you want to raise the number 5 to the power of 4, then you would do 5 ^ (to the power of) 4. Also looks like this: [tex]5^{4}[/tex]
The sum of the average amounts spent for veterinary expenses for dogs, cats, and birds in a recent year was $293 The average expenditure per dog exceeded the sum of the averages for cats and birds by $113. The amount spent per cat was times the amount spent per bird. Find the average amount spent on each type of animal.
The question is incomplete:
The sum of the average amounts spent for veterinary expenses for dogs, cats, and birds in a recent year was $293 The average expenditure per dog exceeded the sum of the averages for cats and birds by $113. The amount spent per cat was 9 times the amount spent per bird. Find the average amount spent on each type of animal.
Answer:
The average amount spent in dogs is $203, in cats is $81 and in birds is $9.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y+z=293 (1)
x-y-z=113 (2)
y=9z (3)
You can replace (3) in (1) and (2):
x+9z+z=293
x+10z=293 (4)
x-9z-z=113
x-10z=113 (5)
Now, you have the following equations:
x+10z=293 (4)
x-10z=113 (5)
Then, you can isolate x in (4):
x=293-10z (6)
Next, you can replace (6) in (5):
293-10z-10z=113
293-20z=113
293-113=20z
180=20z
z=180/20
z=9
Now, you can replace the value of z in (6) to find x:
x=293-10z
x=293-10(9)
x=293-90
x=203
Finally, you can replace the value z in (3) to find y:
y=9*(9)
y=81
According to this, the answer is that the average amount spent in dogs is $203, in cats is $81 and in birds is $9.
can someone please help me with this question
Answer:
60 in^3
Step-by-step explanation:
You just multiply the base by the height.
Answer:600
Step-by-step explanation: hope this helps you
Candidate A and Candidate B are running for mayor. A poll was taken to determine which candidate would likely win the election. The poll is accurate within ±5%. Write an absolute value equation to find the maximum and minimum percentage of voters who will vote for Candidate A if 38% of the voters in the poll voted for Candidate A. Let A represent the percent of voters who will vote for Candidate A.
Answer:
[tex]|A-38|=5[/tex]
33% or 43%
Step-by-step explanation:
Given that poll is accurate within [tex]\pm5[/tex].
38% voters have voted for candidate A.
[tex]A[/tex] is the percent of voters who will vote for candidate A.
So, value of A can be 38+5=43%
OR
38-5 = 33%
We will write an absolute function for the above situation.
But, first of all, let us have a look at the definition of Absolute value function.
[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]
The the value of function gives us a negative sign when the value inside the modulus function is negative.
[tex]A-38[/tex] will be negative when [tex]A < 38[/tex] and
[tex]A-38[/tex] will be positive when [tex]A>38[/tex].
This difference is given as [tex]\pm5[/tex].
Therefore, the absolute value function can be written as:
[tex]|A-38|=5[/tex]
Case 1: [tex]A < 38[/tex]
As per definition of modulus function, it will open with a negative sign.
[tex]-A+38=5\Rightarrow A = 33[/tex]
Case 2: [tex]A>38[/tex]
As per definition of modulus function, it will open with a positive sign.
[tex]A-38=5\Rightarrow A = 43[/tex]
Therefore the answer is 33% or 43%
One of the angles formed by two intersecting lines measures 30°. What are the measures of the other three angles? i need help ASAP
Answer: The angles are 30 30, 150, 150
Step-by-step explanation: Two lines intersect means they cross. According to the vertical angle theorem, angles that are across are the same, a line is 180 degrees so it means the angles that make up the supplementary pair add up to 180(180-30=150). So there are 2 150 degree angles and 2 30 degree angles
Answer:
30, 150, 150
Step-by-step explanation:
To make concrete, a person mixes 1 bag of cement to 4 bags of sand. How many bags of cement should be used with 100 bags of sand?
Group of answer choices
The answer would be 25 bags of cement to 100 bags of sand by dividing 100 by 4.
Raja is depositing checks he received and filling out a deposit slip. The two checks he is depositing are for the amounts of $45.92 and $5.78. If he wanted to withdraw $20 at the same time, what amount should be written on the line highlighted by the green arrow?
Answer:
$31.70
Step-by-step explanation:
aPEx
What is the slope of the following equation?
Answer: 2-
Step-by-step explanation:
3.f(-4)-3.g(-2) please
Step-by-step explanation:
3.f(-4)-3.g(-2)
3 [f(-4) - g(-2)]
can someone help me solve this system. thanks
2y = 6
3(x + y) = 12
Answer
y=3 x=1
Step-by-step explanation:
3(x+3)=12
3x+9=12
subtract 9 from both sides to get...
3x=3
divide 3 from both sides to get...
x=1
Step-by-step explanation:
this is very easy
2y=6
y=2/6=3
so ,
3(x+y)=12
3x+3y=12
3x+3+3=12
3x+9=12
3x=12-9
3x=3
x=3/3
x=1
Which number line shows the solution to the inequality –2(3x – 1) < 8? A. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at minus one B. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity C. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at two D. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at two to infinity
Answer:
The correct option is B.
Step-by-step explanation:
The inequality is: -2(3x - 1) < 8.
Solve for x as follows:
-2(3x - 1) < 8
-6x + 2 < 8
-6x < 6
-x < 1
x > -1
The solution for x is in the interval (-1, ∞].
The number line will be:
B. Number lines from minus five by increment of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity
Please help quickly!
Answer:
A
Step-by-step explanation:
You are subtracting 2 from y every step.
Write an equation for each problem. Then solve. Round to the nearest tenth if necessary.
55 is what percent of 100?
Answer:
55%
Step-by-step explanation:
100 is a whole number. Half of 100 is 50 meaning that you have divided 100 by 1/2 or 50%.
55/100 = 55%
Answer: 55%
Step-by-step explanation:
Tickets that cost $88 for a professional women’s championship soccer game are offered at a 15% discount. What is the sale price?
Answer:
$74.80
Step-by-step explanation:
10% = 8.8
5% = 4.4
8.8 + 4.4 = 13.2
88 - 13.2 =$74.80
Account
Does this equation have a single solution, Inhnite solutions, or no solution?
Dashboard
2x + 2x + 2 = 4x + 2
Courses
teolition
Calendar
Inhnite solutions
ne solution
Inbox
Next
Hele
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Answer: Not sure why you copied the text of the website as well, but it has infinite solutions. You get 4x + 2 = 4x + 2, or 0 = 0.
Step-by-step explanation:
Please help! I’ll mark as BRAINLIEST :))
If a conditional statement is true and its converse is also true, could the conditional statement be written in another way?
Step-by-step explanation:
could the conditional statement be written in another way
What is the constant RATIO (how do you you multiply ) of the exponential curve that passes through the points (0, 3) and (5, 96) ?
Answer:
The answer is 1.788
Step-by-step explanation:
2m=-6n-5
Solve for M
m= -3n -5/2
What is mathematical equation?
Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account. An example of an equation is 2+2 = 3+1.
In the given equation,
2m = −6n −5
Divide by 2 on both sides, we get
2m/2 = −6n/2 −5/2
m = -3n - 5/2
Therefore, our value of m is in terms of n, which is -3n - 5/2
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pls respond ,.... 25 points
The answer is B, hope this helped you!
What is the coefficient in the simplified expression?
Answer:
poins lang talaga toStep-by-step explanation:
hahahahahahahahahahahahahahaHelp me please...............
Answer:
Search it up
Step-by-step explanation:
GO ON GOOGLE sorry i couldnt help :(
Which of the following is the best deal per candy bar?
Question 12 options:
5 candy bars for $4.00
4 candy bars for $2.80
10 candy bars for $7.20
2 candy bars for $1.50
QUICKLY PLZZZ
Answer:
the best deal is 4 candy bars for $2.80
Step-by-step explanation:
4/5= 80 cents
2.8/4= 70 cents
7.2/10= 72 cents
1.5/2= 75 cents
the best deal is 4 candy bars for $2.80
sue subtracted 2.9 from 20.9 and got 1.8. Explain why this is not reasonable. Please answer ASPA. I Will give brainliest and do anything.
Answer:
The correct answer would be 18 which means that the decimal is in the wrong spot.
Step-by-step explanation:
A music app charges $2 to download the app plus $1.29 per song download, Identify the rate of change.
Answer: 1.29
Step-by-step explanation: y=1.29x+2
1.29 is the coefficient of X, slope, and the rate of change.
In the figure, ∆BAT ≅ ∆CAT. Which statement is true by CPCTC?
∠ABS ≅ ∠SCT
SB ≅ BC
BT ≅ CT
∠BAT ≅ ∠CTA
Answer:
∠BAT ≅ ∠CTA
Step-by-step explanation:
hzhdyrhfnv
The sides of the triangles which are congruent are BT ≅ CT, the correct option is C.
What is a Triangle?A triangle is a polygon with three sides, three angles and three vertices.
The triangle ∆BAT ≅ ∆CAT.
When two triangles are congruent, the corresponding sides are congruent by CPCTC.
It can be understood from the triangle vertices that AT is common side in both the triangles.
BT is corresponding to CT and so is equal.
It seems that your question is incomplete, the complete question is attached with the answer.
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two plus two plus four??
Answer:
8 lol
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Add from left to right 2+2=4 and then add 4+4 and you get 8
ITS SUPER EASY PLEASE HELP ITS DUE IN AN HOUR PLEASEEEEEEEEEEEEEEEEEE
Answer:
4*(-5) = -20
Step-by-step explanation:
Does 2 times 36 equal 3 times 24
Answer:
Yes
Step-by-step explanation:
[tex]2 * 36 = 72\\ 3 * 24 = 72[/tex]
Answer:
Yes.
Step-by-step explanation:
2 times 36 = 72 and 3 times 24 = 72
Hope this helped! ^-^
Arron can join a gym for $19.99 per month plus an annual fee of $12.80 or he can pay $21.59 per month. He thinks the second option is better because he plans to use the gym for 10 months. Is Aaron correct ? Set up an equation (with variables on both sides) to describe the situation.
Answer: Aaron is wrong. The first option is better as it costs less than the second option.
Step-by-step explanation:
Arron can join a gym for $19.99 per month plus an annual fee of $12.80.
Since Aaron wants to spend 10 months at the gym, this will cost him:
= $12.80 + ($19.99 × 10)
= $12.80 + $199.9
= $212.7
Paying $21.59 for 10 months will be:
= $21.59 × 10
= $215.9
The first option is better as it costs less than the second option.