Answer:
20 + 16 = 36
Step-by-step explanation:
The conjecture: "The sum of two positive even integers is always an odd integer" can be easily be proven false with a counterexample.
Pick A=20 and B=16, both are positive even integers.
The sum of both A + B = 36 is an even integer. This is a counterexample because being even is the contrary of being odd.
Counterexample: 20 + 16 = 36
In fact, the conjecture is always false, since there cannot be found any pair of positive integers whose sum is odd.
Other possible counterexamples are:
10 + 8, 700 + 40, 12 + 14, etc.
what is addition property
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:
there
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!
that doesn't give the answer
Answer:
what doesnt give the answer??
Step-by-step explanation:
need help with a question
Answer:
You need to put the Question to get us to answer it sorry
Step-by-step explanation:
|5x|>-4
Solve the following inequality
Answer:
all numbers
Step-by-step explanation:
|5x|>-4
Absolute values are greater than or equal to zero
This says that our absolute value is greater than a negative number
This is always true so x can be any number, so it has infinite solutions
x is all real numbers
THANKS FOR EVERYBODY HELPING ME I WILL GIVE FREE ROBUX
Answer:
6 times
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
add me on discord fun54658#0871
HELP HELP!!!!
A pair of linear equations is shown: y = −x + 1 y = 2x + 4 Which of the following statements best explains the steps to solve the pair of equations graphically? On a graph, plot the line y = −x + 1, which has y-intercept = −1 and slope = 1, and y = 2x + 4, which has y-intercept = 2 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = 1, and y = 2x + 4, which has y-intercept = 1 and slope = 4, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = −2 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution. On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
Answer:
The last option is correct:
"On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution."
Step-by-step explanation:
We have a pair of equations of lines:
y=-x+1
y=2x+4
The equation of a line can be written as follows:
y=mx+b
Where m is the slope and b is the y-intercept.
Following the form of both lines, we can conclude that:
The first line has slope -1 and y-intercept 1
The second line has slope 2 and y-intercept 4.
To solve the system of equations graphically, we must plot both lines and write the coordinates of the point of intersection of the lines as the solution.
The only option which has all the correct information is the last one:
"On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution."
The fourth option is correct which is : On a graph, plot the line y = −x + 1, which has y-intercept = 1 and slope = −1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of intersection of the two lines as the solution.
For plotting the graph of a line we compare the given equation of the line to the standard equation: y = mx + c
where m = slope of the lie
c = intercept on y- axis
(i) y = -x + 1
comparing with y = mx + c we get,
slope m = -1
y-intercept c = 1
(ii) y = 2x + 4
comparing with y = mx + c we get,
slope m = 2
y-intercept c = 4
Learn more about graph plotting:
https://brainly.com/question/11616742?referrer=searchResults
Kayla wanted to buy a sweatshirt. The original price was $45. When she went to the store the sale price was $37. What is the percent discount on the sale price?
can someone explain how to solve this question.. it would mean a lot to me, thanks :)
Answer:
you would need to cross multiply 37/45 = x/100
Step-by-step explanation:
The first part represents the 37 dollars out of the original 45 and the second part represents x= the unknown percent out of 100 percent.
On Saturday, Kim's softball team will be having a family picnic. Hamburger patties
are sold at the local store with 12 patties in a package. Hamburger buns, however,
are only sold in packages of 9 hamburger buns. Kim's team wants to buy the exact
same number of packages for patties and buns
What is the least number of packages of patties and hamburger buns that Kim's
team should buy to have exactly the same number of patties as hamburger buns? If a
package of hamburger patties cost $4.98 and a package of hamburger buns cost
$2.16, what was the total expense?
Answer:
See below
Step-by-step explanation:
The patties (3 packs)
12x3= 36
The buns (4 packs)
9x4= 36
cost:
3x$4.98= $14.94
4x$2.16= $8.64
Add them to equal the total cost
= $ 23.58
Erica and 4 friends are going out for pizza for dinner. They split one pizza and 5 small drinks. The pizza costs $13.00. They spend a total of $20.50. Find the cost of one small drink. Define the variable, write and solve an equation, and answer the question.
to find the cost of a small drink, you might want to:
subtract the decimalstotal cost : $20.50
cost of pizza :$13.00.
cost of one small drink : total cost - cost of pizza
: $20.50 - $13.00.
: 20.50
- 13.00
: 07. 50
: $ 7.50
Which of the following lines is parallel to x = 4? (2 points)
A.3y = 9
B.y = 4
C.X = 2
D.x=y
Answer:
x = 2
Step-by-step explanation:
x = 4 is the equation of a vertical line parallel to the y- axis
A line parallel to it must also be a vertical line with equation
x = c ( c is a constant )
The only equation of this form is
x = 2 ← parallel to x = 4
Please help! I will give brainliest!
15 points!!!
Answer:
1887
Step-by-step explanation:
[tex]\textrm{substitute }x=-5\textrm{ into the equation:}\\2(-5)^{4}-5(-5)^{3}+(-5)^{2}+3(-5)+2\\=2(625)-5(-125)+25-15+2\\=1887[/tex]
is the table shown proportional
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%
Given h(x)=-2x-5, solve for x when h(x)=9 what is the answer someone help please
Answer:
-7
Step-by-step explanation:
[tex]h(x)=-2x-5\\h(x)=9\\so,\\-2x-5=9\\-2x=9+5\\-2x=14\\x=-7[/tex]
Simply replace h(x) with 9 because it is given in the question that h(x)=9
HELP! Please include the steps you took as I don't fully understand how to do this!
[tex]22x-17=12x+8[/tex]
which will not result in a value of zero?
Answer:
B
Step-by-step explanation:
because 10 and 11 are not equal, therefore, when you add 10 then subtract 11, you will not end up with your original number
Answer:
Deposit $10, then withdraw $11.
Step-by-step explanation:
If you have $10 and you take away $11. You balance a of -1. Which is not zero.
HELPPPPPPPPPPPPPPPPP
Answer:
D
Step-by-step explanation:
:) hard to explain, and takes a LOT of typing I don't really wanna do
please help, i need it done soon
Answer:
Point C i think is: (33/8, 0)
Step-by-step explanation:
I hope this helps -w-
A function f(x) is graphed.
What is the slope of the function?
ma
What is the y-intercept of the function?
b.
Which equatich represents the graph of the function?
Answer:
slope:1/2
y intercept:-1/2
equation of the line: y=1/2x-1/2
Step-by-step explanation:
choose two points from the line( I chose (3,1) and (-1,-1)) and then using y1-y2/x1-x2, do 1 - -1/3 - -1 which is 2/4 simplified to 1/2. the slope is 1/2.
now to find the y intercept, you just have to plug in the numbers from one of the sets of points you chose and your slope using y = mx +b(I will be using the point (-1,-1)). equational look like this: -1=1/2•-1+b
since b is the y intercept, solve for b and you get b= -1/2.
so nowsince you know the slope and the y intercept you just plug it in to the equation
y = mx + b and you get y=1/2x-1/2.
Joe earned $130 one week and $125.50 the next week. After depositing these amounts in his account, he had a total of $335.
How much was already in his account before he deposited the $130 and $125.50?
Answer:
79.50
Step-by-step explanation:
suma 130 mas 125.50 y el resultado de esta se los restas a el total.
Simplify the following expression.
(5^3)^5
Answer:
5 ^15
Step-by-step explanation:
(5 ^3)^5 =5 ^(3×5)=5 ^15
The rule used is (a^b)^c = a^(b*c)
If you raise some exponential expression to another exponent, then you multiply the exponents. You keep the base the same.
In this case, a = 5, b = 3, c = 5.
Using a calculator,
5^15 = 30,517,578,125
But it's likely your teacher will want you to keep the answer in exponential form since it's easier to work with.
In 2010, the continent of South America had a population of 395,280,204 . Which of the following is the closest estimate of this number
do you have answer choices? if so, the answer is whichever number is closest to 395,280,204
Answer:
C. 4x10^8
Step-by-step explanation:
During a sale at the mal, all items were marked down 40% off of the original price. Lily purchased a purse that was originall $220.00. What is the price of the purse after the discount?
Answer:
$132
Step-by-step explanation:
40% off means it is actually 60% of the regular price.
Thus, you will multiply the original (220) by .6 (this means 60 percent)
and you will get 220*.6=132
Answer:
132
Step-by-step explanation:
First, find 40% of 220, which is 88 (220 * 0.4). Since everything was marked down, 40% was taken off the original price. So, 220 - 88 = 132
Miguel completed the division problem below. What is Miguel's error? A.He included a 5 in the quotient, which does not belong. B.He multiplied the divisor by 10 and the dividend by 100. C.He subtracted 208 from 234 incorrectly. D.He multiplied the divisor by 100 and the dividend by 10.
The image of the division problem is missing, so i have attached it.
Answer:
D: He multiplied the divisor by 100 and the dividend by 10.
Step-by-step explanation:
From the image, we can see from the initial values, they are trying to divide 0.52 by 754.
In Mathematics, it means that 0.52 is the divisor while 754 is the dividend.
Now, the next step sees 0.52 changed to 52 while 754 changes to 7540.
Now, 0.52 to 52 means 0.52 was multiplied by 100.
This means that 754 should also be multiplied by 100 to give 75400 in order to retain the original answer that would have been gotten if we had divided 0.52 by 754.
Yet they used 7540.
Thus,the error is that he multiplied the divisor by 100 while he multiplied the dividend by 10.
Answer :
D - He multiplied the divisor by 100 and the dividend by 10.
Round this number to the nearest HUNDREDS place
1 point
5,230
Answer:
5,200
Step-by-step explanation:
Answer:
5,000
Step-by-step explanation: Think back to your elementary days: how did you learn to round numbers? Chances are, your teacher taught the class how to round up or down from the number 5. In other words, if the last number is below five, you might round it down, and if it’s above, it gets rounded up.
In fact, there are a whole plethora of rounding rhymes that can easily be found on the internet. Complete a quick Google search, and you might find something like, “5 and above, give it a shove! 4 and below, let it go!”. While these sayings might seem like a great solution to help kids quickly learn to solve problems, how do children know what place value they are rounding to?
kids with scores
Before the current Common Core or individual state standards were established, mathematics was often taught by encouraging students to memorize facts and learn tricks to complete problems. Rounding is no exception, as many educators have encouraged kids to use rhymes like those described above. Needless to say, it doesn’t teach a child the underlying concept itself.
Below we’ll explore exactly why teaching math tricks don’t work, even if it helps students to arrive at a correct answer. Then, keep reading to discover 7 of the best ways to teach rounding numbers.
Why Getting Answers Correct is Not Enough
As mentioned above, teaching kids tricks or “hacks” to complete math problems can sometimes be helpful, it doesn’t help your child understand the mathematical concept behind the skill. For kids, teaching them to think about the number 5 and round up or down can help them arrive at the right answer, but they aren’t thinking about place value when they use the trick. So, if children are completing a rounding activity, they don’t know if they should round to the nearest ten or hundred. In fact, they might not know why they’re rounding up or down at all!
Provide reasons for the proof.
Given: ∠2≅∠4 and ∠2 and ∠3 are supplementary
Prove: ∠1 ≅∠3
Answer:
See picture below.
Explanation
I took the test and got a 100% on it, so this should be right for any future students.
Which equation represents the graph shown?
A. y+7=-3(x-4)
B. y+1=-3(x+2)
C. y-4=3(x+7)
D. y-2=3(x-1)
Answer: A
Graph cut the horizontal and vertical axis at 2 points A(0;5) and B(1.66666;0)
you calc x=0 in the answer and have y
you can choose A or B. Next, you calc y=0 into A,B. If x=1.6666666, your answer is A
Sorry about my bad english
plz help I will mark you brainlist plz
Answer:
this is hard is this algabra
Plz help :( I don’t understand
PLEASE MARK AS BRAINLIST
Answer:
1. 2x-20+2x-15=13
4x-35=13
4x=13+35
4x=48
x=12
2. x-4+9=2x-4
2x-x= -4+9+4
x=9
3. IJK=41+130=171
4. KJD=88-50=38
Sabrina uses 2 oz of clay to make the
cube shown. She wants to make a
larger cube with an edge length that is
twice as long. How many ounces of
clay does she need to make the larger
cube? Show your work.
PLEASE HELP!!
Answer:
4 because everything is multiplied by 2
Step-by-step explanation:
3.5 × 2 = 7, do the same thing to the amount of oz used to make the cube.
2 × 2 = 4, so 4 oz of clay should be enough. PLZ MARK BRAINLIEST