The required equation that is a representation of the associative property of addition is 5 + (6 + 2) = (5 + 6) + 2
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the equation that represents the associative property of addition?The expression is given as
-15 + 0
The associative property of addition states that
(x + y) + z = x + (y + z)
This means that
(x + y) + z = x + (y + z) is a representation of the associative property of addition
From the list of given options, we have
5 + (6 + 2) = (5 + 6) + 2
The above is a perfect illustration of (x + y) + z = x + (y + z)
So, 5 + (6 + 2) = (5 + 6) + 2 is a representation of the associative property of addition
Hence, the required equation that is a representation of the associative property of addition is 5 + (6 + 2) = (5 + 6) + 2
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Answer:
5 + (6 + 2) = (5 + 6) + 2
Step-by-step explanation:
Is f(x)=x^2 a polynomial function?
Explain your answer
Answer:
For example, f(x)=2 is a constant function and f(x)=2x + 1 is a linear function. It is important to notice that the graphs of constant functions and linear functions are always straight lines. We have already said that a quadratic function is a polynomial of degree 2
Step-by-step explanation:
What is the reciprocal of 1 3/4 as a fraction
Answer:
4/7
Step-by-step explanation:
[tex]1 \frac{3}{4}=\frac{7}{4}[/tex]
So, the reciprocal is 4/7.
19, 18, 23, 24, 31, 32, 16 In which stem does most of the data fall?
The stems that the data fall are 1,2, and 3.
Using a stems and leaf plot, each data value in a series is represented by the stem as the first digit (digits) and the leaf as the last digit (digits).
Since all of the data values in the provided table contain two digits, we must locate the highest and smallest number at the tenth position in the data series in order to plot stems.
The Data series is:
19, 18, 23, 24, 31, 32, 16
The smallest number in tenth place = 1
The largest number at tenth place = 3
So the stems used to plot the data are 1, 2, and 3.
Stem-leaf plot is shown in table 1 below:
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Need help ASAP!!
At the beginning of a snowstorm, Hassan had 2 inches of snow on his lawn. The snow then began to fall at a constant rate of 2.5 inches per hour. Assuming no snow was melting, how much snow would Hassan have on his lawn 5 hours after the snow began to fall? How much snow would Hassan have on his lawn after t hours of snow falling?
Answer:
14.5 inches of snow, S=T(H)+B
Step-by-step explanation:
This question is a linear equation. First, we will extract the important numbers
amount of snow at beginning=2
snow falling per hour=2.5
trying to find how much snow has fallen after 5 hours.
First, lets put this into an equation, variables will go as follows
total amount of snow=S
hours=H
snow at beginning=B
Rate of snow fall=T
Now, we make an equation
S=T(H)+B
Now, substitute the variables out
S=2.5(5)+2
Then, solve
S=12.5+2
S=14.5
For the second question, just put the equation you made as the answer
is 2 to the negative 3rd power rational
Answer:
-8
Step-by-step explanation:
Yes, it is rational. It's an integer.
Use compatible numbers to estimate the whole number quotients 5320/61?
The whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.
What is the best estimate of the whole number quotients of the expression; 5320/61 as given in the task content?It follows from the task content that the use of compatible numbers is to be used to estimate the whole number quotients 5320/61.
On this note, since the numbers can be written as follows;
= (53.2 × 100)/(0.61 × 100)
= 53.2/0.61
The estimate can therefore be determined by evaluating;
= 53/0.6
= 88 remainder 1.
Therefore, the closest estimate of the whole number quotients 5320/61 as given in the task content is; 88.
Ultimately, the whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.
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The sum of an integer and 3 times the next consecutive integer is -29. Find the value
of the lesser integer.
Answer:
[tex]x = -8[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the integer, then the consecutive integer is [tex]x + 1[/tex]. "3 times the next consecutive integer" means we should multiply [tex]x + 1[/tex] (the consecutive integer) by 3, giving us [tex]3 ( x + 1)[/tex].
We are told that the sum of [tex]x[/tex] and [tex]3(x + 1)[/tex] gives -29. Therefore, we can build an equation.
The sum of [tex]x[/tex] and [tex]3(x + 1)[/tex] can be expressed as [tex]x + 3(x + 1)[/tex].
Therefore,
[tex]x + 3(x + 1) = -29 \text{ // Distribute 3(x + 1)}\\x + 3 \times x + 3 \times 1 = -29\\\to x + 3x + 3 = -29 \text{ // Simplify}\\\to 4x + 3 = -29 \text{ // Subtract 3 from both sides}\\4x + 3 - 3 = -29 - 3\\\to 4x = -32 \text{ // Divide by 4 on both sides}\\\frac{4x}4 = -\frac{32}4\\\to x = -8[/tex]
The question is in the screenshot
Answer:
The limit is equal to 0.
Step-by-step explanation:
f(x) will approach a much larger value than g(x) as x approaches infinity, meaning the fraction will approach 0.
60 divided by the sum of 5 and 2
Answer: 3.75
Step-by-step explanation:
60/(5+11)
60/16
3.75
Pls help I’m not sure what this is.
Singer A and Singer B had the two top-grossing concert tours for a certain year, together generating $443 million in ticket sales. If Singer B took in $29 million less than Singer A, how much did each tour generate?
If Singer B took in $29 million less than Singer A, it means that Singer A generates $236 million and singer B generates $207 million in tickets sale
How much does singer A takes in ticket sales?
The fact that singer B generated $29 million less than singer A means that if singer A generates x million , singer B would generate (x-29) million in tickets sales
singers A's earnings=x
singer B's earnings=x-29
total earnings=x+x-29
total earnings=2x-29
total earnings=443
443=2x-29
443+29=2x
472=2x
x=472/2
x=236
singer B's earnings=236-29
singer B's earnings=207
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Write a linear equation in standard form that satisfies the given set of conditions. passes through (4, –1) and (8, 3)
The linear equation in standard form that satisfies the given conditions is
x - y = -5
Given,
Points that the line passes through:
(x₁, y₁) = (4, -1)
(x₂, y₂) = (8, 3)
Let's find the slope of the line,
m = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex] = [tex]\frac{3-(-1)}{8-4}[/tex] = [tex]\frac{3+1}{4}[/tex] = [tex]\frac{4}{4}[/tex] = 1
Now, we can write the equation in point slope form:
y - y₁ = m(x - x₁)
y - (-1) = 1(x - 4)
y + 1 = x - 4
Add -1 to both sides.
y + 1 - 1 = x - 4 - 1
y = x - 5
Now, let's convert this to standard form.
Ax + By = C
Here,
y = x - 5
Add +5 to both sides.
y + 5 = x - 5 + 5
y + 5 = x
x - y = -5
Now the equation is in standard form.
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Select the correct answer from each drop-down menu.
You can measure the ____ between points A and B by using ____ as zero.
First blank
1-positive distance
2-negative distance
3-positive or negative distance
Second blank
1-only point b
2-only point A
3-either point
You can measure the 1-positive distance between points A and B by using 3-either point as zero.
What is the distance?Distance means a distance magnitude or a direction vector.
Distance between points A and B is a distance magnitude, which can never be negative because it is the amount of space between the two points. It does not take into account the direction of the displacement.
The distance between points A and B shows the size of the displacement. The distance will remain the same whether measured from point A or from point B.
Thus, measuring the points between A and B can start from any of the points, and the measured distance is always positive.
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A. she should find the squares of numbers between 7.4 and 7.5
Answer:
she should estimate that 42 is 6.50. D. she should find the squares of numbers between 6.4 and 6.5
There are 20 kids at Jacob's halloween party. 1/2 of the kids are in superhero costumes. 1/4 of the kids are witches or wizards. The rest are pirates. How many pirates are at the party?
Answer:
Total number of kids = 20
1/2 are in super hero costumes
= 1/2×20
= 10
1/4 are witches or wizards
= 1/4 ×20
= 5
Pirates= 20 - (10 + 5)
= 20 - 15
= 5
Which equation represents a line which is parallel to the line ?3x+4y=-4?
A : Y=4/3 x +6
B: Y=4/3 x +8
C: y=3/4x-3
D: Y = -3/4x +7
View the image below and solve.
What is a variable? And when a question asks “What variable is plotted along the X axis and Y axis?” what do i say.
A variable is a term used to express the unknown value or quantity.
A variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. It is used when we do not know the actual value of the number or the quantity.
For example: let x denote the number of hours taken by Sam to complete his work.
When we have to plot the variables on x- axis and y- axis, we see that which variables are independent variables and which of them are dependent variables.
The independent variables that are not influenced by the other factors that are given are plotted on the x- axis and the dependent variable which changes due to the change in independent variable are plotted on the y- axis.
Therefore, a variable is a term used to express the unknown value or quantity.
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turn sentence into an equation: eight times the sum of a number and 6 equals 4. hurry pleas!
The sum of a number is 92 which is not equal to 4.
8(N+6) = 4
N+6 = 4/8
N=1/2-6
=11/2
plug that into the original equation to check the solution
8(11/2 + 6) = 4
8(23/2) = 4
8 x23/2 = 4
92 = 4, which is not equal to 4.
An equation is simply a number sentence with a variable in the place of an unknown value. A variable is a letter that is substituted in place of the unknown value. It can be any letter you want, although x or n is most commonly used.There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.
The term “linear”, though derived from the idea that a linear equation in two variables represents a line, has been generalized from that to mean that the equation involves a polynomial with degree 1. That is, the variable(s) are only multiplied by constants and added to other terms, with nothing more (squaring, etc.)
A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line
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NEED YOUR HELP WITH THIS!!
Answer:
the tenth term is 100: 10,20,30,40,50,60,70,80,90,100
the fourth term is 12: 4,6,8,12
the third term is 1/2: 1/8,1/4,1/2
i really don't know how to explain. i don't know if i am correct but i tried
Find an ordered pair that satisfies the equation 3x + y = 11.
Answer:
(1, 8)
many possible answers
Step-by-step explanation:
to find an ordered pair to satisfy the equation means to find x and y to make the equation true
we can start off by putting x as 1
3(1) + y = 11
3 + y = 11
then subtract 3 to both sides
y = 8
you must put them in (x, y) form
so
(1, 8) is one of many possible answers
Avery has put $150 each month into a savings account that earns 2.99% interest for the last 20 years. The balance at the end of 20 years is $34,019. Calculate and compare the amount that Avery contributed to the amount of interest earned in a meaningful sentence.
1. The amount that Avery contributed at the end of 20 years was $36,000.
2. Since the balance at the end of 20 years was $34,019, which is less than Avery's total contribution of $36,000, Avery withdrew both the interest earned and portions of the contributions during the period.
How is the future value determined?The future value is the value of the monthly deposits compounded at the interest rate.
The future value can be determined using an online finance calculator as follows.
Data and Calculations:Monthly deposits = $150
Interest rate = 2.99%
Period = 240 months (20 years x 12)
Balance at the end of 20 years = $34,019
Sum of all monthly contributions = $36,000 (240 x $150)
Total Interest = $13,191.54
Future Value = $49,191.54 ($36,000 + $13,191.54)
Actual value after 20 years = $34,019.00
End-of-Period Withdrawals = $15,172.54 ($49,191.54 - $34,019.00)
Thus, the amount Avery contributed for 20 years was $36,000.
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7 ft
12 ft
6 ft...
Find the area of the figure above.
[?] square feet
Answer:
105
Step-by-step explanation:
The rectangle is 84 and the triangle is 21.
84 + 21 = 105
Answer:
105
Step-by-step explanation:
84 + 21 = 105
Which equation has no solution?
6x - 9 = 9x- 6
6 - (2x + 3) = -4 (x + 1) + 7
6x + 8 = 3 (2x + 4)
-3 + 4x = 13
Answer: Option C. 6x+8=3(2x+4)
Step-by-step explanation:
Solution = S
No Solution = NS
( S ) A. 6x - 9 = 9x - 6
6x - 9 + 9 = 9x - 6 + 9
6x = 9x + 3
6x - 9x = 9x + 3 - 9x
-3x = 3
-3x/-3 = 3/-3
x = -1( S ) B. 6 - (2x+3) = -4 (x + 1 ) + 7
6 - (2x+3)
6 - 2x - 3
-2x + 3
-2x + 3 = -4x + 3
-2x + 3 - 3 = -4x + 3 - 3
-2x = -4x
-2x + 4x = -4x +4x
2x = 0
2x/2 = 0/2
x = 0( NS ) C. 6x + 8 = 3 (2x +4)
6x + 8 = 6x + 12
6x + 8 - 8 = 6x + 12 - 8
6x = 6x + 4
6x - 6x = 6x + 4 - 6x
0 = 4
The sides aren't equal; there is no solution( S ) D. -3 + 4x = 13
-3 + 4x + 3 = 13 + 3
4x = 16
4x/4 = 16/4
x = 4If (x + 2)2 = 49, then x + 2 = 7 True O False
please help will give lots of points
Answer:
what is x
Step-by-step explanation:
what is x then ill know
A wall is 3 yards and 10 inches
long. What is the length of the
wall in inches?
Answer:
118 inches
Step-by-step explanation:
This is a conversion problem, so first we will need to change the yards to inches
3y=(3ft/1y)=9ft
9ft=(12in/1ft)=108in
add the 108 inches to the 10 inches
118 inches length
Hannah makes $8.75 per hour. She works 30 hours per week. Find:
a. Her weekly pay
b. Her monthly pay
c. Her yearly pay
can someone explain this?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Hannah makes $8.75 per hour.
If she works 30 hours per week then
So, her weekly pay
=30*8.75
=262.5
Then her monthly pay
=4* 262.5
=1050
Then the yearly pay would be
=12* 1050
= 12600
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4.3 + 5 3/5 can you help me
Answer:
Step-by-step explanation:
4.3 +5 3/5
4 30/100+ 5 3/5
4 3/10 + 5 3/5
4 3/10 + 5 6/10
9 9/10
Does this help if you have any questions about this question or others I’d be happy to help
A reporter counts the number of times a politician talks about jobs in their campaign speeches in the dot plot?
A) 1.1 mentions B) 2 mentions C) 2.5 mentions D) 5.5 mentions
The MAD is the 5.5 mentions if the reporter counts the number of times a politician talks about jobs in their campaign speeches in the dot plot.
What is a dot plot?A dot plot also referred to as a dot chart or stripe graph, is a sort of simple histogram-like figure used in statistics for little data sets with values falling into a number of discrete bins.
It is given that:
A reporter counts the number of times a politician talks about jobs in their campaign speeches in the dot plot.
From the graph:
The MAD of the data:
= [(3+4+7+8) + 3(5+6)]/(4 + 2x3)
After simplification:
= 55/10
= 5.5 mentions
Thus, the MAD is the 5.5 mentions if the reporter counts the number of times a politician talks about jobs in their campaign speeches in the dot plot.
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