equivalent addition sentence that illustrates the associative property of addition (5+4)+13=22
Answers
ANSWER:
\(5+(4+13)=22\)STEP-BY-STEP EXPLANATION:
The associative property says that the result of an operation, involving three or more numbers, is independent of the grouping of the numbers.
\((a+b)+c=a+(b+c)\)Therefore:
\(\begin{gathered} \mleft(5+4\mright)+13=22 \\ \text{ we apply the associative property} \\ 5+(4+13)=22 \end{gathered}\)Related Questions
Please help I’ll mark you as brainliest if correct!
Answers
Answer:
(a) Parallelogram
(c) Rhombus
Step-by-step explanation:
You want the names applicable to a quadrilateral with diagonals that bisect each other and bisect the vertex angles.
DiagonalsWhen the diagonals of a quadrilateral bisect each other, that quadrilateral is a parallelogram. With two pairs of parallel sides, the figure cannot be a trapezoid.
When both diagonals bisect the vertex angles, the quadrilateral is a rhombus.
RectangleThe diagonals of a rectangle or square are congruent. The given figure labels the diagonals differently, so we cannot assume they are congruent. Hence the figure is not necessarily a rectangle or square.
The figure shown is a parallelogram that is a rhombus.
__
Additional comment
The figure doesn't have the crossing of diagonals marked as right angles, but they are. Segments 's' and 'x' are each altitudes of their respective isosceles triangles, so they must meet at right angles.
The relations shown in this figure can be used to prove a quadrilateral is a parallelogram and/or rhombus. That can be handy sometimes.
<95141404393>
Superior Segway Tours gives sightseeing tours around Chicago, Illinois. It charges a one-time fee of $40, plus $35 per hour. What is the slope of this situation?
80
65
40
35
Answers
Answer:
d. 35
Step-by-step explanation:
y = 35x + 40
The slope is 35 as 'm' is the slope of the equation
LMK IF IT WAS RIGHT!!
Answer:
D (35)
Step-by-step explanation:
Probability that student was male or got an “B”
Answers
Answer:
3/23 = .13 = 13%
Step-by-step explanation:
Nickâs friend Fred is a big, strong guy. Fred will not allow anyone to harm Nick. Nick enjoys teasing people. In fact, Nickâs marginal benefit (MB) of teasing people is given by: MB (Q)=75- 10Q, where Q is the quantity of people teased. Generally, people do not enjoy Nick teasing them. Thus, they retaliate to Nickâs teasing. Without Fred around to protect Nick from the retaliation, Nickâs marginal cost (MC) of teasing people is MC (Q) = 20Q due to the retaliation. However, with Fred around, Nick perceives his marginal cost of teasing to always be zero as nobody will retaliate with Fred around. This is because Fred will step in to protect Nick from the retaliation.
A - Without Fred around, what is Nickâs choice for teasing?
B - How much does Nick increase teasing when Fredâs around?
C - Is Nickâs behavior characteristic of a moral hazard? Explain why or why not?
Answers
A) Considering marginal benefit and marginal cost, Nickâs will tease 5 people when Fred is not around.
B) Considering marginal benefit and marginal cost, Nickâs will tease 7.5 people when Fred is around.
C) Yes, It is a moral hazard
A) Without Fred around, Nick will choose to tease Q people such that his marginal benefit of teasing equals his marginal cost. In this case, we can set MB(Q) = MC(Q) and solve for Q:
75 - 10Q = 20Q
Solving this equation gives us Q = 5 people.
Therefore, without Fred around, Nick will choose to tease 5 people
B) With Fred around, Nick perceives his marginal cost of teasing to be zero, so he will choose to tease people up to the point where his marginal benefit is zero. In this case, we can set MB(Q) = 0 and solve for Q:
75 - 10Q = 0
Solving this equation gives us Q = 7.5 people.
Therefore, Nick will increase his teasing by 7.5 people when Fred is around.
C) Nick's behavior may be characteristic of a moral hazard. A moral hazard occurs when an individual's actions are not fully aligned with their incentives because the costs or risks of their actions are not fully borne by themselves. In this case, Nick is able to increase his teasing behavior when Fred is around because the costs of retaliation are no longer borne by him. Instead, Fred bears these costs on Nick's behalf. This may lead Nick to engage in more risky or irresponsible behavior (such as teasing more people) than he would otherwise, as he does not fully bear the consequences of his actions.
Learn more about marginal benefit, marginal cost, and moral hazard at
https://brainly.com/question/7781429?referrer=searchResults
#SPJ4
A man bought two pencils and three biros at a cost of 50, Again he bought three pencils and four biros for 70. find the cost of a pencil and a biro
Answers
From the first statement, we can write:
2x + 3y = 50 ...(1)
Similarly, from the second statement, we can write:
3x + 4y = 70 ...(2)
We now have two equations with two unknowns. We can solve for x and y using elimination or substitution method. Let's use the elimination method:
Multiplying equation (1) by 3 and subtracting it from equation (2) multiplied by 2, we get:
(2)(3x + 4y) - (3)(2x + 3y) = (70)(2) - (50)(3)
Simplifying, we get:
2x + 5y = 40 ...(3)
Now we have two equations with two unknowns:
2x + 3y = 50 ...(1)
2x + 5y = 40 ...(3)
Subtracting equation (1) from equation (3), we get:
2y = -10
Therefore, y = -5
Substituting y = -5 in equation (1), we get:
2x + 3(-5) = 50
Simplifying, we get:
2x = 65
Therefore, x = 32.5
Hence, the cost of a pencil is 32.5 cents and the cost of a biro is -5 cents.
However, it is not possible for the cost of a biro to be negative, so there must be an error in the calculations or in the problem statement. Please check the numbers and the problem statement again.
a hiking path is represented by the equation y=3/8x on a coordinate map. The county would like to create a parallel path for bikers. If the new path goes through the point (16,7), whats the equation of the bike path?
Answers
Answer:
The equation of the bike path on a coordinate map is represented by \(y = \frac{3}{8}\cdot x +1\).
Step-by-step explanation:
From Analytical Geometry, we know that resultant parallel line is a translated version of parent line. Two lines are parallel to each other when they share the same slope. The resultant line can be construted from slope-point form:
\(y-y_{o} = m_{\parallel}\cdot (x-x_{o})\)
Where:
\(x_{o}\), \(y_{o}\) - Components of known point, dimensionless.
\(m_{\parallel}\) - Slope of the parallel line, dimensionless.
In addition, a line has also this form:
\(y = m\cdot x + b\)
Where:
\(x\) - Independent variable, dimensionless.
\(y\) - Dependent variable, dimensionless.
\(m\) - Slope, dimensionless.
\(b\) - y-Intercept, dimensionless.
Given that parent function is \(y = \frac{3}{8}\cdot x\), the slope of the resulting line is \(m_{\parallel} = \frac{3}{8}\). Now, if \(x_{o} = 16\) and \(y_{o} = 7\), we obtain the equation of the line:
\(y-7 = \frac{3}{8}\cdot (x-16)\)
\(y = \frac{3}{8}\cdot x +1\)
The equation of the bike path on a coordinate map is represented by \(y = \frac{3}{8}\cdot x +1\).
Answer:y=3/8x +1
Step-by-step explanation:
Please, I need help with part b!
Answers
The distance PQ cannot be expressed as k√5, where k is a rational number given that PQ = √18
Calculating dy/dx and the distance PQTo find dy/dx, we can use implicit differentiation:
4xy = 2(x² + 4y²) - 9x
Differentiating both sides with respect to x, we get:
4y + 4xy' = 4x + 8yy' - 9
Simplifying and solving for y', we get:
y' = (4x - 4y - 9)/(4x - 16y)
Hence, dy/dx = (4x - 4y - 9)/(4x - 16y).
At point P, the tangent to the curve is parallel to the y-axis.
This means that dx/dy = 0 at P.
We can find the coordinates of P by solving the following equations simultaneously
4xy = 2(x² + 4y²) - 9x
dx/dy = 0
From 4xy = 2(x² + 4y²) - 9x, we have:
4xy + 9x = 2(x² + 4y²)
Dividing both sides by x², we get:
4y/x + 9/x = 2 + 4y²/x²
Since dx/dy = 0, we have:
dy/dx = 0
Using the formula for dy/dx that we derived in part (a), we get:
(4x - 4y - 9)/(4x - 16y) = 0
Solving for y, we get:
y = (4x - 9)/4
Substituting this into 4xy = 2(x² + 4y²) - 9x, we get:
4x * (4x - 9)/4 = 2(x² + 4[(4x - 9)/4]²) - 9x
Simplifying and solving for x, we get:
x = 9/2 and 3/2
Substituting these values of x into y = (4x - 9)/4, we get the coordinates of P:
y = 9/4 and y = -3/4
This means that
P(9/2, 9/4) and P(3/2, -3/4)
At point Q, the tangent to the curve is parallel to the x-axis.
This means that dy/dx = 0 at Q.
Using the formula for dy/dx that we derived in part (a), we get:
(4x - 4y - 9)/(4x - 16y) = 0
Solving for x, we get:
x = (4y + 9)/4
Substituting this into 4xy = 2(x² + 4y²) - 9x, we get:
4 * [(4y + 9)/4] * y = 2([(4y + 9)/4]² + 4y²) - 9 * (4y + 9)/4
Simplifying and solving for y, we get:
y = -3/4, 9/4
Substituting these values of y into x = (4y + 9)/4, we get the coordinates of Q:
x = 3/2 and x = 9/2
This means that
Q(3/2, -3/4) and Q(9/2, 9/4)
Using the distance formula, we can find the distance PQ:
PQ = √[(9/2 - 3/2)² + (9/4 + 3/4)²] or √[(3/2 - 9/2)² + (-3/4 - 9/4)²]
Simplifying, we
PQ = √18 or √18
So, we have
PQ = √18
This gives
k√5 = √18
So, we have
k = √18/√5
Evaluate
k = √3.6
√3.6 is not a rational number
Hence, the distance PQ cannot be expressed as k√5
Read more about line of tangent at
https://brainly.com/question/7252502
#SPJ1
Can someone help me?
Answers
Answer:
The graph cannot represent a proportional relationship
Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form. In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin (0,0) . That means, ----> The x-intercept and the y-intercept of the line must to be the origin (0,0).
If the given line passes through the point (0,5), then the line does not pass through the origin. Therefore, the graph cannot represent a proportional relationship
PLEASE I NEED HELP ASAP!
Answers
Answer:A
Step-by-step explanation:
because for every 1 added to X it adds 2 to Y
a coffee supplier finds that it cost $850 to roast and package 100 pounds of coffee in a day and $2850 to produce 500 pounds of coffee in a day. assume that the cost function is linear. express the cost as a function of the number of pounds of coffee they produce each day
Answers
Answer:
f(x) = 5x + 350
Step-by-step explanation:
Create 2 points using the information given, where x is the number of pounds of coffee and y is the cost.
The 2 points are (100, 850) and (500, 2850)
Then, use rise over run to find the slope:
(y2 - y1) / (x2 - x1)
(2850 - 850) / (500 - 100)
2000 / 400
= 5
Then, plug in the slope and a point into y = mx + b to find b:
y = mx + b
850 = 5(100) + b
850 = 500 + b
350 = b
Plug in the slope and y intercept into y = mx + b to get the equation:
y = 5x + 350
Put it into function form:
f(x) = 5x + 350 is the cost function
What is a simple definition of a prism?
Answers
Step-by-step explanation:
a transparent solid body, often having triangular bases, used for dispersing light into a spectrum or for reflecting rays of light. Geometry. a solid having bases or ends that are parallel, congruent polygons and sides that are parallelograms.
Answer:
transparent solid body, often having triangular bases, used for dispersing light into a spectrum or for reflecting rays of light. Geometry. a solid having bases or ends that are parallel, congruent polygons and sides that are parallelograms.
Step-by-step explanation:
Please help me solve and show my work
Answers
The degree measure of the angles are;
1. 5π/3 = 300°
2 3π/4 = 135°
3. 5π/6 = 150°
4. -3π/2 = 90°
What is degree and radian?A degree is a unit of measurement which is used to measure circles, spheres, and angles while a radian is also a unit of measurement which is used to measure angles.
A circle has 360 degrees which are its full area while its radian is only half of it which is 180 degrees or one pi radian.
therefore π = 180°
1. 5π/ 3 = 5×180/3 = 300°
2. 3π/4 = 3× 180/4 = 540/4 = 135°
3. 5π/6 = 5×180/6 = 150°
4. - 3π/2 = -3 × 180/2 = -270° = 90°
learn more about degree and radian from
https://brainly.com/question/22689613
#SPJ1
B(-5, -7) t(10, 17) m(-5, -10) v(5, 6)
Answers
Answer:
They are parallel
Step-by-step explanation:
Not sure what the question is exactly, but BT and MV are parallel.
Someone help me please
Answers
Answer:
x=6.4
Step-by-step explanation:
4^2+5^2=x^2
x=6.40
The cost of 4kg of Apple and 6kg of orange is Rs620.If the cost of orange is the same as the cost of 5 kg Apple find the cost of per kg of Apple and orange?
Answers
Answer:
The apple cost RS 18.24 per kg, while
the orange cost RS 91.18 per kg.
Step-by-step explanation:
Let the cost of 1kg if apple and orange be RS A and RS O respectively.
From the first line:
4A +6O= 620
2A +3O= 310 -----(1) (÷2 throughout)
From the information given in second line:
O= 5A -----(2)
subst. (2) into (1):
2A +3(5A)= 310
2A +15A= 310 (expand)
17A= 310 (simplify)
A= 310 ÷17 (÷17 on both sides)
A= 18.235 (5 s.f.)
A= 18.24 (2 d.p.)
Subst. into (2):
O= 5(18.235)
O= 91.18 (2 d.p.)
A service station charges $251 for four
new tires and installation. If the
installation portion of the bill is $84,
what is the price of one tire? Write and
solve an equation.
Answers
167/4= 41.75
$41.75
Answer:
$41.75
Step-by-step explanation:
$251-84=167
167 divided by 4 is $41.75
Hope this helps! :)
I have 6 yard of ribbon i want to make ornaments that use 1/4 yard each how many ornaments can I make
Answers
Answer:
24
Step-by-step explanation:
It take 4 to make one yard and you need six yards soo..
6 x 4 = 24
Answer:
24 ornaments
Step-by-step explanation:
\(\frac{1}{4} = 25%\)%
6 yards x 0.25 = 1.5 yards
\(\frac{6}{0.25} = 24\) ornaments
to check:
24 ornaments x 0.25 yards each = 6 yards in total
When adding 32.6 to a certain number, the sum is 36.14, as seen below. What number should go in the box to complete the addition problem? 3
Answers
The unknown number which is added to the number 32.6 will be 3.54.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that when adding 32.6 to a certain number, the sum is 36.14. The unknown number will be calculated as,
32.6 + N = 36.14
N = 36.14 - 32.6
N = 3.54
Therefore, the unknown number which is added to the number 32.6 will be 3.54.
To know more about an expression follow
https://brainly.com/question/20460526
#SPJ1
mariana and her children went into a movie theater that sells bags of popcorn for $6 each and candies for $4 each. mariana has $80 to spend and must buy at least 16 bags of popcorn and candies altogether. if a represents the number of bags of popcorn purchased and y represents the number of candies purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answers
One possible solution from the graph(attached at the end of the solution) is selling 9 bags of popcorn and 5 bags of candies.
As per the given data:
The number of popcorn bags is x
The number of candies is y
The cost of each popcorn bag is $7
The cost of each candy is $4
She has $80 to spend on them
Inequality is the nonequal comparison of two or more variables and numbers.
So the first inequality is
7 x + 4 y ≤ 80
Since she must buy no less than 16 bags of popcorn and candies
The second inequality is
x + y ≥ 16
The red area represents the 1st inequality
The blue area represents the 2nd inequality
The solutions lie in the common part of red and blue colors
One possible solution is ordered pair (9,5)
(Graph attached at the end of solution)
For more questions on inequalities
https://brainly.com/question/19558343
#SPJ4
What is the maximum of f(x)=sin(x)
Answers
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
https://brainly.com/question/21902442
https://brainly.com/question/29529184
https://brainly.com/question/23214084
6x + y = 8
y= -6x + 8
Answers
Answer:
y = -6x + 8
Step-by-step explanation:
\begin{bmatrix}6x+y=8\\ y=-6x+8\end{bmatrix}
I don't know why it came out like this
help asapppp....thanks
Answers
Answer:
a) -8x^3 + x^2 + 6x
b)16x^2 -9
c) 24x^4 + 37x^3 +13x^2 -18x
Step-by-step explanation:
a) distribute -2x to x and 4x^2 then do the same for the other part and then add the ones w the same exponent.
b) do foil ( multiply first outside inside last) which will be 4x times 4x then 4x times 3 then -3 times 4x and 3 times -3. add like exponents
c) do the same as above
Kareem has bought 24 pounds of dog food. He feeds his dog 2/3 pounds for each meal. For how many meals will the food last?
Answers
Answer:
Hot dogs- 4 packs (9 times 4 = 36)
Buns - 3 packs (12 times 3 = 36)
Step-by-step explanation:
OLEASE HELP
Which number produces a rational number when added to 1/2
A. 5.38516480...
Β. π
c. √ 10
D. 0.22
Answers
Answer:
i donot know appp lado app
In analyzing a line graph, why is slope important?
a The slope should be negative,
C. The spacing for each axis must be chosen
so that the line reflects a positive slope,
b. The slope of the line reflects the actual d. The slope of a line is not important in
trend of the data,
analyzing a line graph,
Please select the best answer from the choices provided
B
O O O O
С
D
Mark this and retum
Save and Exit
Next
Submit
Answers
Answer:
The slope of the line reflects the actual d.
from the given graph: state it's
a) amplitude
b) period
c) function of the graph:
Answers
Step-by-step explanation:
The amplitude is 2. Amplitude means height from the x-axis to the crest/trough.
The period is 2pi. It is from crest to crest (next crest) or trough to trough (next trough).
Note that crest are the highest points of a wave, and that troughs are the lowest points of a wave. (we are talking about transverse waves, but this is more of a physics thing).
Function of graph:
By playing around in a graphing calculator, I got the equation to be
2 (cos (x + pi/2)).
the 2 changes the amplitude, and the + pi/2 shifts the graph by pi/2 to the left.
What would the 10th case look like?
Answers
The sequence of the number of circles indicates that for the 10th case, the number of circles are; 111 circles on the lower left and 111 circles on the top right
Please find attached a drawing of the pattern for the 10th case, created with MS Word
What is a sequence?A sequence is an orderly arrangement of values or objects following a specified pattern.
The first pattern indicates that the number of circles in the first column on the left are 2. The number of circles located in the second row from the left side are 3
The second pattern indicates that the number of circles in the first column on the left are 3. The number of circles located in the second row from the left side are 4
The sequence of pattern in the nth case is therefore;
The number of circles in the first column on the left in the nth case are n + 1. The number of circles located in the second row from the left side are n + 2, and the number of squares circles between the column on the left and the row of circles on the top are n each, which indicates;
The number of circles in the first column on the left in the 10th case are 10 + 1 = 11. The number of circles located in the second row from the left side are 10 + 2 = 12
The dimensions of the square of circles to the left of the first column and above which the horizontal row of circles at the top are located are each 10 units wide and 10 units in height
Please find attached the drawing of case 10 creates with MS Word
Learn more on number sequences here: https://brainly.com/question/29284306
#SPJ1
Can someone help me with this math problem asap
Answers
The absolute value function for this problem is given as follows:
y = |x - 4| - 6.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
The coordinates of the vertex of the function are given as follows:
(4, -6).
The slope of 1 determines the leading coefficient a as follows:
a = 1.
Hence the function is given as follows:
y = |x - 4| - 6.
More can be learned about absolute value functions at brainly.com/question/3381225
#SPJ1
Lucky Lauto is a game of chance in which each time you play, you must win or lose. If the P(winning in Lucky Lauto) = 0.008 %, then the t P(losing in Lucky Lauto) = [A] % QUESTION 22 [A] gives the ratio of the number of ways to succeed to the total number of ways that an experiment can happen.
Answers
The ratio of losing to the total number of possible outcomes is 99.992:100, or 12499:12500.
In the game of Lucky Lauto, the probability of winning is 0.008%, which means that the probability of losing is 100% - 0.008% = 99.992%. This is the complement of the probability of winning, as the two probabilities must add up to 100%.
The ratio of the number of ways to succeed to the total number of ways that an experiment can happen is given by the probability of success. In this case, the probability of winning is 0.008%, so the ratio of winning to the total number of possible outcomes is 0.008:100, or 1:12500.
Similarly, the ratio of losing to the total number of possible outcomes is 99.992:100, or 12499:12500.
In conclusion, the probability of losing in Lucky Lauto is 99.992%, and the ratio of losing to the total number of possible outcomes is 12499:12500.
Learn more about
brainly.com/question/30034780
#spj11
PLS HELP ME I CANT DO IT
What is the area of the shaded face of this cylinder?
Give your answer to the nearest whole number and give the correct units.
26 mm
Answers
Answer:
7.635
Step-by-step explanation: