The second linear equation will be linearly dependent to the first equation. The graphs of the two linear equation will be parallel to each other.
When two systems of linear equation is given and they do not have a solution that means the first one is depended on the second one or the second equation is depended on the first set of equations.
The system of linear equations that does not posses a solution is called inconsistent form of linear equation where the multiples of the variables are multiples of each other but the constant is completely different.
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The population of a city decreae by 3. 4% per year. What hould we multiply the current population by to find next year' population in one tep?
We should multiply the current population by 0.966.
Now, According to the question:
What is the percentage?
The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
"Information available from the question"
The population of a city decrease by 3. 4% per year.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Then the population after one year is given as
P = (100% - 3.4%) of P₀
P = 99.4% of P₀
P = 0.966P₀
Hence, We should multiply the current population by 0.966.
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PLEASE HELP A small company has one manager and 5 other employees. The manager's salary is 25% of the company's
salary budget. If the company's salary budget is x dollars, which expressions represent the amount of money, in
dollars, from the salary budget that is left for the 5 other employees? Select all correct expressions.
6x -0.25x
5x - 25x
-0.25x
Ox-0.75x
0.25x
0.75x
Using algebraic expression, expressions that represent the amount of money, in dollars, from the salary budget that is left for the 5 other employees are 6x -0.25x and 0.75x.
Which expressions represent the amount of money?The manager’s salary is 25% of the total budget, while the other five employees share the remaining 75%.
The total salary budget is represented by the variable x, so the manager’s salary is 0.25x.
The remaining five employees share 0.75x.
The expressions that represent the amount of money, in dollars, from the salary budget that is left for the five other employees are 0.75x and 6x-0.25x.
0.75x represents the total amount of money available to the five employees, while 6x-0.25x shows the amount of money available to the five employees after the manager’s salary has been subtracted.
The expressions -0.25x, 5x-25x, and 0.25x are not valid representations of the amount of money available to the five other employees, since they do not account for the manager’s salary.
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I don't understand, at the end of the desmos slide, it said that it was wrong when I said s=0 and a=20, even though that is a possible answer. So what is the actual answer?
The solution to the system of equations is given as follows:
(s,-3s+20).
The meaning is that the number of adult tickets purchased was 20 subtracted by the triple of the number of student tickets purchased.
How to solve the system of equations?The system of equations for this problem is defined as follows:
150s + 50a = 1000.a = -3s + 20.Replacing the second equation into the first, the value of s is given as follows:
150s + 50(-3s + 20) = 1000
150s - 150s - 1000 = 1000
0s = 0.
This means that the system has an infinite number of solutions in the following format:
(s,-3s+20).
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a rectangular box has a total surface area of 94 square inches. the sum of the lengths of all its edges is 48 inches. what is the sum of the lengths in inches of all of its interior diagonals? $\textbf{(a)}\ 8\sqrt{3}\qquad\textbf{(b)}\ 10\sqrt{2}\qquad\textbf{(c)}\ 16\sqrt{3}\qquad\textbf{(d)}\ 20\sqrt{2}\qquad\textbf{(e)}\ 40\sqrt{2}$
The correct answer is option (e). The sum of the lengths in inches of all of its interior diagonals is 40√2.
The surface area of a rectangular box can be expressed as 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height of the box, respectively. Since the total surface area is 94 square inches and the sum of the lengths of all its edges is 48 inches, we can write an equation using these variables. Solving for l, w, and h, we find that the length, width, and height are 6, 7, and 4 inches, respectively.
The sum of the lengths of all interior diagonals can then be found using the Pythagorean theorem. The result is,
√(l^2 + w^2 + h^2) = √(6^2 + 7^2 + 4^2)
= √(36 + 49 + 16)
= √101
= 10√2.
The sum of the lengths of all interior diagonals is then equal to 2(10√2) = 40√2.
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1 Find the derivatives of the exponential functions with respect to x: e 4x e^-2θ
Answer:
Step-by-step explanation:
There are 45 animals in a zoo. 40 of them are tigers.
Write this proportion as a percentage.
Give your answer correct to 1 decimal place when appropriate.
Part A Find the value of a in the parallelogram.
a=4
a = 17
a=7/3
a=9
Part B What is m Z
48°
64°
116°
132°
Answer:
a = 17∠Z = 116°Step-by-step explanation:
You want the value of 'a' in a parallelogram with opposite sides marked (a+3) and (2-14). And you want the value of an unmarked angle in the same parallelogram with opposite angles marked (4b-56)° and (2b+4)°.
A. SidesOpposite sides of a parallelogram are congruent, so we have ...
XY = WZ
(a +3) = (2a -14)
17 = a . . . . . . . . . . add 14-a
B. AnglesOpposite angles of a parallelogram are congruent, so we have ...
∠Y = ∠W
(4b -56)° = (2b +4)°
2b = 60 . . . . . . . . . . . . add 56-2b
Then angle W is ...
∠W = (2b +4)° = (60 +4)° = 64°
Angle Z is the supplement of angle W, so its measure is ...
∠Z = 180° -64°
∠Z = 116°
__
Additional comment
Adjacent angles in a parallelogram are supplementary.
The adjacent angles of a parallelogram ( 4x+22) degrees and ( x-42 ) degrees. Find the value of x
Answer:
x = 40
Step-by-step explanation:
the adjacent angles of a parallelogram sum to 180° , then
4x + 22 + x - 42 = 180
5x - 20 = 180 ( add 20 to both sides )
5x = 200 ( divide both sides by 5 )
x = 40
Answer:
Step-by-step explanation: WE KNOW THAT,
THE SUM OF THE ADJACENT ANGLE OF THE PARALLELOGRAM IS 180.
SO 4X+22+X-42=180
5X-20=180
5X=200
X=40
Jayne polled 50 students about their preferred after-school sport, and then recorded the data in the table. Which sport is more popular?
A. Baseball is more popular because 27 students preferred baseball, compared to 2 students who preferred soccer.
B. Baseball is more popular because 11 students preferred baseball, compared to 10 students who preferred soccer.
C. Soccer is more popular because 29 students preferred baseball, compared to 21 students who preferred soccer.
D.Baseball is more popular because 38 students preferred baseball, compared to 12 students who preferred soccer.
Answer:
D. Baseball is more popular because 38 students preferred baseball, compared to 12 students who preferred soccer.
38 is the highest number of students who preferred basketball.
Step-by-step explanation:
The base of a triangle is eight more than twice its height. If the area of the triangle is 55 square centimeters, find its base and height.
Type an exact number, using radicals as needed.
Answer should be simplified
Please help!
The required base and height are 19.68 centimeter, 5.68 centimeter.
What is area of triangle?Use the equation area = 1/2 * base * height to determine a triangle's surface area. Decide which side will serve as the triangle's base, then calculate the triangle's height from that base. After that, enter the height and base measurements you have into the formula.
According to question:Let the height of the triangle is h
Then base can be written as 2h + 8
Area = 55 square centimeters
Now,
Area = bh/2
55 = h(2h + 8)/2
2h² + 8h = 110
2h² + 8h - 110 = 0
On solving it
h = -2 ± 7.68
h = 5.68 centimeter.
Then base of triangle = 2(5.68) + 8
= 11.36 + 8
= 19.68 centimeter.
Thus, required base and height are 19.68 centimeter, 5.68 centimeter.
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there are 36 disks in a bag. some of them are black and the rest are white. two are simultaneously selected at random. given that the probability of selecting two disks of the same colour is equal to the probability of selecting two disks of different colour, how many black disks are there in the bag?
There are 18 black disks in the bag given that the probability of selecting two disks of the same color is equal to the probability of selecting two disks of different colors.
Let's assume there are x black disks in the bag. So there are 36-x white disks.
The probability of selecting two black disks is (x/36)*((x-1)/35).
The probability of selecting two white disks is ((36-x)/36)*((35-x)/35).
And the probability of selecting one black and one white disk is (x/36)*((36-x)/35).
Since the probability of selecting two disks of the same color is equal to the probability of selecting two disks of different colors, we can set these probabilities equal to each other:
(x/36)((x-1)/35) = (36-x)/36)((35-x)/35)
Expanding both sides and simplifying, we get,
[tex]x^2[/tex] - x = 36x - [tex]x^2[/tex]
2[tex]x^2[/tex] = 36x
[tex]x^2[/tex] = 18x
x = 0 or x = 18
Since there must be at least some black disks in the bag, we can conclude that there are 18 black disks in the bag.
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The perimeter of a rectangular lawn i 50 meter. It' 16 meter long how wide i it?
The width of the rectangle is 9 meter.
Now, According to the question:
The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.
Now, Solving the problem:
Perimeter of rectangle is 50 meter sq.
Length of the rectangle(L) is 16 meter.
We have to find the width (W) of the rectangle.
We know that,
Perimeter of rectangle is = 2 (L + W)
50 = 2(16 + W)
50 = 32 + 2W
2W = 50 - 32
2W = 18
W = 18/2
W = 9
Hence, The width of the rectangle is 9 meter.
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how does deviance clarify moral boundaries and affirm norms?
Deviance is a concept that refers to behaviors or actions that are outside of the norms and expectations of a particular society or group. In many ways, deviance clarifies moral boundaries and affirms norms because it helps define what is considered acceptable and unacceptable behavior within a particular community.
When individuals engage in deviant behavior, it draws attention to the fact that there are established norms and expectations for behavior within a society. For example, if someone steals from a store, it is considered deviant behavior because it goes against the norm of honesty and fair dealing. This deviant behavior highlights the fact that there is a norm of honesty and fair dealing in society, and helps to reinforce it. Similarly, when deviant behavior is punished, it sends a message to others in the community that the behavior is unacceptable and reinforces the norm against it. For example, if a person is punished for stealing from a store, it sends a message to others that this behavior is not tolerated and reinforces the norm of honesty and fair dealing.
In conclusion, deviance clarifies moral boundaries and affirms norms because it highlights and reinforces established expectations for behavior within a society. When individuals engage in deviant behavior, it brings attention to these norms and reinforces their importance.
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i have multiple questions; 1)how are colliding plates connected to earth activity? 2)what does stress on a rock look like? 3)how would you demonstrate shearing? (i couldn't find science in the subjects so i put it under mathematics)
Colliding plates are connected to the earth activities through the lithosphere as it is broken up into plates.
Stress on a rock causes the rock to have a different form.
To demonstrate shearing, you have to carry out the experiments that have been explained.
How are colliding plates connected to earth activity?Colliding plates are connected to Earth activity because they are a major part of plate tectonics, which is the study of how the Earth's lithosphere (crust and upper mantle) moves and deforms. The lithosphere is broken up into several large and small plates that are in constant motion, colliding, sliding past, or moving away from one another. These plate movements can cause earthquakes, volcanic eruptions, and the formation of mountain ranges.
Stress on a rock can manifest in several ways, such as deformation, cracking, or breaking. When a rock is subjected to stress, the rock will change shape or size, creating a state of strain. The rock will also develop fractures or cracks, which are called joints. Stress can also cause a rock to break or shatter, which is called a fault or shear.
To demonstrate shearing, one could take a block of clay or putty and apply a force to one side of the block, pushing it in one direction, while holding the opposite side steady. As the clay or putty is pushed, it will begin to deform, the one side will move in relation to the other side and this movement of one side in relation to the other is called shearing. Another way to demonstrate shearing is to take a rectangular piece of paper and apply force on two opposite corners in opposite direction, this will cause the paper to bend and shear.
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what is the distance difference between the two dashes in yards?
For these traditional cooking measurements, there are no specific definitions. The majority of sources, however, claim that a dash is roughly 1/8 of a teaspoon, a pinch is 1/16 of a teaspoon, and a smidgen is 1/32 of a teaspoon.
Now, According to the question:
How many teaspoons is two dashes?For these traditional cooking measurements, there are no specific definitions. The majority of sources, however, claim that a dash is roughly 1/8 of a teaspoon, a pinch is 1/16 of a teaspoon, and a smidgen is 1/32 of a teaspoon.
One tablespoon or less of a soft food, like whipped cream or sour cream, is typically referred to as a "dollop."
Furthermore, a pinch is, as its name suggests, the quantity of an ingredient (such as salt or a dry herb) that you can hold between your thumb and fingers. Additionally, there is a "healthier-sized" pinch that involves your thumb, forefinger, and middle finger, known as a "three-finger pinch." It probably equals between a quarter and an eighth of a teaspoon in terms of volume.
The difference is one of distance...
100 yards = 300 feet
100 meters = 328.0839895 feet
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b. find the probability that a randomly chosen new student who joins the club after receiving the membership material is a woman.
Probability that a randomly chosen new student who joins the club after receiving the membership material is a woman is 0.659
A campus student club distributed material about membership to new students attending an orientation meeting. Of those receiving this material 40% were men and 60% were women. Subsequently, it was found that 7% of the men and 9% of the women who received this material joined the club.
a. Find the probability that a randomly chosen new
student who receives the membership material will join the club.
b. Find the probability that a randomly chosen new student who joins the club after receiving the membership material is a woman.
P men = 0.4
P women = 0.6
P join/men = 0.07
P join /women = 0.09
P join =P men* P join/men + P women*P join /women
P join = 0.4 * 0.07 + 0.6 *0.09
= 0.028 + 0.054
= 0.082
P(women/join)= 0.082/0.6(0.09)
= 41/27 ≈0.659
Probability that a randomly chosen new student who joins the club after receiving the membership material is a woman is 0.659 .
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how many pieces of wood can be cut from a board that is 107/8 feet long is each piece is 227/140 feet long?
The number of pieces of wood that can be cut from the board is 8.
A fraction is a mathematical expression that represents a part of a whole. It is written as two numbers separated by a slash ( / ). The top number, called the numerator, represents the number of parts being considered, and the bottom number, called the denominator, represents the total number of parts in the whole. For example, 1/2 is a fraction that represents one part of a whole that has been divided into two equal parts.
To determine the number of pieces of wood that can be cut from a board that is 107/8 feet long, if each piece is 227/140 feet long, you need to divide the length of the board by the length of each piece.
You can calculate the number of pieces by dividing the length of the board which is 107/ 8 feet by the length of each piece which is 227/ 140 feet:
= 107/ ( 8 * 227/ 140)
= (107/8) * (140/ 227)
= 8.25
= 8
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the maximum number of comparisons that a binary search function will make when searching for a value in a 2,000-element array is: (enter a numeral)
The maximum number of comparisons that a binary search function will make when searching for a value in a 2,000-element array is log₂(2000), which is approximately equal to 11.
The maximum number of comparisons that a binary search function will make when searching for a value in a 2,000-element array can be calculated using the logarithmic time complexity of the binary search.
In a binary search, the array is divided into two halves at each comparison, and the half that contains the target element is selected for the next comparison. This continues until the target element is found or it is determined that the element does not exist in the array.
The maximum number of comparisons can be calculated as the base-2 logarithm of the size of the array, rounded up to the nearest integer. In this case, the size of the array is 2,000 elements, so the maximum number of comparisons is:
log₂(2000) = 10.96...
= 11 comparisons
Therefore, the maximum number of comparisons that a binary search function will make when searching for a value in a 2,000-element array is 11.
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somebody help me graph y=(x-2)^3
The graph of the function is added as an attachment
How to determine the graphFrom the question, we have the following parameters that can be used in our computation:
y=(x-2)^3
The above expression is a cube function that has been transformed/translated from its parent function to the right by 2 units
Next, we plot the graph
See attachment for the graph of the inequality
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Mr and mr garcia are planning to put new crown molding up around the ceiling in their 8ft x 10ft rectangular bedroom. How much molding will they need?
The length of the molding that Mr. and Mrs. Garcia are to place is:
P = 38ft
What is the perimeter?The perimeter is the sum of the sides of a plane figure, when they are straight, and when they are curved it is the sum of the path of those curves.
If we know that the Garcia family's roof is of the following dimensions:
8ft x 10ft, then evidently it is a rectangular ceiling, and the molding they will place will be around it so its length we determine as the perimeter of a rectangle:
Equation:
P = 2x + 2y
x = 8ft
y = 10ft
P = 2(8ft) + 2(10ft)
P = 38ft
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The life of cell batteries is normally distributed with a mean of 68.3 hours and a standard deviation of 18.4 hours. 93% of the batteries will last more than how many hours? (2 decimal places )
The life of cell batteries is normally distributed with a mean of 68.3 hours and a standard deviation of 18.4 hours. 93% of the batteries will last more than 41.15 hours.
A mean = 68.3 hours
A standard deviation(SD) = 18.4 hours
We have to determine 93% of the batteries will last more than how many hours.
P(x > x(1)) = 93%
P(x > x(1)) = 0.93
1 - P(x ≤ x(1)) = 0.93
Now solving
P(x ≤ x(1)) = 0.07
P(z ≤ (x(1) - mean)/SD) = 0.07
P(z ≤ (x(1) - 68.3)/18.4) = 0.07
P(z ≤ (x(1) - 68.3)/18.4) = 0.07
Using the z table
(x(1) - 68.3)/18.4 = -1.4758
Multiply by 18.4 on both side, we get
x(1) - 68.3 = -27.15472
Add 68.3 on both side, we get
x(1) = 41.14528
x(1) = 41.15 hours
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observations of shoplifters in pueblo, colorado, characterized as "72 percent men and 28 percent women, with an average age of 15.4 years" constitutes which type of analysis?
The observations of shoplifters in Pueblo, Colorado, characterized as "72 percent men and 28 percent women, with an average age of 15.4 years" constitutes the type of Analysis called as Descriptive Analysis.
The Descriptive analysis is a type of statistical analysis which involves the summarizing and describing main features of a set of data. This type of analysis is used to provide a general picture of the data and to highlight patterns and relationships in the data.
the data "72 percent men and 28 percent women, with an average age of 15.4 years" describes the gender and age distribution of shoplifters in Pueblo, Colorado. The data provides information on the percentage of men and women who are shoplifters, and the average age of shoplifters in the area. This information can be used to describe the characteristics of shoplifters in Pueblo, Colorado.
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Michelle made an apple pie. She used 1/6 of a tablespoon of cinnamon and 1/12 of a tablespoon of nutmeg. How much more cinnamon than nutmeg did Michelle use?
Answer:
2 times more
Step-by-step explanation:
1/6= 2/12, 1/12*2 = 2/12=1/6 so Michelle used 2 times more cinnamon than nutmeg
Solve the system of linear equations by graphing y=-1/2x+6 and y=1/2x+6
the last term of an arithmetic progression consisting of 12 term is 37 .if the sum of the two middle terms of he progression is 41 then find the arithmetic progression and also the sum of the terms of the arithmetic progression.
Answer: -29, -23, -17, -11, -5, 1, 7, 13, 19, 25, 31, 37
The sum of the terms of the arithmetic progression is 48
Step-by-step explanation:
An arithmetic progression (AP) is a sequence of numbers such that the difference between any two consecutive terms is a constant. The common difference is denoted by d.
Given that the last term of the AP is 37 and there are 12 terms in total, we can use the formula for the nth term of an AP:
an = a1 + (n-1)d
Where a1 is the first term and n is the number of terms.
We know that the last term is 37, so we can substitute in the formula:
37 = a1 + (12-1)d
37 = a1 + 11d
To find the first term, we can subtract 11d from both sides:
a1 = 37 - 11d
The sum of an arithmetic progression is given by the formula:
Sn = n/2(2a1 + (n-1)d)
We know that the sum of the two middle terms is 41, and we can use this information to find the sum of the entire AP:
41 = (12/2)(2a1 + (12-1)d)
41 = 6(2a1 + 11d)
41 = 12a1 + 66d
Now we have two equations with two variables, we can use these equations to solve for the common difference d.
37 = a1 + 11d
41 = 12a1 + 66d
Substitute the first equation into the second equation:
41 = 12(37 - 11d) + 66d
41 = 444 - 132d + 66d
41 = 444 - 66d
Now we can solve for the common difference d:
-66d = -403
d = 6
Now that we know the common difference, we can use it to find the first term:
a1 = 37 - 11d
a1 = 37 - 11(6)
a1 = 37 - 66
a1 = -29
So the arithmetic progression is:
-29, -23, -17, -11, -5, 1, 7, 13, 19, 25, 31, 37
and the sum of the terms of the arithmetic progression is
Sn = 12/2(-29 + 37) = 12/2(8) = 48
The Arithmetic progression is -5, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37 and the sum of the terms of the arithmetic progression is 456.
Let the common difference of the arithmetic progression be d and the first term be a. Then, the 12th term is a + 11d = 37.
The two middle terms of an arithmetic progression with an odd number of terms are the 6th and 7th terms. Thus, the sum of the two middle terms is (a + 5d) + (a + 6d) = 41.
Solving the system of equations:
a + 11d = 37
a + 5d + a + 6d = 41
a = -5, d = 4
So, the arithmetic progression is -5, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37.
To find the sum of the terms, we can use the formula for the sum of an arithmetic series, which is: (n/2)(2a + (n-1)d)
(where n is the number of terms, a is the first term, and d is the common difference.)
So, the sum of the terms is (12/2)(2*-5 + (12-1)4) = 12(-5 + 43) = 12*38 = 456
Therefore, The arithmetic progression is -5, 1, 5, 9, 13, 17, 21, 25, 29, 33, 37 and the sum of the terms of the arithmetic progression is 456.
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twenty-five soldiers standing side-by-side form a row 22.5 m wide. how many soldiers are marching in a parade when there are 40 rows each 8.1 m wide?
The number of soldiers in the parade is given by the equation A = 360 soldiers
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number of soldiers in the parade be represented as A
Now , the proportion will be
The number of soldiers in 22.5 m wide row = 25 soldiers
Now , the length of 1 row = 8.1 m
The length of 40 rows = 40 x 8.1 = 324 m
So , 25 / 22.5 = A / 324 be equation (1)
On simplifying the equation , we get
Multiply by 324 on both sides of the equation , we get
A = ( 25 x 324 ) / 22.5
A = 8100 / 22.5
A = 360 soldiers
Therefore , the value of A is 360 soldiers
Hence , the equation is A = 360 soldiers
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the 52 cards in a deck are numbered 1, 2, $\dots$, 52. alex, blair, corey, and dylan each picks a card from the deck without replacement and with each card being equally likely to be picked. the two persons with lower numbered cards form a team, and the two persons with higher numbered cards form another team. let $p(a)$ be the probability that alex and dylan are on the same team, given that alex picks one of the cards $a$ and $a 9$, and dylan picks the other of these two cards. the minimum value of $p(a)$ for which $p(a) \ge \frac{1}{2}$ can be written as $\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. find $m n$.
The value of m = 1 and n = 50, and the answer is (m.n) = 50
Let's call the cards picked by Alex and Dylan "pair 1".
Since Blair and Corey have to pick cards from the remaining 50, there are 50 * 49 = 2400 ways in which Blair and Corey can pick their cards.
Of these, 48 are such that Blair and Corey have the lower numbered cards and form the first team,
And 48 are such that Blair and Corey have the higher numbered cards and form the second team.
Thus, the probability that Alex and Dylan are on the same team is
p(a) = 48/2400 = 1/50
Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
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Shayna and Kali are selling wrapping paper for a school fundraiser. Customers can buy rolls of
plain wrapping paper and rolls of shiny wrapping paper. Shayna sold 5 rolls of plain wrapping
paper and 3 rolls of shiny wrapping paper for a total of $57. Kali sold 11 rolls of plain wrapping
paper and 3 rolls of shiny wrapping paper for a total of $93. Find the cost each of one roll of
plain wrapping paper and one roll of shiny wrapping paper.
(PLS HELP ASAP!!!!)
Answer:
The cost of plain wrapping paper is $6 and cost of shiny wrapping paper is $9
Step-by-step explanation:
cost of plain wrapping paper = x
cost of shiny wrapping paper = y
so the equation will be:-
5x + 3y = 57
11x + 3y = 93
by subtracting 3y from the equation we get :-
6x = 36
x = 6
5(6) + 3y = 57
30 +3y = 57
3y = 27
y = 9
hence, the cost of plain wrapping paper is $6 and cost of shiny wrapping paper is $9
Need help with my math homework
Answer:
In the assignment, it says to "Look at the Neverbend Residence Floor Plan on page 8", but you didn't attach an image of the floor plan, so none of the questions can be answered. Please create another question, this time attaching the floor plan.
Aviv and Marco were trying to describe parts of the expression \dfrac{5a}{2a+3}
2a+3
5a
start fraction, 5, a, divided by, 2, a, plus, 3, end fraction.
Aviv said, "The entire expression is the quotient of 5a5a5, a and 2a+32a+32, a, plus, 3."
Marco said, "On its
own, 2a+32a+32, a, plus, 3 is a sum with 222 terms."
Who is correct?
Choose 1 answer:
The correct option is D. Both students are correct.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is 5a / 2a+3.
When we divide a number with p with another number q, then the resulting value is the quotient of the division of the two numbers.
Here the two expressions are 5a and 2a + 3.
5a / 2a+3 is actually (5a) ÷ (2a+3).
The value of the entire expression is the quotient. So Aviv is correct.
The expression 2a + 3 has two terms, 2a and 3. So Marco is also correct.
Hence the description of both Aviv and Marco are correct.
To learn more about Expressions, click :
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The complete question is as follows :
Aviv and Marco were trying to describe the parts of the expression 5a/2a+3.
- Aviv said, "The entire expression is the quotient of 5a and 2a+3"
- Marco said, "On it's own, 2a+3 is a sum with 2 terms."
Who is correct?
Choose one answer:
A: Only Aviv
B: Only Marco
C: Neither student is correct
D: Both students are correct
an experiment is to flip a fair coin three times. what is the probability of getting exactly two heads? round to 3 decimal places. answer:
The probability of getting exactly 2 heads if you flip a coin 3 times is 3/8.
Now, According to the question:
Probability : The number of ways of achieving success. the total number of possible outcomes. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .
"Information available from the question"
An experiment is to flip a fair coin three times.
We have to find the probability of getting exactly two heads.
Sample space: {HHH, HTH,THH,TTH, HHT, HTT,THT,TTT}
Total number of possible outcomes=8
Probability of getting exactly two heads is:
P(A) = P(getting two heads)
P(A) = 3/8
Therefore, the probability of getting exactly 2 heads if you flip a coin 3 times is 3/8.
Learn more about Probability at:
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