The system of the equation that represents the situation is 5x + 10y = 1750, (1/3)x + (1/2)y = 100, and the number of short-sleeved shirts that were ordered is 150 and long-sleeved is 100.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
The selling price of long-sleeved shirts for $10 each.
The selling price of short-sleeved shirts for $5 each.
Now,
5x + 10y = 1750
\(\rm \dfrac{1}{3}x+\dfrac{1}{2}y=100\)
After solving both equations:
x = 150
y = 100
Thus, the system of the equation that represents the situation is 5x + 10y = 1750, (1/3)x + (1/2)y = 100, and the number of short-sleeved shirts that were ordered is 150 and long-sleeved is 100.
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Analyze the diagram below and complete the instructions that follow.
Find the value of x.
Answer: I believe the answer is C.
Step-by-step explanation: In special case isosceles right triangles the hypotenuse is always equal to a · √2. With a=5√2 we can set up the equation 5√2 · √2 = 10.
25/26 to the hundredth’s placed??
5. A softball has a diameter of 8. 3 in. How many softballs will fit inside of a storage unit 4 that is 15 feet wide, 10 feet long, and 5 feet high?
4366 softballs will fit inside of a storage.
What is volume ?
A measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected.
The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape. The calculation is unaffected by how you refer to the various dimensions; for instance, you can use "depth" instead of "height."
Diameter of softball = 8.3 in
Radius of softball = 4.15 in
= 0.345 ft
Volume of sphere = 4/3 π r³
= 4/3 π (0.345)³
= 4/3 * 0.1289
= 0.1718
Volume of cuboid = l * b * h
= 15 * 10 * 5
= 750
Number of softballs that can fit inside the storage = 750 / 0.1718
= 4366
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Which graph shows how to graph a line with a slope of 3 and y intercept of -2
The equation for a straight line has the conventional form y = mx + b, where m is the slope and b is the y-intercept. Since m and b's values are known,
y = 3x-2
The Slope Intercept Form Equation is what?
Using a straight line's slope and the location of its y-axis intersection, the slope intercept equation can be used to determine the general equation of the line. Y = mx + b is the equation in slope intercept form.
We therefore begin at the y-intercept (0,-2). It is known as a rise/run slope. As 3 = 3/1, we move up 3 and to the right to (1,1). The following tally is (4, 2), etc.
Remember that -3/-1 also equals 3, so if you have a graph with all four quadrants, you can move down 3 and left 1 to (-5, -1) and then again to (-8, -2), etc.
A straight line should pass through the points once you have graphed at least three of them.
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What is the symbol of proportional?
The symbol for proportionality is "∝". It is read as "is proportional to" or "varies in proportion to".
Proportionality is a mathematical concept that describes the relationship between two quantities. When two quantities are proportional, it means that they have a constant ratio. For example, the distance traveled by a car is proportional to the time it takes to travel that distance. This means that if the time taken to travel doubles, then the distance traveled also doubles.
In mathematics, we use the symbol "∝" to represent proportionality. This symbol is read as "is proportional to" or "varies in proportion to". So, if we say that A ∝ B, it means that A is proportional to B. This implies that if B increases or decreases, then A also increases or decreases, but the ratio of A to B remains constant.
The concept of proportionality is used in various mathematical fields, such as algebra, geometry, and physics. It is a powerful tool for solving problems that involve relationships between quantities, and it is widely used in real-world applications, such as in engineering, economics, and statistics.
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BJ = 2x + 1
BF = y + 1
AG = 2y - 3 = ? feet
BG = 6x - 2.5 = ? feet
Answer:
Is there anything else to this question cause it's confusing and I would help you but if there is more information
Step-by-step explanation:
suppose that the slope parameter in a simple linear regression model is β1 = 3.52. what does this suggest about the nature of the relationship between x and y?
A slope parameter of β1 = 3.52 in a simple linear regression model suggests that there is a positive and direct relationship between the independent variable (x) and the dependent variable (y).
Specifically, for every one unit increase in the independent variable (x), the dependent variable (y) is expected to increase by an average of 3.52 units. This indicates a positive linear association between x and y, implying that as x increases, y tends to increase as well.
The magnitude of the slope parameter (3.52) also indicates the steepness of the relationship. A larger slope suggests a stronger relationship, indicating that the change in y for a given change in x is relatively large.
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Please help me I'm stuck. I will give 30 points for this one. Given triangle ABC tilde triangle PQR and your scale factor Complete the hotspots for these similar triangles and show work
The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:
(1). angle B = 68°
(2). PQ = 5cm
(3). BC = 19.5cm
(4). area of ∆PQR = 30cm²
What are similar trianglesSimilar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.
(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}
angle B = 68°
Given that the triangle ∆ABC is similar to the triangle ∆PQR.
(2). PQ/7.5cm = 12cm/18cm
PQ = (12cm × 7.5cm)/18cm {cross multiplication}
PQ = 5cm
(3). 13cm/BC = 12cm/18cm
BC = (13cm × 18cm)/12cm {cross multiplication}
BC = 19.5cm
(4). area of ∆PQR = 1/2 × 12cm × 5cm
area of ∆PQR = 6cm × 5cm
area of ∆PQR = 30cm²
Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:
(1). angle B = 68°
(2). PQ = 5cm
(3). BC = 19.5cm
(4). area of ∆PQR = 30cm²
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Answer:
what is this? ahdhdjxkdjjshsysusiiaiajsjjdyxc
Question: Which three dimensional figure results from rotating the triangle 360° about AC?A. coneB. cylinderC. pyramidD. sphere
Given data:
The given triangle ABC.
When the given triangle is rotated about AC, the given figure obtained is cone.
Thus, option (A) is correct.
Find the values of p for which each integral converges. 2 a. dx x(In x)P a. For what values of p will complete your choice. OA. P> OB. P= OC. p< 1 b. 00 2 dx x(In x)P dx x(In x)P converge? Select the
The given question is related to Integral calculus. Therefore, the integral converges for all p ≤ 0. Hence, the correct option is p ≤ 0.
Let's evaluate each part of the question separately.
Integral: ∫(x ln x)^p dx
To determine the values of p for which the integral converges, we use the following steps:
Apply the substitution u = ln x to simplify the integral.
Substitute x = e^u and dx = e^u du.
The integral becomes:∫e^pu^p e^u du
= ∫u^p e^(pu) du
For the integral to converge, the exponent in the exponential function must be negative or zero.
Therefore, p < 0 or p = 0. Thus, the answer is p ≤ 0.
Integral: ∫(x ln x)^p dx
From part (a), we know that the integral converges when p ≤ 0.
Therefore, to determine if the integral converges for the given value of p, we evaluate the limit of the integral as x approaches 0.Limit as x approaches 0:
lim x→0 x ln(x)^pln x is equal to 0 as x approaches 0.
Therefore, the limit of the integral becomes:
lim x→0 x ln(x)^p= 0Therefore, the integral converges for all p ≤ 0. Hence, the correct option is p ≤ 0.
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The expression for the nth term of a sequence is 5n^2
work out the third term in this sequence
Answer:45
Step-by-step explanation:
5n²
5(3)²
5(9)
∴ The third term in the sequence 5n² is 45
PLEASE HELP QUICK :) multiple choice.
Which of the following functions has a factor of x + 9 ?
A: f (x) = x^3 - 8x^2 - 11x + 18
B: f (x) = x^3 + 10x^2 + 7x - 27
C: f (x) x^3 + 10x^2 + 7x - 18
D: f (x) = x^3 - 8x^2 - 11x + 27
Answer:
C. f(x) = x³ + 10x² + 7x - 18Step-by-step explanation:
If the function has a factor of x + 9, then the function will have a zero output at x = -9
Lets verify:
A. f(-9) = (-9)³ - 8*(-9)² - 11*(-9) + 18 = -1260, NoB. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 27 = -9, NoC. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 18 = 0, YesD. f(-9) = (-9)³ - 8*(-9)² + 11*(-9) + 27 = -1449, NoCan someone answer this for e pleaseeeee
Answer: 220
Step-by-step explanation:
Find the value of m.
28
3
35°
| | (1 d.p.)
The value of the base in the given triangle is 22.96.
What is a triangle?Three edges and three vertices make up the three sides of a triangle, which is a three-sided polygon in geometry. The fact that a triangle's internal angles can be added up to equal 180 degrees is its most significant characteristic. Triangle's angle sum property is what this characteristic is known as.
We have given to find m, we will use cosine rule
cos ∅ = base/hypotenuse
Here ∅ = 35°
Base = m
Hypotenuse = 28
lets substitute the values and we get,
⇒ cos 35° = m/28
⇒ m = cos 35° × 28
⇒ m = 0.82 × 28 ( cos 35° = 0.82)
⇒ m = 22.96
Thus, the value of the base in the given triangle is 22.96.
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Write the inverse of the given conditional statement
Answer:
If I live in South Carolina then I live in Charleston
Step-by-step explanation:
Just switch them
Find the length of the third side. If necessary, write in simplest radical form.
6
√11
The third side of the right angle triangle is 5 units.
How to find the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the side of the right triangle can be found using Pythagoras's theorem as follows:
c² = a² + b²
where
c = hypotenusea and b are the other legsTherefore, using Pythagoras's theorem,
6² - (√11)² = b²
36 - 11 = b²
b² = 25
square root both sides of the equation
b = √25
b = 5 units
Therefore.
third side = 5 units.
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Find the sum of the first 36 terms of the arithmetic sequence. 18, 26, 34, 42, ... ... What is the sum of the first 36 terms?
The sum of the first 36 terms of the arithmetic sequence 18, 26, 34, 42, and so on, is 5688.
To find the sum of the first 36 terms of an arithmetic sequence, we can use a formula derived specifically for this purpose. The formula is:
Sum = (n/2) * (2a + (n - 1)d)
Where:
Sum represents the sum of the terms,
n is the number of terms in the sequence (in this case, 36),
a is the first term in the sequence (18 in this case),
and d is the common difference between the terms (which we need to determine).
To find the common difference (d), we can observe the given sequence. In this case, we can see that the common difference is 8. By subtracting any term from the term before it, we get the common difference: 26 - 18 = 8, 34 - 26 = 8, and so on.
Now we have all the information we need to calculate the sum of the first 36 terms:
Sum = (36/2) * (2 * 18 + (36 - 1) * 8)
Simplifying this expression step by step:
Sum = (18) * (2 * 18 + 35 * 8)
= 18 * (36 + 280)
= 18 * 316
= 5688
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#2
Please helppp
Extra 100 points
Answer:
Step-by-step explanation:
C looks good
If 8n + 25 = 65, then n is
a. 5.
648.
less than
of 45 is
b. 10.
C. 40.
8n + 25 = 65
8n = 65 - 25
8n = 40
8n/ 8 =40/8
n = 5..
firstly I made 8n the subject of the formula by taking 25 to the other side which gives u 8n = 65 - 25and the reason why the sign changed chnged os because when send a number to the other side the sign changes and then i divided both sides by 8
What is the product of 3x 4/5
Answer:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x4" was replaced by "x^4".
STEP1:
x4 Simplify —— 5
Equation at the end of step1:
x4 3 • —— 5
STEP2:
Final result :
3x4 ——— 5
Kelsey went bowling. It cost her a one-time fee of $3.50 to rent shoes, and $6.50 per game she played. She does not want to spend more than $23.00. Write an inequality that could be used to determine how many games she can afford to play. Use "g" for the number of games. NO
SPACES.
$6.50g+$3.50=$23.00
Solve the system of linear equations. x+y+z+w = 4 -2x-5y+3z+3w = 19
-4x+3z-5w = -27
x+y-2z-w= -3
a. (5.-4, 2, 1)
b. (5.-4, 1, 2)
c. (2, 5, 5, 1) d.(-4, 5, 1, 2) e. (1, 2, 5,-4)
The solution to the system of linear equations is (5, -4, 2, 1), which corresponds to option (a). This solution satisfies all four equations given in the system.
To obtain this solution, we can solve the system of equations using various methods such as substitution, elimination, or matrix operations. Here, we'll use the method of elimination to find the values of x, y, z, and w.
First, let's rewrite the system of equations:
Equation 1: x + y + z + w = 4
Equation 2: -2x - 5y + 3z + 3w = 19
Equation 3: -4x + 3z - 5w = -27
Equation 4: x + y - 2z - w = -3
To eliminate variables, we'll perform row operations on the augmented matrix representing the system. After applying the row operations, we obtain the following row-echelon form:
[ 1 0 0 0 | 5 ]
[ 0 1 0 0 |-4 ]
[ 0 0 1 0 | 2 ]
[ 0 0 0 1 | 1 ]
From this row-echelon form, we can read off the solution for x, y, z, and w. Therefore, the solution is x = 5, y = -4, z = 2, and w = 1.
In summary, the system of linear equations is solved by obtaining the values x = 5, y = -4, z = 2, and w = 1, which matches option (a). These values satisfy all four equations in the system, and they are derived by using the method of elimination on the augmented matrix of the system.
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The length is 4cm and the width is 6cm and has a semi circle what is the area
Answer:
The area of a rectangle with length 4 cm and width 6 cm is 24 square cm. To find the area of a semi-circle, we use the formula for the area of a circle and divide by 2. The formula for the area of a circle is πr^2, where r is the radius. The radius of the semi-circle is half the width of the rectangle, so r = 6/2 = 3 cm. Thus, the area of the semi-circle is π(3^2) = 9π square cm.
The total area of the figure would be the sum of the area of the rectangle and the semi-circle, so the answer would be 24 + 9π square cm.
explain clearly why we cannot have the combination of a yes to practical significance, and a no to statistical significance.
It is not possible for a study to have practical significance without statistical significance because statistical significance provides evidence that the observed effect is unlikely to have occurred by chance.
The Practical significance and statistical significance are two different concepts that are often used in hypothesis testing.
The Statistical significance refers to the probability that the observed results of a study occurred by chance, given a particular level of significance or alpha.
The Practical significance refers to whether the observed effect size is large enough to be meaningful in a real-world context.
It is possible for a study to have statistical significance without practical significance. For example, a study may find a statistically significant difference between two groups, but the difference may be so small that it is not meaningful in practice.
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Aman is graduating from college and looking forward to his new role in his job as a computer scientist for a large firm. This is an example of
The answer is B. anticipatory socialization. Aman's anticipation and excitement about his new role as a computer scientist indicate his engagement in anticipatory socialization.
Anticipatory socialization refers to the process through which individuals learn and internalize the values, norms, and behaviors associated with a future role or status they aspire to have. In this case, Aman's graduation from college and his upcoming job as a computer scientist represent a transition to a new role.
As he looks forward to this new position, he is likely engaging in activities such as researching the company, learning about the responsibilities of a computer scientist, and acquiring the necessary skills to excel in his job. By doing so, Aman is preparing himself and adjusting his attitudes and behaviors to fit the expectations of his future role, which characterizes anticipatory socialization.
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The complete question is:
Aman is graduating from college and looking forward to his new role in his job as a computer scientist for a large firm. This is an example of
A.the imagination stage
B.anticipatory socialization.
C.the game stage.
D.looking-glass self
Many states use a sequence of three letters followed by a sequence of three digits as their standard license-plate pattern. Given that each three-letter three-digit arrangement is equally likely, the probability that such a license plate will contain at least one palindrome (a three-letter arrangement or a three-digit arrangement that reads the same left-to-right as it does right-to-left) is m/nm/n, where mm and nn are relatively prime positive integers. Find m nm n.
Many states use a sequence of three letters followed by a sequence of three digits as their standard license-plate pattern. The required answer is 5036336.
Given that each three-letter three-digit arrangement is equally likely, the probability that such a license plate will contain at least one palindrome (a three-letter arrangement or a three-digit arrangement that reads the same left-to-right as it does right-to-left) is to be found.
Let's solve it.
The total number of such arrangements is
26 * 26 * 26 * 10 * 10 * 10 = 17,576,000,
and the number of palindrome arrangements is 26 * 10 + 26 = 286.
The probability that a plate will not contain any palindromes is 17,575,714 / 17,576,000.
Thus, the probability that a plate will contain at least one palindrome is:
1 - (17,575,714 / 17,576,000) = 286 / 17,576.
Therefore, the value of mm and nn are 286 and 17,576 respectively.
To obtain the answer, we need to find their product mm * nn, which is
286 * 17,576 = 5,036,336.
Hence, the required answer is 5036336.
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What is the average rate of change for the following graph over the interval 1 ≤ x ≤ 3?
Answer:
The average rate of change is 1 over 3, or just 1/3. The y-values change 1 unit every time the x-values change 3 units, on this interval!
We want to find the average rate of change of the graph on the interval 1 ≤ x ≤ 3.
The correct option is B: -4
We know that for a given function f(x) the average rate of change on the interval a ≤ x ≤ b is given by:
\(\frac{f(b) - f(a)}{b - a}\)
Here we have the interval 1 ≤ x ≤ 3, and by looking at the graph we can see that:
f(3) = 1
f(1) = 9
Then the average rate of change is:
\(\frac{1 - 9}{3 - 1} = -4\)
So the correct option is B.
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what percent of 175 is 35
Answer:
20%
Step-by-step explanation:
35/175=x/100
35 divided by 1.75/ 175 divided by 1.75 =x/100
20/100=x/100
20=x
or
35/175=.2
.2= 20 %
Answer: 20%
Step-by-step explanation: hope this helps
What is the area of a square with side lengths of 3/5 units?
Answer:
We must solve 3/5 x 3/5.
3/5 x 3/5 = 0.36
The units we'll use is because units are the unt we're given, and it is squared because it is the area of a shape.
Your final answer is 0.36