what would the method be???

C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

Answer:

4.4763 billion km

Answer:

Answer:

1. A

2. A

3. B

Step-by-step explanation:

Answer:

-25

Hope this helps you out :)

Answer:

the answer should be -25

Answer: 13 units

Step-by-step explanation:

a) The expression that gives marginal revenue is R'(x) = 500 - 2x.

b) If 50 units are sold, the marginal revenue can be calculated by substituting x = 50 in the expression of marginal revenue. R'(50) = 500 - 2(50) = 400 dollars. This means that by selling one more unit after 50 units, the revenue will increase by 400 dollars.

c) If 400 units are sold, the marginal revenue can be calculated by substituting x = 400 in the expression of marginal revenue. R'(400) = 500 - 2(400) = -300 dollars. This means that by selling one more unit after 400 units, the revenue will decrease by 300 dollars. Therefore, R(x) is decreasing.

d) If 250 units are sold, the marginal revenue can be calculated by substituting x = 250 in the expression of marginal revenue. R'(250) = 500 - 2(250) = 0 dollars. This means that by selling one more unit after 250 units, the revenue will remain constant. Therefore, R(x) is constant.

The revenue function for a sound system is given by R(x) = 500x - x^2 dollars where x denotes the number of units sold. Marginal revenue is the additional revenue generated by selling one more unit. It is obtained by finding the derivative of the revenue function, which is given by R'(x) = 500 - 2x.

To know mare about revenue function refer here:

https://brainly.com/question/28545124#

#SPJ11

Below, you will learn how to solve the problem.

(a) To find the linear relationship y = mx + b between x = year and y = profit, we first need to find the slope (m) and the y-intercept (b).

The slope (m) is the change in y (profit) divided by the change in x (year):
m = (17 - 5)/(6 - 2)

m = 12/4

m = 3

Next, we can use one of the data points (2, 5) and the slope (3) to find the y-intercept (b):
5 = 3(2) + b
b = 5 - 6

b = -1

So the linear relationship between x = year and y = profit is:

y = 3x - 1

(b) To find the company's profit at the end of 3 years, we can plug in x = 3 into the equation:
y = 3(3) - 1

y = 8

So the company's profit at the end of 3 years is $8 million.

(c) To predict the company's profit at the end of 8 years, we can plug in x = 8 into the equation:

y = 3(8) - 1 = 23

So the company's profit at the end of 8 years is predicted to be $23 million.

For more information about equation, visit:

https://brainly.com/question/22688504

#SPJ11

Answer:

x=5

Step-by-step explanation:

10+2x -4= 2x+1+x

6+2x=3x+1

6=x+1

5=x

Answer: use the radious

Step-by-step explanation:

If something is written in its simplest radical form, that means that you have already found all possible roots and eliminated any radicals from the denominator of a fraction. ... For example, if your fraction is 2/√7, multiply by √7/√7 to get 2√7/√49. This will simplify to 2√7/7.  hope this helps

Answer:

Square roots are the opposite of “squaring” a number, or multiplying it by itself. For example, three squared is nine (3 2 = 9), so the square root of nine is three. In symbols, this is √9 = 3. The “√” symbol tells you to take the square root of a number, and you can find this on most calculators.

Step-by-step explanation:

hope it helps

The probability of being dealt a straight (but not a straight flush) in a 5-card poker hand is approximately 0.00392, when rounded to five decimal places. In conclusion, the probability is 0.00392.

The probability of being dealt a straight (but not a straight flush) in a 5-card poker hand can be calculated as follows:

First, we need to determine the number of possible straights. There are 10 possible straights (A-2-3-4-5, 2-3-4-5-6, etc.) in a deck of 52 cards.

Next, we need to determine the number of ways to choose the suits for each card in the straight. For each card in the straight, there are 4 possible suits. So, there are \(4^5\) = 1024 ways to choose the suits for the cards in the straight.

Finally, we divide the number of ways to get the desired hand by the total number of possible 5-card hands: (10 * 1024) / (choose(52,5)) = 0.00392.

Therefore, the probability of being dealt a straight (but not a straight flush) in a 5-card poker hand is approximately 0.00392, when rounded to five decimal places. In conclusion, the probability is 0.00392.

To know more about probability visit:

brainly.com/question/31828911

#SPJ11

The length of Raj's piece of string is 12x units.

To determine the length of Raj's piece of string, we need to find Kiki's third-longest piece.

Looking at the line plot or list of lengths provided, we can identify the third-longest length of Kiki's pieces.

Let's assume Kiki's third-longest piece has a length of x units.

According to the problem, Raj's piece of string is 12 times as long as Kiki's third-longest piece.

Therefore, the length of Raj's piece of string would be 12 × x units.

We can only express it as 12x units, where x represents the length of Kiki's third-longest piece.

Learn more about triangle

brainly.com/question/2773823

#SPJ11

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

learn more about the inequality theorem here: brainly.com/question/1163433

#SPJ11

Answer:

32

Step-by-step explanation:

(5/3) =1.6667

8^1.6667=32

To determine whether the actual fit is an interference fit or a clearance fit, you need to measure the actual sizes of the shaft and hole and compare them to the tolerance limits specified by the H8 and p7 designations.

In a transition fit, such as φ50 H8/p7, the fit allows for both interference and clearance depending on the actual sizes of the shaft and hole.

To determine whether the actual fit formed by the actual shaft and hole is an interference fit or a clearance fit, we need to compare the actual sizes of the shaft and hole with the tolerance limits specified by the H8 and p7 designations.

In this case, the H8 tolerance for the hole indicates a basic hole size with a relatively tight tolerance, while the p7 tolerance for the shaft indicates a basic shaft size with a looser tolerance. The "φ50" specification specifies the nominal size of the fit as 50 mm.

If the actual shaft size falls within the upper limit of the p7 tolerance and the actual hole size falls within the lower limit of the H8 tolerance, the fit will be a clearance fit. This means that there will be a gap or clearance between the shaft and the hole, allowing for easy assembly and potential movement or play between the parts.

On the other hand, if the actual shaft size falls within the lower limit of the p7 tolerance and the actual hole size falls within the upper limit of the H8 tolerance, the fit will be an interference fit. This means that the shaft will be larger than the hole, resulting in a tight fit where the parts are pressed or forced together. This can create friction and require more force for assembly.

To learn more about interference fit, visit:

https://brainly.com/question/32235888

#SPJ11

\(l = \sqrt{(x - x) {}^{2} + (y - y) {}^{2} } \)

\(l = \sqrt{( - 4 - 6) {}^{2} + (16 + 8) {}^{2} } \)

\(l = \sqrt{( - 10) {}^{2} + (24) {}^{2} } \)

\(l = \sqrt{100 + 576} \)

\(l = \sqrt{676} = 26\)

\(radius = \frac{diameter}{2} = \frac{26}{2} = 13\)

\(x(m) = \frac{x + x}{2} = \frac{6 - 4}{2} = \frac{2}{2} = 1\)

\(y(m) = \frac{y + y}{2} = \frac{16 - 8}{2} = \frac{8}{2} = 4\)

\((x - 1) {}^{2} + (y - 4) {}^{2} = 14 {}^{2} \)

\((x - 1) {}^{2} + (y - 4) {}^{2} = 196\)

The average value of a necklace at Julie's shop is $4.90. For further explanation;-

Julie the jeweler has two gold necklaces worth $105, seven silver necklaces valued at $100, twenty-seven plated necklaces valued at $55, and twenty-two beaded necklaces worth $25. The average value of a necklace at Julie's shop can be calculated by finding the sum of the values of all the necklaces and dividing it by the total number of necklaces.

The total value of all the necklaces is $105 + $100 + $55 + $25 = $285. The total number of necklaces is 2 + 7 + 27 + 22 = 58.

Therefore, the average value of a necklace is $285 / 58 = $4.90. This answer should be rounded to the nearest cent, giving an average value of $4.90 per necklace at Julie's shop.

To learn more about average value here:

brainly.com/question/13391650#

#SPJ11

Answer:

y = 5x - 23

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 10x from both sides:

10x (-10x) - 2y = 46 (-10x)

-2y = -10x + 46

Next, divide -2 from all terms in the equation:

(-2y)/-2 = (-10x + 46)/-2

y = (-10x)/-2 + (46)/-2

y = 5x - 23

y = 5x - 23 is your answer.

~

Answer:

y= 5x-23

Step-by-step explanation:

10x-2y =46

10x-10x-2y =46-10x

-2y= 46-10x

-2y/-2= 46-10x/-2

y= 5x-23

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

Learn more about Kristine from

https://brainly.com/question/27244350

#SPJ11

Answer:

14.96

Step-by-step explanation:

6*84p=£5.04

£20-£5.04=14.96

Step 1: Given the functions f(x) and g(x) , compute the limit limx→∞f(x)g(x) lim x → ∞ f ( x ) g ( x ) .

Step 2: If the limit in Step 1 is a finite constant a≠0 a ≠ 0 , then the growth rate of f(x) is a times the growth rate of g(x) at sufficiently large x .

Now, According to the question:

Steps on How to Compare the Rates of Change of Two Functions Using Limits

Step 1: Given the functions f(x) and g(x), compute the limit

limx→∞f(x)/g(x).

Step 2: If the limit in Step 1 is a finite constant a≠0, then the growth rate of f(x) is a times the growth rate of g(x) at sufficiently large x. If the limit in Step 1 is ∞, then the growth rate of f(x) is greater than the growth rate of g(x). If the limit in Step 1 is 0, then the growth rate of g(x) is greater than the growth rate of f(x).

Learn more about Growth rate at:

https://brainly.com/question/29399755

#SPJ4

Answer:

The 2 goes on 2, the 3 on 3, the 5 on the 5, and the 8 on the 8.

Step-by-step explanation:

give brainliest if this helps

the system has a unique solution: x1 = 29 - (3/4)x2 = 29 - (3/4)(-1/2) = 30/2 = 15, and x2 = -1/2. The solution is (x1, x2) = (15, -1/2).

The given system of equations can be represented as an augmented matrix:

[[4, 3, 116], [1, 15, 1]]

To reduce the system to echelon form, we perform row operations to eliminate the coefficients below the main diagonal. We start by multiplying the first row by 1/4 to make the leading coefficient of the first equation equal to 1. Then, we subtract 1/4 times the first row from the second row to eliminate the first variable in the second equation.

The echelon form of the augmented matrix is:

[[1, 3/4, 29], [0, 14, -7]]

The system is consistent because there are no rows of the form [0, 0, c] where c is non-zero. However, the echelon form indicates that the second equation simplifies to 14x2 = -7, which means x2 = -1/2.

Therefore, the system has a unique solution: x1 = 29 - (3/4)x2 = 29 - (3/4)(-1/2) = 30/2 = 15, and x2 = -1/2. The solution is (x1, x2) = (15, -1/2).

Learn more about main diagonal here:

https://brainly.com/question/30055279

#SPJ11

Answer:

20fish

Step-by-step explanation:

so 1/2 of 16 is 8

or 1/4 of 32 is 8

so 8+32=40

40 1/2 is 20

so 20 fish caught on Monday

Answer:

x = 15 ounces

Step-by-step explanation:

A mixture is made with two types of solutions.

Solution A - 45 ounces of 10% saline solution

Solution B - x ounces of 70% saline solution

Resulting mixture - (x + 45) ounces of 25% saline solution

To get the value of x, equation will be,

(45 × 0.10) + (x × 0.70) = (x + 45) × 0.25

4.5 + 0.70x = 0.25x + 11.25

0.25x - 0.70x  = 4.5 - 11.25

-0.45x = -6.75

x = \(\frac{6.75}{0.45}\)

x = 15 ounces    

The simplified form of number is 2

To find the simplified form of the number, we will find the number whose square is equal to 4. As per the known fact, only 2 is the number whose square is 4.

Firstly rewriting the number -

Number = \(4^{1/2}\)

Now, rewriting the number with base as 2 and exponent also as 2, as stated in theory above -

Number = \(2^{2(1/2)}\)

Cancelling 2 from the exponent as it is present in both numerator and denominator. Rewriting the number with 2 as base and 1 as exponent to find the simplified form of the number.

Number = 2

Hence, the simplified number is 2

Learn more about calculations on simplification -

https://brainly.com/question/27589014

https://brainly.com/question/432678

#SPJ4

We can write\(:∫0¹(1-x^q)^1/pdx = ∫1⁰(1-v)^1/pv^(1/q - 1) dv.\)

To prove that \(∫0¹(1-x^p)^1/qdx=∫0¹(1-x^q)^1/pdx,\) we use the substitution u = x^p and u = x^q respectively.

Using the substitution method, we have the following:  Let\(u = x^p,\) then \(du/dx = px^(p-1)\)and \(dx = (1/p)u^(1/p - 1) du.\)

Hence we can write\(:∫0¹(1-x^p)^1/qdx = ∫0¹(1-u)^1/qu^(1/p - 1) duLet v = (1 - u), then dv/dx = -du and dx = -dv.\)

Therefore, we can write:\(∫0¹(1-u)^1/qu^(1/p - 1) du = ∫1⁰(1-v)^1/qv^(1/p - 1) dvS\)

Since p and q are both positive, 1/p and 1/q are positive, which implies that the integrals are convergent. Now let us apply the same technique to the other integral. I\(f v = x^q, then dv/dx = qx^(q-1) and dx = (1/q)v^(1/q - 1) dv.\)

Hence we can write:∫\(0¹(1-x^q)^1/pdx = ∫1⁰(1-v)^1/pv^(1/q - 1) dv.\)

Using the identity\((1 - u)^1/q = (1 - u^q)^(1/p),\)

we can write:\(∫0¹(1-x^p)^1/qdx = ∫0¹(1 - (x^p)^q)^(1/p)dx = ∫0¹(1 - x^q)^(1/p)dx∫0¹(1-x^q)^1/pdx = ∫0¹(1 - (x^q)^p)^(1/q)dx = ∫0¹(1 - x^p)^(1/q)dx.\)

Hence, we have shown that \(∫0¹(1-x^p)^1/qdx = ∫0¹(1 - x^q)^(1/p)dx.\)

To know more about  substitution method visit:

brainly.com/question/22340165

#SPJ11

Answer:

2:10:12

Step-by-step explanation:

I multiplied all of the numbers by 2

It doesn't matter what number you multiply the numbers by, as long as you multiply all 3 of them.

Answer:

I think the answer would therefore be F.