Which set has an average of 2?
A) A
C)A and B
D) None of above

Which Set Has An Average Of 2?A) AC)A And BD) None Of Above

Answers

Answer 1
Set A has an average of 2.

To find the average of the sets individually, we add the total number of blocks up then divide it by the number of groups. Set A can be solved like so:

4 + 1 + 1 = 6
6 / 3 = 2

Set A has an average of 2.

Now to solve for set B:

4 + 2 = 6
6 / 2 = 3

Set B has an average of 3.

Therefore, option A has an average of 2 and is correct.

Related Questions

If set is equivalent to the set of natural numbers that are multiples of 4

Answers

Answer:

2 4 8 16 and so on and so forth

Use the graph of the function f to find the approximations of the given values.
b. f(4)
d. f(12) − f(4) / 12 − 4

Answers

Answer:

b. f(4) = -12

d. (f(12) - f(4))/(12 - 4) = (12 - (-12))/8 = 24/8

= 3

14 − {7 + 4 · 3 - [(-2)² · 2 - 6]}+ (2² + 6 - 5 · 3) + 3 - (5 - 2³ / 2) =

Answers

Answer: -6

Step-by-step explanation:

1. Evaluate the expressions inside the innermost brackets and braces first:

 [tex]\((-2)^2 \cdot 2 - 6 = 4 \cdot 2 - 6 = 8 - 6 = 2\)[/tex]

  So, the expression becomes:

  [tex]\(14 - \{7 + 4 \cdot 3 - 2\}+ (2^2 + 6 - 5 \cdot 3) + 3 - (5 - 2^3 / 2)\)[/tex]

2. Continue evaluating the expressions inside the braces:

  [tex]\(7 + 4 \cdot 3 - 2 = 7 + 12 - 2 = 17\)[/tex]

  So, the expression becomes:

[tex]\(14 - 17 + (2^2 + 6 - 5 \cdot 3) + 3 - (5 - 2^3 / 2)\)[/tex]

3. Now, evaluate the expressions inside the parentheses:

[tex]\(2^2 + 6 - 5 \cdot 3 = 4 + 6 - 15 = -5\)[/tex]

 [tex]\(5 - 2^3 / 2 = 5 - 8 / 2 = 5 - 4 = 1\)[/tex]

  So, the expression becomes:

[tex]\(14 - 17 - 5 + 3 - 1\)[/tex]

4. Finally, perform the remaining operations:

[tex]\(14 - 17 - 5 + 3 - 1 = -3 - 5 + 3 - 1 = -6\)[/tex]

So, the result of the expression is -6.

Please Solve, Thank you!

Answers

The graph which shows the interval notation of the inequality 3 > - x > - 7 is option C.

How to solve inequality using graph?

3 > - x > - 7

Break the compound inequality into two and solve each

3 > - x

divide both sides by -1

-3 < x

- x > - 7

divide both sides by -1

x < 7

So the solution to the inequality is

-3 < x < 7

Therefore, it can be interpreted that x is greater than -3 and less than 7

Read more on inequality?

https://brainly.com/question/25275758

#SPJ1

how to calculate Bi weekly pay?

Answers

Calculating bi-weekly pay involves determining the total earnings for a two-week period. Here's the process 1. Determine the hourly rate: Start by determining the hourly rate of pay. For example, let's say the hourly rate is $15.

2. Calculate regular earnings: Determine the number of hours worked in a two-week period. Let's assume 80 hours. Multiply the hourly rate by the number of hours worked to calculate the regular earnings: $15/hour x 80 hours = $1200.

3. Calculate overtime (if applicable): If there are any overtime hours, calculate the overtime earnings separately. Typically, overtime is paid at a higher rate (e.g., 1.5 times the regular hourly rate) for hours worked beyond a certain threshold (e.g., 40 hours per week). Multiply the overtime hours by the overtime rate and add this amount to the regular earnings.

4. Deduct taxes and other withholdings: Subtract the applicable taxes and other withholdings from the total earnings. This may include federal income tax, state income tax, Social Security tax, Medicare tax, and any other deductions.

5. Determine the net pay: Subtract the deductions from the total earnings to calculate the net pay—the amount the employee takes home after taxes and withholdings.

It's important to note that bi-weekly pay may also include additional components such as bonuses, commissions, or other allowances. These should be factored into the calculations accordingly.

By following these steps, you can calculate an employee's bi-weekly pay based on their hourly rate, hours worked, and any additional components or deductions involved.

For more such questions on rate

https://brainly.com/question/25720319

#SPJ8

The solution to this problem

Answers

Answer:

3.1+2=8

2.3-4=2

Step-by-step explanation:

Answer:

(Multiply 2y-x=2 by a 3 so that the x can be canceled)

3(2y-x=2)

=6y-3x=6 (add this to 3x+y=8)

(the +3x and -3x cancel)

3x+y=8

+6y-3x=6

_______

7y=14 (divide 14÷7)

●y=2

(take 3x+y=8 and place y=2 to find x)

3x+(2)=8 (and solve for x)

3x=6

●x=2

final answer:

(2,2)

. If the cone has a height of 10 cm and a diameter of 18 cm, what is its volume?

Answers

Answer:

[tex]\Huge \boxed{\boxed{\bf{Volume = 848.23 cm^3}}}[/tex]

Step-by-step explanation:

To calculate the volume of a cone with a height of 10 cm and a diameter of 18 cm, we can use the formula:

[tex]\LARGE \boxed{\tt{V = \frac{1}{3} \times \pi \times r^2 \times h}}[/tex]

➤V = volume

➤r = radius

➤h = height

Since the diameter is 18 cm, the radius is half of that, which is 9 cm. Now, we can plug in the values:

[tex]\tt{V = \frac{1}{3} \times \pi \times (9)^2 \times 10}[/tex][tex]\tt{V = \frac{1}{3} \times \pi \times 81 \times 10}[/tex][tex]\tt{V = \pi \times 270}[/tex]

The volume of the cone is [tex]\tt{270\pi \approx 848.23 \texttt{ cm}^3}[/tex]

__________________________________________________________

Please help me asap

Answers

Answer:

A. x+y+z=35,000

4x+6y+12x-194,000

2y-z=0

Step-by-step explanation:

The system of equations is:

x + y + z = 35,000 (total investment is $35,000) 4x + 6y + 12z = 19,400 (the investor wants an annual return of $1940 on the three investments) y = 2z (the client wants to invest twice as much in A bonds as in B bonds)

The answer is A.

The first equation represents the total amount of money invested in the three types of bonds. The second equation represents the total annual return on the investments, which is equal to the sum of the individual returns on each type of bond. The third equation represents the client's preference for investing in A bonds over B bonds.

The system of equations can be used to solve for the values of x, y, and z, which represent the amounts invested in AAA, A, and B bonds, respectively.

Answer:

[tex]\textsf{A.} \quad \begin{cases}x+y+z=35000\\4x+6y+12z=194000\\2z-y=0\end{cases}[/tex]

Step-by-step explanation:

A system of equations is a set of two or more equations with the same variables. It allows us to model and solve problems that involve multiple equations and unknowns.

An investment firm recommends that a client invest in bonds rated AAA, A, and B. The definition of the variables are:

Let x be the number of AAA bonds.Let y be the number of A bonds.Let z be the number of B bonds.

The average yield on each of the three bonds is:

AAA bonds = 4%A bonds = 6%B bonds = 12%

We have been told that the total investment is $35,000. Therefore, the equation that represents this is the sum of the three investments equal to 35,000:

[tex]x+y+z=35000[/tex]

To find the annual return on each investment, multiply the number of bonds by the average yield (in decimal form). Given the investor wants a total annual return of $1940 on the three investments, the equation that represents this is the sum of the product of the investment amount for each bond type and its corresponding yield, equal to $1940.

[tex]0.04x+0.06y+0.12z=1940[/tex]

Multiply all terms by 100:

[tex]4x+6y+12z=194000[/tex]

Finally, given the client wants to invest twice as much in A bonds as in B bonds, the equation is:

[tex]y=2z[/tex]

Subtract y from both sides of the equation:

[tex]2z-y=0[/tex]

Therefore, the system of equations the models the given scenario is:

[tex]\begin{cases}x+y+z=35000\\4x+6y+12z=194000\\2z-y=0\end{cases}[/tex]

What graph represents the piecewise-defined function ? y={6 if x <-3, 3 if -32

Answers

The graph of the piecewise-defined function will consist of two horizontal line segments.

The piecewise-defined function can be represented using a graph with two separate segments.

First, let's consider the segment where the value of y is 6 when x is less than -3. This means that for any x-value less than -3, the corresponding y-value is 6. This segment will be a horizontal line parallel to the x-axis, located at the y-coordinate of 6.

Next, let's consider the segment where the value of y is 3 when x is greater than or equal to -3 and less than or equal to 2. This means that for any x-value between -3 and 2 (inclusive), the corresponding y-value is 3. This segment will also be a horizontal line parallel to the x-axis, located at the y-coordinate of 3.

To summarize:

For x < -3, y = 6.

For -3 ≤ x ≤ 2, y = 3.

Therefore, Two horizontal line segments make up the graph of the piecewise-defined function. One segment will be located at y = 6, and the other segment will be located at y = 3. The vertical range of the graph will extend to include both y-values (6 and 3), while the horizontal range will depend on the given x-values and the interval specified.

for such more question on piecewise-defined function

https://brainly.com/question/10261958

#SPJ8

5.3 Suppose the radius of a second solid metal ball, B₂, is half the radius of ball B₁. Suppose ball B₂ was put into the tank of water instead of ball B₁. Would the surface of the water be 4cm below the top of the tank? Explain your answer. (5)​

Answers

If ball B₂ is placed in the tank instead of B₁, the surface of the water would not be 4cm below the top of the tank. It would be lower than that, indicating that ball B₂ causes a lesser rise in the water level due to its smaller volume.

No, the surface of the water would not be 4cm below the top of the tank if ball B₂ with a radius half of B₁ was placed in the tank instead.

The water level in a tank is determined by the volume of the object submerged in it, not just the radius of the object. The volume of a sphere is directly proportional to the cube of its radius.

Let's assume the radius of ball B₁ is r. Then, the radius of ball B₂ would be (1/2) * r.

The volume of ball B₁ can be calculated as V₁ = (4/3) * π * r³.

Similarly, the volume of ball B₂ can be calculated as V₂ = (4/3) * π * (1/2 * r)³ = (1/6) * (4/3) * π * r³.

The volume of water displaced by ball B₁ would be equal to V₁, which would cause the water level to rise.

However, the volume of water displaced by ball B₂ would be equal to V₂, which is only (1/6) of V₁. This means that ball B₂ would displace less water compared to B₁, resulting in a lower rise in the water level.

Therefore, if ball B₂ is placed in the tank instead of B₁, the surface of the water would not be 4cm below the top of the tank. It would be lower than that, indicating that ball B₂ causes a lesser rise in the water level due to its smaller volume.

for such more question on surface

https://brainly.com/question/20771646

#SPJ8

polynomial standard form of x^2-x^6+x^8-5 ?

Answers

The standard form of the polynomial x^2 - x^6 + x^8 - 5 is:

x^8 - x^6 + x^2 - 5

To express the polynomial x^2 - x^6 + x^8 - 5 in standard form, we arrange the terms in descending order of their exponents.

The given polynomial can be rewritten as:

x^8 - x^6 + x^2 - 5

In the standard form of a polynomial, the terms are arranged in descending order of their exponents. So, let's rearrange the terms:

x^8 - x^6 + x^2 - 5

The standard form of the polynomial x^2 - x^6 + x^8 - 5 is:

x^8 - x^6 + x^2 - 5

for such more question on polynomial

https://brainly.com/question/15702527

#SPJ8

What is the axis of symmetry of h(x) = 6x2 − 60x + 147?

x = −5
x = −3
x = 3
x = 5

Answers

The answer is x=5 I hope this helped you out

What is 52% of 78? Round to one decimal place.

Answers

Answer:

40.6

Step-by-step explanation:

Step 1:  Convert 52% to a decimal:

We can find 52% of 78 by multiplying the decimal form of the percentage by 78.To convert a percentage to a decimal, imagine the percentage sign as a decimal place with two 0s after the decimal.  Thus, imagine 52% as 52.00.Then, you move the decimal two places to the left (this is the same as dividing by 100 since a percentage is always out of 100):

Thus, 52% as a decimal is 0.52.

Step 2:  Multiply 0.52 by 78 and round to one decimal place:

Now we can multiply 0.52 by 78 and round to one decimal place to find 52% of 78:

0.52 * 78

40.56

40.6

Thus, 52% of 78 is about 40.6,

Factor the polynomial: 2x(x - 3) + 9(x - 3)

Answers

The answer is:

(x - 3)(2x + 9)

Work/explanation:

Since (x-3) appears in both terms, we move it to the first place:

(x - 3)

We need to have another term; for that other term, we take what's left, and put that as our other term.

As a result, we have:

(x - 3)(2x + 9)

Hence, this is the answer.

express 30.725 correct to one decimal place​

Answers

Answer:

30.7

Step-by-step explanation:

30.725 to one decimal place is 30.7.  To round/correct to one decimal place, it would be the tenths.  So, look at the hundredths place number (2), and if its greater than 5, add 1 to the tenths place (7 changes to 8), and if its less than 5, don't do anything (7 stays as 7).

Hope this helps! :)

Answer:

The value corrected to one decimal place is 30.7

Step-by-step explanation:

The value 30.725 has three decimal places. The number 7 is in the one's place, the number 2 is in the tenth place, and the number 5 is in the hundredth place.

To round off, if the value in a place is equal to or above 5, the previous place number is increased by one; else it remains the same. In this case, the hundredth place is 5, so we add 1 to the tenth place. This gives us 2 + 1 = 3. Therefore, the number is expressed with two decimal places as 30.73.

To express it as one decimal place, we look at the value in the tenth place, which is 3. As 3 is less than 5, the one's place remains the same.

Thus, the value is 30.7 when expressed with one decimal place.

Learn more about decimal places,

https://brainly.com/question/20563248

a^3(b+c)/(a-b)(a-c) + b^3(c+a)/(b-c)(b-a) + a^3(a+b)/(c-a)(c-b) = ab+bc+ca​

Answers

The value of the algebraic expression is ab+bc+ca.

What is algebraic equation?

An algebraic equation is a mathematical statement that contains two equated algebraic expressions formulated by applying algebraic operations such as addition, subtraction, multiplication, division, raising to a power, and extraction of a root to a set of variables

The equation A^3(b+c)/(a-b)(a-c) + b^3(c+a)/(b-c)(b-a) + a^3(a+b)/(c-a)(c-b) = ab+bc+ca

(a-b, a-c, b-c, b-a, c-a, c-b).

Simplifying each fraction, we get

(a^3b + a^3c)/(a^2 - ab - ac + b^2 - bc + c^2) + (b^3c + b^3a)/(b^2 - bc - ba + c^2 - ac + a^2) + (a^4 + a^3b)/(c^2 - ac - ab + b^2 - bc + a^2).

(a-b)(a-c), (b-c)(b-a), and (c-a)(c-b),

ab+bc+ca.

Therefore, the equation A^3(b+c)/(a-b)(a-c) + b^3(c+a)/(b-c)(b-a) + a^3(a+b)/(c-a)(c-b) = ab+bc+ca

Learn more about algebraic equations on https://brainly.com/question/29131718

#SPJ1

Given that the two expression(r+ a)(r – 15) and r² – br-75 are indentical calculate the value of b​

Answers

Answer:

b = 10

Step-by-step explanation:

expand expression and compare like terms.

(r + a)(r - 15) ← expand using FOIL

= r² - 15r + ar - 15a ← factor out r from second/ third terms

= r² + r(a - 15) - 15a

compare with r² - br - 75

then

- 15a = - 75 ( divide both sides by - 15 )

a = 5

and

a - 15 = - b ← substitute a = 5

5 - 15 = - b

- 10 = - b ( multiply both sides by - 1 )

10 = b

If A is the set of positive integers defined as
A = {x:x²+x-6=0}. Find the value of X satisfying the
solution set.

Answers

The value of x that satisfies the equation x² + x - 6 = 0 is x = 2 or x = -3.

To find the value of x that satisfies the equation x² + x - 6 = 0, we can solve the quadratic equation by factoring or using the quadratic formula.

Option 1: Factoring

To factor the quadratic equation, we need to find two numbers whose product is -6 and whose sum is +1 (the coefficient of x).

The numbers that satisfy this condition are +3 and -2.

Therefore, we can rewrite the equation as (x + 3)(x - 2) = 0.

Setting each factor equal to zero, we have x + 3 = 0 or x - 2 = 0.

Solving these equations gives x = -3 or x = 2.

Option 2: Quadratic Formula

The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b² - 4ac)) / (2a).

In our equation, a = 1, b = 1, and c = -6.

Substituting these values into the formula, we have:

x = (-1 ± √(1² - 4(1)(-6))) / (2(1)).

Simplifying the expression inside the square root, we get:

x = (-1 ± √(1 + 24)) / 2.

x = (-1 ± √25) / 2.

x = (-1 ± 5) / 2.

This gives us two solutions: x = (-1 + 5) / 2 = 4 / 2 = 2, and x = (-1 - 5) / 2 = -6 / 2 = -3.

For similar question on equation.

https://brainly.com/question/30645878  

#SPJ8

need help with this question trying to figure out this question

Answers

3x-15=x+33

or, 3x-2x=33+15

THEREFORE X=48 UNITS

THIS IS THE CORRECT QNSWER

What is the length of leg s of the triangle below?
45
1012
A. 10-2
OB. 10
O C. 1
OD. 5√2
E 5
45
F. 5.6

Answers

Answer:

B

Step-by-step explanation:

If the park was 1/8 of mile and 1/2 how many miles total

Answers

Answer: 5/8 miles

Step-by-step explanation:

1/8+1/2 is the equation. First, you have to make the denominators equal. So, we have to turn 2 into 8. Since you multiply 2 by 4 to get 8, multiply the numerator (1) by 4 as well. This leaves you with 1/8+4/8. Now add the numerators together to get 5/8.

The paint needed for a 980 ft2 room costs $35.25 per gallon. What is the total cost of the paint
needed to paint the room?
Note: Assume that one gallon of paint will cover a total of 350 square feet.
O $88.60
O $98.70
O $88.12
O $89.07

Answers

Answer:

$98.70

Step-by-step explanation:

Number of gallons = Area of room / Coverage per gallon

Number of gallons = 980 ft^2 / 350 ft^2/gallon

Number of gallons = 2.8 gallons

Therefore, we need 2.8 gallons of paint to cover the room. The cost of one gallon of paint is given as $35.25, so the total cost of the paint needed to paint the room is:

Total cost = Number of gallons × Cost per gallon

Total cost = 2.8 gallons × $35.25/gallon

Total cost = $98.70

So, the total cost of the paint needed to paint the room is $98.70.

Question 9 of 30
What is the surface area of the solid?
41
OA. 84 square feet
OB. 50 square feet
O C. 100 square feet
OD. 56 square feet
7 ft
2 ft

Answers

Answer:

Step-by-step explanation:

Assume the average nightly payroll for a city’s downtown restaurants on the weekend is $2200 with a standard deviation of $300. The distribution has a bell-shaped curve. A manager wants to be 99% sure he has this cost covered for the next four weeks and puts away $10,000. Will he have enough? Use your z-score formula result to justify your answer. Please respond with the dollar amount and round to the nearest dollar.

Hint: Round your z-value to the hundredths place and direction of the graph will matter.

Answers

Given statement solution is :- The manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.

To determine if the manager will have enough funds to cover the nightly payroll for the next four weeks, we need to calculate the total cost for four weeks and compare it to the amount set aside.

The nightly payroll has a mean of $2200 and a standard deviation of $300. Since there are seven nights in a week, the weekly payroll can be calculated as:

Weekly Payroll = Nightly Payroll * Number of Nights in a Week

= $2200 * 7

= $15,400

To calculate the total cost for four weeks, we multiply the weekly payroll by four:

Total Cost for Four Weeks = Weekly Payroll * Number of Weeks

= $15,400 * 4

= $61,600

Now, let's calculate the z-score using the formula:

z = (X - μ) / σ

Where:

X = Total Cost for Four Weeks

μ = Mean of the distribution

σ = Standard deviation of the distribution

z = ($61,600 - $2200) / $300

z = $59,400 / $300

z ≈ 198

To determine if the manager will have enough funds to cover the payroll, we need to find the proportion of the distribution that is less than or equal to the z-score. This can be done by consulting a standard normal distribution table or using statistical software.

For a z-score of 198, the proportion in the tail of the distribution is essentially 1 (or 100%). This means that the manager is virtually guaranteed to have enough funds to cover the payroll for the next four weeks.

Since the manager has set aside $10,000, which is less than the calculated total cost of $61,600, he will indeed have enough funds to cover the payroll.

Therefore, the manager will have enough funds, and the amount set aside ($10,000) is sufficient to cover the payroll for the next four weeks.

For such more questions on Funds Cover Payroll: Confirmed

https://brainly.com/question/32039603

#SPJ8

Find the inverse of the matrix, use an algorithm for finding A^-1 by row reducing [A I]

[------------------]

| 1 0 -3 | 1 0 0 |

| 3 1 -4 | 0 1 0 |

| 4 2 -4 | 0 0 1 |

[------------------]

Answers

Answer:

A: A^-1 = [[-2,-3,-1.5],[-2,-4,-2.5],[-1,1,-.5]]

Step-by-step explanation:

Answer:

To find the inverse of the matrix A, we will use the row reduction method. We will augment matrix A with the identity matrix I and perform row operations until A is transformed into the identity matrix. The resulting matrix on the right side will be the inverse of A.

Step-by-step explanation:

Augment the matrix A with the identity matrix I:

[ 1  0 -3 | 1  0  0 ]

[ 3  1 -4 | 0  1  0 ]

[ 4  2 -4 | 0  0  1 ]

Perform row operations to transform the left side of the augmented matrix into the identity matrix:

R2 = R2 - 3R1

R3 = R3 - 4R1

[ 1  0 -3 | 1  0  0 ]

[ 0  1  5 | -3  1  0 ]

[ 0  2  8 | -4  0  1 ]

Perform row operations to further transform the left side of the augmented matrix into the identity matrix:

R3 = R3 - 2R2

[ 1  0 -3 | 1  0  0 ]

[ 0  1  5 | -3  1  0 ]

[ 0  0 -2 | 2  -2  1 ]

Multiply the third row by -1/2 to make the pivot element of the third row equal to 1:

R3 = (-1/2) * R3

[ 1  0 -3 | 1  0  0 ]

[ 0  1  5 | -3  1  0 ]

[ 0  0  1 | -1  1  -1/2 ]

Perform row operations to further transform the left side of the augmented matrix into the identity matrix:

R1 = R1 + 3R3

R2 = R2 - 5R3

[ 1  0  0 | 2  0  3/2 ]

[ 0  1  0 | 2  -4  5/2 ]

[ 0  0  1 | -1  1  -1/2 ]

The resulting matrix on the right side of the augmented matrix is the inverse of matrix A:

[ 2  0  3/2 ]

[ 2  -4  5/2 ]

[ -1  1  -1/2 ]

Therefore, the inverse of matrix A is:

[ 2  0  3/2 ]

[ 2  -4  5/2 ]

[ -1  1  -1/2 ]

raj bought 300 mangoes at per 10 mangoes for RS 100 and sold them at a profit of 25% at what rate he sell per 15 mangoes​

Answers

Raj would sell 15 mangoes at a rate of Rs 187.50 in order to achieve a profit of 25%.

To find the selling rate per 15 mangoes, we need to consider the buying price, profit percentage, and the number of mangoes.

Given:

Number of mangoes bought = 300

Buying price for 10 mangoes = Rs 100

Profit percentage = 25%

Calculate the cost price of 1 mango.

Cost price per mango = Buying price for 10 mangoes / 10

Cost price per mango = Rs 100 / 10

Cost price per mango = Rs 10

Calculate the selling price of 1 mango, including the profit.

Profit per mango = Cost price per mango * Profit percentage

Profit per mango = Rs 10 * 25/100

Profit per mango = Rs 2.50

Selling price per mango = Cost price per mango + Profit per mango

Selling price per mango = Rs 10 + Rs 2.50

Selling price per mango = Rs 12.50

Calculate the selling price for 15 mangoes.

Selling price per 15 mangoes = Selling price per mango * 15

Selling price per 15 mangoes = Rs 12.50 * 15

Selling price per 15 mangoes = Rs 187.50

Therefore, Raj would sell 15 mangoes at a rate of Rs 187.50 in order to achieve a profit of 25%.

​for such more question on selling rate

https://brainly.com/question/14768591

#SPJ8

You have found a store that is unique. All the shirts sell for a set price and all the pants are also priced the same in the entire store! You have purchased 3 shirts and 2 pants for $104.81 and your friend has purchased 2 shirts and one pant for $61.33. Set up and solve a system of linear equations. How much is one shirt?

Answers

Answer:

17.85$

Step-by-step explanation:

Let x be 1 shirt price

Let y be 1 pant price

we have the following equation

3x+2y = 104.81$ (1)

2x+y = 61.33$ => multiply two sides by 2 => 4x + 2y = 122.66 (2)

=> (2) - (1) => x = 17.85$

So one shirt is 17.85$

What fraction subtracted from 5/12 will yield an answer that is equal to the difference between 2/3 and 1/2?​

Answers

The fraction that, when subtracted from 5/12, yields the same result as the difference between 2/3 and 1/2, is 1/4.

To find the fraction that, when subtracted from 5/12, gives the same result as the difference between 2/3 and 1/2, we need to compute both the difference and the subtraction, and then find the fraction that represents their equality.

The difference between 2/3 and 1/2 can be found by subtracting the two fractions:

2/3 - 1/2 = (4/6) - (3/6) = 1/6

Now, let's represent the fraction we are looking for as "x." We can set up the equation:

5/12 - x = 1/6

To solve for "x," we need to isolate it on one side of the equation. We can do this by subtracting 5/12 from both sides:

-x = 1/6 - 5/12

To simplify the right side, we need a common denominator, which is 12:

-x = 2/12 - 5/12

Now we can combine the numerators:

-x = (2 - 5)/12 = -3/12 = -1/4

To solve for "x," we multiply both sides of the equation by -1:

x = 1/4

For more such questions on fraction

https://brainly.com/question/78672

#SPJ8

Help me please. You can get 20 points

Answers

a. The marginal profit function Py is Py = -30x + 47y - 915 and

b. Change in profit if price increase by 1 cent is 831 cents.

Understanding Profit Function

To find the marginal profit functions Px and Py, we need to find the partial derivatives of the profit function P(x, y) with respect to x and y, respectively.

Given:

P(x, y) = (x - 40)(55 - 4x + 5y) + (y - 45)(70 + 5x - 7y)

a. Marginal profit function Px:

To find Px, we differentiate P(x, y) with respect to x while treating y as a constant:

Px = ∂P/∂x = (∂/∂x) [(x - 40)(55 - 4x + 5y) + (y - 45)(70 + 5x - 7y)]

Expanding the terms and simplifying:

Px = (55 - 4x + 5y) + (x - 40)(-4) + (70 + 5x - 7y)(5)

Simplifying further:

Px = 55 - 4x + 5y - 4x + 40 + 350 + 5x - 7y

Combining like terms:

Px = 355 - 3x - 2y

b. Marginal profit function Py:

Similarly, to find Py, we differentiate P(x, y) with respect to y while treating x as a constant:

Py = ∂P/∂y = (∂/∂y) [(x - 40)(55 - 4x + 5y) + (y - 45)(70 + 5x - 7y)]

Expanding the terms and simplifying:

Py = (x - 40)(5) + (70 + 5x - 7y)(-7) + (y - 45)(5)

Simplifying further:

Py = 5x - 200 - 7y - 490 - 35x + 49y + 5y - 225

Combining like terms:

Py = -30x + 47y - 915

This is the profit function Py.

b. Estimating the daily change in profit:

To estimate the daily change in profit, we need to evaluate Px and Py at the given prices and calculate the change in profit when the prices are increased as specified.

Given initial prices:

First brand price (x) = 70 cents

Second brand price (y) = 73 cents

To estimate the change in profit, we substitute the initial prices into Px and Py and calculate the results:

Px(70, 73) = 355 - 3(70) - 2(73)

          = 355 - 210 - 146

          = -1

Py(70, 73) = -30(70) + 47(73) - 915

          = -2100 + 3431 - 915

          = 416

The daily change in profit can be estimated by multiplying the changes in price (1 cent for the first brand and 2 cents for the second brand) with the respective marginal profit functions:

Change in profit = ΔP ≈ Px(70, 73) * 1 + Py(70, 73) * 2

               ≈ -1 * 1 + 416 * 2

               ≈ -1 + 832

               ≈ 831 cents

Therefore, the estimated daily change in profit when the salesperson increases the price of the first label by 1 cent and the price of the second label by 2 cents is 831 cents.

Learn more about profit function here:

https://brainly.com/question/16866047

#SPJ1

The following sentence shows one of the steps to construct a regular hexagon inscribed in a circle.

"Make a point A anywhere in the circumference for the first vertex. Place the compass on point A and draw an arc to create the next vertex of the hexagon."
Which of the following statements should be added to make this step correct?

The width of the compass needs to be set to equal half the radius of the circle.
The width of the compass needs to be set to equal the radius of the circle.
The width of the compass needs to be set to equal the diameter of the circle.

Answers

Answer:

the width of the compass needs to be set to equal half of the radius of the circle

Other Questions
According, to Ian Redpath and Brian O'Sullivan , a partner's basis in a partnership must be which of the following? a) $0 after distributions are made b) $0 at the end ofthe partnership year c) $0 or negative d) $0 or positive IN YOUR OWN WORDS AND DIFFRENT FROM THE ONE THAT IS POSTED ALREADY IN MINUMUM 400 WORDS PLEASE ANSWER THE QUESTION BELOWWhat are some distinctions made between academic and business writing? Writing should be taking seriously, what are a few ways to do that? What should be created in order to control faders, solos and mutes for multiple tracks? What information is contained in the specifications (technical specifications) of the project manual? Steel Company uses activity-based costing and reports the following for this year. Allocate overhead costs to a job that uses 40 machine hours and 30 direct labor hours. Maitiple Choice 55,410. $5,270 53,447 Project Management is a crucial part of ensuring the progress of the project meet the target completion date. Abandoned construction project indicates a poor operation management by the related parties in this project. Based on this scenario, the developer and contractor may not be able to achieve the targeted profit and fulfil demand from the client. (a) Analyse THREE (3) main project management functions based on the above problem (b) Illustrate Work Breakdown Structure (WBS) to mitigate the abandoned construction project. The classification of Machinery is 1. Revenue 2. Expense 3. Asset 4. Liability 5. Stockholders' Equity QUESTION 2 The account a company would use to accumulate the amount for unused paper in their office. 1. Accounts Payable 2. Supplies Expense 3. Prepaid Rent 4. Administrative Expense 5. Supplies QUESTION 3 Which of the following is true regarding the income statement? 1. The income statement reflects revenues, expenses and dividends declared during the period. 2. The income statement is sometimes called the statement of operations. 3. The income statement only reports expenses for which cash has been paid during the period. 4. The income statement reflects the financial position of a business at a particular point in time. Use the following information to calculate current assets: sales =$100 million, capital intensity ratio =0.5 times, debt ratio =30 percent, and fixed asset turnover ratio =5 times. Multiple Choice $10 m $15 m $30 m $50 m Country Furniture Company manufactures furniture at its Halifax, Nova Scotia, factory. Some of its costs from the past year include: Prime costs for Country Furniture Company totaled* 1 point $247,500. $92,000. $270,500. $368,500. Direct material costs for Country Furniture Company totaled* 1 point $115,000. $10,000. $82,000. $95,000. Direct labour costs for Country Furniture Company totaled* 1 point $115,000. $206,000. $270,500 $155,500. With reference to the hofstede's framework, a class or caste system that discourages upward mobility is more likely to exist in a nation that scores ________. Given that demand for some product can be modelled by \( D(p)=1,100-30 p \) with a fixed cost of \( \$ 2,600 \) and a variable unit cost of \( \$ 10 \), what price should be set to maximize revenue? Give your answer in dollars using two decimals. chegg what is the internet of things? group of answer choices all of the answers an interlinked system of everyday physical objects connected to the internet a social space for people to socially connect and create a network of networks Does the matrix have an inverse? If so, what is it? b. [2 5 -4 -10] a new distrubtion is fromeed by taking z score of eevry term ina dist5rubtion whose mean is 6 with a standard deviaiton of .6 Write a function searcharray, that will take in an array of decimal values, the size of the array, a minimum value, and a maximum value - This function should return True if there are any numbers in the array between the minimum and maximum values - This function should also print to console each value and index found for numbers between the min and max values Example: Array 5.3,0.12,3.33,9.82.7.8 mire 2.50 max:8 Output: > Searching the array for values in the range (2.5 to 8) > Found value 5.3 at index or > Found value, 3.33 at index 21 > Found value 7.8 at index 4! Blackwell United would like to sell an additional 800 shares of stock using the Dutch auction method. The bids received are as follows: Bidder Qty Price A 200 $34 B 400 $32 C 300 $31 D 900 $30 Bidder C will receive _____ shares at a price of _____ each. a. 267; $31.00 b. 267; $32.33 c. 300; $34.00 d. 300; $31.00 e. 300; $32.33 Please, discuss about the following topics: The elements of supply chain information system and its major characteristics. List the key areas for a manufacturing control system industrial automation. The alignment between business plan and execution of the business through an information system what gaps could happen. Elaborate the weaknesses of a forecasting system? What are the limitations? What are the recommendations? Why large information systems projects can go above or way above budget? What leads to this serious problem? Do you believe that information systems always lead to improve productivity? What is productivity? What is competitivity? How an information system can improve them? Is that possible? For each set of probabilities, determine if the events A and B are mutually exclusive. P(A)=1/2, P(B)=1/3, P(A or B)=2/3 In your opinion, if the PATCO strike were to happen today, doyou believe it would have the same impact or different? Explain ssuming she worked at a constant rate, how many rows had been completed before elena started working? 12 14 15 19