What is the product of the expressions? Assume y ≠0 -1(3x/2y)

Answer:

C

Step-by-step explanation:

x + 2y = 6

isolate x through

x = 6-2y . . . (iii)

Substitute equation (iii) in equation (i)

7x - y = 7

7(6 - 2y) - y = 7

42 - 14y - y = 7

42 - 15y = 7

Collecting Like terms

-15y = 7 - 42

-15y = -35

-15y = -35

-15 -15

y = 7

3

y =

\(2\frac{1}{3} \)

Substitute y in equation (iii)

x = 6 - 2y

x = 6 - 2 × 7

3

x = 6 - 14

3

x =

\(1\frac{2}{3} \)

Answer:

c is the right answer

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

20 × 7 = 140

217 - 140 = 77

77 ÷ 7 = 11

Check:

20 + 11 = 31

31 × 7 = 217

Answer:

5,386,830

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

fraction of water = 1 - (1/2 + 1/3)

)\(\frac{1}{2} + \frac{1}{3}\)

\(\frac{3 + 2}{6}\)

5/6

1 - 5/6

6/6 - 5/6 = 1/6

Option(A) i.e, 60 sq. feet is an answer.

The area of a rectangle is the number of unit squares that its perimeter includes. A rectangle's area is the area it takes up within the confines of its four sides. The area of a rectangle is determined by its dimensions. A rectangle's area is essentially equal to the product of its length and breadth. A shape's area is defined as the "space enclosed within the perimeter or the boundary" of the given shape.

The area of a rectangle can be calculated using the formula Area of rectangle = length × width.

Given, length = 15 feet, width = 4 feet

put these values in given formula,

Area of rectangle =  15 * 4

                              = 60 square feet

Hence, the answer is option(A)  i.e, 60 sq. feet.

To read more about Area of rectangle.

https://brainly.com/question/25870256

#SPJ9

The number of communication channels, 10 channels would five people require.

To find number of communication channels, we use;

On the other hand, it might be a sign of the scope and intensity of the project communication management needed in huge projects and so-called megaprojects. This could, for example, entail allocating specific resources to project communication responsibilities in accordance to the number of available channels for communication. These factors may be especially important for teams working on sensitive projects and projects where information flow may be unclear or even fraudulent.

Number of potential communication channels = n x (n-1)/2

Given n = 5;

→ x = 5*(5 - 1)/2

     = 5*2

     = 10

The number of communication channels, 10 channels would five people require.

To learn more about communication click here:

https://brainly.com/question/28903982

#SPJ4

The values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

To find ∂z/∂r and ∂z/∂s, we need to differentiate z = F(u, v, w) with respect to r and s.
Given that u = r^2, v = -2s^2, and w = ln(r) + ln(s), we can substitute these values into z = F(u, v, w).
So, z = F(r^2, -2s^2, ln(r) + ln(s)).
To find ∂z/∂r, we differentiate z with respect to r while treating s as a constant. This gives us:
∂z/∂r = ∂F/∂u * ∂u/∂r + ∂F/∂w * ∂w/∂r.
Similarly, to find ∂z/∂s, we differentiate z with respect to s while treating r as a constant. This gives us:
∂z/∂s = ∂F/∂v * ∂v/∂s + ∂F/∂w * ∂w/∂s.
Since we don't have the specific function F(u, v, w) mentioned in the question, we cannot determine the values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

To know more about partial derivatives, visit:

https://brainly.com/question/28751547

#SPJ11

Answer:

C. slope

Greetings !

The symbol for slope is "m". Slope can be calculated by taking any two locations along a line and calculating the ratio of the RISE to the RUN (the ratio of the difference between vertical positions of the locations to the difference between horizontal positions of the locations).

Answer: slope.

Step-by-step explanation:

Answer:

102m^2

Step-by-step explanation:

2x3x17=102m^2

can u pls mark brainliest :)

Answer:

182 m²

Step-by-step explanation:

The formula for surface area of a rectangular prism is;

Surface Area = 2(wl) + 2(lh) + 2(hw) where w is the width, l is the length and h is the height.

SA = 2(2 * 17)m² + 2(17 * 3)m² + 2(3 * 2)m²

     = 2(34)m² + 2(51)m² + 2(6)m²

     = 68 m²  + 102 m² + 12 m²

     = 182 m²

Replace m with 12 and simplify.

m-8 = 12-8 = 4

Answer:

and 4x-5x-4x+3y+7y-3y-8z+10z-8z

-5x+7y-6z :this is the answer

Answer:

1 1/16

explanation:

its 1/16 of a pound because its half a serving and a serving is 1/8 of a pound

The statistical model is not good, and this is true for a negatively skewed curve.

It is a statistical term implies that a curve is skewed at the left side.

In a statistical data for a certain distribution, we can get a negatively skewed curve when most of the data values are located on the right side of the distribution graph. The high concentration of values on the right side of distribution curve forms a long tail in the negative direction.

In general, negatively skewed curve is not good because it expresses the tendency of left tail events. Negatively skewed curves indicate a poor return from an investment. That means a person might be earn lower or no profit from his business. In case of an exam scores, negative skewed data value implies the question was too easy to perform better than usual.

In a word, left skewed or negatively skewed curve or data values inform us to be aware about the current statistical model and inspire us to take proper steps for wellbeing.

To know more about negatively skewed curve visit:

https://brainly.com/question/6351577

#SPJ4

The water output rate for Reed's sprinkler is 25L/hour. We have to find the water output rate for each sprinkler if the sum of the two rates was 45L per hour. We know that the Rogers family sprinkler was used for 15 hours and the Reed family sprinkler was used for 30 hours.

Therefore the combined time the two sprinklers were used for was:15 + 30 = 45 hours

Therefore, The Rogers family's sprinkler output rate: r₁

The Reed family's sprinkler output rate: r₂

Given that the sum of the two rates was 45L per hour: r₁ + r₂  = 45 -----Equation (1)

Now, let's calculate the water output of each sprinkler using their respective times:

Water output of Rogers' sprinkler = r₁ × 15

Water output of Reed's sprinkler = r₂  × 30

The total output was 1050L:

r₁ × 15 + r₂  × 30 = 1050 -----Equation (2)

We have two equations and two variables. We will solve for r₁ and r₂ :

r₁ + r₂ = 45r₂ = 45 - r₁

Substituting the value of r₂ in equation (2), we get:

r₁ × 15 + (45 - r₁) × 30 = 105015r₁ + 1350 - 30r₁

= 1050-15r₁

= -300r₁

= 20r₂

= 45 - r₁

= 45 - 20 = 25

Therefore, The water output rate for Rogers' sprinkler is 20L/hour.

To know more about output rate, refer

https://brainly.com/question/31590079

#SPJ11

Answer:

\(\huge\boxed{\bf\:(x + 2y)^{2} - 3}\)

Step-by-step explanation:

\(x ^ { 2 } +4xy-3+4y ^ { 2 }\)

Rearrange the terms.

\(x ^ { 2 } +4xy+4y ^ { 2 } - 3\)

Here, x² + 4xy + 4y is in the form of the algebraic identity ⟶ x² + 2xy + y² = (x + y)². Then, here, x = 1 & y = 2y.

\((x + 2y)^{2} - 3\)

Leave 3 as it is as 3 can't be further simplified. So, the final answer is:

\(\boxed{\bf\:(x + 2y)^{2} - 3}\)

\(\rule{150}{2}\)

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To know more about polar form visit

https://brainly.com/question/30824428

#SPJ11

A graph that represents the function f(x) = (x-4)(x-2) is shown in the image attached below.

In Mathematics, a quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two (2) or more variable on a graph, with a maximum exponent of two.

Next, we would use an online graphing calculator to plot the given quadratic function as shown in the graph attached below.

Generally speaking, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped. For this quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0).

In conclusion, the vertex of this quadratic function is at (3, -1).

Read more on quadratic functions here: brainly.com/question/24020644

#SPJ1

Step-by-step explanation:

slope = (y2-y1) / (x2-x1)

equation of the line y2 - y1 = m(x2-x1),

y2 = m(x2-x1) +y1

y2-y1 = -2(x2- (-3))

y2-y1 = -2x -6

y2 - 1 = -2x -6

y2 = -2x -5

209 weeks would be taken by the crew to repair 2512 long section of road.

What do you mean by unitary method?

The unitary method is a method of solving a problem by first finding the value of a single unit, then multiplying the value of that single unit to find the necessary value.

Here, it is given to us that a road construction crew can repair a 12 mile section of road each week.

Using unitary method,

Number of week taken by crew for 12 mile section of road = 1 week

Number of week taken by crew for 1 mile section of road = 1/12 week

Number of week taken by crew for 2512 mile section of road = (1/12) × 2512 weeks = 209.333333 weeks ≈ 209 weeks

Therefore, 209 weeks would be taken by the crew to repair 2512 long section of road.

To learn more about the unitary method from the given link.

https://brainly.com/question/12024093

#SPJ4

Answer:

2) 24

3) 13

4) 27

Step-by-step explanation:

2) 3(2)^4-1=3(2)^3=24

3) 3(5)-2=15=2=13

4) 4(6-1)+7=4(5)+7=20+7=27

The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.

To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.

Let x be the number of acres of corn and y be the number of acres of soybeans.

1. Total acre constraint: x + y ≤ 6,000

2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501

3. Labor constraint: 0.75x + y ≤ 5,250

The objective function to maximize is the profit function: P(x,y) = 75x + 40y

Now, we will use the Solver to find the maximum profit:

Step 1: Set up a spreadsheet with the constraints and the objective function.

Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.

Step 3: Set the objective function by selecting the cell with the profit function.

Step 4: Choose "Max" for the objective.

Step 5: Add the constraints by selecting the corresponding cells.

Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.

After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83

Learn more about Linear programming:

https://brainly.com/question/14309521

#SPJ11

For the given fraction x^2-8x+16/x^2-16 if x≠4 and x≠-4 the simplified fraction is (x-4)/(x+4).

Simplified fraction refers to the fractions in their lowest form which has been reduced and simplified. The numerator and denominator in the fraction are reduced in simplified fraction to the extent that the only common factor between them is 1.

In order to simplify the fraction (x^2-8x+16)/(x^2-16), first, we must factor the numerator and denominator of the fraction:

Numerator: x^2-8x+16 = (x-4)(x-4) = (x-4)^2

Denominator: x^2-16 = (x-4)(x+4)

So the fraction becomes:

(x-4)^2/(x-4)(x+4)

Next, we can simplify the fraction by canceling out the (x-4) term in the numerator and denominator:

(x-4)/(x+4)

Therefore, the simplified fraction is (x-4)/(x+4) if x≠4 and x≠-4.

Learn more about Simplified fraction:

https://brainly.com/question/15178106

#SPJ11

Based on the vacation days that Lisa got when she first started her current job, the equation that models the relationship between the number of years worked and paid vacation days is y = 3x + 2

The number of paid vacation days to Lisa increases by 3 days every year. This is in addition to the 2 days that Lisa got when she first started the job.

The relationship between the vacation days and the number of years worked is therefore:

Number of paid vacation days = Number of years x Increase in paid vacation days annually + Number of paid vacation days when job started

y = 3x + 2

Full question is:

When Lisa started at her current job, her employer gave her two days of paid vacation time with a promise of three additional paid vacation days for each year she remains with the company to a maximum of four work weeks of paid vacation time.

Let x represent the number of years she has worked for this employer and y represent the number of paid vacation days she has earned. Write an equation that models the relationship between these two variables.

Find out more on paid vacation days at https://brainly.com/question/18039036

#SPJ1

Answer:

The answer is B. i.e. 6.6units.

Answer:

im pretty sure it would be 15%

Step-by-step explanation:

so A

The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

Learn more about cylinder at:

https://brainly.com/question/9554871

#SPJ1

Answer: 1/3

Step-by-step explanation:

multiples of 3 in bag = 3 and 6

probability = 2/6

simplified fraction = 1/3

Answer:

a)  $8.80

b)  40%

Step-by-step explanation:

Part (a)

Given:

Original price - discounted price

= $22 - $13.20

= $8.80

Part (b)

percentage = (amount discounted ÷ original price) x 100

                    = (8.80 ÷ 22) x 100

                    = 40%