Find the slope and y-intercept of the graph of the equation y=1/2x+7

According to the given charges, the mean of the sum would be as follows $1,692.5 and the difference of the amount of money earned by Jennie and Paul would be $-232.5

Mean:

In statistics, mean refers the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers

Given,

As Jennie charges $200 per passenger for a sunset sailing tour on her catamaran, while Paul charges $250 per passenger. we can define the amount of money each person earns per cruise as a random variable.

Here we need to find the mean and the difference of the amount of money earned by Jennie and Paul.

Let us consider x be the amount earned by Jennie and y be the amount earned by Paul.

While we looking into the given question , we have identified the value of the following,

=> Money earned by Jennie(A) = 200x

=> Money earned by Paul(B) =  250 X

Here the value of μ = $730 and σ = $ 192.62 for Jennie

And the value of Paul is μ = $962.5 and σ = $253.425

Then the mean of the sum is calculated as,

=> 730 + 962.5 = 1292.5

Similarly, the difference of the amount of money is calculated as,

=> -232.5

To know more about Mean here.

https://brainly.com/question/14882017

#SPJ4

Answer:

D) On average, Jennie makes $232.50 less than Paul in a typical cruise.

Step-by-step explantion

The dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.

Given that:

Total surface area of the rectangular box or cuboid = 100 cm²

A rectangular box with largest volume is a cube.

The total surface area of a cube = 6 times square of one edge length.

Let the edge length = given dimensions; x, y, z

So,

x = y = z

6x^2 = 100

x^2 = 100 / 6

x = √ 100 / 6

x = 10 / √ 6 cm

x = 2.449 cm

Hence, dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.

Learn more about cube surface area at: https://brainly.com/question/13789496

#SPJ4

Answer:

FIRST ONE "Deb sold vases for two years, neither sold nor bought the next year and then sold bases for two more years"

Step-by-step explanation:

Notice the number of bases in debs collection is DECREASING as the years passes for the first and third period. This is she is selling her vases but in the middle the number is the same (two point in the same horizontal line) this means she neither sold nor bought any vase in that period.

Ann should have switched the inequality symbol to not include 16 as a possible choice. The correct answer would be an option (C).

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

As per the question, we have been given that Ed's birthday is less than 16 days

away and that Ann writes the inequality

d ≤ 16, where d equals the number of days, to represent this.

Thus, He should have switched the inequality symbol to not include 16 as a possible choice.

Hence, the correct answer would be an option (C).

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ1

According to the question an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.

Two equations are considered to be comparable when their roots and solutions line up. To create an equivalent equation, the identical quantity, symbol, or expression has to be added to or removed from both of the equation's two sides. We can also create a similar equation by dividing or multiplying each component of an equation with a nonzero value.

given,

To determine which equation would give a bigger value, we can compare the expressions obtained by expanding Equation A and simplifying Equation B.

Expanding Equation A, we get:

A = (C + D) x (C + D) = C² + 2CD + D²

Simplifying Equation B, we get:

B = 2 x (C + D) = 2C + 2D

To compare the values of A and B, let's choose some values for C and D that are greater than zero. Let's choose C = 3 and D = 2.

Plugging these values into Equation A, we get:

A = 3² + 2(3)(2) + 2² = 9 + 12 + 4 = 25

Plugging these values into Equation B, we get:

B = 2(3 + 2) = 2(5) = 10

Since A is greater than B for the values of C = 3 and D = 2, we can conclude that Equation A gives a bigger value than Equation B for positive values of C and D.

Therefore, an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.

To know more about equation visit:

brainly.com/question/2972832  

#SPJ1

Answer: 15.00

Step-by-step explanation:

just multiply 1.50 times 10

Answer:

3 cups clearly

Step-by-step explanation:

Answer: He will need one cup of milk per serving, so he needs 3 total

Step-by-step explanation: 1 x 3 = 3

Answer:

6

Step-by-step explanation:

This is an inequality.

This is what the statement should look like: \(57 > x - 8\)

Now, you can actually "properly" reverse these meaning the equality sign changes too. So basically you can mirror them.

The "mirrored" inequality expression would look like this: \(x - 8 < 57\)

Now just like normal algebra, you can transpose these terms from 1 side to another and so, -8 would transpose to the right hand side and the operation would be the inverse or in this case, addition. The expression would look something like this: \(x < 57 + 8\)

Add them up and you get: \(x < 65\) :D

Answer:

a = b = 3√2

Step-by-step explanation:

Use trigonometry:

\( \sin(45°) = \frac{a}{6} \)

Cross-multiply to find a:

\(a = 6 \times \sin(45°) = 6 \times \frac{ \sqrt{2} }{2} = \frac{6 \sqrt{2} }{2} = 3 \sqrt{2} \)

Use the Pythagorean theorem to find b:

\( {b}^{2} = {6}^{2} - {a}^{2} \)

\( {b}^{2} = {6}^{2} - ( {3 \sqrt{2}) }^{2} = 36 - 9 \times 2 = 36 - 18 = 18\)

\(b > 0\)

\(b = \sqrt{18} = 3 \sqrt{2} \)

Answer:

4

Step-by-step explanation:

The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.

To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.

Given the table:

X: 2 0 4

Y: -4 3 1

We can plot these points on a graph and see that they form a straight line.

Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.

Based on the given options, we can now evaluate each equation to see which one represents the line:

Y = 1/2x + 5

When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.

Y = -1/2x + 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.

Y = 2x - 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.

Y = -4x + 2

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.

In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.

For more question on equation visit:

https://brainly.com/question/29174899

#SPJ8

Answer:

3

Step-by-step explanation:

Numbers of beads used in making triangles:

3, 6, 10, 15, 21, 28, 36, ...

We need to pick a few numbers from those above that add to 41.

3 + 10 + 28 = 41

Answer: 3 triangles

Answer:

455.81

Step-by-step explanation:

Answer:

the solution to the system of equations is (x, y) = (3, -2).

Step-by-step explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2

The correct statement to prove the theorem is Δ ABC ≅ Δ DCB by SAS rule.

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Given is a rectangle, ABCD, we need to prove that the diagonal are congruent.

Considering the triangles Δ ABC and Δ DCB ;

AB = DC [properties of a rectangle]

BC = BC [reflexive property]

∠ B = ∠ C [right angles]

Therefore, Δ ABC ≅ Δ DCB by SAS

AC = BD by CPCTC

Which, are the diagonals.

Hence, the correct statement to prove the theorem is Δ ABC ≅ Δ DCB by SAS rule.

Learn more about parallelogram click;

https://brainly.com/question/29147156

#SPJ1

Answer:

360 - 169 equals 191

Step-by-step explanation:

191

The value of cost of wall-to-wall carpeting in room is,

⇒ 27.916

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

WE have to given that;

Dimensions of room is,

⇒ 24' x 17'

And, Carpeting is on sale for 9.97 per square yard.

Now, Area of room is,

⇒ A = 24' × 17'

⇒ A = 2 × 17/12 yards²

⇒ A = 2.8 inhces²

Since, Carpeting is on sale for 9.97 per square yard.

Hence, The value of cost of wall-to-wall carpeting in room is,

⇒ 9.97 x 2.8

⇒ 27.916

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ1

Step-by-step explanation:

please mark me as brainlest

Answer:

(x,y)⟶(x+5,y+6)

Step-by-step explanation:

First lets identify what we are doing. We know that 6 units up is a verticle translation. We know that going up numbers means that the number are being added, so we know that it will be a plus six. Next, we know that we are going five units to the right. We know that going right in terms of numbers means that that number is getting bigger, and is having numbers added. As such, we know that the horizontal translation of five units right will be positive, so it would be plus five. Remember when going left, you are subtracting a number, and when going right, you are adding. Also, we must make sure that we understand that the verticle translation changes the y coordinate, while the horizontal translation changes the x coordinate.

So we can put together what we learned.

The answer is:

(x,y)⟶(x+5,y+6)

Answer:

$35.70

Step-by-step explanation:

small package: 2.10×6=12.60

large package: 3.30×7=23.10

total: 23.10+12.60=35.70

Answer:

dad paid 37.19

Step-by-step explanation:

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

Learn more about the total Surface Area of the Cone :

https://brainly.com/question/15153049

Answer:

3,419,580

Step-by-step explanation:

i dont explain

Answer:

34,195,980 or 34.1

Step-by-step explanation:

Step-by-step explanation:

2πr

2x 3.14 x 8.1 = 50.22in

Answer:

i

Step-by-step explanation:

Answer:

12 feet

Step-by-step explanation:

use the pythagorean theorem to figure out what the hypotenuse is

3.5^2+3.5^2=x^2

12.25+12.25=x^2

25=x^2

x=5

now that you know the hypotenuse, you can find the perimeter by adding up all the sides

3.5+3.5+5=12

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

For more such questions on implicit differentiation visit:

https://brainly.com/question/25081524

#SPJ8

Answer: The answer is D. 121.43

I hope this helps!

Step-by-step explanation:

121.43 x 0.3 =  36.429

Round it up to 36.43

121.43 - 36.43 = 85.00