Marcia and Becky shared some money
in the ratio 1:4
Marcia gets £18 less than Becky. How
much does Marcia receive?

Answer:

c

Step-by-step explanation:

Answer:the answer is 90

Step-by-step explanation:

Based on the information provided, Railway Cabooses paid an annual dividend of $2.50 per share. However, the company has been reducing its dividends by 11.7 percent each year.

To calculate the current annual dividend, we can use the formula: current dividend = previous dividend * (1 - dividend reduction rate).
So, the current annual dividend would be $2.50 * (1 - 0.117) = $2.21 per share. To determine how much you should pay to purchase stock in this company, we need to use the dividend discount model.
The formula for this model is stock price = annual dividend / (required rate of return - dividend growth rate).
Plugging in the values from the problem, we get:
Stock price = $2.21 / (0.13 - 0.117) = $34.15 per share.
Therefore, if your required rate of return is 13 percent, you should be willing to pay $34.15 per share to purchase stock in Railway Cabooses.

for more information on the annual dividends see:

https://brainly.com/question/15871366

#SPJ11

The area of the base of the gift box is 660 square inches.

We have to find the area of the base.

As we observe the bases, there are two rectangles.

One rectangle which has length of 24 in and width of 20 in.

Area of rectangle is length times width:

Area =24×20

Area = 480 square inches.

second rectangle which has length of 18 in and width of 10 in.

Area =18×10

=180 square inches.

Area of base =180+480

=660 square inches.

Hence, the area of the base of the gift box is 660 square inches.

To learn more on Area click:

https://brainly.com/question/20693059

#SPJ1

Step-by-step explanation:

parallel means same slope/gradient

2y = 3x + 10

y = 1.5x + 5

let equation be y = 1.5x + b

sub (2, -5)

-5 = 1.5(2) + b

b = -8

therefore y = 1.5x - 8

Topic: Coordinate Geometry

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

Answer:43675869KM

Step-by-step explanation:

If speed is important and the array is large, the a. Binary search algorithm should be used. This algorithm is designed to efficiently search through sorted arrays by repeatedly dividing the search interval in half.

It has a time complexity of O(log n), which means that as the size of the array increases, the time it takes to search for an item will not increase at the same rate.
On the other hand, ascending bubble sort and other sorting algorithms such as selection sort and insertion sort have a time complexity of O(n^2), which means that as the size of the array increases, the time it takes to sort the array will increase exponentially. Therefore, these algorithms are not efficient for large arrays and should not be used if speed is important.
In summary, when dealing with large arrays and speed is important, binary search is the best algorithm to use for searching, while ascending bubble sort and other sorting algorithms with a time complexity of O(n^2) should be avoided.

To learn more about the Binary search algorithm, refer:-

https://brainly.com/question/29734003

#SPJ11

Answer:I think that what you put is correct but I honestly have no idea. Sorry.

Step-by-step explanation:

This question is incomplete

Complete Question

A baker uses 5.5 Ibs of flour daily

The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?

Answer:

51.3 loaves of bread

Step-by-step explanation:

Converting 5.5 Ibs to oz (ounces)

1 Ibs =>12 oz

5.5 Ibs => x

Cross Multiply

12 × 5.5 => 88 oz

1 loaf of bread =>12 oz

Hence, in 1 day

12 oz =>1 loaf of bread

88 oz => x

x =>88 oz/ 12 oz

x => 7.3333333333 loaves of bread

Hence, he can make 7.3333333333 loaves of bread in 1 day

Hence, in 7 days

1 day => 7.3333333333 loaves

7 days => x

x => 7 × 7.3333333333 loaves

x => 51.333333333 loaves of bread

Approximately => 51.3 loaves of bread

Answer:18/35

Step-by-step explanation: 6*3 = 18

7*5 = 35

18 /35

Answer: 18/35

Step-by-step explanation:

6*3=18

7*5=35

18/35

Answer:

unlikely

Step-by-step explanation:

Answer:

a₅ = 1701

Step-by-step explanation:

\(a_1=7\\\\a_n=-4a_{n-1} + n\\\\a_2 = -4*a_1 + 2\\\\\)

    = -4*7 + 2

    = -28 + 2

   = -26

a₃ = -4a₂ + 3

    = -4*(-26) + 3

    = 104 + 3

    = 107

a₄ = -4a₃ + 4

    = -4*107 + 4

   = -428 + 4

  = -424

a₅ = -4a₄ + 5

    = -4*(-424) + 5

    = 1696 + 5

   = 1701

The task requires analyzing a list of departments and performing several tasks related to relationship codes, activity relationship diagrams, reason codes, a worksheet, and a dimensionless block diagram.

We need to consider the number of departments. Since we have 7 departments listed, the number of relationship codes can be calculated using the formula: (n * (n-1)) / 2, where n is the number of departments.

Substituting the value of n = 7, we get:

Relationship Codes = (7 * (7-1)) / 2

= (7 * 6) / 2

= 42 / 2

= 21

Therefore, there will be 21 relationship codes in the chart.

Create an activity relationship diagram:

An activity relationship diagram visually represents the relationships between departments. Here is a basic diagram representing the given departments:

Receiving --+

           +-- Assembly & Shipping -- Offices

Fabrication--+

           +-- Painting -- Stores

Restrooms & Lockers

Populate the diagram with codes for all the relationships:

To populate the diagram with codes, we can assign a unique code to each relationship. Here's an example of assigning codes to the relationships in the diagram:

Receiving (R) --+

               +-- Assembly & Shipping (AS) -- Offices (O)

Fabrication (F)--+

               +-- Painting (P) -- Stores (S)

Restrooms & Lockers (RL)

What is the percentage of codes in each category? Does it follow the standard percentages?

To determine the percentage of codes in each category, we need to count the number of codes in each category and calculate the percentage relative to the total number of codes (21).

In this case, we have the following categories and their respective codes:

Production: R, F, AS, P (4 codes)

Administration: O, S (2 codes)

Support: RL (1 code)

Percentage of Production codes = (4 / 21) * 100 ≈ 19.05%

Percentage of Administration codes = (2 / 21) * 100 ≈ 9.52%

Percentage of Support codes = (1 / 21) * 100 ≈ 4.76%

These percentages do not necessarily follow any standard percentages. The distribution of codes among categories can vary depending on the specific organization or context.

Provide at least 3 reason codes for the chart:

Reason codes are used to provide explanations or justifications for the relationships depicted in the chart. Here are three example reason codes for the given chart:

R01: Receiving department receives raw materials and supplies from external sources.

AS01: Assembly & Shipping department assembles products and prepares them for shipment.

O01: Offices department provides administrative support and management functions for the organization.

Create a worksheet to assist in the creation of the dimensionless block diagram:

Here's an example of a worksheet that can assist in creating the dimensionless block diagram:

Relationship Code From Department To Department

R Receiving Fabrication

F Fabrication Painting

AS Assembly & Shipping Offices

P Painting Stores

RL Restrooms & Lockers -

O Offices -

S Stores -

This worksheet lists the relationship codes along with the corresponding "From" and "To" departments.

Create a dimensionless block diagram for your data B. Show the flow through the dimensionless block diagram:

A dimensionless block diagram represents the flow of activities or information between different departments. Here's an example of a dimensionless block diagram based on the given data:

Receiving --> Fabrication --> Painting --> Stores

                  |

                  v

        Assembly & Shipping --> Offices

                  |

                  v

       Restrooms & Lockers

The arrows indicate the flow of activities or information from one department to another.

Learn more about Calculate here:

https://brainly.com/question/30151794

#SPJ11

Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

We are spinning all the way around z, so we have θ ∈ [0, 2\(\pi\)]. We get:

V = ∫(limit taking 0 to 2\(\pi\))∫(limit 0 to 3/\(\sqrt{2}\))∫(limit r to \(\sqrt{9-r^2}\)) r dz dr dθ

For the situation above, we definitely want to use some form of polar coordinates. Either spherical coordinates or cylindrical coordinates are good choices here, and our choice has been made for us. Recall the relations between rectangular coordinates and cylindrical coordinates:

x = r cos θ

y = r sin θ

z = z

\(r^2=x^2+y^2\)

\(\theta =tan^-^1\frac{y}{x}\)

dV = r dz dx dθ

Note that in cylindrical coordinates, the sphere can be written \(z=\sqrt{9-r^2}\)

and the cone can be written  z = r. Further, we have \(r\leq z\leq \sqrt{9-r^2}\). We ara looking at the ice cream cone shaped region that lies within both surfaces. Clearly r is bounded below by 0. It is bounded above by the intersection of the surfaces.

\(r=\sqrt{9-r^2}\)

\(r^2=9-r^2\)

\(2r^2=9\\\\r^2=\frac{9}{2}\\\\\\\)

\(r=\frac{3}{\sqrt{2} }\)

We are spinning all the way around z, so we have θ ∈ [0, 2\(\pi\)]. We get:

V = ∫(limit taking 0 to 2\(\pi\))∫(limit 0 to 3/\(\sqrt{2}\))∫(limit r to \(\sqrt{9-r^2}\)) r dz dr dθ

Learn more about Cylindrical coordinates at:

https://brainly.com/question/30394340

#SPJ4

The similar question is:

Set up (do not evaluate) a triple integral in cylindrical coordinates to find the volume of a solid bounded by the sphere  x2 + y2 + z2 = 9 and the cone \(z=\sqrt{x^{2} +y^2}\)

The value of p for given inequality would be:

p is greater than or equal to negative twenty one halves

In this question, we have been given a statement for an inequality.

two thirds times p plus 10 is greater than or equal to 3

i.e., (2/3)p + 10 ≥ 3

We need to find the value of p

(2/3)p + 10 ≥ 3

(2/3)p + 10 -10 ≥ 3 - 10

(2/3)p ≥ -7

(2/3)p * (3/2) ≥ -7 (3/2)

p ≥ -21/2

This means, p is greater than or equal to negative twenty one halves

Therefore, the value of p for given inequality would be:

p is greater than or equal to negative twenty one halves

Learn more about an inequality here:

https://brainly.com/question/19003099

#SPJ1

The All the expressions that are equivalent to "3.5 - (4.7)" are (b) -4.7 + 3.5 and (e) 3.5+ (-4.7)  .

to find the equivalent expressions , we solve the expressions :

the main expression is 3.5 - (4.7) = -1.2 ;

Simplifying the expressions :

(a) 4.7 - (3.5) = 1.2    False

(b) -4.7 + 3.5 = -1.2   True

(c) 3.5 + 4.7 =  8.2  False

(d) 3.5 - (-4.7) = 3.5 + 4.7 = 8.2   False

(e) 3.5 +(-4.7) = 3.5 - 4.7  = -1.2   True

So , the only value of the expressions that matches with the main expressions are (b) -4.7 + 3.5 and (e) 3.5+ (-4.7)  .

The given question is incomplete , the complete question is

Select ALL of the expressions that are equivalent to "3. 5 - (4. 7)"

(Select all that apply. )

(a) 4.7 - (3.5)

(b) -4.7 + 3.5

(c) 3.5 +4.7

(d) 3.5 - (-4.7)

(e) 3.5 + (-4.7)

Learn more about Expressions here

https://brainly.com/question/18263778

#SPJ4

Answer:

x=43.3

Step-by-step explanation:

Answer:

wrong subgect

Step-by-step explanation:

Answer:

Andre's: Min = 18, Q1 = 23.5, Median = 28.5, Q3 = 31.5, Max = 35, IQR = 8

Lin's: Min = 15, Q1 = 19, Median = 21.5, Q3 = 24, Max = 33, IQR = 5

Noah's: Min = 10, Q1 = 12.5, Median = 19, Q3 = 22.5, Max = 25, IQR = 10

Step-by-step explanation:

The smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.

What is the intermediate value theorem?

Intermediate value theorem is theorem about all possible y-value in between two known y-value.

x-intercepts

-x^2 + x + 2 = 0

x^2 - x - 2 = 0

(x + 1)(x - 2) = 0

x = -1, x = 2

y intercepts

f(0) = -x^2 + x + 2

f(0) = -0^2 + 0 + 2

f(0) = 2

(Graph attached)

From the graph we know the smallest positive integer value that the intermediate value theorem guarantees a zero exists between 0 and a is 3

For proof, the zero exists when x = 2 and f(3) = -4 < 0 and f(0) = 2 > 0.

Your question is not complete, but most probably your full questions was

Given the polynomial f(x)=− x 2 +x+2 , what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a ?

Thus, the smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.

Learn more about intermediate value theorem here:

brainly.com/question/28048895

#SPJ4

The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

To learn more about simplification of expression link is here

brainly.com/question/14526172

#SPJ4

The surface area of the hemisphere after rounding to the nearest tenth is 161.5 \(cm^2\).

We are given the circumference of the great circle of the hemisphere and we have to find the surface area of the hemisphere. The circumference of the great circle of the hemisphere is given as 26 cm. Now, to find the surface area, we will first determine the radius of the hemisphere and then apply the formula for surface area.

Circumference = 2\(\pi\)r

2\(\pi\)r = 26

\(\pi\)r = 13

r = 13/\(\pi\)

Now, we know the radius and we will apply the formula for the area of the hemisphere.

A = 1/2(4\(\pi\)\(r^2\)) + \(\pi\)\(r^2\)

A = 1/2(4\(\pi\)(\(\frac{13}{\pi}\)\()^2\)) + \(\pi\)(\(\frac{13}{\pi }\)\()^2\)

= 2(169/\(\pi\)) + (169/\(\pi\))

= 3(169/\(\pi\))

= 161.46 \(cm^2\)

Therefore, the surface area of the hemisphere after rounding to the nearest tenth is 161.5 \(cm^2\).

To learn more about the surface area of the hemisphere;

https://brainly.com/question/31817321

#SPJ4

The height of the building is approximately 79.22 meters, rounded to the nearest meter.

To calculate the angle of elevation, we use the tangent function, which is defined as the ratio of the opposite side to the adjacent side of a right triangle.

We know that the pole is 3.5 meters tall, and its shadow is 1.77 meters long. We can use this information to calculate the angle of elevation of the sun's rays, which is the angle formed between the horizontal line and the line of sight from the top of the pole to the sun.

In this case, the opposite side is the height of the pole (3.5 meters), and the adjacent side is the length of the shadow (1.77 meters). Therefore, we have:

tan(angle of elevation) = opposite/adjacent = 3.5/1.77

Using a calculator, we can find that the angle of elevation is approximately 63.24 degrees.

Now, we can use this angle to find out the height of the building. We know that the shadow of the building is 43.5 meters long, and we want to find its height, which is the opposite side of the right triangle formed by the angle of elevation and the length of the shadow. Therefore, we have:

tan(63.24 degrees) = opposite/43.5

Solving for the opposite, we get:

opposite = 43.5 * tan(63.24 degrees) = 79.22 meters

To know more about angle of elevation here.

https://brainly.com/question/21137209

#SPJ4

Answer:

279 miles

Step-by-step explanation:

First, subtract the base fee from his total charge:

248.52 - 16.95

= 231.57

Divide this by 0.83 to find how many miles he drove:

231.57/0.83

= 279

So, he drove 279 miles