a round swimming pool has a circumference of 54 ft. Carrie wants to buy a rope to put across the diameter of the pool. the rope cost $0.85 per foot, and carrie need 3 feet more then the diameter of the pool. how much will carrie pay for the rope?

(A) cost of each battery is [tex]49 \;\rm{penny}\\[/tex].

(B) cost of each battery is [tex]\£\;0.465[/tex].

Given: Cost of a pack of [tex]8[/tex] batteries is [tex]\£\; 3.99[/tex].

According to question,

(A) Cost of each battery can be calculated as [tex]\£\;\frac{3.99}{8}=\£\;0.49875[/tex].

As we know that,

[tex]\£\;1=100 \;\rm{penny}\\\£\;0.49=49 \;\rm{penny}\\[/tex]

(B) costs of a pack of [tex]6[/tex] batteries is [tex]\£\; 2.79[/tex].

Cost of each battery can be calculated as [tex]\£\;\frac{2.79}{6}=\£\;0.465[/tex].

Therefore, (A) cost of each battery is [tex]49 \;\rm{penny}\\[/tex].

(B) cost of each battery is [tex]\£\;0.465[/tex].

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Answer:

(1,3)

Step-by-step explanation:

The statements that are true regarding quadrilateral ABCD include:

Based on the information given, ABCD has congruent diagonals and can be treated as a rhombus. This is because it's a regular quadrilateral.

It should be noted that ABCD can be treated as a rectangle and a parallelogram as well.

In conclusion, the correct options are 1, 2, and 5.

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Answer:

The remainder is 0

Step-by-step explanation:

A number divides evenly with another number if and only if the remainder is 0. This applies to all numbers and equations including binomials and polynomials. Anytime there is a remainder in a division it means that the denominator does not fit evenly anymore into the numerator.

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It depends on the number. Generally, it is false, expect in a few certain cases, such as 2 for example, as:

2 + 2 = 4

2 x 2 = 4

however, most other numbers do not work, such as, for example, 5

5 + 5 = 10

5 x 5 = 25

So it really depends on what "x" is.

hope this helps

Answer:

x = -4 or x = -16

Step-by-step explanation:

We have to solve equation x^2 + 20x + 100 = 36 and find the value of x

x² + 20x + 100 = 36

x² + 20x + 100 - 36 = 36 - 36

x² + 20x + 64 = 0

(x + 4 ) ( x + 16 ) = 0

x + 4 = 0 or x + 16 = 0

x = -4 or x = -16

Answer would be x = -4 or x = -16

The potential dimensions that could represent the original photograph and its enlargements, with the length being 1 2/5 times the width, are 5 by 7 inches for the original photograph, and 20 by 28 inches and 10 by 14 inches for the enlargements.

To find the dimensions of Sally's original photograph and the enlargements with the area having the given ratio of length to width as 1 2/5, we need to understand the relationship between the area of two similar objects and their linear dimensions. We are given that the original photograph has an area of 35 square inches, and the enlargements have areas of 140 and 560 square inches. With the length being 1 2/5 times the width in each case, we can work out the possible dimensions for these photographs.

Now, let's consider the list of dimensions provided and determine which ones correspond to an area ratio that matches the original photograph or the enlargements:

Conclusively, only some of the dimensions given match the requirements: 5 inches by 7 inches for the original photograph, 20 inches by 28 inches and 10 inches by 14 inches for the enlargements. They adhere to the concept that the ratio of their areas equals the ratio of the squares of their linear dimensions due to scaling.

Final answer:

The student's question involves setting up and solving a differential equation for the amount of salt in a tank where brine is added and mixed solution is removed at constant rates.

Explanation:

The problem is related to a differential equation modeling the amount of salt in a tank of water where the concentration changes over time. We are given a tank with an initial volume of 400 gallons of pure water. Brine with 3 pounds of salt per gallon is added at a rate of 4 gallons per minute, and the well-mixed solution leaves the tank at the same rate.

To find the number of pounds of salt a(t) in the tank at any time t, we can set up a differential equation based on the rates of salt entering and leaving the tank:

[tex]\(\frac{dA}{dt} = rate_{in} - rate_{out}\)[/tex]

Where A represents the amount of salt in the tank, \(rate_{in}\) is the rate at which salt enters the tank, and \(rate_{out}\) is the rate at which salt leaves the tank.

[tex]\(rate_{in} = 3 pounds/gallon \times 4 gallons/minute = 12 pounds/minute\)[/tex]

[tex]\(rate_{out} = \frac{A(t)}{400} \times 4 gallons/minute = \frac{A(t)}{100} pounds/minute\),[/tex] since the concentration of salt leaving is[tex]\(\frac{A(t)}{400}\) pounds/gallon.[/tex]

The differential equation becomes:

[tex]\(\frac{dA}{dt} = 12 - \frac{A}{100}\)[/tex]

This equation can be solved using the separation of variables or an integrating factor method, depending on the student's level of mathematical knowledge.

Answer:

Rectangle

Step-by-step explanation:

I got it wrong so i know this is the correct one

Answer:

A

Step-by-step explanation:

Mr. Fry will need 60 yards of fencing to encircle his pool, as the perimeter of the rectangular pool area is 180 feet and there are 3 feet in a yard.

To determine the total amount of fencing Mr. Fry will need, we calculate the perimeter of the rectangular area around the pool. The perimeter can be found by doubling the length then adding this to double the width. Therefore:

Perimeter = 2× Length + 2× Wid
= 2 × 60 feet + 2 × 30 feet
= 120 feet + 60 feet
= 180 feet

Now, knowing that 1 yard equals 3 feet, we can convert feet into yards:

Yards = Feet ÷ 3
= 180 feet ÷ 3
= 60 yards

Hence, Mr. Fry will need 60 yards of fence for his pool.

To determine the number of yards of fence Mr. Fry will build, we calculate the perimeter of the rectangular area (2 x (60 + 30) feet = 180 feet) and then convert it to yards (180 feet / 3 = 60 yards).

Mr. Fry is building a fence around his pool and wants to know how many yards of fence he will need. The fence has a length of 60 feet and a width of 30 feet. To find the total length of the fence in yards, we first calculate the perimeter of the rectangular fence which is 2 x (length + width). So, the perimeter in feet is 2 x (60 + 30) = 180 feet. Since 1 yard is equal to 3 feet, we divide the total number of feet by 3 to get the measurement in yards: 180 feet / 3 = 60 yards. Therefore, Mr. Fry will build 60 yards of fence.

Budget for personal selling =$200

Budget for sales promotion = $400

Budget for advertising =$1000

Budget for image promotion =$700

Total Budget =Adding all the values = 200 +400+1000 +700 = 2300

So total promotion budget for this year is $2300

Answer:

40/16 = 2.5 . 600 lbs +2.5 lbs = 602.5 lbs skull

Step-by-step explanation:

convert 40 oz lbs and then make it 40/16

The intersection of two planes can be found by solving the system of equations formed by the equations of the planes. In this case, the intersection is given by the equations x = (4 - 9y) / 6, y = y, and z = -3 - (23y/6), where y can be any real number.

The intersection of two planes can be found by solving the system of equations formed by the equations of the planes.

To find the intersection, we can set the two equations equal to each other and solve for x, y, and z.

Therefore, the intersection of the two planes is given by the equations x = (4 - 9y) / 6, y = y, and z = -3 - (23y/6), where y can be any real number.