earle bailey has 20 songs to choose from but can play only 7 in the next half-hour on sirius xm classic.how many different (ordered) playlists are possible

Answers

Answer 1

Applying combination, the number of playlist is: 75,435.

How to Apply Combination to Solve a Problem?

A combination is a way of selecting a certain number of items from a larger set, without regard to the order of the items.

The number of possible playlists would be the number of ways to select 7 songs out of 20 without regard to order, which is commonly known as a combination.

The formula for combination is nCr, where n is the total number of items and r is the number of items being chosen at a time. So in this case, the number of possible playlists would be 20C7.

This can also be written as 20!/(7!*13!)

The answer is 75,435

Learn more about combination on:

https://brainly.com/question/11732255

#SPJ1


Related Questions

What is the name of the relationship between Angle 1 and Angle 4?

Answers

Answer: alternate exterior angles

Step-by-step explanation:

They are equals if the two intersected lines by the transversal are parallel. In the figure, angles 1 and 4 are alternate exterior angles. Angles that are on opposite sides of the transversal of two other lines.

Suppose Randy has 1/4 of a round cake and 1/4 of a square cake. Are the wholes the same? Does the sum 1/4 + 1/4= 2/4 make sense in this situation? Explain

Answers

Randy's cake situation will be better solved in the following manner:

a) If the area of a round cake and a square cake are different then the quarter portion will be different.

b) Though as a concept 1/4 + 1/4 = 2/4, it is not actually true in this case. If the area of different cakes are different then the quarters will also be different.

Measuring a particular region or patch of a figure is its area. Area is significant in contemporary mathematics. Area is crucial in geometry and calculus, but it also plays a role in the definition of determinants in linear algebra and is a fundamental characteristic of surfaces in differential geometry.

To learn more about area: https://brainly.com/question/22972014

#SPJ4

you can answer any 12 questions from a total of 14 questions on an exam. in how many different ways can you select the question?

Answers

In 420 ways different ways can you select the question.

you can answer any 12 questions from a total of 14 questions on an exam

At least 8 questions, including 3 from the last section, must be attempted out of the 5 questions in part and the 7 questions in part 2.

There are three choices.

&% from part 2; (1)3 from part 1

= ⁵C 3 × ⁷ C 5

= 3!(5−3)!/5! × 5!(7−5)!/7!

= 2/5×4 ×= 2/7×6

=5×2×7×3

=210 ways

(2)4 from part 1 & 4 from part 2

= ⁵C 3 × ⁷ C 5

=4!(5−4)!/5!

×= 4!(7−4)!/7!

​=5×= 3×2×1/7×6×5

=5×7×5

=175 ways

(3)5 from part 1 & 3 from part 2

= ⁵C 3 × ⁷ C 5

= 5! 0!/5!

​×= 3!(7−3)!/7!

​=1×= 3×2/7×6×5

​=35 ways

Total number of ways =210+175+35

420 ways

Know more about Ways

https://brainly.com/question/13727684

#SPJ4

A rectangle has an area of 15 square millimeters. The width of the rectangle is 3 millimeters.

Answers

Answer:

5 millimeters

Step-by-step explanation:

15 = 3x

5 = x

A pizza company charges $60 for 12 pizzas.
v) Create a table from 60=12m

Answers

The required table would be:

Quantity (x) Price (y)

12                  $60

What is the slope-intercept form?

The slope-intercept form of a linear equation is y = mx + b, where x and y are variables, m is the slope of the line (also known as the "rate of change" or "rise over run"), and b is the y-intercept (the point where the line crosses the y-axis). The slope-intercept form is so called because it gives the slope of the line and the y-intercept in one equation

Here is the table you requested:

Quantity (x) Price (y)

12                  $60

This table shows the relationship between the quantity of pizzas ordered (x) and the price (y) for a pizza company that charges $60 for 12 pizzas. The equation y = mx + b can be used to represent the relationship, where m is the unit price and b is the y-intercept. In this case, m = 5 and b = 0.

Hence, the required table would be:

Quantity (x) Price (y)

12                  $60

To learn more about the slope-intercept form, visit:

https://brainly.com/question/22057368

#SPJ1

Simplify the radical expression completely:


Square root of 48x^2y^5z

Answers

The radical expression completely:

Square root of [tex]48x^2y^5z[/tex] is  4[tex]xy^2[/tex] × sqrt(3y)

Now, According to the question:

Factor 48 into its prime factors

          48 = 24 × 3

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

          16 = [tex]2^4[/tex]

Factors which will remain inside the root are :

          3 = 3

To complete this part of the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          4 = [tex]2^2[/tex]

At the end of this step the partly simplified SQRT looks like this:

        4 × sqrt[tex](3x^2y^5)[/tex]z

Rules for simplifying variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

    (3.1) sqrt[tex](x^8)=x^4[/tex]

    (3.2) sqrt(x-6)=x-3

(4) variables raised to an odd exponent which is  >2  or < (-2) , examples:

     (4.1)[tex]sqrt(x^5)=x^2sqrt(x)[/tex]

    (4.2) sqrt(x-7)=x-3sqrt(x-1)

Applying these rules to our case we find out that

    SQRT[tex](x^2y^5) = xy^2[/tex]SQRT(y)

Simplified root:

4[tex]xy^2[/tex] × sqrt(3y)

Hence, the radical expression completely:

Square root of [tex]48x^2y^5z[/tex] is  4[tex]xy^2[/tex] × sqrt(3y)

Learn more about Radical expression at:

https://brainly.com/question/3796764

#SPJ4

 

The height of the trapezoid is 5 cm

Answers

The area of trapezoid is 47.5 cm².

What is trapezoid?

A quadrilateral having only two sides parallel.The area of a trapezoid is the half of the product of sum of its parallel sides to the height of that trapezoid (the distance between those parallel sides).

Thus, if we have:

Length of its parallel sides = 'a' and 'b' units respectively

Perpendicular distance between its parallel sides = 'h' units,

Then, we get:

[tex]A = \dfrac{1}{2}\times(a+b) \times h \: \rm unit^2[/tex]

Given;

trapezoid has two bases that measure 11 cm and 8 cm.

a= 11 cm, b= 8 cm

Now, height= 5

A = (½* height) x (Sum of the bases)

A= 1/2 * ( 11 + 8) * 5

A= 95/2

Therefore, the Area trapezoid will be 47.5 cm²

Learn more about this trapezoid here;

brainly.com/question/2442718

#SPJ1

The complete question is;

A trapezoid has two bases that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid?

One bank account pays 6% interest and another pays 12%. If $6,000 was invested for a year and the interest earned was $540, how much was invested at 6%?

Answers

Answer:

360

Step-by-step explanation:

0.06x6000=360 also that 6% equal 6/100 wich is 0.06

Could someone help me on this problem please thank you if you do!

Answers

Answer:

the third graph

Step-by-step explanation:

1. increase - then you know the line has to go upwards.  so only first &3rd lines are potentially correct answer

2. look at the Y axis markings, first one goes from 5 to 11, it increased by 6.  so it's not right.

answer is the 3rd one.

which set represents a Pythagorean triple
A. 1,2,3
B.9,12,16
C. 30,40,50
D.38,44,49

Answers

The set that represents a Pythagorean Triple is given as follows:

C. 30,40,50

What is the Pythagorean Theorem?

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

For item c, we have that:

30² + 40² = 50²

900 + 1600 = 2500

2500 = 2500.

Which is a true statement, hence item c represents the Pythagorean Triple in the context of this problem.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/30203256

#SPJ1

the administration team compiled test results for those who had been tested for strep throat in a random sample of 400 sick patients who had been tested. the following relative frequency table shows the data. positive negative total has the flu 54% 6% 60% does not have the flu 8% 32% 40% total 62% 38% 100% based on the data, what is the ratio of false positives to true positives? 6 over 32 8 over 6 8 over 54

Answers

The ratio of false positives to true positives is 8 over 54.

According to the Question

Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.

We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.

We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.

As a result, the ratio becomes 8% / 54%, or 8/54.

It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.

To know more about proportion and ratio on brainly :

brainly.com/question/26974513

#SPJ4

a particular person in america uses 395.0 gallons of water in a given day. how many liters of water is this?

Answers

395 gallons will contain 1,495.075 L of water.

A gallon is a unit of liquid measure equal to eight pints. It is approximately 4.546 litres in the United Kingdom.

It is about 3.785 litres in the United States.

To convert litres to gallons, for example, a quart is somewhat less than a litre and 4 litres is slightly more than 1 gallon. 1 litre equals 0.264 gallon (a little more than a quart), and 4 litres equals 1.06 gallon.

One US gallon is approximately 3.79 litres;

one imperial gallon is approximately 4.55 litres.

The dry gallon in the United States is roughly 4.41 litres. As a result, one gallon, regardless of kind, is always larger than one litre.

One gallon contains 3.785 L of water,

Hence 395 gallons will contain 3.785395 3.785×395 Liters of water,

ie, 3.785395 = 1,495.075 L of water.

For more questions on Gallons to Litre conversion

https://brainly.com/question/29366756

#SPJ4

what term is used to describe this type of survey in which the people surveyed consist of those who decided to respond? what is wrong with this type of sampling method

Answers

Part A: The respondents in the population are a voluntary response sample.

Part B: The responses may not reflect the opinions of the general population

The total number of internet users in those is 1072 people.

The percentage of the total number of people that chose to respond is 38%

We can note that this survey does not compel the population to respond to the survey. These responses are given by the voluntary respondents.

Another point is that a voluntary response sample is a sample that consists of participants who are interested to participate in a sample group voluntarily.

In this type of survey, the people who are supposed to decide to provide voluntary responses to the survey are called voluntary response samples.

The percentage of those that chose to respond to this survey which is 38% is less than half of the total population. This result shows that the responses may not reflect the opinions of the general population.

To know more about sampling methods:

https://brainly.com/question/16770571

#SPJ4

James has 20$ to pay for a movie ticket and candy. Each box of candy cost 2$, the movie ticket cost 12$. Write and equation that can be used to determine how many boxes of candy, c, James can buy

Answers

Answer:

4 candy boxes

Step-by-step explanation:

2$ one candy box

then 20-12=8 then

left 8$ now,2$=1 candy box 8$=8÷2

Ans will be 4

Answer:

2c + 12 = 20. Simplified to 2c = 8

Step-by-step explanation:

We can start with a Template

Y = Xc + C

Y being the total

X being candy price

c bring candy boxes, as stated

C being ticket price

Plugging those in we get

20 = 2c + 12

Since you bought the ticket with your $20, we can subtract the ticket price from both sides, giving you

8 = 2c or 2c = 8

Help me solve this Simultaneous equation assignment​

Answers

Answer:

Case 1 : x = - 2, y = 3

Case 2 : x = 5. y = 2

Step-by-step explanation:

Case 1

5y + x = 13 --------> Eq 1

y - x = 5  ---------> Eq 2

Add both Eq 1 and y,

5y + x = 13

 y  - x =  5

________

6y + 0 = 18

6y = 18

y = 18/6

y = 3

Substitute y = 3 in Eq 2,

3 - x = 5

3 - 5 = x

- 2 = x

x = - 2

Hence,

x = - 2

y = 3

Case 2

2x + y = 12 ---------> Eq 1

6x + 5y = 40 -----------> Eq 2

Multiply Eq 1 with 3,

3(2x + y = 12)

6x + 3y = 36 --------> Eq 3

Eq 2 - Eq 3,

 6x + 5y = 40

- 6x - 3y  = - 36

_____________

  0  + 2y = 4

2y = 4

y = 4/2

y = 2

Substitute y = 2 in equation 1,

2x + 2 = 12

2x = 12 - 2

2x = 10

x = 10/2

x = 5

Hence,

x = 5

y = 2

a bowl contains 7 blue chips and 3 white chips. two chips are to be drawn successively at random and without replacement. what is the probability of the first chip is white and the second chip is blue?

Answers

The probability of drawing a white chip first and a blue chip second is 1/5.

To find the probability of drawing a white chip first and a blue chip second, we can use the formula for conditional probability.

Conditional probability is the probability of an event occurring given that another event has already occurred. It is represented by the notation P(A|B), where A is the event of interest and B is the event that has already occurred.

The formula for conditional probability is:

P(A|B) = P(A and B) / P(B)

This formula expresses the probability of event A occurring given that event B has occurred, as a ratio of the probability of the two events occurring together and the probability of event B occurring alone.

Where A is the event of drawing a white chip first and B is the event of drawing a blue chip second.

We know that the probability of drawing a white chip first is 3/10 (since there are 3 white chips out of a total of 10 chips in the bowl), so P(A) = 3/10.

Once a white chip has been drawn, there are 9 chips left in the bowl, with 6 of them being blue. This means that the probability of drawing a blue chip second given that a white chip has already been drawn is 6/9, so P(B|A) = 6/9.

By multiplying these two probabilities together, we get:

P(A and B) = (3/10) * (6/9) = (3/10) * (2/3) = 6/30 = 1/5

Therefore, the probability of drawing a white chip first and a blue chip second is 1/5.

To know more about conditional probability refer to:

brainly.com/question/30144287

#SPJ4

HELP!! ASAP! 60 POINTS

This diagram shows right triangular prism UVWXYZ.

What is the volume of UVWXYZ? If necessary, round your answer to the nearest tenth.

Answers

In the diagram which shows right triangular prism UVWXYZ, the volume of UVWXYZ can be expressed in  nearest tenth as 750 cm^3.

How can the the volume of UVWXYZbe calculated?

The concept that will be used here is volume. In mathematics, 'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3

√ (12.5^2 -7.5^2) =10 cm

The volume can be calculated as : (1/2 * 7.5 * 10 *20

=750 cm^3

Learn more about volume at:

https://brainly.com/question/24284033

#SPJ1

a 5 ft tall girl stands on level ground the sun is 25 degrees above the horizon how long is her shadow

Answers

The girl has a shadow of 10.72 ft if she has a 5 ft tall and the sun is 25 degrees.

CALCULATION THE GIRL SHADOW

Based on the given conditions, formulate:

5 ÷ tan (25°)

Find angles from the level ground of the sun

5 ÷ tan (25°)

Calculate

5 ÷ 0.466308

Calculate

10.722527

TANGENT RATIO

When measuring the area of a right shadow, the ratio of the opposite side to the adjacent side is known as the tangent ratio. Right angle can have their angles and sides determined using tangent ratios, just as sine and cosine ratios.

Learn more about angle of shadow here:

https://brainly.com/question/14828878

#SPJ4

g) 25+ [14 - {8+ (13-4)}]​

Answers

Answer: 22

Step-by-step explanation:

25+ [14 - {8+ (13-4)}]​

= 25 + [14 - {8 + 9 }]​

= 25 + [14 - 17]

= 25 - 3

= 22

A ship is on its maiden voyage to the mystery island. According to the map, it has to travel
99 miles to the north and then, 20 miles to the west to reach the island. Find the shortest
route that leads to the mystery island.

Answers

Answer:

I also need help

Step-by-step explanation:

A ship is on its maiden voyage to the mystery island. According to the map, it has to travel

99 miles to the north and then, 20 miles to the west to reach the island. Find the shortest

route that leads to the mystery island.

Answer:

20 miles

Step-by-step explanation:

would you rather go 99 miles or 20 miles

what number is an integer

Answers

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface Z or blackboard bold \mathbb {Z}.

Draw a sketch to help with this problem. From Tracey's house
to John's house is 0.5 kilometers. From John's house to school is 0.8
kilometer. Tracey rode from her house to John's house and then to
school. Later she rode from school to John's house to her house.
Altogether, how far did Tracey ride?

Answers

Answer:

  2.6 km

Step-by-step explanation:

You want the total distance from Tracey's house to John's house to school, and back again, when the distance from Tracey's to John's is 0.5 km, and the distance from John's to school is 0.8 km.

Total

The total distance will be the sum of the parts:

Tracey's to John's: 0.5 kmJohn's to school: 0.8 kmschool to John's: 0.8 kmJohn's to Tracey's: 0.5 km

Total distance = (0.5 +0.8 +0.8 +0.5) km = 2(0.5 +0.8) km = 2(1.3 km)

  = 2.6 km

Tracey rode 2.6 km altogether.

Solve for x. Write the equation and show ALL STEPS to solve.
(3x - 3)"
AP
(2x+13)"

Answers

Answer:

x = 16

Step-by-step explanation:

(2x+13)° = (3x-3)° [vertically opposite angles]

2x + 13 = 3x - 3

2x - 3x = -3 - 13

        -x = -16

      ∴ x = 16

Describe the symmetries of a rhombus and prove that the set of symmetries forms a group. Give Cayley tables for both the symmetries of a rectangle and the symmetries of a rhombus. Are the symmetries of a rectangle and those of a rhombus the same?

Answers

The symmetries of a rectangle and those of a rhombus are not the same, as the rectangle has two additional symmetries.

A rhombus is a quadrilateral with all sides of equivalent length, and it has the accompanying symmetries:

Identity symmetry: The rhombus stays unaltered when reflected about its center.

Rotational symmetry: The rhombus stays unaltered when pivoted 180 degrees about its center.

Reflective symmetry: The rhombus stays unaltered when reflected about its two diagonals.

These symmetries structure a gathering under the operation of the organization of symmetries. A gathering is a bunch of components with a twofold operation (for this situation, the creation of symmetries) that fulfills the cooperative, identity and converse properties.

The arrangement of symmetries of a rhombus fulfills these properties, making it a group.

The Cayley table for the symmetries of a rhombus is as per the following:

E R1 R2 R3

R1 E R3 R2

R2 R3 E R1

R3 R2 R1 E

Where E addresses the identity symmetry, R1 addresses the 180-degree turn symmetry, R2 addresses the symmetry around one diagonal, and R3 addresses the symmetry about the other diagonal.

Then again, the symmetries of a rectangle are:

Identity symmetry: The rectangle stays unaltered when reflected about its center.

Rotational symmetry: The rectangle stays unaltered when pivoted 180 degrees about its center.

Reflective symmetry: The rectangle stays unaltered when reflected about its two vertical and two horizontal axis.

The Cayley table for the symmetries of a rectangle is as per the following:

E R1 R2 R3 R4

R1 E R3 R2 R4

R2 R3 E R1 R4

R3 R2 R1 E R4

R4 R4 R4 R4 E

Where E addresses the identity symmetry, R1 addresses the 180-degree turn symmetry, R2 addresses the symmetry around one vertical axis, R3 addresses the symmetry around one horizontal axis and R4 addresses the symmetry about the two diagonals.

We can see that the arrangement of symmetries of a rectangle and those of a rhombus are not something similar.

The rectangle has two additional symmetries, the symmetry around one vertical and one horizontal axis, which are not present in the rhombus.

To learn more about symmetries:

https://brainly.com/question/30340514

#SPJ4

amy uses 41-cent stamps and 6-cent stamps to mail a gift card to a friend. if the postage is $1.77, how many of each stamp did amy use?

Answers

If Amy uses 41-cent stamps and 6-cent stamps to mail a gift card to a friend worth of $1.77 , then the number of 41 cent stamp used is 3  and the number of 6 cent stamps used is  9 .

Let the number of 41 cents stamps used in postage is = x ;

let the number of 6 cents stamps used in postage is = y ;

the amount 41 cents in dollars is = $0.41  ;

and amount 6 cents in dollars is = $0.06  ;

Amy used 41-cent stamps , 6-cent stamps to pay $1.77 in postage

it is represented in equation form as  ⇒ 0.41x + 0.06y = 1.77

Multiplying on both sides by 100 , we get

⇒ 41x + 6y = 177  ;

⇒ y = (177 - 41x)/6 ;

We will test for corresponding values of x and y to satisfies this equation and the number of stamps must be whole numbers.

If x = 1 , then y = 26.66

If x = 2 , then y = 15.83

If x = 3 , then y = 9

If x = 4 , then y = 2.16 .

the only values that shows a whole number is : If x = 3 , then y = 9 .

Therefore , Amy used "3" 41-cents stamps and "9" 6-cent stamps .

Learn more about Equations here

https://brainly.com/question/14532602

#SPJ4

A 6-kg bowling ball sits on top of a building that is 120 meters tall.

Answers

The potential energy of the ball will be 7200 Joules.

What is potential energy?The energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors.For small height changes, gravitational potential energy can be computed using -  E = mgh.

Given is a 6-kg bowling ball sits on top of a building that is 120 meters tall.

We can write the potential energy of the ball as -

E = mgh

E = 6 x 10 x 120

E = 60 x 120

E = 7200 Joules

Therefore, the potential energy of the ball will be 7200 Joules.

To solve more questions on potential energy, visit the link below -

https://brainly.com/question/24284560

#SPJ1

an airline has six flights from new york to california and seven flights from california to hawaii per day. if the flights are to be made on separate days, how many different flight arrangements can the airline offer from new york to hawaii?

Answers

The total number of different flight arrangements the airline can offer from New York to Hawaii is 42.

The Flight Arrangements

The airline has 6 flights from New York to California and 7 flights from California to Hawaii per day. Therefore, the total number of different flight arrangements the airline can offer from New York to Hawaii is 6 x 7 = 42.

The airline has the capability to offer 42 different flight arrangements for travel from New York to Hawaii by combining the number of flights available per day from New York to California (6) with the number of flights available per day from California to Hawaii (7). This calculation is done by multiplying the number of flights from New York to California by the number of flights from California to Hawaii.

Learn more about Flight Arrangements here:

https://brainly.com/question/14310514

#SPJ4

Brad's mother says she was tested for HCG during her last two doctor visits. On March 21, her

HCG level was 200 mlU/ml (milli-international units per milliliter). Two days later, her HCG

level was 392 mIU/ml.

a. Assuming that the model for HCG levels is of the form y = ab', write an equation that

models the growth of HCG for Brad's mother's pregnancy.

Answers

The required function is 200 (1.4)ˣ = 5, where the value of x is calculated to be -11.

The given function is y = a bˣ

x₁ = 0, y₁ = 200

x₂ = 2,  y₂ = 392

Let us determine a, b.

a b⁰ = 200

a b² = 392

a = 200

200 b² = 392

b² = 392/200 = 49/25 = 7/5 = 1.4

So, the function is y = 200 (1.4)ˣ

Now, let us determine x for y = 5,

200 (1.4)ˣ = 5

(1.4)ˣ = 0.25

Taking log on both sides,

log (1.4)ˣ = log 0.025

x log 1.4 = log 0.025

x = log 0.025/log 1.4

x ≈ -11

This means the embryo was implanted on March 10th and she visited the doctor 11 days later.

To know more about HCG:

https://brainly.com/question/14922066

#SPJ4

Long division ? ?????

Answers

Answer:  37.5

Step-by-step explanation: To find this, we must move the decimal place one spot over. It would now look like this:

300. ÷ 8

Now for the division look at the attachment. In the end, you've should've got 37.5. To check if that's right, you'd multiply 0.8 and 37.5. Then again, you should get 30. I hope this helped!

A rectangular garden has a walkway around it. The area of the garden is 2(5.5x + 3.5). The combined area of the garden and the walkway is 2.5(8x + 6). Find the area of the walkway around the garden as the sum of two terms.

Answers

The total of the two terms that represent the length of the garden's walkway:  26x + 28

Explain the features of term rectangle?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form. The rectangle's longer side is its length, while its shorter side is its breadth.

A walkway around a rectangular garden.

The garden's size is 4(4.5 x + 1.5) square meters.The garden's and the walkway's combined area is 5.5(8 x + 4).

Simplifying each equation.

Area of the garden : 4(4.5 x + 1.5) = 18x + 6

Combined area:  5.5(8 x + 4) = 44x + 22

Thus,

Area of walkway = Combined area - Area of the garden

                                = 44x + 22 - 18x + 6

                                = 26x + 28

Thus, the total of the two terms that represent the length of the garden's walkway:  26x + 28

To know more about the rectangle, here

https://brainly.com/question/25292087

#SPJ1

Other Questions
Oxytocin and ADH are produced by the _____ and stored in the _____.(a) adenohypophysis; kidneys.(b) adrenal cortex; adrenal medulla.(c) posterior pituitary; anterior pituitary.(d) hypothalamus; neurohypophysis.(e) anterior pituitary; thyroid. Which relation is not a function?OAX 126 18 24 36y 6 12 6 30 24B. ((7,3), (3, 7), (1, 5), (5, 4), (0, 6))OC ((6.5) (3, 2), (2, 4), (6, 3), (1, 0))OD23 a patient is receiving an aminoglycoside antibiotic for the treatment of a serious infection. pk samples today revealed a peak within acceptable limits but a trough much higher than the target concentration. what is the best approach to lower the trough concentration? In the figure, ABCD is a square. E is the midpoint of side AD, and F is the midpoint of side BC. The area of the shaded region iswhat fraction of the area of square region ABCD ? Find the relationship used and solve for the variable Based on the information gathered, find the relative frequencies for car riders:please help me guys channing tatum has hinted that he wants to remake which 1990 romance movie? a. Pretty womenb. Ghostc. Tango and Cash convert 1.2 meters to millimeter. please remember to use significant figures. do not answer in scientific notation. When a small lump of calcium metal,Ca, is added to water, it reacts givingoff hydrogen gas. A solutic ofcalcium hydroxide, Ca(OH), is alsoformed in the reaction.Write a balanced symbol equation,including state symbols, for thereaction. 1. Induction position 1 2. Main point under deduction position 2 3. Main point under induction position 3 4. General to specific position 4 5. Deduction position 5 6. Supporting points under deduction position 6 7. Supporting points under induction position 7 8. Specific to general position 8 49.cooling a cake is removed from an oven at 210 f and left to cool at room temperature which is 70 f.after 30 min the temperature of the cake is 140 f.when will it be 100 f which of the following would be included in the government expenditures category of gdp computation? group of answer choices salaries for professors at smc any one of the answers is correct. expenditures made to repair a highway purchase of new tea sets for white house functions 5 Now, perform each of the calculations indicated. Please refer to the financial formulas section of the instructions for Major Assignment 3, where you will find the equations for the Compound Interest Formula,Future Value of Periodic Payments Formula, and Loan Payment Formula to use for the final calculation in the Sponsorship, Fundraising, and Loan Payment sections below, respectively. Important Note: for thesecalculations, you MUST use direct calculation formulas, and you MAY NOT use built-in Excel functions to calculate these values.Format all amounts (in the gold-shaded cells) as Currency with the $ symbol and 2 decimal places, and all n and t entries (in the green-shaded cells) as Number with 0 decimals.Bring your 5-year projected budget totalforward from the Project Budget and Projectionsheet8 Loan Payment (determine the how will an increase in private savings in the united states most likely affect financial capital flows and the value of the dollar in foreign exchange markets? Explain what it means that structure = function instead of the orderly process of carefully weighing information before making decisions. mintzberg believes management is more chaotic and often involves quick decisiona. trueb. false The goal of the marketing exchange is that the parties to the transaction bea) close partners.b) interdependent.c) codependent.d) satisfied.e) savvy. what must balance the right to free speech? group of answer choices a tolerance for difference the responsibility to speak ethically the responsibility to speak often and effectively the responsibility to cite sources of information When water is heated, it's volume ______. Fill ink the blank with the best word choice from the list below. House & Wine. CPAs is a one-office CPA firm that has audited Cabernet Enterprises for many years. James Vine, son of the owner of Cabernet Enterprises. graduated from colleginci was hired as a staff accountant by House & Wine. CPAs. James Vine is not dependent on his father. With respect to continuing audits of Cabernet Enterprises by House & Wivhich of the following statements is incorrect?There is an independence problem in continuing to audit Cabernet Enter;xises if James Vine works on the audit of this cornpany.If James Vine does not work on the audit of Cabernet Enterprises, House & Wine, CPAS may continue to audit that company as independent auditors.If James Vine advances to the rank of manager, House & Wine, CPAs would not, because of that promotion, lose their independence with respect to Cabernet Enterprises.Since they are no longer independent, House & Wine. CPAs may no longer perform an audit of Cabernet Enterprises.