Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times the width. Which system of equations represents is the dimensions of the rectangular garden if the perimeter is 63?

Answers

Answer 1

Step-by-step explanation:

Let the width of the garden be b and its length is 9 feet less than 3 times the width.

Length = 3b-9 ...(1)

The perimeter of the garden = 63

We need to find the system of equations that represents is the dimensions of the rectangular garden.

Perimeter = 2(l+b)

63 = 2(3b-9+b)  [from equation (1)]

31.5 = (3b-9+b)

31.5 = (4b-9)

31.5+9 = 4b.....(2)

b = 10.12

Hence, the equations are showsn in equation (1) and (2).


Related Questions

Liz wants to buy a shirt for $25.what will the total cost after tax be if Liz buys the shirt in Springfield

Answers

What’s the percentage of the tax ?

Answer:

ya

Step-by-step explanation:

PLS HELP I ALREADY GOTTA FINISH!!!!

Answers

Answer:

C.

Step-by-step explanation:

Add whole numbers: 8+9=17

Combine Fractions: 3/4+2/8= 1

= 17+1 =18

Answer:

Step-by-step explanation:

Make them have common denominators and combine.

[2((8 x 3)+3) ]/8  +  [(9 x 8)+2]/8 = C.) 18.

Ava and her children went into a restaurant and will buy hotdogs and tacos. She must buy no less than 8 hotdogs and tacos altogether. Write an inequality that would represent the possible values for the number of hotdogs purchased, hh, and the number of tacos purchased, t.t.

Answers

Answer:

h + t ≥ 8

Step-by-step explanation:

h is for hotdogs and t is for tacos and they must buy no less than 8 (buy 8 or more than 8 altogether)

A ball is thrown straight up from the top of a building that is 280 feet high with an initial velocity of 48 ft/s. The height of the object can be modeled by the equation s(t)=−16t2+48t+280.
In two or more complete sentences explain how to determine the time(s) the ball is higher than the building in interval notation. Then, determine the time.​

Answers

Answer:

i hope it helpful

thank you

Answer:

Answer in interval notation is (3, 5.94].

Step-by-step explanation:

First find the time that the ball is level with the top of the building on its descent. You can do this by solving 280 = -16^2 + 48t + 280 for t. This gives t = 3 seconds .

Then when the ball reaches the ground the time t is obtained by solving 0 = -16t^2 + 48t + 280 This gives t = 5.94

seconds.

Answer in interval notation is (3, 5.94].

How can you use the Quotient of Powers, Power of a Quotient, Identity Exponent and Zero Exponent Laws to evaluate numerical expressions with whole-number exponents?​

Answers

While dealing with laws of exponents, exponents should be subtracted when splitting exponential formulas with the same base.

Use the Quotient of Powers Rule to reduce the number of terms when splitting like terms with exponents. According to this rule, to determine the solution while dividing terms with the same base, simply remove their exponents. The trick is to only take out exponents with matching bases.

Exponents are added when two powers of the same base are multiplied. Therefore, the exponents are subtracted when two powers of the same base are divided. To put it another way, abac=ab + c is true for all real numbers a, b, and c.

It is so established that any integer or phrase raised to the power of zero always equals 1. To put it another way, the outcome is 1 if the exponent is 0. A 0 = 1 and (a/b) 0 = 1 create the general version of the zero exponent rule.

Learn more about Exponents here:

brainly.com/question/11975096

#SPJ9

I need the answers please can anyone solve this one?

Answers

Answer:

This is it.

HI=8

GH=15

GI=17

according to the fundamental theorem of algebra, how many roots exist for the polynomial function? (9x 7)(4x 1)(3x 4)

Answers

3 number of roots exist for the polynomial function.

Step-by-step explanation:

As we know that the polynomial can only have exact number of roots as high as the degree of that polynomial is.

We can also prove it. Assume there is a polynomial

(x+2)(x+3) =0

Here the degree of the polynomial is 2 and the number of possible solutions are also 2. As it is evident that x is either equal to -2 or -3.

From the given condition,

(9x + 7)(4x + 1)(3x + 4)

we know that the degree of the polynomial is 3 because after expansion it becomes,

108x^3 + 255 x^2 +169x + 28 =0

Since, highest power of the variable is 3. Its degree is 3.

Therefore, possible number of roots that exist for the polynomial function are 3.

You can learn more about number of roots of polynomials from
https://brainly.com/question/10702726
#SPJ4

The smallest composite number that can be written as a product of 4 different prime number are

option a) 120

option b)210

option c)240

option d)180

Answers

Option b
Hope it helps you

A charity organization had to sell a few tickets to their fundraiser just to cover necessary production costs. After selling 101010 tickets, they were still at a net loss of \$800$800dollar sign, 800 (due to the production costs). They sold each ticket for \$70$70dollar sign, 70. Let yyy represent the net profit (in dollars) when they have sold xxx tickets.

Answers

Answer:

Price of each ticket = $70

The revenue generated from sales of 10 tickets = 70 x 10 = $700

After selling the 10 tickets, organization was still at loss of $800. This means total product cost of tickets = $800 + $700 = $ 1500

Net Profit = Revenue - Cost

Revenue from n tickets will be = 70n

Cost = $1500

So, net profit as a function of number of tickets sold = P(n) = 70n - 1500

Step-by-step explanation:

The point G(1,1) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, G'?

Answers

The resulting point's coordinates, G', are rotated 90° clockwise around in the origin are (-1 , -1 ).

What is the coordinate plane's location?

A coordinate plane is a two-dimensional plane created by the intersection of the y-axis, a vertical line, and the x-axis, a horizontal line. These really are perpendicular lines that cross at zero, which is known as the origin.

What are a plane's quadrants?

Quadrant one (QI) is the upper right fourth of a coordinate plane, where all coordinates are positive. Quadrant two (QII) is the coordinate plane's upper left fourth. Quadrant three (QIII) is the fourth from the bottom left. Quadrant four (QIV) is the fourth from the bottom right.

According to the given data:

Point G(1,1)

X= 1 ,Y = 1

We can see that the point lies in the first quadrant because the value of X and Y are the positive.

the coordinates of the resulting point, G'  is rotated 90° clockwise around the origin.

As we know that the quadrant plane is divided into 4 part but if the point G rotates at 90 clockwise the the point will shift to the 4 quadrant and in the 4 quadrant the value of X and Y change And it became negative.

So

The resulting point's coordinates, G', are rotated 90° clockwise around in the origin are (-1 , -1 ).

To know more about coordinate plane's visit:

https://brainly.com/question/13611766

#SPJ1

question 3
The number of termites in a colony starts out with 125 insects and increases by 75% each week. Which graph best models the situation?
the first three photos are to this question

Answers

Answer:

See attached image.

Step-by-step explanation:

Since the number of termites in a colony starts out with 125 insects and increases by 75% each week we are looking for a graph where the line crosses the y-axis (vertical axis) at 125 and continues to increases by 75%.

From the screenshots given only one graph has a line that intersects at 125 on the y axis and continues upward (see attached image). The other graphs depict a beginning number of termites of 875, 0, and 250.

The temperature falls from -7°C to -20°C. What is the change in these temperatures?

Answers

Answer:

13 degrees Celsius

Step-by-step explanation:

To solve this question, you need to subract -20 from - 7.-7-(-20)  is 13.

What’s the domain and rangeee

Answers

Domain is the extend of the x-coordinates that a function falls in while domain is the extent of the y-coordinates

Answer:

the domain is 2, and the range is 1

Step-by-step explanation:

MARKING BRAINLIEST! A machine pumps 4 1/2 gallons of water every hour. How many gallons of water does it pump after 2 2/3 hours?

Answers

Answer:

12 gallons

Step-by-step explanation:

You just multiply both of the numbers.

Answer:

12 Gallons of Water!

___________________________________________________

4.5= 1 hour

9= 2 hours

4.5/3=1.5

So every 1/3 hour equal 1.5 gallons of water!

9+1.5*2= 12

This is the 3rd time I'm posting this with no response. The last time someone commented something completely unrelated to the topic so please no one do that again but I really need help with this. I'd really appreciate it. Thanks!

Answers

Answer:

20 pts

Step-by-step explanation:

What is the GCF of:
15x^2y and 20xy

Answers

Answer:

5xy

Step-by-step explanation:

x and y can only go into both into once

The table shows values for a linear function, f(x). What is an equation for f(x)?

Answers

Answer:

f(x) = -3(x) + 4

Step-by-step explanation:

Option C. 3/4.

the slope is 3/4 for any two adjacent points.

Then use the point-slope formula y-y1=m(x-x1) where m slope and (x1, y1) point

y-1=(3/4)(x-11)

y=(3/4)x-(29/4), distributing and moving the 1 over.

What is F x in a linear function?

A linear function is a function of the form f(x) = ax + b, where a and b are real numbers. Here, a represents the gradient of the line, and b represents the y-axis intercept (which is sometimes called the vertical intercept).

Please check the linear function at

https://brainly.com/question/4025726

#SPJ2

Find the coordinates of the reflection: B (8,-1) is reflected over the y-axis

Answers

Answer:

good for u

Step-by-step explanation:

Its C (-8,-1) hope this helps!!

statistical studies are not concerned with understanding the sources of variability in​ data, only with describing the variability in the data

Answers

False.

Variability in statistics is the degree to which data in a set varies, or how much difference there is in a single set of data. The variability definition also refers to the consistency of the pattern in a set of data.

There are many measures of variability to help researchers determine how much variability is contained within a set of data. A simple measure of variability is the range, the difference between the highest and lowest scores in a set.

A concern when using a simple range measure is the existence of outliers, individual scores that are not grouped with the rest of the scores.

Current statistical studies are modern and have a wealth of analysis tools and software to understand the data. Statistics has a wide range of objectives, which aim not only to understand the variability of the data, but also its origin and motivation. For example, if an election poll shows a variation from a previous poll, statisticians will seek to understand the causes of these variability and not just present the variation in the data.

For more information on statistics click on the link below:

https://brainly.com/question/15525560

#SPJ4

I need help with this question ASAP

Answers

Answer:

Step-by-step explanation:

If you had both parts of the whole kite you would multiply but because you don't have both parts, you have to divide to find the other part so:

15.5 (whole) / 1.5 (part)= 10.3 (part)

Hope this helps!! :) have a good evening!

Pls give me brainliest

Do all 3 to get brainliest

Answers

Answer:

1.C

2. C

3.D

Step-by-step explanation:

Answer:

CCD

Step-by-step explanation:

if a bag has 22 orange, 18 red, 12 green and 8 blue marbles what is the probability, that I draw blue marble, keep it, then draw another blue marble?

Answers

Answer:

14/885 or 1.58%

Step-by-step explanation:

In total, there are 60 marbles. The probability of drawing a blue marble the first time is 8/60. If you keep the one blue marble that was drawn, the total number of marbles in the bag is 59, and there are now 7 blue marbles. The probability of drawing a blue marble now is 7/59.

In order to find out the total probability of drawing two blue marbles in a row, you need to multiply these two fractions.

(8/60) x (7/59) = 56/3540 = 14/885 (approx. 1.58%)

Hope this helps!

Answer:

13.33333%

Step-by-step explanation:

13) The value of x for which 3(x-1) = 4(x-5) is

Answers

3x-3=4x-20
3x+17=4x
17=x
So x equals 17

Answer:

The value of x=17.

Step-by-step explanation:

3(x-1) = 4(x-5)

=3x-3=4x-20

Subtract both sides by 4x.

=3x-3-4x=4x-20-4x

= −x−3=−20

Add 3 to both sides.

=−x−3+3=−20+3

−x=−17

Divide both sides by -1.

−x/-1=−17/-1

x=17

In the equation X=(3y-9)^2 solve for y.

Answers

Answer:

y=radical x/3 +3

y=-radical x/3 +3

Step-by-step explanation:

Lavasha and Keisha travel separately to their grandmother’s house, 114 miles away. Keisha leaves from the same place 30 minutes after Lavasha. If Lavasha is travelling at 40 mph and Keisha travels at 55 mph, how many minutes will it take Keisha to catch up to Lavasha?

Answers

Skool is Cool so that means if you don’t go

A study concluded that among people with a certain​ virus, 99.2​% of tests conducted were​ (correctly) positive, while for people without the​ virus, 97.9​% of the tests were​ (correctly) negative. If 32​% of patients actually carry the​ virus, what's the probability that a patient testing negative is truly free of the​ virus?

Answers

Answer:

Following are the solution to the question:

Step-by-step explanation:

The probability of virus  P(V) =0.32  

No virus  P(NV) =0.66

Patient testing of negative P(TN) = virus, and negative testing+no virus and negative testing

[tex]=0.32(1-0.992)+0.66 \times 0.979 \\\\=0.00256+0.64614\\\\=0.6487[/tex]

This is why the likelihood of a patient being free of the virus is negative.

[tex]= \frac{P(NV) \times\ tested \ negative }{P(TN)}[/tex]  

[tex]= \frac{0.66 \times 0.979}{0.6487}\\\\= \frac{0.64614}{0.6487} \\\\=0.996053646[/tex]

Which number line represents the solution set for the inequality -1/2x>4

Answers

Answer: D

Step-by-step explanation: D because if your turn 1/2 into a decimal point it 0.5 (don't forgot to add the negative) and so i then divided -0.5 from x and just got x then you have to do the same for the other side. So i took 4 and divided it by -0.5 and got -8 to the expression would be x is greater then or equal to -8. you plot the dot at -8 and the line goes in front of it because it is lesser or equal to x (remember you reverse the problem if you say it back words so don't get confused), but after my long explanation just pick D

the product of a number and -7 is 63."​

Answers

Answer:

the number is -9

Step-by-step explanation:

Enter a positive common factor (other than 1) of the fractions numerator and denominator 15/25

Answers

5 is a common factor on both of them

Somebody please help! Due today! Whoever does best get's brainliest and 5/5 stars

Answers

This is wat i got x=30

Answer:

x=30

5x/6=25

5x=25x6

5x=150

x=150/5

x=30

Other Questions
to qualify for a storage ce, your installation must comply with defense explosives safety regulation (desr 6055.09 edition 1) and meet the conditions found in Activity 2. Let's Hunt Elements and Compounds! Directions: Refer to the labels of cookies products below. Nutrition Facts Serving Eye 4 Cookles (30g) Gervings Per Container About 11 Anun Par Serving Calories 120 Total Fat og Daturated fat 3g Trans Fat Oog Cholesterol 20mg Calories from Fat 45 8% 15% Bodium 90mg Total Carbohydrate 152 Dietary Fiberg Gugars 70 Protein 29 Vitamin A 2% Calcun 05 44 YOUy values ay Vitamin C5% Iron 4% 3/h Protsin 4 74 75 INGREDIENTS: Wheat Flour, Sugar, Butter, Eggs, Salt, Soy Lecithin (Emulsifier), Leavening Agent (Sodium Bicarbonate). Artificial Flavor. Contains Egg, Milk, Wheat, Soy Manufactured in a facility that process eggs, milk, peanuts, tree nuts, and wheat. List down in Table 1 the compounds in the product label and the constituent elements. There are cases that you will need to look at the constituent elements because they may not be obvious from the compound name (e.g., citric acid, oil). Table 1. Compounds and their constituent elements written in the food labels. Constituent Element Compound Note: Please add rows as necessary Q4. The elements iron and zinc are listed in the Nutrition Facts for the cereal drink. Find out from the Ingredients the source of these elements. Q5. Name three elements present in the Ingredients of the cereal drink which are not listed in the Nutrition Facts. (2) (3). An electrician charges $24 per hour and $36 for each hour of overtime. For a job, the electrician works 8 regular hours and overtime hours. He also charges $202 for materials. The total amount of the bill for the job is $538. How many overtime hours did the electrician work?Fill in the blanks to create an equation that represents the situation.Blanks-24( )+ x+202=538 what problems do you think robert owen encountered in his community before he decided to start a new one? a network of manufacturers and service providers that work together to convert and move goods from the raw materials stage through to the end user is the definition of. When the number of miles driven equals 0, why is the cost per month not equal to 0? Why does the graph have a positive slope? It is a new year in Germany for little Isaac, who is eight years old. January 1939 is not filled with promise like most new years, and even Isaac can feel the change in the air. His parents have told him about the damage done to their synagogue that terrible night in November. The government said it was Jews who caused the problem. Isaac does not understand why Jews would damage their own synagogue. What big change will Isaac MOST likely face this month?A. Isaac will be deported to Poland or Austria.B. Isaac will no longer go to school with his friends.C. Isaac will be separated from his mother and father.D. Isaac will be made to join the Hitler Youth Party. How is the nuclear membrane like the cell membrane? work out the surface area of the prism for a fee, isabella can open a pizza hut restaurant in her hometown of sicily. the parent company has agreed that she can use the company name and it will also provide her with marketing and operational support. isabella is in the process of . An 80.8kg man is standing on a frictionless ice surface when he throws a 2.3kg book at 11.8m/s. with what velocity does the man move across the ice? identify and explain disastrous effects of fires on emotional wellbeing What is the subject of Phillis Wheatley's poem "On Being Brought from Africa to America"?Here is the text:'Twas mercy brought me from my Pagan land,Taught my benighted soul to understandThat there's a God, that there's a Saviour too:Once I redemption neither sought nor knew.Some view our sable race with scornful eye,"Their colour is a diabolic die."Remember, Christians, Negros, black as Cain,May be refin'd, and join th' angelic train.the role of angels in human lifethe poet's gratitude for Christian salvationpeople who mistreat Africansthe poet's anger toward those who enslaved her which type of transformation preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd function g(x)?vertical translationhorizontal translationreflection over the x-axisreflection over the y-axis Who has the right to visit and inspect any establishment that sells alcoholic beverages? Read the example sentence, and study the chart of suffixes. The renumeration of funds was ordered by the court because the judge ruled that the company had overcharged the client.Suffix Definition-tion the action of-ize to make-ary related to-ate becomeBased on the table, what is the meaning of renumeration? becoming wealthyto make more moneyrelated to moneythe act of paying back a charity benefit is attended by 25 people and three gift certificates are given away as door prizes: one gift certificate is in the amount of $100, the second is worth $25 and the third is worth $10. assuming that no person receives more than one prize, how many different ways can the three gift certificates be awarded? The gravitational force between two objects is 3600 N.What will be the gravitationalforce between the objects themass of each object is reduced to one-third of its original mass?O 400 NO 1200 NO 10,800 NO 32,400 N How does the law of conservation apply to nutrient cycles? What is the intended audience for President John F. Kennedy's inauguraladdress?In the long history of the world, only a few generations have beengranted the role of defending freedom in its hour of maximum danger. Ido not shrink from this responsibility-I welcome it. I do not believethat any of us would exchange places with any other people or anyother generation. The energy, the faith, the devotion which we bring tothis endeavor will light our country and all who serve it-and the glowfrom that fire can truly light the world.And so, my fellow Americans: ask not what your country can do for you-ask what you can do for your country.-President John F. Kennedy, Inaugural Address, 1961