The length of your family's garden is 3 feet greater than the width. The area of the garden is 460 square feet. What are the dimensions of the garden?

Answers

Answer 1

Given:

The length of your family's garden is 3 feet greater than the width.

The area of the garden is 460 square feet.

To find:

The dimensions of the garden.

Solution:

Let x feet be the width of the garden. Then,

Length = [tex]x+3[/tex] feet

The area of a rectangle is:

[tex]A=l\times w[/tex]

Where, l is the length and w is the width of the rectangle.

The area of the rectangular garden is:

[tex]A=(x+3)\times x[/tex]

[tex]A=x^2+3x[/tex]

It is given that the area of the garden is 460 square feet.

Putting [tex]A=460[/tex], we get

[tex]460=x^2+3x[/tex]

[tex]0=x^2+3x-460[/tex]

Splitting the middle term, we get

[tex]x^2+23x-20x-460=0[/tex]

[tex]x(x+23)-20(x+23)=0[/tex]

[tex](x+23)(x-20)=0[/tex]

[tex]x=-23,20[/tex]

The width of a garden cannot be negative. So, [tex]x=20[/tex].

Now,

[tex]l=x+3[/tex]

[tex]l=20+3[/tex]

[tex]l=23[/tex]

Therefore, the length of the garden is 23 feet and the width of the garden is 20 feet.


Related Questions

Three pairs of shoes cost $108. If each pair costs the same, how much does each one cost?

A.$32

B.$34

C.$36

D.$38

Answers

Answer:

C: 36

Step-by-step explanation:

There are 3 pairs of shoes. They all cost the same. Since these shoes add up to 108 dollars, they basically multiply by three to get to 108. (3x=108) If you want to figure out the cost of one shoe you just have to reverse the process by using division. So just do simple division by dividing 108 by three (108/3=x) and there is your answer, 36.

36

108 divided by 3 is 36

pls help me first of all how do you add a photo?

Answers

Answer:

there should be a "paper clip" sign

Step-by-step explanation:

then go to it click it and pick or take a photo

Is -2 x 4 positive or negative? please help i have 19 missing assignments ​

Answers

Answer:

-8

Step-by-step explanation:

a negative number multiplied by a positive one gives as a result a negative number

-2 x 4 = -8

15 ( 10 + y) = 3

i need help so bad

Answers

Hopefully this is right
y = -49/5

Find the distance between points l and m then find the distance between points l and n which distance is greater howmuch

Answers

Answer:

Following are the responses to the given question.

Step-by-step explanation:

In this question, the points values are missing which is why its solution can be defined as follows:

Let

[tex]l= (7,-1) \\\\m=(-2, 4)\\\\n =(6,5)\\\\[/tex]

Formula:

[tex]d=\sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}[/tex]

For d1:

[tex]x_1=7, y_1=-1, x_2=-2, y_2=4\\\\[/tex]

[tex]d=\sqrt{((-2-7)^2+(4+1)^2)}[/tex]

  [tex]=\sqrt{((-2-7)^2+(4+1)^2)}\\\\=\sqrt{((-9)^2+(5)^2)}\\\\=\sqrt{(81+25)}\\\\=\sqrt{(106)}\\\\=10.29[/tex]

For d2:

[tex]x_1=7, y_1=-1, x_2=6, y_2=5\\\\[/tex]

[tex]d=\sqrt{((6-7)^2+(5+1)^2)}[/tex]

  [tex]=\sqrt{((-1)^2+(6)^2)}\\\\=\sqrt{(1+36)}\\\\=\sqrt{(37)}\\\\=6.08[/tex]

The first distance value is greater than the second distance value.

A grocery store 16 cartons of yogurt for sale, of which 8 are cherry. What is the probability that a randomly selected carton of yogurt will be cherry? write your answer as a percent

Answers

the probability would be 50%, because half of the cartons are cherry and half are not

A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The height is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?​

Answers

Answer:

6 cm

Step-by-step explanation:

Volume of a Prism = base area x height =

Base area = length x width =  12 x 2 = 24 cm^2

Volume = 24 x 3 = 72 cm^3

Volume of a pyramid = 1/3( l x w x h)

72 = 1/3( 6x6 x h)

Multiply both sides of the equation by 3

216 = 36 x h

divide both sides by 36

h = 6

Solve the inequality 4x -5 greater than or equal to 7

Answers

Answer: x greater than or equal
to 3.
Explanation: Add 5 on both sides and then after divide 4 on both sides. The sign stays the same.

hello please help i’ll give brainliest

Answers

Step-by-step explanation:

I think Gold is the correct answer. Thanks.

Pretty sure the answer is Alloys.

Help needed for some geometry

Answers

In order to create a line parallel to line “I”, rotate line “I” 180° about points “F”. This can be done clockwise or counterclockwise.

Answer:

hope this help you. look it once.

6 times the dierence of d and 5

Answers

Answer:

6(d - 5)

Step-by-step explanation:

The difference of d and 5 represents (d - 5)

Multiply that by 6 to get 6(d - 5)

Scott buys
1260 apples
280 bananas
Write down the ratio of the number of apples that Scott buys to the number of
bananas that he buys.

Give your ratio in its simplest form.

Answers

the ratio is 1-4,5 or 2-9 if you want whole numbers where the slower number are the bananas and the higher the apples

Answer:

1,260:280

or

1,260 to 280

or

1,260/280 Simplified → 4 1/2

Step-by-step explanation:

Since it asks for apples first put the amount first apples first to the amount of bananas second, since it asks for bananas second.

Hiii, I would love it if you can help me with these! I tried my best but it's really hard and I don't understand.

Answers

Answer:

First one i think is C and the second one is A it was easy

Step-by-step explanation:

answer this question for 30 points and brainilest

Answers

Answer:

Volume of left side cylinder will be less than the volume of right side cylinder.

Step-by-step explanation:

Volume of a cylinder is given by the formula,

Volume = πr²h

Here, r = radius of the circular base

h = Height of the cylinder

Volume of the left hand cylinder = π(b)²a

Volume of the right hand cylinder = π(a)²b

It's given in the question that a > b

Let the value of a = 3 and b = 2

Then the volume of left hand cylinder = π(2)²(3)

                                                               = 12π

Similarly, volume of right hand cylinder = π(3)²(2)

                                                                 = 18π

Therefore, volume of left side cylinder will be less than the volume of right side cylinder.  

Find measure of angle WZY.

Answers

Answer:

the answer is 4

Step-by-step explanation:

8x-1=5x+11

3x=12

x=4

since the triangle is
a.right
b.isosceles
c.equilateral​

Answers

Step-by-step explanation:

plz write full question

Answer:

I need a more information

Step-by-step explanation:

the area of a square is 144 square centimeters. What is the length of one side of the square? pls help its on khan

Answers

12cm

have an amazing day <3

find the length of x.

Answers

Answer:

3.5

Step-by-step explanation:

so this triangle is symmetrical by AA. so x would be symmetrical to 7, and 2.5 is symmetrical to 5.

[tex]\frac{x}{2.5}[/tex] = [tex]\frac{7}{5}[/tex]

x×5=5x

2.5×7=17.5

5x=17.5

x=17.5/5

x=3.5

The number 652.734 written in expanded form is (6 × 100) + (5 × 10) + (2 × 1) + (7 × 1 10) + (3 × 1 100 ) + (4 × 1 1000). Suppose you want to write the number 473.892 in expanded form. Which statements are correct? Select two that apply. A.7 should be multiplied by 100. B.8 should be multiplied by 1 10. C.3 should be multiplied by 1. D.2 should be multiplied by 1 100.

Answers

Answer:

3 x 1 and 8 x 1/10

Step-by-step explanation:

Please help ASAP!!
8(5x-3)-11(3x+7)=102
Please solve!

Answers

Answer:

x = 29

Step-by-step explanation:

8(5x-3)-11(3x+7)=102

40x - 24 - 33x - 77 = 102

7x - 101 = 102

7x = 203

x = 29

Answer:

X=29

Step-by-step explanation:

There were 8,454 pencils that were produced in the factory. When inspecting the pencils they noticed that 1,789 pencils were cracked. How many pencils were they able to use

Answers

Answer: They were able to use 665 pencils

Step-by-step explanation: You would simply do 8,454 - 1,789=665

                  Give Brainliest please :)

I need help asap !!!!

Answers

Answer:

C

Step-by-step explanation:

Pythagorean theorem = a² + b² = c²

Answer:

C.

Step-by-step explanation:

Pythagrean Theorem is on C

If a1=10 and an An-1 + 4 then find the value of
05.

Answers

Answer:

26

Step-by-step explanation:

Just put n = 5 and substitute

Then a5 = a4 + 4 = a3 + 8 = a2 + 12 = a1 + 16 = 26

A sum of 7
Probability:

Answers

Answer:

7,5,3,1,8,6,4,2,9

Step-by-step explanation:

Continent
Number of cars produced
Africa
636 519
Asia/Oceania
45 800 878
Europe
19 726 405
North America
21 136 313
South America
4 288 654
How many more cars were produced in North and South America
than in Europe and Africa?

Answers

Answer:

5062043

Step-by-step explanation:

add the numbers for north and south America, add the numbers for Europe and Africa, and than subtract them. (north America+south America) - (Europe + Africa) = answer

5k(k-9)=0 solve for k

Answers

Step-by-step explanation:

5k²-45= 0

5k²= 0 +45

k²= 45/5

k²= 9

or

k = 9/2 = 4.5

Please Help! The diagram shows the graph of y=2x+c, where c is a coonstant. Find the value of k.

Answers

Answer:

k = 6.5

Step-by-step explanation:

The question relates to the association of the association of the equation of a graph point(s) on the graph

The given equation of the graph, is y = 2·x + c

The value of 'c' is a constant

We note that the value of 'c' can be found when x = 0, as follows;

y = 2·x + c = 2 × 0 + c = c

∴ When x = 0, y = c

From the graph, when x = 0 we have the y-intercept, the point the graph crosses the y-axis, which is the point y = -3

Therefore;

When x = 0, y = -3 = c

∴ c = -3

The equation of the graph becomes, y = 2·x + (-3) = 2·x - 3

y = 2·x - 3

The other given point on the graph is the point (k, 10)

The value k is the x-value when y = 10

Substituting y = 10 in the equation for the graph gives the x-value at the point y = 10 as follows;

10 = 2·x - 3

2·x = 13

x = 13/2 = 6.5

x = 6.5 (when y = 10)

Therefore the point (k, 10) = (6.5, 10)

By comparing the two equal coordinates, we have;

k = 6.5.

Для изготовления макета космической ракетыбыло куплено d м алюминевых проводов по цене 150 тг k стеклопластикапо цене 340 тг сколько всего денег изасходовали на изготовления космической ракеты

Answers

Answer:

I do not understand ummmm

What was Dimitri's mistake? He mixed up the coordinates of the ordered pair when Substituting it into the equations 7x+9y=-4 and 5x-2y=6

Answers

Answer:

He made a mistake in his calculations when simplifying 5x - 2y

Step-by-step explanation:

Given

The coordinate pair

[tex](x,y) = (2,-2)[/tex]

The equations

[tex]7x + 9y = ?[/tex]

[tex]5x - 2y = ?[/tex]

Dimitri's Solution

[tex]Equation\ 1: 7x + 9y = -4.[/tex]

[tex]7(2) + 9 (-2) = -4.[/tex]

[tex]14 + (-18) = -4.[/tex]

[tex]-4 = -4.[/tex]

[tex]Equation\ 2: 5x -2y = 6.[/tex]

[tex]5(2) - 2 (-2) = 6.[/tex]

[tex]10 - 4 = 6.[/tex]

[tex]6 = 6.[/tex]

Required

Identify Dimitri’s mistake

In the first equation, Dimitri made no mistake.

However, he made a mistake when simplifying the second equation.

We have:

[tex]5x - 2y[/tex]

and

[tex](x,y) = (2,-2)[/tex]

Substitute [tex]x = 2[/tex] and [tex]y = -2[/tex]

So, we have:

[tex]5(2) -2(-2)[/tex]

Open bracket

[tex]10 +4[/tex]

Finally, we have:

[tex]14[/tex]

A group of children bought 3 presents that cost $W each and a card that cost $200. The children shared the total cost equally. Express the amount of money each student paid in terms of W

Answers

Answer:

Amount of money paid by each student is equal to [tex]\$3W+\$200[/tex]

Step-by-step explanation:

Given: A group of children bought [tex]3[/tex] presents that cost [tex]\$W[/tex] each and a card that cost [tex]\$200[/tex].

To find: amount of money each student paid in terms of [tex]W[/tex]

Solution:

Cost of each present [tex]=\$W[/tex]

Cost of [tex]3[/tex] presents [tex]=\$3W[/tex]

Cost of a card [tex]=\$200[/tex]

Therefore,

Amount of money paid by each student in terms of [tex]W[/tex] = Cost of [tex]3[/tex] presents + Cost of a card

[tex]=\$3W+\$200[/tex]

Other Questions
ancient greek medicine that is still used today ? The base of the parallelogram is 8 units and its height is half of the base.Find the area of the parallelogram.A. 32 sq. unitsB. 12 sq. unitsC. 24 sq. unitsD. 4 sq. units will you help me wash the dishes __________?A) when you are in the hospital B) after you wore your clothesC) if you finish your work D) because we have just left home URGENT - PLEASE HELP 25 POINTS AND BRAINIESTA right triangle has legs that measure 5 and x - 1Its hypotenuse measures x.Solve for x Why do you think abolitionists disagreed about the use of violence? The nervous system directs muscles to move. The muscular system produces movements.Which of the following systems, working with the nervous and muscular systems, determinesthe types of movements the body can make?A. respiratory systemB. immune systemC. skeletal systemD. endocrine system A bag of skittles contains 18 yellow, 12 green, 20 red, 10 orange, and 14 purpleSkittles. If one skittle is drawn at random, what is the P( purple | red). name every horror game that you can think of!! Note: Plagiarism will be reportedAny Links Or Unrelated Answers Will Be ReportedExplain Newton's Law Of Gravity, and explain how the formula works correctly and combines mathematical arithmetic to figure out gravity. a machine shop has a fixed cost of $2000 to produce new bolts. The cost of materials and labor to produce each individual bolt is $8.50. Which of the following functions models the average cost per bolt for the company to produce x bolts, where x>1? Please help me but no links . The patient did not _____ the severity of his condition.clutchgrasplatchclinch Should copyright laws still be around and protected? slers and nervesQuestion 19 of 20Read lines 231 - 234 of Beowulf.From high on a wall / the Scylding watchman / whose dutyit was / to guard the sea-cliffs / saw glinting shield-bosses/ passed hand to hand / down the gangplank, / an army'swar-gear.What literary device is the term "shield-bosses"? Why was Martin Luther upset at the church?NO LINKS Pythagorean Theorem Level 2 Solar panels generate electricity using photovoltaic cells that receive sunlight. To protect these cells from moisture while allowing sunlight to pass through, engineers must design a cover for the solar panel that is you can help me no links What is most likely the writer's purpose?O to emphasize the tension between Bilbo and hisrelativesAngelica Baggins had considered not attending theparty, but curiosity got the better of her. When shearrived, Bilbo himself presented her with a gift, anintricate gold bracelet. Angelica nodded haughtily atBilbo and strolled into the party without so much as a"thank you." While the other hobbits praised Bilbo'slavish gifts, Angelica seethed inwardly. The braceletwas insignificant when compared with the inheritancethat Bilbo planned to bestow on Frodo. Angelicadeserved more-much more.O to reveal more about Frodo's relationship with BilboO to convey the message that generosity strengthensrelationshipsO to create an upbeat and celebratory mood 1. What is the main cause of cancer?