The length of a rectangular garden is 4 more than three times the width. If the perimeter of the garden 104 feet, what are the dimensions of the garden.

Write your system of equations:
Answer the question being asked:

Answers

Answer 1

Answer:

12 ft by 40 ft

Step-by-step explanation:

Let L represent the length and W the width.  Then L = 3W + 4.

The perimeter formula is P = 2L + 2W or P = 2(L + W).

Substituting 104 ft for P, we get 104 ft = 2(L + W), which reduces to

52 ft = L + W, or 52 ft = 3W + 4 + W.

Therefore, 52 ft = 4W + 4.  

Solving this for W, we get 48 ft = 4W, or W = 12 ft.

Then, because L = 3W + 4, L = 3(12 ft) + 4 = 40 ft = L

The dimensions of the garden are 12 ft by 40 ft.


Related Questions


One natural number is 4 more than another one. The product of the two numbers is three times the square of the lesser
number. Find the numbers.

Answers

Answer:

2 and 6

Step-by-step explanation:

if julie make 18 baskets how many baskets does kari make how many baskets do they make in all

Answers

Answer:

18x

Step-by-step explanation:

j=18

k=x

18xor18

I do not understand this question

The nisure below is made of 2 rectangular prisms. What is the volume of this figure? 5 m 4 m 2 m 9 m 5 m​

Answers

Answer: Find the volume of a rectangular prism whose length, width, and height are 8cm, 6cm, and 4cm, respectively. Therefore, the volume of a rectangular prism is 192 cm 3.

Pl help me on this WORTH A LOT OF POINTS!!!!

What is the total area of the patio, walkway, and garden?

Answers

Answer:

82 ft²

Step-by-step explanation:

Area of the patio:

5 x 9 =45

Area of the walkway:

2 x 8 =16

Area of the garden:

3 x 7 =21

Total:

45+16+21 = 82

How do you solve this
2x + 3 = 12

Answers

hello!

[tex]======================================[/tex]

In order to solve this equation, we should first subtract 3 from both sides:

[tex]\pmb{2x=12-3}[/tex]

Which equals

[tex]\pmb{2x=9}[/tex]

Divide both sides by 2

[tex]\pmb{x=\displaystyle\frac{9}{2} }[/tex]

[tex]======================================[/tex]

note:-

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

If you are trying to find slope this is how you solve it.

Step-by-step explanation:

2x+3=12

-2x       -2x

3=-2x+12

÷3  ÷3   ÷3

y=-2/3x+4

So if you are trying to find the slope it is -2/3x and the y intercept is 4.

I Need help 75pts thanks in advance!

Answers

Answer:

m∠1 = 50° m∠2 = 130°m∠3 = 50°m∠4 = 130°

Explanation:

m∠2 = 130°

Then,

m∠4 = 130° ( vertically opposite angles )

Here m∠1 = m∠3

m∠1  + m∠2  + m∠3  + m∠4 = 360°

2(m∠1) = 360° - 130° * 2

m∠1 = 50°

m∠3 = 50°

Answer:

m∠1 = 50°

m∠3 = 50°

m∠4 = 130°

Step-by-step explanation:

Vertical Angle Theorem:  When two straight lines intersect, the opposite vertical angles formed are always equal (congruent) to each other.

⇒ m∠1 = m∠3   and   m∠2 = m∠4 = 130°

Linear pair:  Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ m∠1 + m∠130° = 180°

⇒ m∠1 = 50°

As m∠1 = m∠3 then m∠3 = 50° also

Find the area of the figure.

Answers

Answer:

6 x 8 = 48

Step-by-step explanation:

kit is going to build a 3 feet walk around a pool that measures 20 feet by 15 feet find the area of the walk in square feet

Answers

Answer:

246 sqft

Step-by-step explanation:

To find the area of the outer rectangle, add 2(3) to 15 and 20. 15 turns into 21 and 20 turns to 26. Next, do 21 x 26 to find the whole area (which is 546). The area of the inner rectangle is 20 x 15 (which is 300). Finally, do 546 - 300 which is 246.

Answer:

I think it maybe 134.2

because when u like try to to multiply and sy

16. What is the area of the shaded region in terms of Tr? [20 points]

Answers

Area of the circle outside
= πr2
= π(5)2
=25 π

Area of the bigger circle inside
= π x(3)2
= 9 π
Area of the smaller circle inside
= π x (2)2
= 4 π

Area of shaded region
= 25π - 9π - 4π
= 12π square unit

Help help math math help

Answers

Answer:

The answer to this equation is 2

Step-by-step explanation:

x-2 = 3(2-x) \4

x-2= 6 -3x/4

cross multiply

4(x-2)= 6-3x

4x-8 = 6-3

collect like terms

4x+3x = 6+8

7x = 14

divide both sides by 7

7x/7= 14/7

x = 2

What is Barbara's net worth if her assets total $19000, her gross income is $60000, her student loan debt is $28000 (she has no other debts), and her annual expenses (including taxes) total $46000?

Answers

Answer:

calculator

Step-by-step explanation:

if josh gives 13 fried fish and molly eats 10 how many left are there

Answers

Answer:

13-10=3 hence, the Q of ans is 3

Josh gives 13 FISH
Molly ate 10 FISH

13 - 10 = 3

So there are 3 left

Due today pls helpp I will give brainlist

Answers

Answers:

jamal has 30 stickers in total.

chris has 7 stamps in each group.

Step-by-step explanation:

1. use multiplication, 6*5=30

2. use division, 56/8=7

hope this helped! ♡

Answer:

jamal has 30 stickers in total.

chris has 7 stamps in each group.

Step-by-step explanation:

Find MQ in parallelogram LMNQ .

Answers

Answer:

MQ = 16.4

By the Parallelogram Diagonals Theorem , MP = PQ

So MQ = 2 · MP

Step-by-step explanation:

Parallelogram Diagonals Theorem

The diagonals of a parallelogram bisect each other, i.e. they divide each other into two equal parts.

P is the point of intersection of the diagonals.

Therefore, MP = PQ and LP = PN

If MP = 8.2, then PQ = 8.2

⇒ MQ = 8.2 + 8.2 = 16.4

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8. If there were 6600 no votes, what was the total number of votes?

Answers

Answer:

The total number of voters = 10725

Step-by-step explanation:

The total number of votes cast was 5 + 8

The no votes ratio is 8/ 13

This question is a a proportion question.

A proportion question is 2 ratios equal to other. Three of the parts of the ratios are known and you are asked to find the fourth. In this question the no votes are known to be 8 and the total is 13.

The total no votes = 6600. So the three parts are known are

no vote ratio = 8No vote number =6600total vote ratio part = 13You are asked to find the total number of voters.

8/13 = 6600/x               Cross multiply

8x = 13*6600                Combine the right.

8x = 85800                   Divide by 8

8x/8 = 85800/8            

x = 10725

The total number of voters = 10725

Find the value of each variable in the parallelogram.

Answers

Answer:

x = 9 and y = 15

Step-by-step explanation:

this is the answer because each side is equivalent to the parallel line so y would be whatever is across from it

Answer:

y=15

x=9

Step-by-step explanation:

they are parallel and equal to the opposite sides

The diagram shows a plan for a deck. The area of the deck is 511 ft squared what is the value of x? Show your work

Please helpp

Answers

Just have a good day

The dimension of the unknown variable x of the deck is equal to 14 feet in length.

What is a Rectangle?

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).The opposite sides of a rectangle are equal and parallel.

Given in the question is a diagram showing a plan for deck. From the data given, we can write -

Area of Deck = 511 ft.

The value of x can be found out by subtracting the area of the deck from the  area of rectangle having dimensions of length 29 ft and width (16 + 4) = 20 ft. The remaining area will be equated to the sum of the area of rectangle at top right corner having dimensions of length 9 ft and width 4 ft and the area of triangle at lower right corner.

Firstly, we will find the dimensions of the triangle at the lower right. The height of the triangle will be = (20 - 9) ft = 11 ft. The base of the triangle will be = 29 - ( x + 9) ft = (20 - x) ft. Now -

[Area of Rectangle (29 x 20)] - [Area of Deck] = [Area of Rectangle (9 x 4) + Area of triangle (lower right)].

Mathematically -

580 - 511 = 9 x 4 + 1/2 × (20 - x) × 11 = 69

36 + 5.5(20 - x) = 69

36 + 110 - 5.5x = 69

146 - 69 = 5.5x

5.5x = 77

x = 14 ft

Therefore, the dimension of the unknown variable x of the deck is equal to 14 feet.

To solve more questions on Area of Shapes, visit the link below-

https://brainly.com/question/28437831

#SPJ2

Help help help math math math

Answers

Answer:

adjacent

Step-by-step explanation:

share the same side

Answer:

adjacent

Step-by-step explanation:

Trigonometric equations

5sinx = 3sinx + square root of 2

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]

Let's solve for x ~

[tex]\qquad \sf  \dashrightarrow \:5 \sin(x) = 3 \sin(x) + \sqrt{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:5 \sin(x) - 3 \sin(x) = \sqrt{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \sin(x) = \sqrt{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sin(x) = \sqrt{2} \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: \sin(x) = \frac{1}{ \sqrt{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 45 \degree \: \: or \: \: \frac{\pi}{4} \: rad[/tex]

・ .━━━━━━━†━━━━━━━━━.・

hey guy can you please explain this to me ​

Answers

Answer:

D) 2

Step-by-step explanation:

it think it's D because the size of the triangle was doubled

2 was matched to 4 and

1 was matched to 2

please answer! i need it as its important thank you.

Answers

For the first problem, the solution is as follows:
9y-1/2(4y+20)

1.) Distribute the -1/2 into (4y+20).
9y-2y-10

2.) Combine like terms.
7y-10

3.) Final solution!
7y-10

For the second problem, the answer(s) are solutions A & B.

Solution C cannot be correct because the it does not follow linear algebraic rules (PEMDAS). Solution D is also incorrect because the subtraction sign and division sign change, which does not follow any linear algebraic rules (PEMDAS).

Simplify Sinx + cosx/ cos²x - sin²x​

Answers

[tex]\dfrac{\sin x + \cos x}{\cos^2 x - \sin^2 x}\\ \\\\=\dfrac{\sin x + \cos x}{(\cos x + \sin x )\\\\(\cos x - \sin x)}\\\\\\=\dfrac{1}{\cos x - \sin x}[/tex]

Find the mean of the data.

55,64,58,43,49,67 Please!!

Answers

55 and 67 i hope this helps

Find the exact value of sin(255∘)

Answers

Check the picture below.

[tex]\textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(255^o)\implies sin(135^o+120^o) \\\\\\ sin(135^o)cos(120^o)~~ + ~~cos(135^o)sin(120^o) \\\\\\ \left( \cfrac{\sqrt{2}}{2} \right)\left( -\cfrac{1}{2} \right)~~ + ~~\left( -\cfrac{\sqrt{2}}{2} \right)\left( \cfrac{\sqrt{3}}{2} \right)\implies -\cfrac{\sqrt{2}}{4}~~ - ~~\cfrac{\sqrt{6}}{4}\implies \cfrac{-2-\sqrt{6}}{4}[/tex]

can someone pls help me with this. WILL MARK BRAINLIEST

Answers

Answer:

The answer is D :)

Step-by-step explanation:

I think this because when you multiply the unit value of PR, 4, by 3 it equals 12, which is TVs, value. If you do the same to QP's unit value, 3, by 3 again, you will get UT's unit value, 9.

Have an amazing day!!

Please rate an dmark brainliest!!

The answer is B or D.

A nature center offers 2 guided walk. The morning walks is 2/3 miles . the evening walk is 3/6 miles. Which walk is shorter. Explain how you can use the model to find the answer

Answers

Answer:

The evening walk is shorter.

Step-by-step explanation:

There are two ways you could solve this:

Fractions:

2/3 = 4/6    4/6>3/6

Converting into Decimals:

2/3=0.67

3/6=0.5

2/3>3/6

I hope this helps.

When using estimates to make decisions,

A. It is important to always use a 95% confidence level
B. It is important to remember that you will never achieve certainty
C. It is important to calculate those estimates to at least six decimal places
D. It is important to use a 100% confidence level so as to achieve certainty
E. All of the above
F. None of the above

Answers

Answer:

C.

Explanation: I hope it's help you

The use of estimates to make the decisions It is important to calculate those estimates to at least six decimal places.

We have given the options that are

A. It is important to always use a 95% confidence level

B. It is important to remember that you will never achieve certainty

C. It is important to calculate those estimates to at least six decimal places.

D. It is important to use a 100% confidence level so as to achieve certainty.

E. All of the above

F. None of the above

We have to determine the correct decision.

What are the estimating values?

Any of numerous procedures used to calculate the value of some property of a population from observations of a sample drawn.

That is we are estimating the value up to 6 decimal places

Therefore option C is correct.

It is important to calculate those estimates to at least six decimal places.

To learn more about the estimated value visit:

https://brainly.com/question/107747

#SPJ2

Label each point on the number line with the correct value.
Click each dot on the image to select an answer. Choices:

Answers

Answer:

dot A is 0.62 dot B is 7/9 and dot C is 10/9

Step-by-step explanation:

250 gram as a percentage of 1 kg ​

Answers

Hey there!

Answer: 25%

[tex] \rightarrow \: (\sf{ \frac{250}{1000} ) \times 100}[/tex]

[tex] \rightarrow \: ( \sf{0.25) \times 100}[/tex]

[tex] \rightarrow \: \sf{ = 25\%}[/tex]

Answer:

25%

Step-by-step explanation:

the quantities must have the same units

1 Kg = 1000 grams

express the quantities as a fraction and multiply by 100%

[tex]\frac{250}{1000}[/tex] × 100% = 0.25 × 100% = 25%

Vani has a collection of vintage action figures that is worth $140. If the collection
appreciates at a rate of 15% per year, which equation represents the value of the
collection after 2 years?
OV = 140(0.85)
Submit Answer
O V = 140(0.15)
V = 140(1 - 0.15)2
V = 140(1 + 0.15)?

Answers

The equation represents the value of the collection after 2 years is V = 140(1 + 0.15)^2.

What equation represents the value of the collection?

When the value of an asset appreciates,it means that the price of the item increases with the passage of time.

The formula for calculating future value with appreciation is:

FV = P (1 + r)^n

FV = Future value P = Present value R = interest rate N = number of years

V = 140(1 + 0.15)^2.

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

Step-by-step explanation:

V=140(1+0.15)

2

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