Jaya wants to make a vegetable garden in her backyard for 6 different vegetables. She makes 6 sections in the garden. The dimensions of the garden are 3 sections long by 2 sections wide. Each section is in the shape of a square. The area of the vegetable garden is 91.26 square feet. What is the length of the vegetable garden?

Answers

Answer 1

The length of the vegetable garden is 11.7 ft.

The dimension of the garden are 3 section long and 2 section wide.

let

each section length = x

Therefore,

length of garden = 3x

width of garden = 2x

Area of the vegetable garden = 91.26 ft²

3x(2x) = 91.26 ft²

6x² = 91.26

x² = 91.26 / 6

x² = 15.21

x = √15.21

x = 3.9

length of the vegetable garden = 3(3.9) = 11.7 ft

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Related Questions

Which point is a solution to the system?

Answers

Answer:

d

Step-by-step explanation:

A 13 foot ladder is placed
5 feet away from a wall
How many feet up the wall
will the ladder reach?

Answers

Answer: 12 feet up

Step-by-step explanation:

This problem models a right triangle, in which the ladder is the hypotenuse and the distance away from the wall is one of the legs.  Thus, you may use the Pythagorean Theorem (a^2 + b^2 = c^2)

[tex]a^2+b^2=c^2\\5^2+b^2=13^2\\25+b^2=169\\b^2=144\\b=12[/tex]

N.B. There are some very useful sets of numbers that can help you with this unit.

They are called Pythagorean triplets, and they are the sets of whole numbers that make right triangles.  The important ones are 3, 4, 5, and 5, 12, 13 (And their multiples, like 6, 8, 10(3,4,5 *2))

Hope it helps :) and let me know if you want me to elaborate further.

A candle factory makes colored candles to sell in packages. Which of the following situations best represents a proportional relationship?​

Answers

Answer:

D Each package has 8 yellow candle chips. A total of 18 packages will have 144 yellow candle chips.

Step-by-step explanation:

8/1 is proportional to 144/18

In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.

Given that, a candle factory makes colored candles to sell in packages.

What is a proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

A) Does not a represents a proportional relationship

B) Does not a represents a proportional relationship

C) The cost of one package is $1.98 and the cost of 10 packages is $16.99.

Here, the number of packages increases, the cost also increases. So, it is direct proportion.

D) In one package there are 8 yellow candle chips and 18 packages will have 144 yellow candle chips.

Here, the number of packages increases, the number of chips also increases. So, it is direct proportion.

In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.

To learn more about the proportional relationship visit:

brainly.com/question/12917806.

#SPJ6

The area of a rectangle is 50 ft, and the length of the rectangle is 5 ft less than three times the width. Find the dimensions of the rectangle.

Answers

Answer:

L - 10 . W - 5

Step-by-step explanation:

Length = 3*width - 5

area = length * width

50 = (3w-5)* w

50 = 3w^2-5w

0 = 3w^2 - 5w -50

0= (3w+10)(w-5)

w = 5 , w can't equal -10/3 because width can't be negative

width is 5

Length = 3 * 5 - 5

Length = 10 , width = 5

Answer:

first lets say w is the width

50(area)=w(idth)+3(w-5)

50=w+3w+15

50=4w+15

35=4w

8.75=w

w equals 8 3/4

Hope This Helps!!!

The total age of a cat, dog, monkey is 4 year 2 month. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey?

Answers

28 years

Step-by-step explanation:

Co-relating their ages:Let's say, the cat is x years old.

The dog is twice as old as the cat

That makes the dog 2x years old.

The monkey is twice as old as the dog.

That is, 2 × (2x) = 4x years old

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Calculating the total:

Their total age is 4 years 2 months.

1 year has 12 months

=> 4 years have (4 × 12)

= 48 months

Since, the total age is 4 years 2 months, we can express it in "months" by adding "48" and "2".

= 50 months

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Solving for x:

Sum of their ages = 50 months

=> x + 2x + 4x = 50

=> 7x = 50

=>x = 50/ 7 months

If we write this in mixed fractions the whole number will represent the number of years.

=

[tex] \mathsf{7 \frac{1}{7} \: \: months}[/tex]

[tex] = \mathsf{7 \: years \: \frac{1}{7} \: \: months}[/tex]

The value of 1/ 7 is really small,I.e., 0.1428...

So, we can ignore the fraction while rounding off the term that makes it

[tex] \mathsf{x = 7yrs.(approx.)}[/tex]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Recall:

x is the age of the cat.

The monkey's age is "4x"

= 4 × 7

= 28 years.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

So, the monkey's age is approximately 28 years

The cat is 7 and 2/6 of a month so the dog is one year two months and 4/6 of a month and the monkey is two years four months

An investor has an account with stock from two different companies. Last year, his
stock in Company A was worth $2000 and his stock in Company B was worth $4240.
The stock in Company A has increased 1% since last year and the stock in Company B
has increased 5%. What was the total percentage increase in the investor's stock
account? Round your answer to the nearest tenth (if necessary).
Answer:
Submit Answer
acer

Answers

Answer:

Total percent: 3.7%

Step-by-step explanation:

(2000 x 0.01) + (4240 x 0.05) = $232

X/100 = 232/6240

= 23200/6240 = 3.7%

please help me with this sum I will mark you as brainest​

Answers

Answer:

Step-by-step explanation:

3/6 x 8

= ( 3 x 8 ) / 6

= 24 / 6

4/7 x 2

= ( 4 x 2 ) / 7

= 8 / 7

9/2 x 3

= ( 9 x 3 ) / 2

= 27 / 2

8/5 x 7

= ( 8 x 7 ) / 5

= 56 / 5

3/9 x 5

= ( 3 x 5 ) / 9

= 15/9

7/4 x 4

= ( 7 x 4 ) / 4

= 28 / 4

6/2 x 6

= ( 6 x 6 ) / 2

= 36 / 2

8/3 x 9

= ( 8 x 9 ) / 3

= 72 / 3

9/4 x 8

= ( 9 x 8 ) / 4

= 72 / 4

5/3 x 6

= ( 5 x 6 ) / 3

= 30 / 3

2/7 x 3

= ( 2 x 3 ) / 7

= 6 / 7

8/4 x 7

= ( 8 x 7 ) / 4

= 72 / 4

6/4 x 2

= ( 6 x 2 ) / 4

= 12 / 4

Evaluate the expression -2​

Answers

Answer:  2x for x=3: 2(3) = 6.

Step-by-step explanation:

which matrix multiplication is defined?​

Answers

D is a matrix multiplication that is defined

Mary is doing research on bird migration. Last week she counted 12 migration birds in her yard. This week she counted 10. What was the percent decrease in birds this week?​

Answers

16.67% decrease in birds per weeks

What is the solution to the system of equations? y=−2x−64x−y=−36 (−15, 24) (−7, 8) (−5, 4) I don't know.

Answers

Answer:

Since y = −2x − 6 and 4x − y = −36, the solution would be B.) (-7, 8).

A solution to the given system of equations is [tex](\frac{100}{3}, \frac{8}{3} )[/tex]

Given the following system of equations:

[tex]y=-2x-64[/tex]  ...equation 1.

[tex]x-y=-36[/tex]   ...equation 2.

To find a solution to the given system of equations, we would use the substitution method:

First of all, we would make x the subject of formula in equation 2.

[tex]x=-36+y[/tex]  ...equation 3.

Substituting eqn. 3 into eqn. 1, we have:

[tex]y = -2(-36+y)-64\\\\y=72-2y-64\\\\y+2y=72-64\\\\3y=8\\\\y=\frac{8}{3}[/tex]

For the value of x:

[tex]x=-36+y\\\\x=-36+\frac{8}{3} \\\\x=\frac{100}{3}[/tex]

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0.5 ÷ 10.2 If you solve this, can you show the steps of this equation?​

Answers

Answer:

0.5/ 10.2

Well its basically

Well first you gotta make sure the 10.2 is a whole number in order to divide

so we can multiply by 10

that turns it into 102

Now what we do do 10.2 we do to 0.5 to make it equal which makes0.5*10=5

Now its easier so its 5/102

Now we just divide normally

*assuming its rounded to the nearest hundredths

0.05

7÷5=2. Prove It




Based on Critical Thinking and Reasoning. Not normal mathematics.

Answers

the answer is 1.4 not 2

Helps plz and no links

Answers

Answer:

1+2+3- -9+236359

Step-by-step explanation:

Answer:

y=-4x-7

Step-by-step explanation:

if you use the slope formula, y2-y1 over x2-x1 using any two points from the grid, you get a slope of -4.

if you use the slope intercept form, y=mx+b, and plug in y, m the slope, and x, you get -3=-4(-1)+b

if you solve that, you get -3=4+b

and if you isolate 4 by subtracing 4 from both sides, b=-7.

then you plug slope and y intercept into formula, and get y=-4x+b

Which is a recursive formula for this geometric sequence? -320, -80, -20, -5, . . .

Answers

The recursive formula for the geometric sequence is:

[tex]f(n) = \frac{1}{4}f(n - 1), f(1) = -320[/tex]

What is a geometric sequence?A geometric sequence is a sequence in which the coefficient of consecutive terms is always the same, called common ratio q.

The recursive equation for a geometric sequence is:

[tex]f(n) = qf(n - 1)[/tex]

With f(1) as the first term.

In this problem, the sequence is: {-320, -80, -20, -5, . . .}

The first term is [tex]f(1) = -320[/tex].The common ratio is [tex]q = \frac{-80}{-320} = \frac{1}{4}[/tex]

Hence, the recursive equation is:

[tex]f(n) = \frac{1}{4}f(n - 1), f(1) = -320[/tex]

You can learn more about geometric sequence at https://brainly.com/question/11847927

The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]

Geometric progression

The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]

n the following sequence  -320, -80, -20, -5,...

The The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]is given as:

r = -80/-320 = -20/-80 = 1/4The first term = -320

The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]

Learn more on geometric functions here: https://brainly.com/question/222209

Katie is 1.83 m tall. George is 9 cm shorter than Katie. How tall is George?
Give your answer in cm

Answers

1.83 m would convert to 183 cm. If George is 9 cm shorter than her, 183 cm - 9 cm is 174 cm.

Write an equation of the line in slope-intercept form.

Answers

Answer:

y = x + 4

Step-by-step explanation:

From point (-1, 3) to point (0, 4), go up 1 (rise = 1) and go right 1 (run = 1).

slope = m = rise/run = 1/1 = 1

The y-intercept is b = 4

y = mx + b

y = x + 4

Evaluate.

2 1/4 + 2/5 / (-1/2)-1/4

Enter your answer as a mixed number in simplest form in the box.

Answers

Answer:

[tex]1\frac{1}{5}[/tex]

Step-by-step explanation:

2 1/4 + 2/5 / (-1/2)-1/4

order of operation states you do division before subtraction or addition

2 1/4 -4/5 -1/4....divide 2/5 by -1/2

2 - 4/5.................combine like terms

6/5........................subtract

1 1/5.......................simplify

NEED HELP I DONT REMEBER DIS

Answers

1 . RTP
2 . NM
3 . x = 7

Answer:

a. ΔMNK =Δ [tex]PRT[/tex]

b. TR=MN

c. [tex]x=7[/tex]

Step-by-step explanation:

I hope this help you

thanks in advance ill mark brainliest​

Answers

Answer:

100º

Step-by-step explanation:

Cooresponding angles are congruent

11x + 1 = 10x + 10

Subtract 10x from both sides

x + 1 = 10

subtract 1 from both sides

x = 9

θ = 11x + 1

θ = 11(9) + 1

θ = 99 + 1

θ = 100º

Please help I do not really know what I’m doing if you could give an example of that would be good too but if not that’s OK

Answers

Answer:

the dot would be shaded in and from -6 go to the left

Step-by-step explanation:

Original price of shorts $53.95 Discount 30% Tax 4.5 percent %

Answers

Answer:

$39.50 is the final payment.

Step-by-step explanation:

0.3 x 53.95 = 16.185

53.95 - 16.185

= 37.765

0.045 x 37.765 = 1.699425 + 37.765

= 39.464425 and round

Three friends do
Word together for 5 days. The first friend does it alone for 15days. The second friend does it alone for 12 days.
many days does the third do it alone for?

Answers

Answer:

I think 9 days

Pls mark as brainliest answer if it helps you

4

in one month we have 31 days so

31-15-12=4

hope it helps

whay are the fourth and fifth number on the sequence 1,4,27.?..,..?..46656

Answers

Answer:

256, 3125

Step-by-step explanation:

This may be the sequence n^n:  1^1, 2^2, 3^3, 4^4, 5^5, 6^6, ...

Let's check with the numbers we see:

1^1 = 1

2^2 = 4

3^3 = 27

6^6 = 46656

Yes, this is the sequence n^n.

The 4th term is:

4^4 = 256

The 5th term is:

5^5 = 3125

What is -3/2 as a decimal

Answers

Answer:

-1.5

Step-by-step explanation:

To convert a fraction to a decimal number divide the numerator (-3) by denominator (2)

Answer:

-1.5

Step-by-step explanation:

Which equation has the solution x = 3?


Select each correct answer.


2x + 4 = 10

9−3x=0

3x + 1 = 9

9x−1=4

x3+5=6

5x−7=1 giving 50 pointss so hurry

Answers

Answer:

A and B

Step-by-step explanation:

A: 2x3=6 6+4=10 so correct

B: 9-9=0 so correct

Answer:

2x+4=10

Step-by-step explanation:

2x=10-4=

2x=6

x=6÷2=

3

Please Help me Solve this question

Answers

Answer:

Step-by-step explanation:

Correct Answer: C

We can rely on the guess and check method to easily solve this problem. Let’s first pick arbitrary values of x and y to eliminate some answer choices.

Let’s consider the case where |x| and let x = 3 and y = -10.

Because x/y = -3/10 < 1, answer choice A is incorrect.

Because |x|2 = (3)2 = 9 and |-10| = 10, we have that |x|2 < y, so answer choice B is also incorrect.

Because x2 + 1= (3)2 + 1 = 10 and y2 + 1 = (10)2 + 1 = 101, we have that x2 + 1 < y2 + 1, so answer choice D is also incorrect.

Now, let’s consider the case where |x|>|y| and let x = 3 and y = -2.

Then, x-2 = 1/x2 = 1/9 and y-2 = 1/y2 = 1/4. This means that x-2 < y-2 , so answer choice E is also incorrect.

This means that answer choice C is correct. We can manipulate the inequality to see why this is true: (x/3 – 5) > (y/3 – 5)

We add 5 to both sides: x/3 > y/3

We multiply both sides by 3: x > y.

We know this is true since we are given that x > 1 > -1 > y, which simplifies to x > y.

A line that passes through (3, 1) and (0, -3)

Answers

You can first plot these points on the graph. If you need the slope do y2-y1/x2-x1

Question Number 12, i need help!! It’s geometry.

Answers

x = 13

( x + 4) / 51 = (2x - 7) / 57
585 = 45x
585/45 = 45x/45
x = 13

please help me with this sum I will mark you as brainest​

Answers

Answer:

6/8 × 6 = 9/22/5 × 4 = 8/59/3 × 9 = 277/4 × 8 = 148/6 × 2 = 8/34/9 × 7 = 28/93/8 × 3 = 9/87/2 × 4 = 146/3 × 6 = 12 8/9 × 3 = 8/3

Hope It's Help

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