sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its width

Answers

Answer 1

Answer:

Length: 12 meters

Step-by-step explanation:

Step 1:

Let us start with the formula of the perimeter of a rectangle, [tex]P=2l+2w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle.

We can set width as variable x. We are also given that the length is three times the width, hence it can be represented as 3x.

Step 2:

We can now write our equation and solve for x :

[tex]24=2x+2*2x\\24=2x+4x\\24=6x\\x=\fbox{4}[/tex]

We set x as width, so the width is 4 meters. However, in this problem we are looking for the length. The length is three times the width, so it would be [tex]\fbox{12}[/tex] meters.

I hope this helps! Let me know if you have any questions :)

Answer 2

Answer:

From the given information, there are two equations in terms of x and y:

2x + 2y = 24 (perimeter of the rectangular plot)

         x = 3y (relationship between length and width)

The second equation is expressed in terms of x, so directly substitute the value of x into the first equation and find y:

2(3y) + 2y = 24

              y = 3

Substitute y in the second equation to find x:

x = 3(3)

x = 9

The fencing cost is $25 multiplied by the length of the side Sam wants to fence: 25 × 9 = 225. Therefore, Sam needs to spend $225 to fence that side of his plot.

Step-by-step explanation:


Related Questions

Help , what is the measure of p

Answers

Answer:

Step-by-step explanation:

let angle p be x

x+27=56 degree (sum of two opposite interior angle is equal to the exterior angle formed)

x=56-27

x=29 degree

therefore p is 29 degree.

the quotient of 6 divided by t

Answers

Answer:

6/t

Step-by-step explanation:

Quotient means divide

6/t

Answer:

you need to find out what the answer is or what t stands for!

Step-by-step explanation:

Use the distributive property to write an equivalent expression: 5(3x + 2)

Answers

Answer:

15x + 10

Step-by-step explanation:

5(3x + 2)

15x + 10

x = 24/12, x = 2 yes yes correct

Nandan bought some pencils at the rate of Rs 20 per pencil . He also bought an equal number of erasers at the rate of Rs 4 per eraser . He made 40 % profit on pencils and 50 % profit on erasers . At the end of the day, all the pencils and erasers were sold out and he made a profit of Rs 470 . Find the number of pencils he purchased.

Answers

Answer:

47 pencil

Step-by-step explanation:

Let x represent the number of pencils that were bought. Since equal number of erasers where also purchased, hence x erasers were purchased.

Cost of pencils = Rs 20 per pencil * x pencils = 20x

Cost of erasers = Rs 4 per eraser * x eraser = 4x

40% profit was made on pencils, hence:

Profit on pencils = 40% of cost price = 0.4 * 20x = 8x

50% profit was made on erasers, hence:

Profit on eraser = 50% of cost price = 0.5 * 4x = 2x

Since the total profit from pencil and eraser was Rs 470, hence:

8x + 2x = 470

10x = 470

x = 47

Therefore he purchased 47 pencil

I need help with my math!!!!!

Answers

Answer:

Y9 x4

Step-by-step explanation:

Each arrow points up from a y of 5 and an x of 0. They end at a y of 9 and an x of 4.

Find x this is geometry btw

Answers

Answer:

B

Step-by-step explanation:

Answer:

18 is the correct answer

10) Planteen la operación y resuelvan: El producto entre el cuadrado de -7 y la raíz cubica de 1728, todo eso sumado 14.

Answers

Answer:

(-7)^2*∛(1728) + 14 = 49*12 + 14 = 588 + 14 = 602

Step-by-step explanation:

Primero definamos las operaciones usadas:

El cuadrado de un número N, se escribe como N^2

La raíz cubica de un número M, se escribe como ∛(M)

El producto entre dos números, A y B, se escribe como A*B

Ahora queremos plantear la operación:

"El producto entre el cuadrado de -7 y la raíz cubica de 1728, todo eso sumado 14."

Lo podemos separar en partes:

"El producto entre el cuadrado de -7 y la raíz cubica de 1728,..."

esto se escribe como:

(-7)^2*∛(1728)

Ahora, la operacion completa es:

El producto entre el cuadrado de -7 y la raíz cubica de 1728, todo eso sumado 14.

Esto se escribe como:

(-7)^2*∛(1728) + 14

Ahora debemos resolver esta operación.

sabemos que:

(-7)^2 = 49

∛(1728) = 12

Reemplazando esos dos en nuestra operación, obtenemos:

(-7)^2*∛(1728) + 14 = 49*12 + 14 = 588 + 14 = 602

the data from two random samples with 500 students were asked about their favorite Olympic sport is shown what percentage of students choose snowboarding as their favorite sport
A.10.5%
B.51%
C.25%
D.21%

Answers

Answer:

d: 21%

Step-by-step explanation:

1. add 180+135+105+80=500 total

2. then find the percent of 105 from 500 (Determine the total or whole amount.

Divide the number to be expressed as a percent by the total. In most cases, you'll divide the smaller number by the larger number.

Multiple the resulting value by 100.)

you get an answer of 21%

21% of students chose snowboarding as their favorite sport.

If 15 mL of medicine must be mixed with 180 mL of water, how many mL of medicine must be mixed in 230 mL of water?

Answers

Answer:

19 1/6

Step-by-step explanation:

Because 15 divided by 180 is 0.08333333333.

times that by 230 = 19.166666666 or 19 1/6

Short answer please help

Answers

Answer:

Function 2 has the steeper slope.

Step-by-step explanation:

I need help please do not scam

Answers

Answer:

28.12

Step-by-step explanation:

No Need To Explain, Just Multiply.

Answer:

28.12

Step-by-step explanation:

a=bh

HELPP PLS LOLLLLEHVEVENSBD

Answers

Answer:

the correct answer is y = 2x+1

What is 6x3-5+21/3?

Answers

Answer: 20

Step-by-step explanation:

First is 6 x 3 which is 18 then take away 5 so it would be 13 and + 21/3 is basically a seven so its 20

Help
Find the circumference of this circle
using 3 for 7.
C ~ [?]

Answers

Answer:

C = 84

Step-by-step explanation:

14 × 2 = 28

28 × 3 = 84

#CarryOnLearning

[tex]\large\mathfrak{{\pmb{\underline{\blue{Given}}{\blue{:}}}}}[/tex]

Radius of the circle "[tex]r[/tex]" = [tex]14[/tex]

Value of [tex]π[/tex] = [tex]3[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\pink{To\:find}}{\pink{:}}}}}[/tex]

The circumference "[tex]C[/tex]" of the circle.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C≈ 84}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\green{Circumference\:of\:a\:circle \:=\:2πr }[/tex]

[tex] = 2 \times 3 \times 14[/tex]

[tex] = 6 \times 14 [/tex]

[tex] = 84[/tex]

Therefore, the circumference of the circle is [tex]\boxed{ 84 }[/tex].

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{❦}}}}}[/tex]

27% of the bowling balls were too heavy for Fred. If Fred had 511 to choose from, how many bowling balls were there in total?

Answers

Answer:

Step-by-step explanation:

.

If two angles are both vertical and supplementary, can we determine the angles? Is it possible to be both vertical and complementary? If so, can you determine the angles? Explain how you know ASAP

Answers

Answer:

Two angles can be vertical and supplementary only if they add up to 90 degrees because there perpendicular.

Step-by-step explanation:

Answer:

90 + 90 = 180, 45 + 45 = 90

Step-by-step explanation:

Supplementary angles add up to 180 and to be vertical angles they need to be equal to each other so 2x = 180

x = 90

Hence both angles will be equal to 90

Complementary angles add up to 90 and as previously stated, to be vertical angles they need to be equal to each other so 2x = 90

x = 45

Hence both angles equal to 45

Hope this helped!

What number is equal to its opposite?

Answers

Answer:

zero

Step-by-step explanation:

Which loan has the lowest total repayment?
Monthly Payment per $100
APR
3 years
4 years
5 years
6.9%
$3.08
$2.39
$1.98
7.9%
$3.13
$2.44
$2.02
8.9%
$3.18
$2.48
$2.07
Loan A
$17.601
6.9%
5 years
Loan B
$16,290
8.9%
3 years
Ο Α
OB
O They are the same.

Answers

Answer:

O B

Step-by-step explanation:

i think

CAN SOMEONE HELP ME ON THIS PLEASE AND THANK YOU.

Answers

Answer/Step-by-step explanation:

2/5 + 1/3

5 times 3 is 15, so 2*3 and 1*5

6/15 + 5/15

6+5 = 11, and 11/15 cannot be simplified so:

11/15

CO
What is the first step in solving the inequality m2 <-1?
Multiply both sides by 6.
O Add 2 to both sides.
O Change the direction of the inequality.
O Change the inequality to s.

Answers

Answer:

A( multiply both sides by 6)

As seen , the L.C.M is 6 so to do away with the fractional form, we will multiply by 6

I Need Help With this FLVS problem can anyone help me and my DBA is tomorrow

Answers

Answer:

B

Step-by-step explanation:

PlZ HELP !!!!!
if you can AWNSER any of these plz​

Answers

Answer:

Step-by-step explanation:

4 + 5x + x + 2  =  180   {linear pair}

5x + x + 4 + 2 = 180  {Combine like terms}

      6x + 6   = 180  {Subtract 6 form both sides}

              6x = 180 - 6

              6x = 174   {Divide both sides by 6}

                x = 174/6

x = 29

x + 2 = 29 + 2 = 31

5x + 4 = 5*29 + 4 = 145 + 4 = 149

2) 6x + 4 + 32 = 90   {Complementary angles}

           6x + 36 = 90   {Subtract 36 from both sides}

                   6x = 90 - 36

                    6x = 54       {Divide both sides by 6}

                      x = 54/6

x = 9

6x + 4 = 6*9 + 4 = 54 + 4 = 58

What is the perimeter of △ABC?
Round each step to the nearest tenth.

Answers

9514 1404 393

Answer:

  15.8

Step-by-step explanation:

The distance formula is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

so the distance from A to B is ...

  AB = √((-1-5)^2 +(1-(-1))^2) = √((-6)^2 +2^2) = √40 ≈ 6.3

Lengths BC and CA are similarly computed. (A spreadsheet does this nicely.)

The perimeter is the sum of the side lengths. It is ...

  P = AB +BC +CA

  P = 6.3 + 4.1 + 5.4

  P = 15.8

The perimeter of ∆ABC is 15.8 units.

n^8 x n x n^5
Simplify the expression. Write your answer as a power.

Answers

Answer:

 [tex]n^{14}[/tex]

Step-by-step explanation:

[tex]n^8 \times n \times n^5 = n^{8 + 1 +5 } = n^{14}[/tex]

You spin the spinner once.

6, 7, 8


What is P(odd)?

Write your answer as a fraction or whole number.

Answers

Answer:

1/3

Step-by-step explanation:

Does the spinner only have these 3 sections?

If so, the probability of spinning an odd number is 1/3. There are a total of 3 possibilities (denominator), and only 1 is odd (numerator).

The P(odd) is the probability of spinning an odd number that would be equal to 1/3.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

You spin the spinner once.

6, 7, 8

There are a total of 3 possibilities (denominator), and only 1 is odd (numerator).

So, the probability of spinning an odd number = 1/3.

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

Find area AND perimeter of the shape

Answers

Step-by-step explanation:

for the perimeter...

18-6=12

that's to get the slant side

perimeter=10+6+12+12+20

=60

for the area I'm not sure how to solve it sorry!!

Answer:

10 x 6 = 60

20 + 10 = 30, 30 x 12 x 1/2 = 180

180 + 60 = 240 cm2 is your area

6 + 6 = 12, 12 + 10 = 22, 22 + 20 = 42

Now lets find hypotenuse:

10 - 20 = 10, 10 divided by 2 = 5

5^2 + 12^2

25 + 144 = 169

Square root of 169 is 13

Add perimeters:

42 + 13 = 55 cm is your perimeter.

A large waffle cone has a radius of 1.5 in, and a height of 6 in.
To the nearest tenth of an inch, what is the volume of the waffle cone? Enter the answer in the box.

Answers

Answer:

11.8in^3

Step-by-step explanation:

i just had it

4/7 x 13/9 =

plz help

Answers

the correct answer is 52/63 or 0.825396
~Hİ ~

Answer : [tex] \frac{4}{7} \times \frac{13}{9} = \frac{52}{63} [/tex]

Please help ASAP y’all!!!

Answers

the correct answer is C)126

Answer:

126

Step-by-step explanation:

to find x one would need to 147 - 21 which results to 126

What is the value of the product (3 - 2i)(3 + 2i)

Answers

Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

FOIL

first  3*3 = 9

outer 3*2i = 6i

inner -2i*3 = -6i

last  -2i * 2i = -4i^2 = -4(-1) =4

Add together

9+6i-6i+4 = 13

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