A vegetable garden is in the shape of a parallelogram with the dimensions shown.Parallelogram A B C D is shown. The length of A B is (4 r minus 2) feet, the length of B C is (2 r + 12) feet, and the length of A D is (3 r + 8) feet.

How many feet of fencing are needed to enclose the garden?

54 feet
68 feet
108 feet
140 feet

Answers

Answer 1

Answer:

t needs 68 feet to enclose the garden.

Step-by-step explanation:

In this problem, we are to solve the sides of a parallelogram ABCD to know the measurement to enclose a garden.

Take note that a parallelogram has two equal lengths and two equal widths. Let us assume that the parallelogram AB = CD is the length and AD = BC is the width.

Solving the problem

First, let us solve for r using the condition AD = BC

AD = BC

3r + 8 = 2r + 12

Simplify the equation

3r - 2r = 12 - 8

r = 4

Next, let us substitute the value of r to AB, BC, CD, and AD.

For AB:

AB = 4r - 2

AB = 4(4) - 2

AB = 16 - 2 = 14

For BC:

BC = 2r + 12

BC = 2(4) + 12

BC = 8 + 12 = 20

For AD:

AD = 3r + 8

AD = 3(4) + 8

AD = 12 + 8 = 20

For CD:

But AB = CD Therefore, CD = 14

Finally, let us solve the perimeter of the parallelogram

Perimeter = AB + BC + CD + AD

Perimeter = 14 + 20 + 20 + 14

Perimeter = 68 feet

Therefore, the fencing needed to enclose the garden is 68 feet.

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Step-by-step explanation:

Answer 2

Answer:

its B

Step-by-step explanation:


Related Questions

Given the following linear equation state the slope and the y-intercept.
y = 2x - 3
m =
b =

Answers

M= 2/1 slope , y intercept b= -3
M= 2

B= -3

I’m pretty sure

Help me please not tryna fail !

Answers

Answer:

x=27

∠JLK=2x+1=2(27)+1=55

Step-by-step explanation:

∠A+∠K=180

3x+13+∠K=180

∠K=167-3x

∠K+∠L+∠J=180

167-3x+39+2x+1=180

207-x=180

x=27

∠JLK=2x+1=2(27)+1=55

Don't worry, you aren't gonna fail. Take a deep breath and relax. Geometry is tricky but you got this. Have a nice night.

Answer:

x = 27°∠JLK = 55°

Step-by-step explanation:

∠AKL is exterior angle and as per property it is equal to sum of two non-adjacent angles:

∠AKL = ∠ KJL + ∠JLK3x + 13° = 39° + 2x + 1°

Solving for x

3x - 2x = 39° + 1 - 13x = 27°

And finding the value of ∠JLK:

∠JLK = 2x + 1 = 2*27° + 1° = 55°

What is the equation of the line that passes through the point (-6,6) and has a slope of 1/3

Answers

Answer:y=1/3x+8

Step-by-step explanation:

Plug it into point slope form

y-6=1/3(x+6)

y-6=1/3x+2

+6. +6

y=1/3x+8

HURRY PLEASE I DONT WANT TO FAIL

Answers

Answer:

2 is A. no solution

3 is C.  6

Step-by-step explanation:

SNAGG-PERRY RAMYA A store sells a shirt that is discounted by 10%. A coupon is used for an additional 10% off the discounted price. What is the total percentage discount on the shirt? ​

Answers

Answer:

20% off because 10+10=20 and you have to have 100% as the most possible and 100-80=20

and 80% is how much of the original cost u r paying for

Step-by-step explanation:

Jimarcus plans to build a fence at the back of his garden. If the fence will be 5 1/3 yards long, how many 2/3 yard sections of fence will he need?

Answers

Answer:

8

Step-by-step explanation:

I took 5 1/3 and turned it into 16/3 and looked to see how many times 2 goes into 16 and got 8 so the answer is 8

There are 12 rabbits at a pet store Gabriela has 5 1/2 ounces of parsley to feed the rabbits how much parsley does each rabbit get???

Answers

Answer:

2.18 ounces

Step-by-step explanation:

12/5.5=2.181...

rounded it is 2.18

hope this helps :3

if it did pls mark brainliest

How many planes appear in the figure?​

Answers

Answer:

five planes appear in the figure

Which of the following rational functions is graphed below?

Answers

B, because the graph is slightly tilted to the left, which means it should be in form of x + n, so the x value could be negative and til to the left.

A can of drink costs 32p. The cost of the drink has increased to 38p.
Jenny calculates that this is a percentage increase of 19%
Is Jenny's percentage correct?
PLZ SHOW WORKING OUT

Answers

Answer:

Jenny's percentage isn't correct

Step-by-step explanation:

You'd have to divide first:

38 / 32 = 1.1875 = (rounded) 1.19%

The percentage increase is 1.19%

Answer:

the percentage is 100 because you add 32 and 38 and equals 100 if you were to subtract you would have got 6%

Resuelve:
Debes formular las ecuaciones y aplicar el método de eliminación:

1. Para llevar 4 docenas de huevos y 3 libras de mantequilla, Angélica debe pagar
$36500; pero si lleva 3 docenas de huevos y una libra de mantequilla el valor será
de $25500. Ella desea saber entonces cuanto sale una docena de huevos y una
libra de mantequilla.
2. Dos números suman 60 y diez unidades mayor que el otro. ¿Qué números son?
3. He comprado 3 camisetas y 2 pantalonetas por $145.000 y, ayer, 2 camisetas y 5
pantalonetas me costaron 170.000. Determinar el precio de una camiseta y de un
pantaloneta.
4. En un concierto para el beneficio de una fundación de niños desplazados, se venden
todas las entradas y se recaudan 23 millones de pesos. Los precios de las entradas
son 50 mil pesos las normales y 300 mil pesos las vip. Calcular el número de
entradas vendidas de cada tipo si en total ingresaron 160 personas.
5. Calcula un número sabiendo que la suma de sus dos cifras es 10; y que, si
invertimos el orden de dichas cifras, el número obtenido es 36 unidades mayor que
el inicial.

porfavor es para mañana

Answers

Answer:

A partir del problemas vamos a crear una ecuación donde X es una docena de huevos y Y una libra de mantequilla

entonces: 4 docenas de huevos y 3 libras de mantequilla es igual a 14.100

en mi primera ecuación seria: 4X + 3Y = 14.100

ahora haremos la segunda ecuacion: tres docenas y 1 libra de mantequilla

en mi segunda ecuación seria: 3X + 1Y = 8.700 el plan es sumar las dos ecuaciones pero yo quiero que al sumarlas la variable "Y" desaparezca así que mi segunda ecuación la voy a multiplicar pór (-3) quedándome todo así:

primera ecuación: 4X + 3Y = 14.100

segunda ecuacion multiplicada por -3: -9X - 3Y = -26.1

al sumarlas obtengo como resultado: -5X = -12

resolviendo esa ecuacion obtengo que X=  

X=2.4

luego reemplazas X en la primera ecuación: 4X + 3Y = 14.100

reemplazando seria: 4 x (2.4) + 3Y =14.100

9.6 + 3Y = 14.1000

3Y= 14.100 - 9.6

Y=  

Y=1.5

entonces concluimos que la docena de huevos cuesta 2.4 $ y la libra de mantequilla 1.5 $

Step-by-step explanation:

If 3g - 11 + 3y, what is the value of y when g is 12?

Answers

Answer:

25 + 3y

Step-by-step explanation:

3g - 11 + 3y when g = 12

~Substitute

3(12) - 11 + 3y

~Simplify

36 - 11 + 3y

~Combine like terms

25 + 3y

Best of Luck!

Answer:

y=25

Step-by-step explanation:

I think this may be the answer but I'm not sure.

TRUE or FALSE: Darrell writes 15 text messages in 5 minutes. That is the same rate as 30 text messages in 15 minutes.
True

False

Answers

Answer:

false false false

Step-by-step explanation:

hope this helps :]

i need help right aways plz help

Answers

Angle w = 28 and x = 24, this is because that triangle has to add up to 180, and 52 plus 128 adds up to 180

Zeke ran 4 1/2 miles around the track. Each lap is 1/2 of a mile. How many laps did Zeke
run?

Answers

Answer:

Zeke ran 9 laps.

Step-by-step explanation:

Howard bought 3/5 pound of granola. He divided the
granola evenly among 4 friends. How much granola did
each friend get?

Answers

Answer:

Step-by-step explanation:

So because Howard wants to divide the granola evenly among all of his friends, we have to divide the amount of pounds he has by the number of friends he has.

(3/5) / 4

Dividing by four is the same as multiplying by the reciprocal of 4 which is 1/4.

So (3/5) * (1/4) is 3/20 which is .15 pounds

Of the following sets, which represents a function?

Situation A = {student's name, all the colors that the student likes}

Situation B = {student's name, names of all of the student's teachers}

Only A
Only B
Both A and B
Neither A nor B

Answers

Answer:

the second one only b or it could be neither of a nor b

Answer:

D

Step-by-step explanation:

It is neither A nor B because:

You would get so many different responses for Situation A and the same goes for Situation B!

i will give the crown

A semicircle has a diameter of 18 centimeters. What is its area? (Use 3.14 for pi)



113.04 cm 2
56.52 cm 2
127.17cm 2
1017.36 cm 2

Answers

correct answer: 127.17cm 2

A local television station runs 2.5 minutes of commercials during every 30 minutes of programming. At this rate, how many minutes of commercials will run from 7:00 a.m. until 9:30 a.m.?

Answers

Answer:

12.5 minutes of commercials

Step-by-step explanation:

9:30 - 7:00 = 2 and a half hours on air = 150 minutes.

150 / 30 = 5

5 x 2.5 = 12.5

Answer:

92 minutes or 1 hour and 42 minutes

Step-by-step explanation:

For what purposes do students collect data? Check all that apply. to check a statement’s credibility to answer a question to support an argument to evaluate a statement to examine a question’s reliability

Answers

Answer: a: to check a statement’s credibility

b: to answer a question

c: to support an argument

d: to evaluate a statement

Step-by-step explanation:

Edg2020

Answer:

A B C D

Step-by-step explanation:


What is 0.2(5x – 0.3) – 0.5(–1.1x + 4.2) simplified?

Answers

Answer:

1.55 x − 2.16

Step-by-step explanation:

Answer:

1.55 x - 2.16

Step-by-step explanation:

Help am usually good at math but I don't understand this one problem

Answers

Answer:

Step-by-step explanation:

y = 70x + 100

Jenny bought 4 DVD's for $25.20. What was the unit rate?

Answers

I think its 6.3........

Answer:

1 dvd for $6.30

Step-by-step explanation:

25.20/4

pls do this.... it will mean a lot to me

Answers

Answer:

enjoy, just put your name on it

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.465 x 10^10

9.07x10^17

3.04 x 10^-6

4.56 x 10^-4

1.68 x 10^14

205,000

0.00000005712

0.006453

19,000

1,000,000

0.0000000004

0.000000004

30,000

25,000,000,000,000

530,000

390,000,000

0.00000025

0.0005

Please answer will mark as brainist!

Answers

Answer:

A. Y = 2/3x

Step-by-step explanation:

Each Y is 1/3 less than X

Answer:

The answer is B, 3/2x

Step-by-step explanation:

There is a difference in every amount by 1.5, and 1.5 in decimal form is 3/2. I hope this helps :)

Hellpp!!! will award brainliest for the first correct answer

Answers

Answer:

a) (-2,-1)

b) (-3,0) (-1,0)

Step-by-step explanation:

It tells you on the graph

Answer:

a) I think the turning point is max or min correct? If so, the min of the function is (-2, -1) AKA the vertex

b) I also think the roots are just another way to say the x-intercepts so in that case, the roots are (-1, 0) and (-3, 0)

Step-by-step explanation:

I hope that helps!

A tire manufacturer knows that 5% of tires contain a defect, and the presence of a defect is independent from tire to tire.
What is the probability that if 5 tires are inspected, exactly 1 has a defect?
Round to 3 decimal places.

Answers

Answer:

the answer is 0.204

Step-by-step explanation:

The probability that if 5 tires are inspected, exactly 1 has a defect is 0.204

How to determine the probability?

The probability that a tire is defect is given as:

p = 5%

The required probability is then calculated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x}[/tex]

Where:

n = 5 --- number of tires

x = 1 ---number of tires with defect

So, we have:'

[tex]P(1) = ^5C_1 * (5\%)^1 * (1 - 5\%)^{5 - 1}[/tex]

This gives

[tex]P(1) = 5 * (5\%) * (1 - 5\%)^4[/tex]

Evaluate the product

P(1) = 0.204

Hence, the probability that if 5 tires are inspected, exactly 1 has a defect is 0.204

Read more about probability at:

https://brainly.com/question/251701

#SPJ2

Your parents gave you $20 to spend at the book fair. You are getting the new Diary of the Wimpy kid book that costs $8.99/ If pencils and erasers cost $0.79 each, what is the maximum you can buy with the money provided?

Answers

Answer:

You can buy a maximum of 13 erasers/pencils.

Step-by-step explanation:

Your total is 20 dollars. The book cost 8.99, so you take away that amount from 20, getting you 11.01. You have $11.01 left. Then you divide your total (11.01) by the price of each eraser (0.79). This gets you 13.9367088608. Since thats not an even number, you have to round down because you don't want a broken pencil?eraser.

Which ratio is the simplest form of 68:84?
A 2:3
17:21
34:42
D 21:17

Answers

Answer:

17:21

Step-by-step explanation:

The ratio 68:84 in its simpliest form is;

68:84 (Since it can divided by 2 perfectly);

34:42 (We also divide this by 2 )

17:21

17:21 is the final answer and it can be divide any further. Since 17 is a prime number, it can't be divided and also 21 can be divided by 3 but 17 can't be divided by 3 so we leave the final answer like that.

Suppose you have $10 and your brother has $54. If you decide to save $10 of your allowance each week and your brother decides to save $6 of his allowance each week, in how many weeks will you have the same amount of money?

Set up the problem in steps please

Answers

Answer:  11 weeks

Step-by-step explanation: 11 x 10 + 10 = $120 and 11 x 6 +54 = $120

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