When Keisha installed a fence along the 200-foot perimeter of her rectangular backyard, she left an opening for a gate. In the diagram below, she used x to represent the length, in feet, of the gate.
.
What is the value of x, if the equation 2(x + 60) + 2(30) = 200 represents the Perimeter for the fencing of the backyard?

When Keisha Installed A Fence Along The 200-foot Perimeter Of Her Rectangular Backyard, She Left An Opening

Answers

Answer 1

Answer:

Step-by-step explanation:

From the picture attached, equation of the perimeter of the fence of the backyard should be,

(x + 60) + (60) + 2(30) = 200

x + 2(60) + 2(30) = 200

x + 120 + 60 = 200

x + 180 = 200

x = 200 - 180

x = 20 ft

If the given equation for the perimeter for the fencing of the backyard (As given in the question) is,

2(x + 60) + 2(30) = 200

2x + 120 + 60 = 200

2x + 180 = 200

2x = 20

x = 10 ft

Answer 2

Answer:

2(x + 60) + 2(30) = 200

2x + 120 + 60 = 200

2x + 180 = 200

2x = 20

x = 10 ft


Related Questions

A rectangular lawn measures 6m by 10m. Angela is planning a mulch walkway of width "x" around the entire edge of the lawn. Write a function that represents the area of the lawn combined with the area of the walkway.

Answers

Answer:

The answer is 60

Step-by-step explanation:

All you have to do is 6x10=60

$50.25 with buy one get one 50% off (SHOW WORK)

Answers

Answer:

i dont know if this is to answer buying 2

$75.74 for 2

Step-by-step explanation:

50.25*1.5=75.735

Answer:

25%

Step-by-step explanation:

because whats 50%-50%=0% so there's 25% left.

The lines graphed below show the amounts of water in two tanks as they were being filled over time.For each tank, explain whether or not there is a proportional relationship between the amount of water, in gallons, and the time, in minutes. If there is a proportional relationship, identify the unit rate. Use specific features of the graph to support your answer.
3 points

Answers

Answer: Tank B is proportional because tank A doesn't work because it doesn't go through (0,0) but if it was y=kx, then it would have to go through (0,0), since 0=k*0. For tank b k is 300.

I got 100 for this so gl

The relationship between time and the volume of water in Tank B is proportional.

What is a line graph?

A line graph is a type of graph where the data points are connected by segments of straight lines.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a line graph shown in the picture.

As we know,

Variables in a linear function will be proportionate if it passes through the origin.

y = mx + b

b is y-intercept = 0

y = mx

The relationship between time and the volume of water in Tank B is proportionate since the straight line passes through the origin.

Thus, the relationship between time and the volume of water in Tank B is proportional.

Learn more about the line graph here:

brainly.com/question/23680294

#SPJ2

9. For the points A(5,0) and B(7,3), calculate the angle between AB
and the x-axis.

Answers

Answer:

Trigonometry question: For the point A (5; 0) and B (7;3) calculate the angle between AB and the x-axis. The answer given in the book is as follows:56.3 degrees.

Solve this please :)

Answers

Answer:

3.75

Step-by-step explanation:

the unit range is 610 so 2287.5/610

How long is the fence around the softball field?

Answers

Answer: 456

Step-by-step explanation:

The manufacturing cost of a cell phone was $124. Sellers first marked up the cost by 20 percent. Sales were poor, so sellers decreased the markup to 15 percent. Calculate the old and new selling prices.

Answers

Im Not sureeeee sorryyy
124 x 1.20 = 148.80
124 x 1.15 = 142.60

A retailer (GameStop, Target, or other stores) will receive 23% of the sale price of a video game. If a retailer sells a video game for $60.00, how much money will the retailer receive?

Answers

Answer:

$13.80

Step-by-step explanation:

23% of 60 = .23 x 60

Zoologists have been carefully observing an
endangered species in the foothills. They have
noticed that the population, P, of the animal in the
foothills has increased by 3% each year. Their
observations indicated that 500 of the animals
were initially in their study.
Which rule can be used to estimate the
population of the endangered animal over time?

Answers

Answer:

i would do last option

Step-by-step explanation:

Answer it guys pls idk how... you can also show the steps. For those who answer it all correctly I will give the brainliest answer

Answers

Answer:

essentially, in these problems, youre finding the square root of each number. the square root should be a decimal thats in between two other numbers, and those will be the integers that the value of the square root is between. unless the value is exactly a number and a half, it will be closer to one integer than the other. the work is below.

square root of:

59= 7.68

68= 8.246

78= 8.83

93= 9.64

104= 10.198

124= 11.14

33= 5.74

185= 13.6

215= 14.66

these are just the square roots. but, as you can see, each number is between two other whole numbers on a number line. So, just write down what those numbers are.

7.68 is between 7 and 8

8.246 is between 8 and 9

8.83 is between 8 and 9

9.64 is between 9 and 10

10.198 is between 10 and 11

11.14 is between 11 and 12

5.74 is between 5 and 6

13.6 is between 13 and 14

14.66 is between 14 and 15

so, we know thw numbers that each decimal is between, but we have to find which one each is cloest to. in order to do that, just know that if the decimal is more than .5 its closer to the larger number, and its its less than .5, its closer to thw smaller number.

7.68 is closer to 8

8.246 is closer to 8

8.83 is closer to 9

9.64 is closer to 10

10.198 is closer to 10

11.14 is closer to 11

5.74 is closer to 6

13.6 is closer to 14

14.66 is closer to 15

Heres 20p for whoever solves this

Two times x is 16 more than y. The sum of x and two times y is 18. Write two equations and graph to find the value of y

Answers

Answer:

i dont remember how to answer this so heres some info from the graph.

the y-intercept of the first equation is 8.

the y-intercept of the second equation is 18.

the equations cross at (10,4)

Answer:

y = 4

Step-by-step explanation:

The teacher is handing out note cards to her students. She gave 121 note cards to the first student, 144 note cards to the second student, 169 note cards to the third student, and 196 note cards to the fourth student. What kind of sequence is this?

Answers

Answer: repeated addition i think

Step-by-step explanation:

4x+4y=4
3x+4y=10
Solve for elimination

Answers

Answer:

The solution is x=-6 and y=7

Step-by-step explanation:

Given equations are:

[tex]4x+4y =4\\3x+4y = 10[/tex]

In elimination method, the co-efficient of one of the variables are equated so that one variable can be eliminated by adding or subtracting the equations

In the given system of equations, the co-efficient of y is already same i.e. 4 so we only have to subtract the equations

Subtracting equation 2 from equation 1

[tex]4x+4y-(3x+4y) = 4-10\\4x+4y-3x-4y = -6\\4x-3x = -6\\x = -6[/tex]

Putting x = -6 in equation 1

[tex]4(-6)+4y = 4\\-24+4y = 4\\4y = 4+24\\4y = 28\\\frac{4y}{4} = \frac{28}{4}\\y = 7[/tex]

Hence

The solution is x=-6 and y=7

En una caja de cartón se empacan 400 latas de atún al acomodarlas resultan que caben 5 latas más a lo largo que a lo ancho y a lo alto caben 3 latas más que a lo ancho ¿Cuántas latas en total tocan el fondo de la caja?

Answers

Answer:

Hay 50 latas en total que tocan el fondo de la caja.

Step-by-step explanation:

Una caja de cartón es representada por un cuadrilátero, cuyas caras son rectángulos. Si la caja esta ocupada por completo, entonces la cantidad total de latas es representada por la siguiente expresión:

[tex]n_{V} = n_{w}\cdot n_{h}\cdot n_{l}[/tex] (1)

Donde:

[tex]n_{V}[/tex] - Total de latas de atún, adimensional.

[tex]n_{w}[/tex] - Cantidad de latas de atún a lo ancho de la caja, adimensional.

[tex]n_{h}[/tex] - Cantidad de latas de atún a lo alto de la caja, adimensional.

[tex]n_{l}[/tex] - Cantidad de latas de atún a lo largo de la caja, adimensional.

De acuerdo con el enunciado, tenemos las siguientes relaciones:

[tex]n_{V} = 400[/tex] (2)

[tex]n_{l} = n_{w} +5[/tex] (3)

[tex]n_{h} = n_{w}+3[/tex] (4)

Si aplicamos estas fórmulas a (1), tenemos el siguiente polinomio de tercer orden:

[tex]n_{w} \cdot (n_{w}+5)\cdot (n_{w}+3) = 400[/tex]

[tex]n_{w}\cdot (n_{w}^{2}+8\cdot n_{w}+15) = 400[/tex]

[tex]n_{w}^{3}+8\cdot n_{w}^{2}+15\cdot n_{w} -400 = 0[/tex]

Este polinomio se puede resolver por vía analítica por el Método de Cardano o por vía numérica, sus raíces son:

[tex]n_{w,1} = 5[/tex], [tex]n_{w,2} = -6.5+i\,6.144[/tex], [tex]n_{w,3} = -6.5-i\,6.144[/tex]

En consecuencia, la única solución válida es [tex]n_{w} = 5[/tex] y las variables restantes son por (3) y (4):

[tex]n_{l} = 10[/tex] y [tex]n_{h} = 8[/tex]

La cantidad de latas que tocan el fondo de la caja es igual al producto de la cantidad de latas a lo largo de la caja y la cantidad de latas a lo ancho de la caja, es decir:

[tex]n_{A} = n_{w}\cdot n_{l}[/tex] (5)

[tex]n_{A} = (5)\cdot (10)[/tex]

[tex]n_{A} = 50[/tex]

Hay 50 latas en total que tocan el fondo de la caja.

Titus cuts 3/4 inch sections of wood to make a birdhouse. He cut 36 sections. How many inches did he cut?

SHOW YOUR WORK FOR DOUBLE THE POINTS AND YOU GET PICKED BRAINLIST
!!! I WILL REPORT YOU IF YOU CHEAT!!!

Answers

Answer:

report me if i cheat nah its 4

Step-by-step explanation:

За + 16 = 5а
PLEASE HELP

Answers

Answer:

8 = a or a = 8

Step-by-step explanation:

3a+16=5a

-3a     -3a

16= 2a

/2    /2

8=a

Answer:

a = 8

Step-by-step explanation:

During a​ sale, a dress is marked down from a selling price of ​$68 to a sale price of ​$44.20. What is the percent​ markdown?

Answers

Answer:

35%

Step-by-step explanation:

Which expression is equivalent to 45 + 9
A. 5(49 + 4)
B. 2(43 + 7)
C.9(5 + 1)
D.15 (3 + 6)

Answers

Answer:

9(5+1)

Step-by-step explanation:

9 x 5= 45

9 x 1= 9

Answer:

c

Step-by-step explanation:

9(5+1)

distribute the 9 into the ( )

45+9

Find the number that belongs in the green box.

Round your answer to the nearest tenth.​

Answers

Answer:

9.2

Step-by-step explanation:

Since it is a right triangle, we can use pythagorean theorem to figure out the hypotenuse length.

a^2 + b^2 = c^2

6^2 + 7^2 = c^2

36 + 49 = c^2

c^2 = 85

square root both sides get

c= 9.219, rounded to nearest tenth is 9.2

please click heart to give thanks :)

crown for brainliest

Step-by-step explanation:

The number is 9.219

and nearest number is 9.2

If the point (3, 10) is on f(x), which point will be on f(x)+3?

please help me :(

Answers

Answer:

(3,13)

Step-by-step explanation:

so, you would add 3 to the y value

the point would be (3,13)

0,4.(7x+1,5y+6)=help​

Answers

Answer:

=(4)(7x+15y+6)

=(4)(7x)+(4)(15y)+(4)(6)

=28x+60y+24

6x - 5 = 5x + 3
If you get it right you get brainest

Answers

Answer:

x = 8

Step-by-step explanation:

6x - 5 = 5x + 3

6x - 5x = 3 + 5 (combining like-terms)

x = 8

Hope this helps!

Is $5.40 the same as $7.00?

Answers

Answer:

5.40 is not the same as 7.00

Step-by-step explanation:

Can y’all help me on question 19

Answers

C is your answer. Because 8 times 1.75$ = $14.00 and 5 times 1.25= $6.25. So $14.00+ $6.25 = $20.25

Multiply (-3x4y3z)(-4x2y3z).​

Answers

Answer:

-3×4ycube z square (-4)×2y3

-12cube z square (-4)×2y3

48ycube z square×2y3

96ycube z square y cube

288y3 (yz)square

I hope you will understand these squares or cubes

Write an equation in slope-intercepts form for the line that passes through (5, -4) and is perpendicular to the line described by 2x-10y=0
EXPLAIN what you did in each step to arrive at your answer plz

Answers

Answer:

y = -5x + 21

Step-by-step explanation:

First, put 2x - 10y = 0 into slope intercept form to find the slope:

Subtract 2x from both sides:

-10y = -2x

Divide each side by -10:

-10y = -2x

y = 1/5x

So, the slope of the line is 1/5.

Perpendicular lines have opposite reciprocal slopes, so the slope of the other line will be -5.

Then, use the equation y = mx + b to plug in the slope and the point given.

Solve for b:

y = mx + b

-4 = -5(5) + b

-4 = -25 + b

21 = b

Lastly, plug in the slope and b into y = mx + b to create the equation in slope intercept form:

y = -5x + 21 is the equation

What is the value of tan60.cot60​

Answers

Answer:

1

Step-by-step explanation:

[tex] \tan \: 60 \degree. \cot \: 60 \degree \\ \\ = \cancel{\sqrt{3}} \times \frac{1}{\cancel{ \sqrt{3} }} \\ \\ = 1[/tex]

multiple choice:/
for geometry:(

Answers

Answer:

neither parallel nor perpendicular

if you need an explanation, put it in the comments :)

Please help!! (Picture above) can you please explain how you did it? I’m confused.

Answers

9514 1404 393

Answer:

  9

Step-by-step explanation:

  (f ◦ g)(3) = f(g(3))

Each of the coordinate pairs for g correspond to ...

  (x, g(x))

Then g(3) can be found by looking for the pair that has 3 in the first location. That ordered pair is ...

  (3, 4)

so we know that g(3) = 4.

Now, we know that f(g(3)) = f(4). This tells us to look for the ordered pair in the f relation that has 4 as its first value. That ordered pair is ...

  (4, 9)

so we know that f(4) = 9.

__

In summary, ...

  (f ◦ g)(3) = f(g(3)) = f(4) = 9

Best Buy was selling video games for $60, they are on sale for 25% off,
what is the selling price of the video games? *

Answers

Answer:

$45

Step-by-step explanation:

Answer:

$45

Step-by-step explanation:

If they are 25% off, they are now wroth 75% of original price

0.75 * $60 = $45

please give thanks by hitting heart button :)

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