Sammie bought just enough fencing to border either a rectangular plot or a square plot,

shown. The perimeters of the plots are the same. How many feet of fencing did she buy?


(3x + 6) feet.

———————

| |

| | (x - 1) feet

|__________|


(x + 6) feet

___________

| |

| |

| | (x + 6) feet

| |

|__________ |


Sammie bought____feet of fencing.

Answers

Answer 1

Answer:

3.5 feet

Step-by-step explanation:

The question isn't formatted properly.

We have:

(x + 6) feet on each side of the square

(3x + 6) feet horizontally on the rectangle

(x - 1) feet vertically on the rectangular

First, we need to determine the perimeter of the square:

[tex]Perimeter = 4 * Length[/tex]

[tex]Perimeter = 4 * (x + 6)[/tex]

[tex]Perimeter = 4x + 24[/tex]

Next, we determine the perimeter of the rectangle

[tex]Perimeter = 2(Length + Width)[/tex]

[tex]Perimeter = 2(3x + 6 + x - 1)[/tex]

[tex]Perimeter = 2(3x + x+ 6 - 1)[/tex]

[tex]Perimeter = 2(4x+ 5)[/tex]

[tex]Perimeter = 8x+ 10[/tex]

Equate both perimeters:

[tex]8x + 10 = 4x + 24[/tex]

Collect Like Terms

[tex]8x - 4x = 24 - 10[/tex]

[tex]4x = 14[/tex]

Solve for x

[tex]x = 14/4[/tex]

[tex]x = 3.5[/tex]


Related Questions

Suppose that y varies directly with x and y=12 when x=-2. What is x when y=-6
Please help me!!

Answers

9514 1404 393

Answer:

  x = 1

Step-by-step explanation:

You can work this several ways.

1) Consider the factor that gets you from the y-value of the known pair to the y-value of the unknown pair. Here, that factor is -6/12 = -1/2.

Then the unknown value of x is the known value multiplied by that same factor:

  x = (-1/2)(-2)

  x = 1

__

2) You can write the equation for a "varies directly" relationship and solve for the constant of proportionality. Then you can use that equation to find the unknown value of x.

  y = kx . . . . . . . . . . . . . . y varies directly with x

  k = y/x = 12/-2 = -6

Now we know ...

  y = -6x

Filling in the new value for y, we have ...

  -6 = -6x

  1 = x . . . . . . divide by -6

__

3) You can write a proportion. Since we want to find a value for x, it is convenient to put that in the numerator.

  -2/12 = x/-6

Multiplying by -6, we get ...

  (-6)(-2)/12 = x = 1

Hewwo! can anyone answer this? giving brainliest to whoever explains! tysm c:

Answers

Answer:

4

Step-by-step explanation:

Basically it's dividing the pounds of dog food to the bags of food by 4

I need help ASAP. thank you in advance!

Answers

Answer:

True, depending on where f(x) is located

Step-by-step explanation:

show that: (1-sin x)/(cos x)=(sec x - tan x)​

Answers

This is the step-by-step explanation

Given the formula A = pi r squared, how does the A vary in relation to the square of the radius?
a.
varies inversely
c.
varies jointly
b.
varies directly
d.
no relationship

Answers

I think it’s the third one. As the radius increases, so does the area.

What are the domain and range of the function?

f(x)=35x5

Answers

Answer:

Assuming that the question is  

[tex]f(x)=\frac{3}{5x^5}[/tex]

The asnwer would be

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

Step-by-step explanation:

The domain and range of the function are:

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

Domain and  Range of function

The domain are the input values for which a function exist while the range are output value for which the function exist.

Given the function:

g(x) = 35x^5

The function can exist on all real values since we will have a correspoding value of y for every value of x.

Hence the domain and range of the function are:

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

Learn more on domain and range here: https://brainly.com/question/2264373

Just one more question I need this in a step by step please

Answers

Answer:

2x+20+3x+40=90

5x+60=90

5x=30

x = 6

2x+20 = 2(6)+20

12+20

=32

3x+40 = 3(6)+40

18+40

=58

Answer:

Here we can first find the value of x simply by using the concept of corresponding angles.

As we know that angle with measurement 2x+20Degree and the right angle below are corresponding as we can consider the line (underlined in red) as a transversal intersecting lines underlined in green. {PLEASE SEE THE ATTACHMENT TO SEE THE HIGHLIGHTED LINES}

So, we get 2x+20 degree = 90 degree.

=  2x+20=90

=  2x=90-20

=  2x=70

=  x= 70/2

=  x=35 degree.

Now as we know the value of x we can find the other unknown angle by substituting it in the equation for the other angle.

Therefore, 3x+40degree= 3*35+40

105+40

=  145 degrees.

ou are at the county fair and play a game that involves throwing a baseball at target. You get 3 baseballs, and you win a prize for each target you hit. Your chance of hitting a target with a baseball is 0.74. Assuming each throw is independent of all the others, what is the probability you win at least 1 prize

Answers

Answer:

0.98

Step-by-step explanation:

Prob (Ball target & prize ) = 0.74

Prob (Ball no target & no prize) = 1 - 0.74 = 0.26

Three Balls : Prob (atleast 1 prize) = 1 - Prob (No ball target & no price)

= 1 - (0.26)^3

= 1 - 0.017576

= 0.982424

To which subsets of the real numbers does the numbers -57 belongs?

Answers

Answer:

integer, rational number

Step-by-step explanation:

-57 is an integer because integers include negative and positive numbers that are not decimals or fractions. it is also a rational number because it can be converted into a fraction. these are subsets of the real numbers category.

Help me on these questions

Answers

2) 5:3=15:25
3)18:12=27:8

James wants to buy a phone card for international calls when he travels to Paris this summer. He can buy a 200-
minute card for $10.50 or a 300-minute card for $18.25. Which card is cheaper to buy per minute? (2pts) Write the
number of minutes card on the answer line.

Answers

Answer:eoeould say 18.25 because for 300 minutes only for 18.25 is cheap.And yes the other one is cheaper but for the money but its only 200.Tell me would YOU want only 200 instead of 300 because 300 costs a lot more than 18.25 so that person must be getting it on sale lol HOPE THIS HELPS AND IS RIGHT!!!!! ;)

Step-by-step explanation:

A producer plans an outdoor concert for the weekend. The cost of the concert is $8,000 which includes advertising, security, printing, tickets, etc. The producer plans to profit $15,000 if all goes well. However, it it rains, the concert will be canceled. The chance of rain is 0.3 according to the weather report. Find the producer’s expected profit.

Answers

Answer: $8,100

Step-by-step explanation:

If it does not rain, the producer stands to make a profit of $15,000.

If it rains, the producer will lose the $8,000 they invested.

The chance of rain is 0.3 which means the chance it does not rain is 0.7.

Producer's expected profit is the weighted average of these outcomes;

= (15,000 * 0.7) + ( -8,000 * 0.3)

= 10,500 + ( - 2,400)

= $8,100

what is the answer to this question

Answers

Answer:

i think i am going to pick a random letter because i cant see it ts blocked so i guess c

Step-by-step explanation:

how many metric tons are in 834.8 mg?​

Answers

Answer:

8.384

Step-by-step explanation:

Answer:

8.348e-7 metric tons

Step-by-step explanation:

a + 4 = 6, when a = 2. true false open

Answers

True
Pls mark brainliest

Answer:

True.

Step-by-step explanation:

[tex]a+4=6[/tex]

[tex]a=2[/tex]

To see if the equation would be correct given the value of [tex]a[/tex], we have to substitute:

[tex]2+4=6[/tex]

[tex]6=6[/tex]

Since both sides of the equation are equal, the statement is true.

The price of a pair of shoes increases from $69 to $73. What is the percent increase to the nearest percent?

Answers


Answer: 5.79% or 5.8%

Step 1: Calculate the change by subtracting old cost ($69) from the new cost ($73)
Step 2: Divide that change by the old cost ($69). You will get a decimal number
Step 3: Convert the decimal number to a percentage by multiplying by 100%

Have a great rest of your day!

the 80th term of an arithmetic sequence is 110.75 and the common difference is 1.25. What is the first term of the sequence?

Answers

Answer:

12

Just plug it in [the equation] to try it to

please help me. the picture can help me..​

Answers

Answer:

i'm too lazy 2 do this rn, but just divide each price by the amount of water per pack. which ever one is the least is ur answer :p

Step-by-step explanation:

Answer:

Store 3

Step-by-step explanation:

May i have brainiest

Solve:
a.) 5(x - 2) > -15
AND
b.) x/1 - 9 < -10

Answers

Answer:

a.) x>-1

b.) x/1 - 9 < -10

Step-by-step explanation:

a.)

5(x - 2) > -15

(divide both sides)

x-2>-3

(move the constant to the right)

x>-3+2

(calculate)

x>-1

(answer)

b.)

x/1 - 9 < -10

(divide)

x-9<-10

(move the constant to the right)

x<-10+9

(calculate)

x/1 - 9 < -10

(answer)

Find the balance in the account after the given period. $4000 principle earning 3% compounded annually 6 years

Answers

Answer: it would be 3000 that’s what it is

Step-by-step explanation:

Write the expression using exponents.

a⋅a⋅c⋅c

Answers

The expression using exponents we can rewrite as [tex]a^2 . c^2[/tex] .

What are exponents ?The number of times a number is multiplied by itself is referred to as its exponent. For instance, 2 to the third (written as [tex]2^3[/tex] ) means: 2 x 2 x 2 = 8. 2 x 3 = 6 does not equal [tex]2^3.[/tex] Keep in mind that a number raised to the power of one is itself.Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.The key distinction is that an exponential function has its variable in the exponent, but a power function has its variable in the base.

To learn more about   exponent refer,

https://brainly.com/question/847241

#SPJ2

Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He wants to make a profit of $300 at the fair. What is the price he needs to sell each piece to make that profit?

Answers

Answer:

30 dollars

Step-by-step explanation:

Sice he has to make a profit of 300 dollars if you divide 100 by to you get 30.If Sanju sells the artwork at 30 dollars he will make 300 dollars

The price Sanju needs to sell each piece to make a profit of $300 overall is $34.4.

What is profit?

The profit is the difference between the selling price and the cost price of an item.

The cost of 10 pieces of artwork is,

Cost of producing 1 piece = $44/10 = $4.4

The Profit on 10 pieces of artwork is,

Profit of each piece = $300/10 = $30

The selling price of each piece of artwork is,

Selling price of each piece = Cost of production + Profit

                                             = $30 + $4.4

                                             = $34.4

Hence, the price Sanju needs to sell each piece to make a profit of $300 overall is $34.4.

Learn more about Profit:

https://brainly.com/question/15036999

#SPJ2

Mary used 1/2 of a can of paint to cover 1/8 of the outside of her house. How many cans of paint will Mary need to cover the entire outside of her house?

Answers

Answer:

4 cans of paint

Step-by-step explanation:

Half of a can = 1/8 of the outside of the house.

2 halves = whole can of paint

8/2=4

4 cans of paint

Help ASAP!!!.

Simplify the expression:
2x + 1 + 7x

Answers

9x + 1

combine like terms.

A bag holds 5 pounds of pet food. If Paul uses the 5 pounds of food to fill 6 plastic containers equally how much pet food will each container hold

Answers

Answer: 13 1/3 ounces

Explanation:
1 pound equals 16 ounces
5 x 16=80
80 ounces divided by 6 containers is equal to 13 1/3 ounces of pet food.

Answer:

answer is 0.85 repeat (a line over 5)

Step-by-step explanation:

all you have to do is divide 6 from (5 ÷ 6) wich gives you 0.85 continous (a line over 5) so 0.85 with a line over it is your answer

Help me please! I need help ASAP.

Answers

Answer:

the answer is B

Step-by-step explanation:

I’m pretty sure the answer is b

What is the slope of AB shown in the graph Below? This will help a lot of students.

Answers

Answer:

Its simply undefined

Step-by-step explanation:

The run is 0 so undefined

What is the opposite of -9

Answers

Answer:

positive 9

Step-by-step explanation:

Answer:

the answer is positive 9

Step-by-step explanation:

just positive 9

Understand How far apart are two parallel lines ℓ and m such that
T〈4, 0〉 (△DEF) = (Rm ∘Rℓ)(△DEF)?

Answers

Answer:

2 units

Step-by-step explanation:

what does they y represent in the equation y=mx+b​

Answers

Answer:

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

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