The length of a rectangular dog run is 2 feet more than twice the width, w, and the perimeter of the dog run is 32 feet. Solve the equation
2w + 2(2w + 2) = 32 to find the width, w, of the dog run. Then find the length, 2w+2, of the dog run.

Answers

Answer 1

Answer:

The width is:

width = 4.7 feet

The length is:

length = 11.3 feet

Step-by-step explanation:

Given the equation

[tex]2w\:+\:2\left(2w\:+\:2\right)\:=\:32[/tex]

[tex]2w+4w+4=32[/tex]          ∵ [tex]a\left(b+c\right)=ab+ac[/tex]

Add similar elements: 2w+4w=6w

[tex]6w+4=32[/tex]

subtract 4 from both sides

[tex]6w+4-4=32-4[/tex]

[tex]6w=28[/tex]

Divide both sides by 6

[tex]\frac{6w}{6}=\frac{28}{6}[/tex]

[tex]w=\frac{14}{3}[/tex]

Hence, the width is:

[tex]w=\frac{14}{3}[/tex]

w = 4.7 feet

Therefore, the width is: 4.7 feet

As the length is:

2w+2 = 2(14/3)+2

          = 28/3 + 2

           = 34/3

            = 11.3 feet

Therefore, the length is: 11.3 feet

SUMMARY:

The width is:

width = 4.7 feet

The length is:

length = 11.3 feet

Related Questions

(8x - 20)°
(3x + 5)°​

Answers

Answer:

Step-by-step explanation:

Simplifying :

8x + -20 = 3x + 5

Reorder the terms:

-20 + 8x = 3x + 5

Solving:

-20 + 8x = 5 + 3x

Add '-3x' to each side of the equation:

-20 + 8x + -3x = 5 + 3x + -3x

Combine like terms: 8x + -3x = 5x :

-20 + 5x = 5 + 3x + -3x

Add '20' to each side of the equation:

-20 + 20 + 5x = 5 + 20

Combine like terms: -20 + 20 = 0 :

0 + 5x = 5 + 20

5x = 5 + 20

Divide each side by '5':

x = 5

Simplify:

x=5

The table gives the results of a survey of 1000 people about reducing industries' carbon emissions. Favor Oppose No Opinion TotalDemocrat 320 150 50 520Republican 125 345 10 480Total 445 495 60 1000If the group surveyed represents the people of the United States, what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republican? (Enter your probability as a fraction.)

Answers

Answer:

1 / 8

Step-by-step explanation:

Given the data

_____Favor __Oppose__ No Opinion__Total

Demo 320___ 150 ______50 _______ 520

Repub 125___ 345 _____ 10 _________480

Total 445 ___495 ______60 ________ 1000

what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republica

From the table provided :

n(favor n republican) / n(Total)

Number of republican who are in favor = 125

Total number of persons = 1000

Hence,

125 / 1000

= 1/8

Please help ASAP! Mathematics!

Answers

Answer:

B.) See attachment below

Step-by-step explanation:

Answer:

Personally, I would say the answer is B.

But don't quote me.

Sorry if i'm wrong. Let me know if I am.

Have a great day hon.

Add simplify the answer and write it as a mixed number 7 3/7 + 3 3/5

Answers

You should first make 7 3/7 and 3 3/5 into improper fractions that would be 52/7 and 18/5 then we can add but we have to make them equivelent in order to do so.  

52/7 = 260/35

18/5 = 126/35

Add 260 and 126 and we will get 386/35 but remember we still have to make it a mixed number so we finally get the answer of 11 1/35

what is the slope of the graph in the picture

pls help it's closing in 40 minutes

pls explain how you got the answer

Answers

Answer:

-2

or

-2/1

Explanation:

**Slope = rise/run**

By counting the distance between the points, from (0,3) to (1,1) , it went down 2 units and right by 1 unit

Answer:

m= -2

Step-by-step explanation:

Pick two points and subtract the y coordinates, then subtract the x coordinates, (0,3) and (1,1)  or (1,1) and (2,-1)

[tex]m = \frac{y_{2_ } - y_{1} }{x_{2} -x_{1} } = \frac{1-3}{1-0} = \frac{-2}{1} = -2[/tex]      [tex]\frac{-1-1}{2-1} = \frac{-2}{1} = -2[/tex]



Calculate how wide each space should be.

The lot is 41 feet wide.

The dividers are each 6 feet wide.

The dividers need to go evenly in

Answers

Answer:

Each space should be 6.83333 feet wide.

Step-by-step explanation:

a) Data and Calculations:

Lot = 41 feet wide

Dividers = 6 feet wide

For even spacing, 41/6 = 6.83333 feet

b) The quotient is equal to the dividend divided by the divisor.  Since the lot is 41 feet wide, the quotient, when divided by some 6-feet wide dividers, will be equal to 6.83333 or 7 feet wide.  This implies that each divider will occupy a space equivalent to 7 feet or specifically 6.83333 feet wide.

Margaret is making strawberry milkshakes for the kids party. The recipe calls for 1/3 of a cup of strawberry syrup to make 8 milkshakes. How many cups of Strawberry syrup are needed to make 48 milkshakes?
A.) 3
B.)2
C.)16
D.) 8

Answers

Answer:

B. The answer is 2 cups.

12‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

AGAIN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Is there a question or are you giving out free points???

Which congruence theorem can be used to prove △BDA ≅ △DBC?

Triangles B D A and D B C share side D B. Angles C B D and A D B are right angles. Sides C D and B A are congruent.

HL
SAS
AAS
SSS

Answers

Answer:

HL

Step-by-step explanation:

The triangles share a congruent hypotenuse as well as one side. This qualifies for the Hypotenuse leg theorem.

Answer:

A: HL

Step-by-step explanation:

4x^2 - 9y^6
what patterns can be used ?
please and thank you !!!

Answers

Answer:

B. (U+V)(U-V)

Step-by-step explanation:

Factoring

The given expression is:

[tex]4x^2-9y^6[/tex]

It should be noted that both terms are perfect squares:

[tex](2x)^2=4x^2[/tex]

[tex](3y^3)^2=9y^6[/tex]

Since it's a difference of squares, we need to use the following pattern to factor the required expression:

[tex](U^2-V^2)=(U+V)(U-V)[/tex]

Thus, the answer is

B. (U+V)(U-V)

Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(6, 0) and line x = −6.

Answers

The equation of the graph is [tex]x = \frac 1{24}y^2[/tex]

How to determine the equation?

Generally, a point is represented as:

(x,y)

The line x = -6 means that:

(-6, y)

So, we calculate the distance between (x,y) and (-6, y) as follows:

[tex]d = \sqrt{(x + 6)^2 + (y - y)^2}[/tex]

This gives

[tex]d = \sqrt{(x + 6)^2 }[/tex]

Next, we calculate the distance between (6,0) and (x, y) as follows:

[tex]d = \sqrt{(x - 6)^2 + (y - 0)^2}[/tex]

This gives

[tex]d = \sqrt{(x - 6)^2 + y^2}[/tex]

Equate both distance expressions

[tex]\sqrt{(x + 6)^2} = \sqrt{(x - 6)^2 + y^2}[/tex]

Square both sides

[tex](x + 6)^2 = (x - 6)^2 + y^2[/tex]

Expand

[tex]x^2 + 12x + 36 = x^2 - 12x + 36 + y^2[/tex]

Evaluate the like terms

[tex]12x = - 12x + y^2[/tex]

Add 12x to both sides

[tex]y^2 = 24x[/tex]

Make x the subject.

[tex]x = \frac 1{24}y^2[/tex]

Hence, the equation of the graph is [tex]x = \frac 1{24}y^2[/tex]

Read more about line equations at:

https://brainly.com/question/7098341

#SPJ1

A tree initially measured 18 feet tall. Over the next 3 1/2 years

Answers

Answer:

5 ft/yr

Step-by-step explanation:

This is the whole question: A tree initially measured 18 ft tall. Over the next 3 1/2 years, it grew to a final height of 35 1/2 feet. During those 3 1 /2 years, what was the average yearly growth rate of the height of the tree?

The tree grew   35.5 - 18 ft = 17.5 feet in 3.5 years      

This average leads to   17.5 ft / 3.5 yr =  5 ft/yr

The question is incomplete, the complete question is;

A tree measured 18 feet tall. Over the next 3 1/2 years, it grew to final height of 35 1/2 feet. During those 3 1/2 years, what was the average yearly  growth rate of the height of the tree?

Answer:

5 feet per year

Step-by-step explanation:

Given that the initial height of the tree = 18 feet

Final height of the tree = 35.5 feet

Time interval = 3.5 years

Now;

Increase in length of tree = Final height of the tree - initial height of the tree

Increase in length of tree =  35.5 - 18 = 17.5 feet

Rate of growth of tree = increase in height of tree/ time taken

Rate of growth of tree = 17.5 feet/ 3.5 years

Rate of growth of tree = 5 feet per year

3 The lyy Hill Sunshine Club collected 524 cans for a canned food drive. The cans were then split up equally into 8 boxes. (a) Part A How many cans were in each box? Part B How many cans were left over after the boxes were filled? (b) А 65.5 cans < NEXT​

Answers

Answer:

sorry I wish I could it help you but if you have any other question let me know

solve for K and b. please :)

Answers

Answer:

k=-98

b=-7

Step-by-step explanation:

can i have brianliest :)

Give the values of the coefficients [a], [b], and [c], regarding the product in the form of ax^2-bx + xy - cy. Use "0" if the term isn't present.

Answers

Answer:

[tex]x^{2} -6x+xy-6y[/tex]

Step-by-step explanation:

Answer:

The values of coefficients a, b and c are

a=1

b=6

c=6

Step-by-step explanation:

We need to give the values of coefficients [a],[b] and [c]  regarding the product in the form of [tex]ax^2-bx + xy - cy[/tex]

The term given is: [tex](x+y)(x-6)[/tex]

First we will multiply the terms

[tex](x+y)(x-6)\\=x(x-6)+y(x-6)\\=x^2-6x+yx-6y[/tex]

Now comparing the product [tex]x^2-6x+yx-6y[/tex]  with the given form [tex]ax^2-bx + xy - cy[/tex]

The values of coefficients a, b and c are

a=1

b=6

c=6

Martina ordered a set of blue and orange pins. She received 96 pins in all. 24 of the pins were
blue. What percentage of the pins were blue?
Write your answer using a percent sign (%).

Answers

Answer:

25%

Step-by-step explanation:

This is like a part over whole problem, where 24 blue pens is the part and 96 pens total is the whole.

24/96 = 0.25 * 100 = 25%

Answer:

Of the 96 pins, 25% of the pins were blue.

Step-by-step explanation:

We are given that Martina ordered 96 pins in total. We are also given that she ordered 24 blue pins.

With this, we can determine how many of the pins were not blue pins by subtracting the amount of blue pins from the number of total pins.

[tex]96 \ \text{total pins} - 24 \ \text{blue pins} = 72 \ \text{orange pins}[/tex]

Now, we can divide the number of blue pins by the number of total pins to determine the fraction of blue pins to total pins.

[tex]\displaystyle \frac{24}{96} = \frac{12}{48} = \frac{6}{24} = \frac{3}{12} = \frac{1}{4}[/tex]

Then, we can convert our fraction to a decimal.

[tex]\displaystyle \frac{1}{4} = 0.25[/tex]

And finally, we can convert our decimal to a percentage by multiplying the determined decimal by 100.

[tex]0.25\times100 = 25\%[/tex]

Therefore, of the 96 pins that Martina ordered, 25% of them were blue.

Petra jogs 3 miles in 30 minutes at this rate how long would it take a jog 10 miles​

Answers

Answer:

100 minutes or 1 hour and 40 minutes

Step-by-step explanation:

3 miles in 30 minutes means 1 mile in 10 minutes

10 miles takes 100 minutes or 1 hour and 40 minutes.

1 hour and 40 minutes

6x = 10y - 10
x + y + 7 = 0
What is x and y?

Answers

Answer:

x=(-5)

y=(-2)

Step-by-step explanation:

Answer:

(-5, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality PropertiesSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

6x = 10y - 10

x + y + 7 = 0

Step 2: Rewrite systems

6x = 10y - 10

y = -x - 7

Step 3: Solve for x

Substitute:                              6x = 10(-x - 7) - 10Distribute 10:                          6x = -10x - 70 - 10Combine like terms:              6x = -10x - 80Add 10x to both sides:          16x = -80Divide 16 on both sides:        x = -5

Step 4: Solve for y

Define:                                   x + y + 7 = 0Substitute:                             -5 + y + 7 = 0Combine like terms:              y + 2 = 0Subtract 2 on both sides:     y = -2

And we have our answer!

Armon has a prepaid cell phone. This month he will like to purchase a $9 message package. The rate plan for the talk time is $0.10 per minute. Write an inequality for the maximum amount of talk time that Armon can purchase for his bill to stay under $45.

Pls show step-by-step! :)

Answers

Equation formula: y = mx + b
0.10 per minute is the slope
9 would be the y intercept
Equation: 0.10x + 9 < 45

What is a number that could be placed in the blank to complete this set from least to greatest?


2/5, 1/2,----,6/8

Answers

Answer:

4/10, 5/10, 6/10

I'm guessing 6/10 simplified into 3/5

2.1(0.2x-1.4)=1.3(0.4x—3.5)

Pls help.

Answers

Answer:

x=161/10 =16.100

Step-by-step explanation:

Combine Like Terms

PLEASE FOLLOW ME

Answer:

hope it helps..

Step-by-step explanation:

Simplifying

2.1(0.2x + -1.4) = 1.3(0.4x + -3.5)

Reorder the terms:

2.1(-1.4 + 0.2x) = 1.3(0.4x + -3.5)

(-1.4 * 2.1 + 0.2x * 2.1) = 1.3(0.4x + -3.5)

(-2.94 + 0.42x) = 1.3(0.4x + -3.5)

Reorder the terms:

-2.94 + 0.42x = 1.3(-3.5 + 0.4x)

-2.94 + 0.42x = (-3.5 * 1.3 + 0.4x * 1.3)

-2.94 + 0.42x = (-4.55 + 0.52x)

Solving

-2.94 + 0.42x = -4.55 + 0.52x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.52x' to each side of the equation.

-2.94 + 0.42x + -0.52x = -4.55 + 0.52x + -0.52x

Combine like terms: 0.42x + -0.52x = -0.1x

-2.94 + -0.1x = -4.55 + 0.52x + -0.52x

Combine like terms: 0.52x + -0.52x = 0.00

-2.94 + -0.1x = -4.55 + 0.00

-2.94 + -0.1x = -4.55

Add '2.94' to each side of the equation.

-2.94 + 2.94 + -0.1x = -4.55 + 2.94

Combine like terms: -2.94 + 2.94 = 0.00

0.00 + -0.1x = -4.55 + 2.94

-0.1x = -4.55 + 2.94

Combine like terms: -4.55 + 2.94 = -1.61

-0.1x = -1.61

Divide each side by '-0.1'.

x = 16.1

Simplifying

x = 16.1

please help if u can

Answers

Answer:

the function is both even and old

Step-by-step explanation:

after solving this is answer which i provided

the sum of two number is 63the smaller number is 17 less than the larger number.what are the number

Answers

Answer:

The larger number is 40, and the smaller one is 23.

Step-by-step explanation:

Let x be the larger number.

Let x - 17 be the smaller number.

x + (x - 17) = 63

2x - 17 = 63

2x = 80

x = 40

Hence, the smaller number is 40 - 17 = 23.

Hope this helped!

Answer:
x=40
y=23.

Explanation:
Let x be equal to the larger number.
Let y be equal to the smaller number.

Using the given information, we can come up with the following equations:

x+y=63
x-y=17

From here, we can use the method of elimination to find the value of x by adding the equations together. Please check the image attached!

2x=80
Divide both sides by 2 to isolate x
2x/2=80/2
x=40

Now, we can substitute x back into one of our original equations to solve for y.

x-y=17
40-y=17
Subtract both sides by 40 to isolate y
-y=17-40
-y=-23
y=23

Therefore, x=40 and y=23.

I hope this helps! Please comment if you have any questions :)

What is the value of the expression when b= -4 and C=1

Answers

Answer:

B would equal -4

Step-by-step explanation:

the sunshine Club collected 524 cans for a canned food drive. the cans were then split up equally into 8 boxes.
Part A how many can were in each box?
Part B how many can were left over after the boxes were filled?

Answers

524/8=65.5

There were 65 cans in each box.

65•8= 520
524-520=4
There were 4 cans left over

GIVING BRAINLIEST FOR WHO ANSWERS FIRST!

Answers

Answer:

its simple its C

Step-by-step explanation:

forget humanity and return to monke

Answer:

I think It might be B

Step-by-step explanation:

84 - 60

Im not sure though

five men build a wall in 10 days how long will it take 10 men​

Answers

Answer:

5 Days ....thats easy....

Hope this answer is correct ..

Have a nice day ahead

Answer:

20 days

5 x 2 = 10

10 x 2 = 20

Miguel has $25. He spends $6.75 on a movie ticket, $3.70 for snacks, and $2.00 for bus fare each way.

How much money does Miguel have left?

Miguel has $_____
left.

Answers

Answer:

$12.55

Step-by-step explanation:

25-6.75=18.25

18.25-3.70=14.55

14.55-2=12.55

Miguel has $12.55 left

Can u plz help me with the number 9?

Answers

I really think it’s B

Question 16
Mr. Twain asked the students in his class to draw the figure below using a scale factor of 3. Then, he asked students to tell him one of the new side lengths of the figure. Some student responses are below.


Student Response
Mark 5 in.
Samantha 6 in.
Divia 1.3 in.
Cheng 0.9 in.
Candice 11.7 in.
Select the student that answered Mr. Twain's question correctly.
A
Mark

B
Divia

C
Cheng

D
Candice

Answers

Answer:

C

Step-by-step explanation:

Your answer is C because got the question right when put C  .

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