Peter is trying to buy fencing for the perimeter of his garden. His garden is in the shape of a rectangle with a length of 2(x+6)feet and a width of 3.5x feet. How many feet of fencing will he need to buy? Write and simplify an expression to represent this situation? What properties did you use?

SHOW ALL WORK

Answers

Answer 1

Given dimensions of a rectangular garden are:

length = 2(x+6) feet

width = 3.5x feet

using the distributive property on length we get, length = 2x+12

Perimeter of a rectangle is 2(length+width)

So, P = 2(2x+12+3.5x)

Solving it we get,

P = 2(5.5x +12)   ..............adding like terms

P = [tex](2\times5.5)+(2\times12)[/tex] .............multiplying and adding

P = 11x+24

So, perimeter is 11x+24 feet. This value of fencing will be needed.


Related Questions


I WILL MARK YOU THE BRAINLIEST IF YOU ANSWER QUICKLY AND CORRECTLY
The amount of money that Mary earns varies directly with the number of hours worked. If Mary earns $320 for working 40 hours, determine the constant of variation.
A) 6
Eliminate
B) 7
C) 8
D) 9

Answers

8




Because it is most likely to be 8





If you divide $320 by 40 your answer is 8, so Mary probably earns 8 dollars an hour.

can you help me solve each compound inequality and graph it's solution? 2 and 4 please and thank you

Answers

[tex]\dfrac{k}{4}\geq1\qquad|\cdot4\\\\k\geq4\\\\\dfrac{k}{3}\leq-1\qquad|\cdot3\\\\k\leq-3\\\\k\leq-1\ or\ k\geq4[/tex]


[tex]6\leq x+6\leq11\qquad|-6\\\\0\leq x\leq5[/tex]

What is the distance between the points (−3, 5) and (−3, −6) ?



1 unit

5 units

6 units

11 units

Answers

the answer is 11 units go -5,-4 -3 -2 -1 0 1 2 3 4 5 that means its 11 units


The distance between the points (−3, 5) and (−3, −6) is 11 units.

What is distance between points?

Distance between two points is the length of the line segment that connects the two given points.

Given are two points, (−3, 5) and (−3, −6)

We know, distance between two points are

= √(x2-x1)²+(y2-y1)²

= √(-3+3)² + (-6-5)²

= √121 = 11

Hence, The distance between the points (−3, 5) and (−3, −6) is 11 units.

For more references on distance between the points, click;

https://brainly.com/question/15958176

#SPJ3

what's the answer to 56.5 × 3?

Answers

The answer is 169.5 because you multiply

which decimal represents the shaded portion
0.003
0.03
0.3
3.0

Answers

Answer: 0.03

Step-by-step explanation: I got it right

Find the slope of a mountain that descends 100 meters for every horizontal distance of 1,000 meters.

Answers

We are given: a mountain descends (getting down vertically) = 100 meter.

For getting down we would take it by a negative number so it would be -100 meter.

And every horizontal distance  = 1,000 meter.

We know formula for slope is = Change in vertical distance/ Change in Horizontal distance.

Plugging values in formula of slope above, we get

Slope = -100/1000 = -1/10 or -0.1.

Therefore, we could say the slope of a mountain is [tex]-\frac{1}{10}\ or \ -0.1.[/tex]

I don't want the answer, I just need an explanation. I don't understand what this means.

Answers

[tex]\bf \textit{volume of a cone}\\\\V=\cfrac{\pi r^2h}{3}~~\begin{cases}r=radius\\h=height\\\end{cases}\implies 3V=\pi r^2 h\implies \cfrac{3V}{\pi r^2}=h\\\\\\[-0.35em]\\\rule{34em}{0.25pt}\\\\\begin{cases}V=120\pi \\r=6\\\end{cases}\implies \cfrac{3(120\pi )}{\pi 6^2}=h\implies \cfrac{360\pi }{36\pi }=r\implies 10=r[/tex]

Ill give brainliest! if you answer this math question

Answers

- 5/6


Negative five sixths


Hope it helps ❤️

To solve

Multiply top numbers of the fractions first
[tex] - 2 \times 5 = - 10[/tex]
Then multiply the bottom
[tex] - 3 \times 4 = - 12[/tex]
Final answer is
[tex] \frac{ 10}{12} [/tex]
Add negative symbol as well

For the simplified version its
[tex] \frac{5}{6} [/tex]
Add negative symbol

a value bag of dog food is 40 Ibs. martys dog eats 1 Ib. of food per day. if the bag of dog food cost 29.99, what is the approximate cost per day.

Answers

About 1.3 pouds per day


To find this answer, you divide 29.99 by 40 and get 0.74975, which you round off to $0.75 for this question, hope it helped! <3

Solve for v in terms of s, t, an u. U=tsv

Answers

Final answer:

To solve for velocity v in the provided equation U=tsv, divide both sides by ts to isolate v, resulting in v = U / (ts).

Explanation:

Solving for v in Terms of s, t, and u:

To solve for v in terms of s, t, and u given the equation U=tsv, we can rearrange the equation to isolate v. We start by dividing both sides of the equation by ts, which results in:

v = U / (ts)

This equation shows that the velocity v can be calculated if we know the initial velocity u, the time t, and the displacement s.

Give one example of when you would make a frequency table to solve the problem

Answers

Answer:

Consider a class in which there are 40 students .There is a Mathematics test of 50 marks .Two students were absent.The Duration of test was for one and half an hour.

So Marks of students according to their roll number are 12,8,4,20,25,36,2,29,35,39,5,48,43,37,38,29,17,15,15,25,31,32,26,28,27,24,2,15,34,,50,46,48,37,28,26,45,49,24.

So in this case it would be better to prepare frequency polygon by selecting a class interval.

Class interval = 0-5,5-10,10-15,15-20,20-25,25-30,30-35,35-40,40-45,45-50.

Or 0-10,10-20,20-30,30-40,40-50.

or you can make class interval by yourself.





which graph shows the solution to the following inequality? 4d-6<18

Answers

Answer: C

Step-by-step explanation:

4d - 6 < 18

     +6   +6

4d      < 24

    [tex]\frac{4d}{4} < \frac{24}{4}[/tex]

       d < 6

Graph: ←----------------o 6

Answer:

option (c) is correct.

d < 6

On number line this is shown as attached below.

Step-by-step explanation:

Given inequality 4d - 6 < 18

We have to plot the inequality and check out of given graph which graph satisfies the Given inequality 4d - 6 < 18

Consider the given inequality 4d - 6 < 18

Add 6 both sides, we have,

4d - 6 + 6 < 18 + 6

Simplify we get,

4d < 24

Now, divide both side by 4, we have,

[tex]\frac{4d}{4}<\frac{24}{4}[/tex]

Simplify , we have,

d < 6

On number line this is shown as attached below.

Thus, option (c) is correct.

determine the tax if a flat tax of 15% is applied to an income of $400,000.

Answers

Hey there!

Let's start by simply finding 1% of $400,000.

To do this we can divide by 100, since 1% is the same thing as 1/100.

400,000 ÷ 100 = 4,000

Next, we can multiply 4,000 by 15, because 4,000 is 1% and we are looking for 15%.

4,000 x 15 = 60,000

This means the tax is $60,000.

Hope this helps!

patrick was born with 1\7 of his faults and acquired the rest during his teenage years. if he was born with 326 faults, how many does he have total?

Answers

Answer:

i think it is 2,282

Step-by-step explanation:

break it down 300 x 7 is 2,100 20 x 7 is 140 and 7 x6 is 42

addit together and you have your answer


Answer: 2282


Step-by-step explanation:

To get the answer, first we make an equation.

Lets use f for faults.

So we know that Patrick was born with 326 faults. He had 1/7 the number of faults he has now when he was born. The question is asking how many faults he has in total. Now we can set up our equation.

326 = 1/7f

326 is on the left of the equal sign because 326 is equal to 1/7 the number of faults he has now. Next, because 1/7 is 1 divided by 7, we multiply 1/7f by 7. We get 1f or f because there is only 1 f. But what we do to one side we must do to the other. So when we multiply 7 to 1/7f we also multiply 7 to 326. This is our answer:

2282 = f

13 6 1. 3x − 3 4 = 13 6 2. 3x − 3 4 + 3 4 = 13 6 + 3 4 3. 3x = 26 12 + 9 12 4. 3x = 35 12 5. ( 3 1 ) 3 1 x = 35 12 ( 3 1 ) 6. x = 105 12 In which step did Jerry make an error?

Answers

Answer:

The answer is: d) in step 5 he should have multipled both sides by 1/3.


Answer:

D

Step-by-step explanation:

(02.01)Polygon ABCD slides 4 units left and 3 units up on the coordinate plane. If the original measure of angle A was 75 degrees, what is the measure of angle A'?

Answers

75, transitions don't effect the angles of a shapes vertexes only the vertexes relative position.

Answer:

Option A. 75 Degrees

Step-by-step explanation:

The legs of a right triangle measure 5 inches and 7 inches. If theta is the angle between the 7 inch leg and the hypotenuse, sin theta = ___

Answers

Answer:

sin (θ) = 0,58

Step-by-step explanation:

The formula for sin (θ) is:

sin (θ) = (opposite side)/hypotenuse

The opposite side to the θ angle is the one that measures 5 inches, but we don’t know the measure of the hypotenuse. The Pythagoras theorem gives us the following formula:

side 1²+ side 2²= hypotenuse²

Then,

5²+7²=74

√74= 8,60 inches; this is the measure for the hypotenuse.

Replacing this value in the formula for sine:

sin (θ) = 5/8,60  = 0,58

the height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24 cubic units

Answers

Let the radius of the base be r units

Then the height will be 3r units

Volume of cylinder = pi r^2 h

24=pi r^2 × 3r

Pir^3 = 24/3

Pi r ^3 =8

r^3 = 8/pi

R = 2 / pi^1/3

Height = 6/pi^1/3


Can 15 over 240 be simplified

Answers

Answer:

yes 1/16

Step-by-step explanation:


What is the answer for (-6)(-3) can you you please walk me through it then answer. I think it’s 2 -2 -18 or 18 please help me!

Answers

yes the answer is 18

When you Multiply Two Negative numbers you will get a Positive Number When you Multiply Two Positive Numbers You get a Positive number, but when you multiply a Positive to a Negative you get a Negative Number. Hope this Helps ( The answer is 18)

If f(x) = 3x^2 – 2x + 4 and g(x) = 5x^2 + 6x – 8, find (f - g)(x).

Answers

Answer:

[tex]-2x^2-8x+12[/tex]

Step-by-step explanation:

[tex]f-g=(3x^2-2x+4)-(5x^2+6x-8)=3x^2-2x+4-5x^2-6x+8=\\ =-2x^2-8x+12[/tex]

(f-g)(x)=f(x)-g(x)

=((3x^2)-2x+4)-((5x^2)+6x-8)

=(-2x^2)-8x+12

The answer is -2x^2 -8x+12. I hope this helps.

3x3x3x3x3x3= 729? dose it equal this:729?

Answers

Yes, this does equal 729.

Yes, you are correct. Just checked the calculator. Have a nice rest of your day


It's not B or C and can you explain the work please and thanks

Answers

The temperature at the start (2:00 AM) is -6°C

It furthered decreased by 8°C

-6 - 8 = -14

(B) -14°C is your answer

~Senpai

What are the subsets of red blue and yellow

Answers

green orange and purple


Juan y Marta tienen que hacer un trabajo de 24 páginas. Juan hace 1/3 del trabajo y Marta 1/2. ¿Cuántas páginas ha hecho cada uno?

Answers

Tenemos.


Total paginas = 24

Lo que hace Marta = 24/2 = 12

Mara hace 12 paginas


Lo que hace Juan = = 24/3 = 8

Lo que hace Juan es 8 paginas


La fraccion de lo que hizo Marta

12/24 = 1/2


La fraccion de lo que hizo Juan = 8/24 = 1/3


La fraccion de lo que hicieron los 2:


1/2 + 1/3 =

3/6 + 2/6 =

(3 + 2)/6 =

5/6

Lo que hicieron los 2 es 5/6 de 24


Les queda por hacer.

1 - 5/6 =

6/6 - 5/6 =

(6 - 5)/6 =

1/6

Les falta por hacer 1/6 de 24


Las pagina que quedan por hacer son:

24 - 12 - 8 = 4

Faltan por hacer 4 paginas


Divide. 110 ÷ (−5)

A:−22

B:−5

C:5

D:22

Answers

The answer is -22. :P

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b},=-\frac{110}{5}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{110}{5}=22[/tex]

The Correct Answer Is A.−22

Hope This Helps!!!

Express the following as the difference of two squares

(7a+2)(7a-2)=

Answers

(7a+2)(7a-2)

= (7a)^2 - (2)^2

= 49a^2 - 4

Using the information in the table, how many milliliters are in 7 kiloliters?

Answers

The correct answer is 7e+6 or in other words 7000000

A patient in the emergency room is monitored for heart​ rate, oxygenation​ level, etc. The nurse notices that the heart beat averages 80 but drops to 60 beats every other minute and then spikes to 120. The cardiologists have asked the nurses to notify them if this​ happens, as that pattern is indicative of heart attacks. The nurse calls the doctor.

Is the nurse using inductive or deductive​ reasoning?

I need help on numbers 8,10, and 12

Answers

8. 40%

10. 192

12. 0.04

A rope is used to anchor a boat to the shore. The angle of depression from the boat to the water is 40° . The height of the boat above the water is 25.17 feet. What is the length of the rope that is anchoring the boat to the shore?

Answers

Final answer:

To find the length of the rope anchoring the boat to the shore, use the tangent function with the angle of depression and the height of the boat above the water.

Explanation:

To find the length of the rope anchoring the boat to the shore, we can use trigonometry. The angle of depression from the boat to the water is 40° and the height of the boat above the water is 25.17 feet. We can use the tangent function to find the length of the rope. tan(40°) = opposite/adjacent. The height of the boat above the water is the opposite side and the length of the rope is the adjacent side. So, we have:

tan(40°) = 25.17/adjacent

Solving for the adjacent side, we get:

adjacent = 25.17 / tan(40°)

Using a calculator, we can evaluate this expression to find that the length of the rope is approximately 33.95 feet.

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