2. Mr. Kim's rectangular garden is four times as long as it is wide. He is going to enlarge it

by extending cach side 7 feet.

a. Represent the length and width of the original garden using an appropriate variable.

Width:

W.4

w

Length:

b. Using the same variable, represent the perimeter of Mr. Kim's garden after it is

enlarged

Perimeter:

Answers

Answer 1

Answer:

P = 10W + 28

Step-by-step explanation:

Let L be the original length of the garden

W  be the original width of the garden

If Mr. Kim's rectangular garden is four times as long as it is wide, then L = 4W

If he is going to enlarge it  by extending each side 7 feet, then;

The new length l = (4W + 7) feet

The new width will be w =(W+7) feet

Perimeter of the rectangular gerden P = 2(l+w)

l and w are the new length and width

Substituting l = 4W+7 and w = W+7 into the formula;

P = 2(4W+7+W+7)

P = 2(5W+14)

open the parenthesis

P = 10W + 28

Hence the perimeter of Mr. Kim's garden after it is  enlarged is given by the expression P = 10W + 28


Related Questions

Lupe has 500 Mexican pesos. If 1 U.S. dollar equals 12.87333 pesos, about how many dollars can Lupe buy for her pesos?

Answers

Answer:

the answer is C. $38.84

Step-by-step explanation:

h(x)= -x^2+3x for h(-3)

Answers

i believe the answer is -18.

An environmental study of a certain community suggests that t years from now, the average level of carbon monoxide in the air will be Q(t)=0.05t^2 + 0.1t + 3.4 parts per million. By approximately how much will the carbon monoxide lvel change during the coming 6 months?

Answers

Answer:

3.4625

Step-by-step explanation:

Given the equation:

Q(t)=0.05t^2 + 0.1t + 3.4 parts per million

Where t = time in years

By approximately how much will the carbon monoxide lvel change during the coming 6 months?

t = 6 months = 6/12 = 0.5 year

Q(0.5) = 0.05(0.5)^2 + 0.1(0.5) + 3.4 parts per million

Q(0.5) = 0.05(0.25) + 0.05 + 3.4

Q(0.5) = 0.0125 + 0.05 + 3.4

Q = 3.4625

Carbon monoxide level will change by approximately 3.4625 parts per million in 6 months

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

Answers

Answer:

4

Step-by-step explanation:

f(g(x)) = 3(x-2) + 10

f(g(0)) = 3x - 6 + 10

f(g(0)) = 3(0) - 6 + 10

f(g(0)) = 0 - 6 + 10

f(g(0)) = 4




horizontal translation


reflection over the x-axis



reflection over the y-axis

Answers

Answer:

The correct option is;

Reflection over the y-axis

Step-by-step explanation:

An even function is a function that satisfies the following function equation;

f(x) = f(-x)

Therefore, for an even function, we have;

f(x) - f(-x) = 0

Which gives that the values of f(x) of the even function is the same upon reflection about the y-axis whereby the values of x changes from x to -x

Therefore, the symmetry of an even function is about the y-axis

However, an odd function is a function that satisfies the following function equation;

f(-x) = -f(x)

Therefore, reflection across the y-axis will result in an inversion of the odd function such that the odd function is not symmetrical about the y-axis as we have;

f(-x) = -f(x) ≠ f(x) which simplifies to f(x) ≠ f(-x).

what is the expression equivalent to 5(6+4)​

Answers

Answer:

2(15+10)

Step-by-step explanation:

when you multiply the integers by 5 you get 30 + 20 so you just divide them by 10.

Answer
50
How to get it
So start to add in the parenthesis 6+4 is 10
Then erase the parentheses since we got the answer but turn it into an multiplication sign
5 times 10 is 50
Hope this helped :)

PLEASE HELP
Twice a number n is at least 30

Answers

Answer: n = 15

Step-by-step explanation: 2x15 = 30

Answer:

15

Step-by-step explanation:

15 times 2 is 30. Therefore, 15 can be the correct answer!

Please mark me brainliest if I helped you! Thank you so much!

:)

11-3(a-2)=27 I NEED TO SHOW WORK HELP

Answers

Answer:

3.3 recurring

Step-by-step explanation:

1) expand bracket

11-3a+6=27

2)rearrange equation

11+6=27+3a

11+6-27=3a

17-27=3a

-10=3a

-10/3=a

a=3.3 recurring

Answer:

a= - [tex]\frac{10}{3}[/tex] or -3.33

Step-by-step explanation:

[tex]11-3(a-2)=27[/tex]

subtract 11 on both sides; 27-11=16

[tex]-3(a-2)=16[/tex]

divide both sides by -3

[tex](a-2)=-\frac{16}{3}[/tex]

add 2 on both sides

[tex]a=-\frac{16}{3} +2[/tex]

a=[tex]-\frac{10}{3}[/tex]

Factorise Fully x^2 + x

Answers

Answer:

X(x+1)

Step-by-step explanation:

If it is wrong I'm sorry.

Simplify the expression. (5x^3+4x^2+6x-3)+(-2x^3+3x^2-7x+9)-(5x+3)(4x^2+x-1)

Answers

Answer:

-17x³-10x²+x+9

Step-by-step explanation:

(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(5x+3)(4x²+x-1)

(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(20x³+5x²-5x+12x²+3x-3)

(3x³+7x²-x+6)-(20x³+17x²-2x-3)

-17x³-10x²+x+9

what is 3/5 as a percent

Answers

Answer:60%

Step-by-step explanation:

3 divided by 5 ten times by 100 and you get 60%

HELP!!! Need help with my home work!

Answers

Answer:

xy - y^2/x

Step by step explanation:

What is 3/8-2 what does it equal

Answers

Answer:

the answer would be -1 5/8 in fraction form and -1.625 in decimal form

Answer:

-13/8

Step-by-step explanation:

2 = 16/8

3/8-16/8 = -13/8

PLEASE HELP!! Need help with my homework!

Answers

Answer:

Line segment: AD (without arrow)

Ray: BA (with one sided arrow)

Rays with common endpoint: AC and AD (with one sided arrow)

Intersection: AE (double sided arrow)

Collinear points: B, A, C

PLEASE MARK AS BRAINLIEST

simplify radical 150 = ________

Answers

Hope this helps. If you don’t understand it just message me and I’ll explain it again

Brian saw 106 birds and half as many squirrels. Which of the following is a good estimation of how many more birds he saw than squirrels?

Answers

Answer:

53

Step-by-step explanation:

Sita Rahim drove due north for 3 hours at 46 miles per hour. From the
same spot, Yasmina Young drove due south for 2 hours at 43 miles per
hour. How far apart were they after their trip?

Answers

Answer:

224 miles

Step-by-step explanation:

What you would do is take the 3 hours times the 46 mph to get 138 miles.

3*46=138

Next, multiply the 2 hours by the 43 mph to get 86 miles.

2*43=86

Lastly, you're going to add the two.

138+86=224 miles.

What is the solution of 3x + y = 9 and 3x - 5y = 15?
OA 1 = 10 y = -1
B.
r = g y = 1
10
C. I = -1. y = 5
OD. x = 1, y = 2
COICO

Answers

Step-by-step explanation:

3x + y = 9

3x − 5y = 15

Solve with elimination.  Subtract the second equation from the first.

6y = -6

y = -1

Plug into either equation to find x.

3x + -1 = 9

3x = 10

x = 10/3

I NEED HELP ASAP PLEASE

Answers

Answer: d s 5\ answer

Step-by-step explanation:

What is the quotient?
5^-6
5^3

Answers

Step-by-step explanation:

1/5^(3+6)= 1/5^9

the solution

Step-by-step explanation:

1/5^(3+6)=1/5^9

the solution

Which line is perpendicular to y=7x-3 if the perpendicular line passes through the point (7, 7)? a) y=-7x-1 b) y=-7x+8 c) y=-1/7x+8 d) y=-1/7x+1

Answers

Perpendicular lines have an opposite reciprocal slope, therefore, the slope of the perpendicular line is:

-1/7

So far, y = -1/7x + b. Now we need to plug in (7, 7) into x and y for our equation.

7 = -1/7(7) + b

Simplify the right side

7 = -1 + b

Add 1 to both sides

8 = b

The equation of the perpendicular line is:

y = -1/7x + 8

Solve the inequality. 6x + 14 > 20
???????

Answers

Answer:

x > 1

Step-by-step explanation:

6x + 14 > 20

      -14    -14

6x > 6

/6    /6

x>1

MY NOTES
ASK YOU
A table of solutions for a linear equation is given below. From the table, determine the x-intercept and the y-intercept of the graph of the equation
x-intercept
(x, y) =(
y-intercept
(x, y) =
х
y
-6
0
(x, y)
(-6, 0)
(-3, 4)
(0,8)
-3
4
0
8

Answers

Yes x y 1.24 b to the point of a game that is a little hard to get x y to the point

Solve for x.
-2 (x + 1/4)+1=5
Enter your answer as a fraction in simplest form in the box.
X = ​

Answers

Answer:

[tex]x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}[/tex]


3. Ms. Reyes' class did a survey of 50 students. 20 of the students said comedies
were their favorite type of movie.
What percent of the students preferred comedies?

Answers

Answer:

40 percent

Step-by-step explanation:

Use of proportion

50 (2) = 100%

20 (2) = 40%

      do the same thing; what you do on the bottom you do on the top too

Answer:

I believe it is 40%.

Step-by-step explanation:

Quick I need help, it states what polygon is shown by the street sign

Answers

I’m pretty sure it’s just asking what shape each sign is.

One way is a rectangle
I can’t tell if the do not enter is a circle or square... maybe you can see it better
Stop is an octagon
etc...

Leora had some money in her wallet. She spent $18.62 buying groceries and had $43.55 left. How much money did she have in her wallet before she bought the groceries?
$24.93
$35.93
$45.41
$62.17

Answers

Answer:

62.17

Step-by-step explanation:

you add 18.62 to 43.55 and get 62.17.

hope this helps.

Answer:

62.17 boom

Step-by-step explanation:

9(x +3) = 4x -3 cant figure it out

Answers

Answer:

[tex]x=-6[/tex]

Step-by-step explanation:

[tex]9\left(x+3\right)=4x-3[/tex]

Expand:

[tex]9x+9\times3=4x-3[/tex]

[tex]9x+27=4x-3[/tex]

Subtract 27 from both sides:

[tex]9x+27-27=4x-3-27[/tex]

[tex]9x=4x-30[/tex]

Subtract 4x from both sides:

[tex]9x-4x=4x-30-4x[/tex]

[tex]5x=-30[/tex]

Divide both sides by 5:

[tex]\frac{5x}{5}=\frac{-30}{5}[/tex]

[tex]x=-6[/tex]

Ivan sold 51 boxes of oranges on Friday and 29 boxes on Saturday during a citrus sale. There were 10 oranges in each box. How many oranges did he sell in all??

Answers

Answer:

800 oranges

Step-by-step explanation:

51 x 10 = 510

29 x 10 = 290

510 + 290 = 800

(5x+2)/8=x/6 what value will make it true??

Answers

X should equal -6/11 if I read the equation right

Answer:

-6/11 =x

Step-by-step explanation:

We can use cross products to solve

(5x+2)/8=x/6

6 ( 5x+2) = 8x

Distribute

30x + 12 = 8x

Subtract 30x from each side

30x -30x +12 = 8x - 30x

12 = -22x

Divide each side by -22

12/-22 = -22x/-22

-6/11 =x

Other Questions
An advertising balloon shaped like a giant soda can is 15 feet tall and 7 feet wide. How many cubic feet of helium will be needed to fully inflate the balloon? 1.Explain what is happening to the movent of water?2.what happens to the size of the cell? Express the first number as a percentage of the second number. 29 pounds of recyclable trash in a barrel of 53 pounds of trash. The 29 pounds of recyclable trash is what % of the barrel of 53 pounds of trash. Why do you think the narrator has trouble remembering what happened? How does this affect believability of his story? Its from the Seventh Man Samantha was working on a Word document and the horizontal and vertical margins disappeared. Which solution will fix the problem? Close the Word document and reopen it. Click on the View Ruler button located at the top of the vertical scroll bar on the right-hand side of the screen. Double-click in the ruler area to redisplay the ruler. Click on the View Ruler button located at the top left-hand side of the screen that looks like an L. define radioactivity and write down properties of radioactive Ray's Quantitative data measures categories like color or movie genre.TrueFalse What is 4 raised to the second power What is the tallest mountain in the Appalachians, and what is its height? PLEASE HELP ALGEBRA 2!!! 5. Find the coordinates of G if F(-1,2) is the midpoint of GJ and J has coordinates (-5,9). Which statement is true about the culture in Australia and Oceania?O People have moved away from islands.O Oceans have always been a big part of life and traditions.O Traditional ways of life are no longer taught PLEASE HELP!! Which of the following computing devices would best address the needs for a CYBER SECURITY ANALYST? Help me please not good at math K is the midpoint of J and L, then find x.Given: JK = 5x - 3KL = 3x + 1 PLS HELPPPPPPPM=5N= -3Look at the problem attached Which of the following was an effect of the Boston year party The process of supplying water for crops is called What can fossils tell us about past species. Choose all that apply what is the answer to 19=-3a-5