CJ's garden is surrounded by a uniform width walkway . The Garden and walkway together cover an area of 320 square feet . If the dimensions of the garden are 12 feet by 16 feet determine the width of the walkway?
HELP ME!!!!!!!!!!!!!!!!!PLEASE!!!!!!!!!!!!!

Answers

Answer 1

Answer:

the answer is 2ft

Step-by-step explanation:

I hope its right

Answer 2

Answer:

the walkway is 2 feet wide

Step-by-step explanation:

x=walkway width

(12+2x)(16+2x)=320

192+24x+32x+4x^2=320

simplify

4x^2+56x+192=320

4x^2+56x-128=0

divide by 4

x^2+14x-32=0

factor

(x+16)(x-2)=0

x=-16

x=2


Related Questions

14) What is the vertex form y = 3x2 - 12x + 17?
A) y = 3(x - 2)2 +5
B) y = 3(x - 2)2 + 17
C) y = 3(x - 2)2 + 11
D) y = 3(x + 2)2 + 5
I

Answers

Answer:

the vertex is 14yx

Step-by-step explanation:

This recipe makes 18 shortbread fingers.
Rose follows this recipe, but only wants to make 3 fingers.
How much of each ingredient does she need?

Recipe: Makes 18
120 g butter
60 g sugar
180 g flour

Answers

(I don't know if this is the method you are supposed to use, but I believe you will still get the same answer!)

Answer: 20 g butter, 10 g sugar, 30 g flour

Step-by-step explanation: First off, if we look at 3 and 18, you notice that three is a factor or 18, going into the number 6 times.

So, if you are making 6 times less of the original amount, divide each measurement by six to give you your answer.

120/6 = 20

60/6 = 10

180/6 = 30

20g butter
10g sugar
30g flour

Pleaseeeeeeeee answer if you do your the best at life!!!!!

Answers

x+(-8)= -12

x-8= -12

x= -12+8

x=-4

-3 + x = 10

x=10+3

x=13

-2+x= -5

x=-5+2

x=-3

Answer:

x+(-8)= -12

x-8= -12

x= -12+8

x=-4

-3 + x = 10

x=10+3

x=13

-2+x= -5

x=-5+2

x=-3

Step-by-step explanation:

Evaluate the following expression. Round to the nearest hundredth when necessary.

6³ - 18

Answers

Answer:

198

Step-by-step explanation:

Because 6 to the power of three is 6 x 6 x 6 = 216 - 18 = 198

Questions are in the picture need ASAP 14 points :)

Answers

Answer:

x = k + 7

x = k + 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

If we are solving for x here are the answers;

x=k+7

x=k+3

If we are solving for k here are the answers;

k=x-7

k=x+3

If the coordinates of a pre-image are (x, y), which motion rule represents a counterclockwise rotation of 90° about the origin?

Answers

Answer:

What is the angle of rotation for this counterclockwise rotation about the origin?

answer:

270°

Step-by-step explanation:

Which statement explains the relationship between corresponding terms in the table?

Answers

Answer:

Each term in Pattern X is 1/3 of the corresponding term in Pattern Y.

Step-by-step explanation:

I got it right:D

Hence in corresponding figure  option b is correct.

What is series?

a series is sequence in which numbers are arranged which follow a particular pattern.

How to solve?

Given table where x1-5 with corresponding value 15= 3x ,

x2-10 with corresponding value 3- =3x

and so on

Hence we can say every value of x is 1/3 times to corresponding value of y

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Last year, there were 217 pies baked for the bake sale. This year, there were d pies baked. Using d, write an expression for the total number of pies
baked in the two years.

Answers

217+d is the answer _________

Please hurry; The number of bacteria in a culture grows exponentially. It can be modeled with the function f(x) = 20 (2^x).

How many more bacteria will there be after six hours?

a 12
b 32
c 960
d 1280

Answers

Answer:

D.

Step-by-step explanation:

20(2^6) = 1280

Choose the correct simplification of (7x^3 – 4x - 8) + (2x^3 + 3x + 2).​

Answers

Answer:

9[tex]x^{3}[/tex]-x-6

Step-by-step explanation:

Answer:

=9x3−x−6

Step-by-step explanation:

7x3−4x−8+2x3+3x+2

In art class,Oren class or make flowers out of button or has 16 buttons and he uses 6 buttons to make each flower he makes as many flowers as he can.how many flowers does Oren make?how many buttons are left?

Answers

Answer:

2 with 4 left over

Step-by-step explanation:

This table shows the number of marbles in a bag by color. If one marble is randomly selected from the bag, what is the
probability that it will be a blue or a red marble?

Answers

Answer:

I would say it would be in the middle

Step-by-step explanation:

Answer: the answer would be 52% :)

Step-by-step explanation:

A submarine descended 3/4 of a kilometer in 1/4 of an hour. What was the submarine's rate of descent?

Answers

(3/4 km)/(1/4 hour) = (3 km)/hour

In which region are the patient counts most similiar

Answers

Is there a picture? I would love nothing more than to help but there is no data provided :(

what wasbthe high temperature bon the 6th day of the trip

Answers

gorilla balls and also butt

If q is a rational number and r is a real number,
then q + r is

Answers

Answer:

(D)

Step-by-step explanation:

~a rational number....I hope it helps

HELP ASAP!!! Identify the interior angles and explain how you know. THANKS!!

Answers

Answer:

interior angles are /_3,/_4,/_5 and /_6


Helpppppp meeeeeeeeee

Answers

Answer:

The temperature needs to rise 1.5 degree C to reach 0 degree C.

Step-by-step explanation:

-1.5+1.5=0

1.5 not that hard but hope it helps

5 tenths - 2 tenths = 3 tenths in standard form

Answers

Answer:

5×10-2×10=3×10

50-20=30i think

The principal at a school recorded the color and make of all vehicles in the student parking lot. From the data, the following probability model was created about the colors of the vehicles.
A 2-column table with 4 rows. Column 1 is labeled outcome with entries red, black, white, other. Column 2 is labeled probability with entries 0.28, 0.30, 0.22, 0.20.
Which pairs of events about a vehicle are mutually exclusive? Check all that apply.
The events red and black
The events white and two door
The events white and other
The events black and truck
The events red and other

Answers

Answer:

1, 3, 5

Step-by-step explanation:

EDG 2020-2021 Stats

The events ,The events red and black ,The events white and other, The events red and other are mutually exclusive.

What is probability?

The probability is defined as the chances of happening any event. Mutually exclusive events are those in which the one event is independent of the other event.

The condition for the mutually exclusive event will be:

[tex]P(A|B)=\dfrac{P(A) \ and P(B)}{P(A)}=P(A)[/tex]

We have the data

red,    0.28

black,  0.30

white,  0.22

other   0.20

Here we will check the mutually exclusive event:-

(1)The events red and black

[tex]P(R|B)=\dfrac{P(R\ and\ B)}{P(B)}[/tex]

[tex]P(R|B)=\dfrac{0.28\times 0.30}{0.30}=0.28 =P(R)[/tex]

Hence the event is exclusive.

(2)The events white and other

[tex]P(W|O)=\dfrac{P(W\ and\ O)}{P(O)}=P(W)[/tex]

[tex]P(W|O)=\dfrac{ 0.22\times 0.20}{0.20}=0.22=P(W)[/tex]

Hence the event is exclusive.

(3) The events red and other

[tex]P(R|O)=\dfrac{P(R\ and\ O)}{P(O)}=P(R)[/tex]

[tex]P(R|O)=\dfrac{ 0.28\times 0.20}{0.20}=0.28=P(R)[/tex]

Hence the event is exclusive.

Hence the events ,The events red and black ,The events white and other, The events red and other are mutually exclusive.

To know more about probability follow

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Find the value of x.
A. 2
B. 12
C. 10
D. 4

Answers

Answer:

c

Step-by-step explanation:

because the total has to be 180 so if u has 30 then u need 150 to make 180

Answer:

c maybe

Step-by-step explanation:

you need 1661.06 ft squared of carpet to completely cover the floor or a round room. what is the diameter of the room.

Answers

Answer:

46 ft

Step-by-step explanation:

A = π×d²/4

d² = √4×A /π

= √4×1611.06 / 3.14

=√ 2116

= 46 ft

Answer:

46 feet squared

Step-by-step explanation:

A = π×d²/4

d² = √(4×A /π)

= √(4×1611.06 / 3.14)

= 2116

= 46 ft squared

If a number is decreased by 8, the result is -21. What is the
number?
Need solution and equation !!

Answers

Answer:

answer = -13

Step-by-step explanation:

number = x

x - 8 = -21

x = -21 + 8

  = -13

Recheck :

num = - 13

decreased by 8 = - 13 -8 = -21

Pls help extra points and mark brainlist

Answers

Answer:

(12)3=36

Step-by-step explanation:

i don't know.. I think this is what the question is trying to say XD

Answer:

(12)3=36

Step-by-step explanation:

What is the x-coordinate of the point where the lines x=4y−8 and 12x+y=11 intersect?

Answers

I like to work with the slope-intercept form of the line:

x=4y-8 �> y = (1/4)x + 2 (1)

12x+y=11 �> y = -12x + 11 (2)

At the point where they intersect the two y values must be equal, so set eq(1) = eq(2):

(1/4)x + 2 = -12x + 11

( (1/4) + (48/4))x = 9

(49/4)x = 9

Ans: x = 36/49

Check: Plug in x=36/49 to eq(1) and eq(2) to make sure they produce identical y values:

(1) y = (1/4)(36/49) + 2 = (9/49) + (98/49) = 107/49

(2) y = -12(36/49) + 11 = (-432/49) + (539/49) = 107/49 (they match)

By using substitution method,

The x-coordinate of the point where the lines x=4y−8 and 12x+y=11 intersect is  [tex]\frac{36}{49}[/tex].

What is substitution method?

"The substitution method is one of the algebraic methods to solve linear equations. It involves substituting the value of any one of the variables from one equation to the other equation."

We have the lines

x=4y−8 ..........................(1)

12x+y=11 .........................(2)

By using substitution method

Substitute x = 4y - 8 in equation (2)

⇒ 12(4y-8) + y = 11

⇒ 48y - 96 + y = 11

⇒ 49y = 11 + 96

⇒ y = [tex]\frac{107}{49}[/tex]

Calculating the x - coordinate by substituting y value in equation (1)

x=4y−8

⇒ x = [tex]4(\frac{107}{49} )-8[/tex]

⇒ x = [tex]\frac{428-392}{49}[/tex]

⇒ x = [tex]\frac{36}{49}[/tex]

Hence, the x-coordinate of the point where the lines x=4y−8 and 12x+y=11 intersect is  [tex]\frac{36}{49}[/tex].

Learn more about substitution method here

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What is the GCF of 48mn and 81m?n??
О Зmn
О Зmn
О. 48men
О 129m52

Answers

Answer:

3m2n is the answer this answer but I dotnsee its s an option

Use distributive property to solve the problem
3 (9 - 10a) - 3a

Answers

Answer:

27- 1 = 26

Step-by-step explanation:

EASY ANSWER PLEASE WANT BRAINLEIST SURE JUST ANSWER!

Answers

Answer:

can i have brainliest i answered in the question spot

Step-by-step explanation

Explain answer !

( Will give brainlst)

Answers

Pi = 3.142...
1/4 = 0.25
Root 3 = 1.732...
So smallest to biggest: 1/4, root 3, Pi
pie is equal to 3.14, 1/4 is equal to .25, and the square root of 3 is 1.7321

so from least to greatest it would be ordered,

1/4, square root of 3, and pie.

Sarah has two quarters in her pocket, one from Florida and one from Georgia. She randomly pulls one quarter from her pocket, looks at it, and puts it back. Then she does this a second time. What is the probability that Sarah will select the Florida state quarter both times?

Answers

Answer:

50%.

Step-by-step explanation:

there are two quarters.

    1               1

quarter    quarter

she has an equal chance of pulling out either of them, because (quote) it's random.

50/50

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