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

REAL LIFE A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. Abo
azardous waste can the container hold? Round your answer to the nearest whole number. (1 ft 7.5 gal)

Answers

Answer:

It can hold up to [tex]1.256ft^3[/tex] of waste

Step-by-step explanation:

Given

[tex]D = 1.5ft[/tex] -- Diameter

[tex]h = 1.6ft[/tex] -- height

Required

Determine the amount of waste it can hold

This simply means that we calculate the volume of the cylindrical container.

And this is calculated using:

[tex]Volume = \pi r^2h[/tex]

Where

[tex]\pi = 3.14[/tex]

and

[tex]r = \frac{D}{2}[/tex]

[tex]r = \frac{1.5}{2}[/tex]

[tex]r = 0.75[/tex]

So, we have:

[tex]Volume = 3.14 * 0.5^2 * 1.6[/tex]

[tex]Volume = 1.256ft^3[/tex]

Hence, it can hold up to [tex]1.256ft^3[/tex] of waste

The amount of waste a cylinder can hold nearest to the whole number is 3 cubic feet.

What is a cylinder?

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet.

The amount of waste a cylinder can hold will be given by the volume of the cylinder.

The volume of the cylinder will be

[tex]\rm Volume = \dfrac{\pi}{4} d^2 h[/tex]

We have

d = 1.5 ft

h = 1.6 ft

Then

[tex]\rm Volume = \dfrac{\pi}{4} * 1.5^2 * 1.6\\\\\rm Volume = \dfrac{\pi}{4} *2.25 * 1.6\\\\\rm Volume = 2.82 \approx 3 \ ft^3[/tex]

More about the cylinder link is given below.

https://brainly.com/question/3692256

How many fifths are there in
2 1/5

a. 11 b. 10 c. 9 d. 8​

Answers

Answer:

in 2 there are 10 fifths 10 fifths + 1 fifth = 11 fifths.

Answer:

A- 11

Step-by-step explanation:

Number = 2 1/5 = 11 / 5

Fifths = 1/5

Answer = 11/5 ÷ 1/5 = 11/5 x 5/1 =11

I hope im right!!

what is 1/9+3/5= what is the fraction

Answers

31/45


Hope this helps!!!!!

Answer:

32/45

Step-by-step explanation:

Simplify fully

8n

10n

Answers

Answer:

The answer is 4/5

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

Brainly, please?

Answer: 4/5

Step-by-step explanation: 8n/10n

8/10

4/5

solve for f(-1), f(x)=-3+3, f(-1)=?

Answers

Answer:

0

Step-by-step explanation:

What is the area of a square with side lengths of 3/5 units?

Answers

To find the area of a square, multiply the side length by itself, also known as sqaring the side length.We must solve 3/5 x 3/5.3/5 x 3/5 = 0.36The units we'll use is because units are the unt we're given, and it is squared because it is the area of a shape.

To find the area of a square, multiply the side length by itself, also known as sqaring the side length.We must solve 3/5 x 3/5.3/5 x 3/5 = 0.36The units we'll use is because units are the unt we're given, and it is squared because it is the area of a shape.Your final answer is 0.36 .

HOPE THIS HELPS!

#CARRYONLEARNING

Plsssss help plssss ASAP plssss I beg u plsssssssssssssssssssss it’s so hard :((((
Which situation is a true statement about payment options?

CLEAR CHECK

A) An advantage of online banking is that you do not need to keep detailed records when paying bills.

B) Paying with a credit card means the amount you spend will be deducted from your checking account.

C) Keeping track of your debit card transactions will help avoid charges resulting from insufficient funds.

D) To avoid paying interest on your credit card purchases, pay only part of your balance each month.

Answers

Answer:

c

Step-by-step explanation:

Find sin (E) given the triangle.
Someone pls help me wit this I’m so confused

Answers

Answer: 75.75°

Step-by-step explanation:

Sine is the opposite of the angle divided by the hypotenuse. The opposite side of the angle is 12.6 and the hypotenuse is 13.

sin(Ф) = 12.6/13

Take the inverse sine of both sides, this requires a calculator.

Ф = 75.75°

1 Which size Yogli Mogli which yogurt size gives you the best price per ounce?
Small 5 oz. cup for $2.50

Medium 10 oz cup for $3.49

Large 15 oz. cup for $5.99

Super Size 24 oz. cup for $6.59
a. Small
b. Medium
c. Large
d. Super Size
Plz respond quickly for the best answer

Answers

Super size gives you the best price per ounce

The quantities x and y are proportional. Find the constant of proportionality, and write the equation relating the two variables (y = rx) HURRY PLEASE!!

X1 Y1
3 15
5 25
7 35

Answers

7277272727 hvsbdbn 8672

Anthony spent $10.24 on his lunch while Margo spent $8.96 on her lunch. Anthony paid with a twenty dollar bill and gave a $2.00 tip. How much did Anthony have left from his twenty dollar bill? A. $0.80 B. $7.76 C. $9.76 D. $12.24

Answers

Answer:

$7.96

Step-by-step explanation:

20 - 10.24 = 9.96 - 2 = $7.96

the home plate in baseball which is a Pentagon has three right angle. the other two angles are equal. find the measure of each missing angle.​

Answers

Answer:

Missing angle = 135°

Step-by-step explanation:

Given:

Pentagon shape

Number of right angle = 3

Remain two angles are equal

Computation:

Sum of Pentagon angles = 540°

So,

90 + 90 + 90 + a +a = 540

270 + 2a = 540

a = 135°

Missing angle = 135°

I need help with this

Answers

Answer:

what is your cam qlty

Step-by-step explanation:

Answer:

22ft^2

132 ft^3

Step-by-step explanation:

Find the x and y intercepts Y-2xy+4x=1

Answers

Answer:

[tex]x = \frac{1}{4}[/tex]

[tex]y= 1[/tex]

Step-by-step explanation:

Given

[tex]y - 2xy + 4x = 1[/tex]

Solving (a) The x intercept

Let y = 0

[tex]y - 2xy + 4x = 1[/tex]

[tex]0 - 2x*0 + 4x = 1[/tex]

[tex]0 - 0 + 4 x = 1[/tex]

[tex]4x = 1[/tex]

Divide both sides by 4

[tex]x = \frac{1}{4}[/tex]

Let x = 0

[tex]y - 2xy + 4x = 1[/tex]

[tex]y - 2y * 0 + 4*0 = 1[/tex]

[tex]y - 0 + 0 = 1\\[/tex]

[tex]y= 1[/tex]

During a bike challenge riders have to collect various colored ribbons each half mile they collect a red ribbon each “eighth of a mile they collect a green ribbon and each quarter of a mile they collect your blue ribbon which colors of ribbons will be collected at the three-quarter mile markerDo you know during a bike challenge writers have to collect furious colored ribbons each half mile they collect a red ribbon each eighth of a mile they collect the green ribbon and each quarter of a mile they collect a blue ribbon which colors of ribbons will be collected at the 3/4 mile markerBrian is driving 324 miles to visit some friends he wants to get there in six hours how many miles does he need to drive each hour

Answers

Step-by-step explanation:

ijsjnsns

jjwjwjwjhehwhwjwjwnwjwjwhhwhw

What is 96 divided by 7 please help is is due by midnight

Answers

Answer:

13.7 (nearest tenth)

Step-by-step explanation:

13.7142857143 is the full answer

96 divided by 7 equals 13.7142

It’s given that Y bisects XZ

-So I just really need the answers for the blanks. If you don’t know the answer that’s fine :)!

Answers

XY≅YZ ; definition of segment bisector

Reflexive Property

XWY ; ZWY ; SAS

CPCTC

I'm pretty sure this is right!!

Multiply.
(2x + 4)(2x-4)
A. 4x2 + 16
B. 4x2 - 16
C. 4x2 + 16x-16
D. 4x2 - 16x-16

Answers

Answer:

B 4x^2-16

Step-by-step explanation:

The answer is 4x^2-16

Answer:

4x^2-16

hope it's helpful ❤❤❤❤

THANK YOU.

2x + 3x + 5 =

I need the answer asap​

Answers

in simplified form it is 5x+5

someone please pass the answers to this

Answers

Answer/Step-by-step explanation:

1. The figure is composed of a triangle and a rectangle.

Area of the triangle = ½*base*height

base = 4 ft

height = 12 - 8 = 4ft

Area of triangle = ½*4*4 = 8 ft²

Area of rectangle = length * width

Length = 8 ft

Width = 4 ft

Area of rectangle = 8*4 = 32 ft²

✔️Area of the figure = 8 + 32 = 40 ft²

2. The figure is composed of a semicircle and a triangle

Area of the semicircle = ½(πr²)

radius (r) = 3 cm

π = 3

Area = ½(3*3²) = 13.5 cm²

Area of triangle = ½*base*height

base = 3*2 = 6 cm

height = 6 cm

Area = ½*6*6 = 6 cm²

✔️Area of the figure = 13.5 + 6 = 19.5 cm²

20 pounds of beans are distributed equally into 16 bags to give out at the food bank how many pounds of beans are in each bag​

Answers

The answer is 1.25 because 20%16 is 1.25 and each bag is equal therefore it is 1.25

Brainliest for good answers.

Answers

13) C
14) D (you would change it to -1/5y=3/5x +1)
15) A

Jessie spent $10 on 3 hair accessories. Which
point represents this relationship?

Answers

Answer:

A

Step-by-step explanation:

(x, y) = (3, 10) . . . . Point A

answer:a is the answer i’m pretty sure sorry if i’m not correct

the ratio of the number of girls to the number of boys in a school is 9:10. There are 900 boys in the school.
Work out the total number of students in the school

Answers

Answer:

1710 students.

Step-by-step explanation:

=>900/10=90

=>90x9=810 (girls)

=>810+900=1710 students in total

Hope this helps! ;)

40 POINTS + BRAINLIEST!!!!
Find the length of the base of the following pyramid, given the height of the pyramid is 71 meters and the angle of elevation of the base of the pyramid is 42°. Round to the nearest whole number.

127 meters
158 meters
191 meters
212 meters

Answers

tan (42°) = height / base

base = height / tan(42°)

base = 71/tan(42°)

base = 78.85 m

Now length of the base pyramid = 2× length of the base of the right triangle

= 2 ×78.85

= 157.7 ≈ 158 m

Option B

The length of the base of the following pyramid when the height, angle of elevation is given so it is 158 meters.

Calculation of the length of the base:

Since

The height of the pyramid is 71 meters and the angle of elevation of the base of the pyramid is 42°.

So,

[tex]tan (42) = height \div base\\\\base = height \div tan (42)\\\\base = 71\div tan\ (42)\\\\[/tex]

base = 78.85 m

Now

length of the base pyramid = 2× length of the base of the right triangle

= 2 ×78.85

= 157.7

≈ 158 m

Hence, The length of the base of the following pyramid when the height, angle of elevation is given so it is 158 meters.

Learn more about length here: https://brainly.com/question/1797077

the diameter of a circle is 7 m. find its area and perimeter.Answer fast!!!!!

Answers

Answer:

Area≈38.48m²

perimeter≈43.98

The Area is 38.48 and the Perimeter is 21.99

simplify the expression :
1.7h - 8.9 + 3

Answers

Answer:

1.7h - 5.9

Step-by-step explanation:

Combine the like terms -8.9 and 3 to get -5.9. Since it's negative, you subtract.

1.7h - 8.9 + 3 = 1.7h (-8.9 + 3) = 1.7h + 5.9

Micah jogged 8/10 of a mile. Sarah jogged 3 times this distance. How far did Sarah jog? Explain

Answers

Answer:

2.4 miles or 12/5 miles

Step-by-step explanation:

well if we take the amount Micah jogged (8/10 miles) and we multiply that by 3 in order to get Sarah's distance

it leaves us with

24/10 and that simplified will be

12/5 miles

in decimals that would be

2.4 miles

Write 0.0004891 in scientific notation.

Answers

Answer:

4.891×10^-4

Step-by-step explanation:

..................

4.891x10^-4 because it is


A doctor told a patient to drink 1.6 liters of water every day. About how many liters should the patient drink in 14 days?

Answers

Answer:

22.4

Step-by-step explanation:

hope it helps

Answer:

The correct answer is 22

Step-by-step explanation:

22.4 to the nearest whole number would be 22.

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