A rectangular park 40 yards wide was redesigned, and a path 1
yard wide was built around it. How long was the park before if,
after the path was built, its area became 4200 square yards?

Answers

Answer 1

The answer is 98 yards.

Step-by-step explanation:

The new width is 40 yds + 2 yds = 42 yds.

Area = L × W

4200 square yds = L × 42 yds

L = 4200 yds ÷ 42 yds = 100 yds

The new length is 100 yds.

The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.

Hope that helped!

Answer 2

The answer is 98 yards.

Step-by-step explanation:

The new width is 40 yds + 2 yds = 42 yds.

Area = L × W

4200 square yds = L × 42 yds

L = 4200 yds ÷ 42 yds = 100 yds

The new length is 100 yds.

The old length = the new length - the width of the path × 2 = 100 yds - 1 yd × 2 = 100 yds - 2 yds = 98 yds.


Related Questions

A phone company advertises a new plan in which the customer pays a fixed amount of $30 per month for unlimited calls in the country and $0.10 per minute for international calls . Write an equation for the monthly payment a customer pays according to the new plan . Use y for monthly payment , and x for international minutes.

{Type the equation in the form y=ax+b without using any spaces. Write the decimals in the form 0.00}

Answers

Answer:

30+.10x

Step-by-step explanation:

Answer:

30+.10x

Step-by-step explanation:

please help 40 POINTS

Answers

Answer:

To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.

Fraction: 9/10 already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:

9 = 32;

10 = 2 × 5;

gcf (32; 2 × 5) = 1;

Fraction: - 3/4 already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:

3 is a prime number;

4 = 22;

gcf (3; 22) = 1;

LCM (10; 4) = 22 × 5 = 20

3/20 is the answer.........

its 6 over 40 and the simplest form is 3 over 20

How to write this standard form?

2y=-3x+5

Answers

Answer:

3x + 2y - 5 = 0

Step-by-step explanation:

Standard form: ax + by + c = 0

2y = -3x + 5

+3x - 5 to both sides

2y + 3x - 5 = 0

Change order.

3x + 2y - 5 = 0

Answer:

Which standard form?

Step-by-step explanation:

A bottle contains 30 ounces of grape juice.

How many cups of grape juice does the bottle contain?

Enter your answer as a decimal in the box.

Answers

Answer:

3.75 cups

Step-by-step explanation:

30/8=3.75

3.75 cups enter your explanation here

a batch of trail mix has nuts to raisins at the rate shown on the graph
12
11
10
9
8
7
6
5
4
3 · ← dot
2
1
0 2 4 6 8 10 12 14 16 18 20 22 24
nuts (oz)
its on 3 to the 6 but for some reason it wont do that sorry loves <3
the best way i could put it ok? please help loves i would be so grateful <3

Answers

What's the question?

he;lp The formula for the area of a circle is A = πr2, where A = area and r = radius.

The length of the radius of a circle with an area of 100 yards is
yards.
10π
5
10

Answers

The length of the radius of the circle is 10π. Option A

How to determine the value

The formula for calculating the area of a circle is expressed with the equation;

Area, A = πr²

Given that;

A is the area of the circleπ takes the value 3.14r is the radius of the circle

Now, substitute the values, we get

100 = πr²

Now, divide both sides by the coefficient of r²

100/π = r²

Find the square root of both sides

r = 10π

Hence, the value is 10π

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use implicit differentation to determine dy/dx for the equation

Answers

Click on the pic for answer:

2+3x=-4(5+2x) solve for x, help please

Answers

X = -2 and for a little help use Photo-math for youre answers! Works great!

Solve 4 ⋅ (−6). write the anserw in the comments please

Answers

Answer:

-24

Step-by-step explanation:

Answer:

-24   =  minus 24

Step-by-step explanation:

when we multiply negative by a positive or a positive by a negative they both = each other, but in doing so as one out of two numbers in question is a negative the answer is also negative.

4 x -6 = -24

-6 x 4 = -24

Which digit is in the tenths place?

314.902


4
4

0
0

9
9

1
1

Answers

Answer:

0

Step-by-step explanation:

the tenths place is the second decimal

Answer:

9

Step-by-step explanation:

The first place after the decimal is the the tenths place, so whichever digit is first after the decimal is in the tenth place.

After Pedro had breakfast, he went for a run. Identify at least three energy transformations that had to take place to allow Pedro to complete his run. Then use evidence to support the claim that energy in this system was conserved as it was transformed.
Body temp while eating = 37*c After Running = 40*c

Answers

Answer:

1) Chemical to Mechanical Conversion (calories to muscle contractions)

2) (muscle into motion) Mechanical to Mechanical

3) Mechanical to Thermal (motion induces perspiration because the body heats up).

Chemically, potential energy is stored in the body, potential energy is created by food. When the body is moving, the stored potential energy is released.

100 POINTS!!! Identify this prism and describe it using the following vocabulary terms: base, edge, face, and vertex.

Answers

Answer:

This is a triangular prism. This is because prisms are identified by the shape of their base. The base of this prism is a triangle. This prism has 5 faces, 9 edges, and 6 vertices.

Step-by-step explanation:

This is a triangular prism. This is because prisms are identified by the shape of their base. The base of this prism is a triangle. This prism has 5 faces, 9 edges, and 6 vertices.

A right circular cylindrical tin of baking powder is 4 inches tall. The radius of the base is 1 inch. What is the surface area of the tin, in terms of pi? SA =
π in.2

Answers

Answer:

SA = 10[tex]\pi[/tex] in²

Step-by-step explanation:

Formula to find the surface area of a cylinder is,

[tex]2\pi r(r+h)[/tex]

Given that,

[tex]r = 1 \\h=4[/tex]

Let,s solve now

[tex]2\pi r(r+h)\\2\pi *1(1+4)\\2\pi (5)\\(10\pi) in^{2}[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Please help me ASAP


*please don’t post links they don’t work*

Answers

I can’t see the entire image if I see the full image I can help you
I can’t see the the full screen but this is what I think the answer is

Hope pays $126 for 6 theater tickets.


How much would 14 theater tickets cost?

a. $252

b. $280

c. $294

d. $756

Answers

Answer:

294 dollars

Step-by-step explanation:

find out how much 1 ticket cost by driving 6 from 126

then take that answer and multiply it times 14 and that's your answer

Answer:

$126/6 = 21

$21 x 14 = $294

so its C

plz mark me brainliest . I hope its helpful.

Use the point and the slope to graph each line. Write the equation of the line. The line contains point (2, –2) and is perpendicular to a line with slope –1.

Answers

Answer:

y = x - 4

Step-by-Step Explanation:

Perpendicular lines have slopes that are negative reciprocals—multiplying their slopes result in -1.

Given the slope of a line m = -1, then it means that the slope of the other line must be 1 (because multiplying the slope of line 1  (m1 = -1), and the slope of the other line (m2 = 1) results in: -1 × 1 = -1).

Therefore, given the slope of line 2 (m2 = 1), and the point (2, -2), we could plug these values into the slope-intercept form and solve for the y-intercept (b):

y = mx + b

-2 = 1(2) + b

-2 = 2 + b

Subtract 2 from both sides to solve for b:

-2 - 2 = 2 - 2 + b

-4 = b

Therefore, the y-intercept (b) = -4.

Hence, the equation of the perpendicular line is: y = x - 4

Please mark my answers as the Brainliest if you find my explanation helpful :)

The answer is Y=x-4 hope this helps

Create the equation for the line in the graph. (Press edit background to see it better)
giving brainiest

Answers

Answer:

y = 1/2x+1

Step-by-step explanation:

y = 0.5

explanation: y/x (1/2) = 0.5

How do i solve this? Please give me step by step explanation.

Answers

Answer:1.5

Step-by-step explanation:

12.6j + 8 = 10.2j +4.4

2.4j=3.6

j=3.6/2.4= 1.5

12.6j + 8 = 10.2j + 4.4

Subtract 10.2j from 12.6j

2.4j + 8 = 4.4

Subtract 8 from 4.4

2.4j = -3.6

Divide by 2.4

j = -1.5

find x I guess. (I don't know what to say)

Answers

Answer:

x = 28

Step-by-step explanation:

1. ∠AOD and ∠COB are equivalent because they're vertical angles (opposite pair of angles that are formed from the intersection of two lines). That means that 3x + x + x + 12 = 152.

2. (Solving 3x + x + x + 12 = 152)

Step 1: Simplify both sides of the equation.

[tex](3x+x+x)+(12)=152[/tex] [tex]5x + 12 = 152[/tex]

Step 2: Subtract 12 from both sides.

[tex]5x + 12 - 12 = 152 - 12[/tex] [tex]5x = 140[/tex]  

Step 3: Divide both sides by 5.

[tex]\frac{5x}{5} = \frac{140}{5}[/tex] [tex]x = 28[/tex]

Step 4: Check if solution is correct.

[tex]3(28)+(28)+(28)+12 = 152[/tex] [tex]84 + 28 + 28 + 12 = 152[/tex] [tex]112 + 28 + 12 = 152[/tex] [tex]140 + 12 = 152[/tex] [tex]152 = 152[/tex]

Therefore, x = 28.

Answer:

x = 28

Step-by-step explanation:

Based on the vertical angles theorem, ∠AOD ≅ ∠COB.

• ∡AOD = 152°

• ∡COB = 3x + x + x + 12

To find the value of x, set up the equation that can be formed from the given information:

3x + x + x + 12 = 152      First, combine like terms.

5x + 12 = 152                 Subtract 12 from both sides to isolate the variable.

5x = 140                         Divide both sides by 5 to find the value of x.

x = 28  

The value of x is 28°.

Roxie is a show dog her trainer wants her to have a beautiful and brilliant coat. The veterinarian suggested a special diet for the trainer to follow each feeding Roxie eats 2/3 of a can of wet dog foods 1/8 of a bag of dry food and 3/5 a patty of special meat the special meat comes in a package of 6 patties Roxie has two meals a day

Answers

Answer:  the answers are below

Step-by-step explanation:

1 meal = 2/3 of a can of wet dog food, 1/8 of a bag of dry dog food, and 3/5 a patty of special meat

Food for 1 day: 2 meals = 2(2/3) = 4/3 of a can of wet dog food, 2(1/8) = 1/4 of a bag of dry dog food, and 2(3/5) = 6/5 a patty of special meat

The trainer goes to the store and buys 24 cans of wet food, 4 bags of dry food and 3 packages of meat (3*6 = 18 patties)

He has:

there is wet food for: 24/(4/3) = 24*3/4 = 18 days

there is dry food for: 4/(1/4) = 4*4 = 16 days

there is special meat food for: 18/(6/5) = 18*5/6 = 15 days

since the minimum for 15, 16 and 18 is 15 the dog will have food for 15 days and first he will run out of special meat.

1. Roxie will be fed for 15 days before the trainer needs to buy more food.

2. The trainer will run out of the special meat first, as it will last for 15 days.

3. After the special meat runs out, there will be 3 cans of wet food and 1 bag of dry food left.

4. The trainer needs to buy 96 more cans of wet food, 19 more bags of dry food, and 36 more patties of special meat to last 90 days.

5. The minimum amount of food the trainer could buy is 80 cans of wet food, 15 bags of dry food, and 72 patties of special meat, which would last for 60 meals (30 days).

Step 1: Calculate the daily consumption of each type of dog food.

Wet food: 2/3 can per meal * 2 meals per day

= 4/3 cans per day.

Dry food: 1/8 bag per meal * 2 meals per day

= 1/4 bag per day.

Special meat: 3/5 patty per meal * 2 meals per day

= 6/5 patties per day.

Step 2: Calculate the total food available for Roxie.

Wet food: 24 cans purchased.

Dry food: 4 bags purchased.

Special meat: 3 packages (3 * 6 patties = 18 patties) purchased.

Step 3: Calculate the number of days the food will last.

Days of wet food: 24 cans / (4/3 cans per day)

= 24 * 3/4

= 18 days.

Days of dry food: 4 bags / (1/4 bag per day)

= 4 * 4

= 16 days.

Days of special meat: 18 patties / (6/5 patties per day)

= 18 * 5/6

= 15 days.

Step 4: Determine which type of dog food will run out first.

The special meat will run out first, after 15 days.

Step 5: Calculate how much of the other two types of dog food will be left after the first type runs out.

After 15 days, Roxie will still have

= 18 - 15

= 3 cans of wet food left.

After 15 days, Roxie will still have

=  16 - 15

= 1 bag of dry food left.

Step 6: Plan for 90 days.

The total number of patties needed for 90 days

= (6/5 patties per day) * 90 days

= 108 patties.

and, the trainer needs to buy

=  108 / 6 = 18 packages

- For wet food, Roxie needs

=  (4/3 cans per day) * 90 days

= 120 cans.

The trainer already has 24 cans, so she needs to buy

= 120 - 24 = 96 more cans.

- For dry food, Roxie needs

=  (1/4 bag per day) * 90 days = 22.5 bags.

Since the trainer can't buy half a bag, she needs to round up to 23 bags.

Step 7: Minimum amount of food to buy to finish all of it after a certain number of meals.

Minimum amount of wet food to buy:

= (4/3 cans per day) * 60

= 80 cans.

Minimum amount of dry food to buy:

=(1/4 bag per day) * 60

= 15 bags.

Minimum amount of special meat to buy:

=(6/5 patties per day) * 60

= 72 patties.

Therefore, the trainer could buy a minimum of 80 cans of wet food, 15 bags of dry food, and 72 patties of special meat, and Roxie would finish all of it after 60 meals (30 days).

Learn more about Fraction here:

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Simplify:
(45-28)-|15-21|
A.11
B.17
C.23
D.29

Answers

11
45 - 28 = 17
15 - 21 = -6
|-6| = 6
17 - 6 = 11
The answer should be A.11 if you need to show work i can show you the equations if needed

Damon does the following math problem:

4 • 7 • 1/4

4 • 1/4 • 7

1 • 7

7

Damon has used all of the following number properties except _____.

1. commutative property of multiplication
2. multiplicative identity
3. distributive property
4. multiplicative inverse

Answers

Answer:

Distributive Property

Step-by-step explanation:

Answer:

3) DISTRIButive property

Step-by-step explanation:

Technoblade is better. Tommyinnit is kinda annoying and timedeo is kinda irrelevant

63 is 90% of what number? pls help

Answers

Set 63 equal to 90%
63 = 90%

Find 10% by dividing both sides by 9
7 = 10%

Find 100% by multiplying both sides by 10
70 = 100%

PLS I NEED THIS ASAP
-2/12 divided by 6

Answers

Answer:

-0.027777

Step-by-step explanation:

put it into a calculator or you can write it down writing it down would be better and use a calculator to check

Rhett is showing his work in simplifying (−7.9 + 5.2) − 1.4.

Step 1: (5.2 − 7.9) − 1.4
Step 2: 5.2 − (7.9 + 1.4)
Step 3: 5.2 − (9.3)
Step 4: −4.1

Answers

The answer for rhetts issue is 54.4

*Algebra* PLs follow the instructions down below

Answers

Hopefully this helps love!

A hairstylist schedules 1/4 hour to trim a customers hair and 1/6 hour to style the customer's hair. The hairstylist plans to work 3 1/3 hours each day for 5 days each week. How many appointments can the hairstylist schedule each week if each customer must be trimmed and styled?

PLEASE SHOW WORK ON HOW YOU GOT THE ANSWER

GIVING BRAINLIEST

Answers

Answer:

40

Step-by-step explanation:

trim+style needs 1/4 + 1/6 = 5/12 hour

each day she can do (10/3) / (5/12) = 8 appointments.

So, that makes 40 appointments during the week.

Answer:

I know the question is already answered, but I just need the points :p

Step-by-step explanation:

They are indeed correct though.

Juan does to the school book fair where paperback books are $1.50 and hardback books are $3.00. Juan buys 5 paperback books and 2 hardback books. How much did he spend?

Answers

Paperback- 5*1.50= 7.50. Hardcover-3*2=6. 7.50+6= 13.50. There fire Juan spent $13.50 in total

Answer:

Step-by-step explanation:

John spent $13.50 because when you multiply 1.50 times 5 you get 7.50 and when you multiply 3 times 2 you get 6 and when you add both answers up you get 13.50

10 points!
Each morning, the school librarians place 560 books on a special book shelf. Each student who visits the library that day takes exactly 3 books from the shelf. Let s be the number of students who visit the library on a particular day. Let b be the number of books left on the shelf at the end of that day.
There are 150 students at this school. Use this information to find the domain of the function b(s).
FIND THE DOMAIN

Answers

Answer:

I found this from another response. Hope this helps :))))))

Answer:

what’s wrong

Step-by-step explanation:

15 POINTS IF HELP WILL MARK BRAINLIEST

Answers

Answer:

-2 < -3/4.  Another way in which to do this would be to use the LCD:

-8/4 < -3/4.

Step-by-step explanation:

8 has a larger magnitude than  3, -8/4 and is smaller than -3/4.  On the number line, -8/4 (or -2) is to the left of -3/4.

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Look at the picture. What word describes the liquids in stage 1? How many ways can the letters in the word ASK be arranged? A deli sells 480 sandwiches per day at a price of four dollars each. Market survey shows that for every $.10 reduction in the price, 20 more sandwiches will be sold. How much do the deli charge in order to maximize revenue? Find the price of each product after a discount and tax is applied. Phonecharger: $16.55 Discount Rate: 30% Tax Rate: 6% Create your own vigilante that would protect the backcountry. Write a paragraph explaining his/her characteristics, how he/she protects the backcountry, and describe one encounter with outlaws. Use the definition of Regulator Movement in the PPT from Monday. The definition is below:Regulator MovementNo law enforcement in the backcountry, settlers took matters into their own hands.Felt their society needed to be 'regulated' (controlled or supervised)No courts; regulators operated as vigilantes: A self-appointed person or group that operates outside of the law but as an 'officer' of the lawThe movement to provide law & order through self-regulation turned lawless. The 'guilty' was hanged or beaten to death without a jury trial, violating their rights as Englishmen.Circuit Court Act of 1769: Set up 7 circuit courthouses around the colony to provide justice, law & order in the region. Write a story that ends with indeed it pays to be obedient From a laboratory process designed to separate water into hydrogen and oxygen gas, a studentcollected 10.0 g of hydrogen and 79.4 g of oxygen. How much water was originally involved in theprocess? please help me with this. i have trouble finding the slopes in these problems. Please help I will mark brainliest! The input work on pulley system is 75J. If the pulley system is 84 percent efficient, then what is the output work from the pulley system? A borrower is looking for an ARM loan and wants to pay Interest Only for a set amount of time. Which ARM would you recommend for the borrower? Consider the diagram below. The large rectangle represents a piece of construction paper. The small rectangle represents a piece of the construction paper that has been cut out. The area of the large rectangle is 100 cm2. The area of the small rectangle is 25 cm2. What is the area of the construction paper that remains? PLS HURRY will marrk brainliest and 100 points How many gods did the Romans have? 6 1 2 many Which population has the greatest density? how do i solve each of these Use the verb ser to describe what these people are like in three complete sentemay use the adjectives from the box.perezosos(as)trabajador(a)organizado(a)atlticos(as)simpticos(as)modelo:Mis padres son muy trabajadores.Los futbolistas:Pablo y Luis:El maestro: Raina buys candy that costs $5 per pound. She will buy more than 11 pounds of candy. What are the possible amounts she will spend on candy? Use c for the amount (in dollars) Raina will spend on candy. I need help with this please stems Explain what would happen if the buck and the rabbit were hunted to extinction by man and removed from the ecosystem. What connections can u construct from this early African era to today society