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?

A Rectangular Park 40 Yards Wide Was Redesigned, And A Path 1 Yard Wide Was Built Around It. How Long

Answers

Answer 1

Answer:

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.

The length of the park was 98 yds, before the path was built.

Answer 2

Answer:

98 yards

Step-by-step explanation:

First we will list our values

new w: 42

old w: 40

old l: x

new l: x+2

we are adding 2 to the new values as there is 1 yard on either side

now we will find the new area:

42 * (x+2) =4200

42x+84=4200

42x=4116

x=98


Related Questions

Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. y = $0.17x + $15.89 How much did Hans pay for his trip?

Answers

Given :

Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile.

In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. y = $0.17x + $15.89 .....1)

To Find :

How much did Hans pay for his trip.

Solution :

x = 450 miles.

Putting value of x in equation 1 we get :

y = $(0.17×450 + 15.89)

y = $(76.5+15.89)

y = $92.39

Therefore, Hans will pay $92.39 for his trip.

Hence, this is the required solution.

can someone please help me! thanks
8x + 14y = 4
​−6x − 7y = −10

Answers

Answer:X= 4, y= -2

If you're solving by addition/elimination

Answer:

(4,-2)

I hope this helps

24 is what percent of 300

Answers

8% of 300 is 24 hope this helps

Answer:

8

Step-by-step explanation:

x/100=24/300

100 times 24 =2400

2400 divided by 300 = 8

FAST
Which expression is equivalent to rm ÷ rn? (4 points)

rm – n
rm + n
rm • n
rm ÷ n

Answers

it should be rm - n I THINK, i’m not sure

Which measurement of a polygon in the shape of a square with 6-inch sides is a perfect square?
A. Area
B. Angles
C. Diagonal
D. Perimeter ​

Answers

Answer:

A: Area

Step-by-step explanation:

The area is 6^2=36 and 36 is a perfect square.

Factor 8x^{4}-46x^{2}+45
PLEASE HELP ANSWER ASAP I WILL GIVE BRAINLIEST

Answers

Answer:

(4x^2-5) x (2x^2-9)

Step-by-step explanation:

01.) Write -46x^2 as a difference

8x^4-10x^2-36x^2+45

02.) Factor out 2x^2 from the expression

8x^4-10x^2 -36x^2+45

2x^2 * (4x^2-5) - 36x^2+45

03.) Factor out -9 from the expression

2x^2 * (4x^2-5) - 9(4x^2-5)

2x^2 *(4x^2-5)-9(4x^2-5)

04. Factor out 4x^2-5 from the expression

(4x^2-5) *(2x^2-9)

If someone can help me on this one as well it would be great.

Answers

An

espera y termino y te ayudo vale que me falta poco

Explain why (4, 1) is not a solution to the equation y=3x+1

Please help me! I will mark brainliest!! <3

Answers

In (4, 1) 4 represents x, and 1 represents y

y = 3x + 1

1 = 3(4)+1

1 = 12 + 1

1 ≠ 13   ← sides are not equal so (4, 1) is not a solution to y=3x+1

Hiiiii.

How are you?

I like to be Friends.

27x + 18y + 30 Lol pls help I’m gonna fail

Answers

Answer:

[tex]=27x + 18y + 30[/tex] fr it's the real answer

Step-by-step explanation:

hope it helps u won't fail(maybe)

leave a like

and if u can mark brainliest

f(x) = -(x-3) +x
What is f(-1) = ?

Answers

Explanation:

Let y=3x

To calculate the inverse, interchange

x and y,    

x =3 y

HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!!!!!!!!!

Answers

Answer:72

Step-by-step explanation:

Solve the inequality from part A for x. Then use the drawing tools to graph the solution set on the number line. Solving lenear equations

Answers

Answer:

On the number line, mark the endpoint at 10 with a closed circle.  

Next, draw a ray to the right of 10. ➡️

➡️

Step-by-step explanation:

solve the inequality for x:

1,558 + 60x ≥ 2,158

60x ≥ 600

x ≥ 10

On the number line, mark the endpoint at 10 with a closed circle.  

Next, draw a ray to the right of 10. ➡️

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

solve the inequality for x:

1,558 + 60x ≥ 2,158

60x ≥ 600

x ≥ 10

To learn more on inequality click:

brainly.com/question/24853349

#SPJ2

PLEASE ANSWER REALLY EASY

Answers

Answer:

I will answer here because I am glitching.

Step-by-step explanation:

1.     1.36 < [tex]\sqrt{2}[/tex] < 2.45

2.    1.65 < [tex]\sqrt{3}[/tex] < 2.34

3.    1.65 < [tex]\sqrt{4}[/tex] < 2.34

4.    2.14 < [tex]\sqrt{5}[/tex] < 3.56

5.    2.41 < [tex]\sqrt{6}[/tex] < 3.56

I believe this is correct but check if I am wrong.

Using the numbers -4, 10, 8, 2, -3, -5, create an expressions that equals to 6.

Answers

Answer:

10+(-4)=6

Step-by-step explanation:

Answer:

-4 + 10

Step-by-step explanation:

Please help.
Express the following fraction in simplest form, only using positive exponents

Answers

Answer:

j^6 / 18s^23

Step-by-step explanation:

You first by flipping the fraction to get rid of the negative exponents:

(j^6)/(6s^3(3s^5)^4) =

When there are exponents that are being exponentiated together, multiply them:

(j^6) / (6s^3)(3s^20) =

When there are exponents that are being multiplied, add them:

(j^6) / (18s^23)

There were 60 children at the birthday. If 1/4 of them were boys how many were
boys?

Answers

Answer:

15

Step-by-step explanation:

60 x 1/4 = 60/4 = 15

the quotient of n and 3 is less than 5

Answers

Answer: n = 12

Explanation:
12/3= 4
4 is less than 5!!

What is the slope of the line that passes through the two points below?
A(-2,-9) B(2,4)

Answers

The slope of the line is 13/4 or 3.25. Oh and 3.25 is just 13/4 in decimal form if you need it. I hope this helps!

Determine if √4 is rational or irrational and give a reason for your answer.

Answers

Answer:

rational

Step-by-step explanation:

Because if you take the square root of 4 you get 2

if it was irrational then it would be a decimal or fraction

(plz mark braillist)

here's the image for the question I have:

Answers

Answer:

c

Step-by-step explanation:

Answer:

C::10:15

Step-by-step explanation:

It is C because he had 15 hours of first aid and 10 hours of cpr and the question says CPR TO FIRST AID therefore the number of CPR training hours will come before the number of First Aid training hours. If it would have asked you to reduce the ratio it would have been 2:3 because you would have had to divide both sides by 5 resulting in the smallest possible ratio.

HOPE THIS HELPS YOU OUT!

Write the equation of the line through the points (4, 5) and (12, 9)

Answers

Answer:

y = 1/2x + 3

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 5 / 12 - 4 = 4/8 = 1/2

y = mx+b

slope/m = 1/2

y = 1/2x + b

5 = 1/2(4) + b

5 = 2 + b

3 = b

y = 1/2x + 3

The equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6

From the question,

We are to determine the equation of the line passing through the points (4, 5) and (12, 9)

Using the formula,

[tex]\frac{y-y_{1} }{x-x_{1}} = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

From the given information

x₁ = 4

y₁ = 5

x₂ = 12

y₂ = 9

Putting the parameters into the formula, we get

[tex]\frac{y-5}{x-4} =\frac{9-5}{12-4}[/tex]

Then,

[tex]\frac{y-5}{x-4} =\frac{4}{8}[/tex]

[tex]\frac{y-5}{x-4} =\frac{1}{2}[/tex]

Then,

[tex]x - 4 = 2(y-5)[/tex]

[tex]x - 4 = 2y-10[/tex]

[tex]x -2y = -10 + 4[/tex]

[tex]x -2y = -6[/tex]

Hence, the equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6

Learn more on determining the equation of a line here: https://brainly.com/question/18035751

n^6
——
n^3

(n^6 divided by n^3)

Answers

Answer:

Step-by-step explanation:

Exponent Division Rule: [tex]\frac{b^m}{b^n} =b^{m-n}[/tex]

Step 1: Define

n⁶/n³

Step 2: Use Exponent Rule

n⁶/n³ = n⁶⁻³ = n³

Answer:

n^3

Step-by-step explanation:

Apply the exponent rule:

x^a

-----    = x ^ a-b

x^b

so basically, you're saying n ^ 6-3, which is n^3

solve for x .

y+2x=5

Answers

the answer is x = y/2 - 5/2

Answer:

x=-2x+5

Step-by-step explanation:

Determine if 0.27322370013414... is rational or irrational and give a reason for your answer.

Answers

Answer:

It's Rational.

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

It is found that 0.27322370013414... is rational number.

What are natural numbers, rational numbers, integers and irrational numbers?

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of a/b where a and b are integers.

Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

Since, rational number is any integer, fraction, terminating decimal, or repeating decimal.

Thus, 0.27322370013414... is rational number.

Learn more about a number pattern:

brainly.com/question/14471389

#SPJ2

What is 1/12 of 96? PLEASE HELP I AM TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

jkl

Step-by-step explanation:

jkl

783 times 42 fvvvvvdskjgfgehjck random letters needs to be 20 long

Answers

Answer:

cv 454546

Step-by-step explanation:

ZCCVZv dD

Find the midpoint of the segment with the following endpoints(-8,-6) and (2,-10)

Answers

Answer:

(-3, -8)

Step-by-step explanation:

-8+2/2= -3

-6 -10/2= -8

(-3, -8)

Solve for Y
2x + y/3 = 4

a. y = 6x + 12
b.y = -6x + 12
C. y = (x - 12
d. y = -6x - 12
(Will Mark Brainliest)

Answers

[tex]\huge{\boxed{\sf{y= 12 - 6x}}}[/tex]

Step by step explanation:

Step 1:

[tex]2x + \dfrac{y}{3} = 4 [/tex]

Step 2:

[tex] \implies \dfrac{2x \times 3 + y}{3} = 4[/tex]

Let take LCM

Step 3:

[tex]\implies \dfrac{6x + y}{3} = 4[/tex]

Step 4:

[tex]\implies6x + y = 4 \times 3[/tex]

Step 5:

[tex]\implies6x + y = 12[/tex]

Step 6:

[tex]\blue{\implies y= 12 - 6x✓}[/tex]

So option d is correct

thank you❤️

Help!

Joe went to a baseball game. The game started at 10:47 AM, and it was 3 hours 31 minutes long. When did the game end?

Answers

Answer:

2:18 PM

Step-by-step explanation:

This is the answer because:

1) First, count 3 hours from 10:47 AM. 10:47 - 11:47, 11:47 - 12:47, 12:47 - 1:47. We will end up with 1:47 PM.

2) Next, just add 31 minutes. In order to get 2:00 PM, we have to add 13 minutes, therefore, subtract 13 from 31, this is 18.

3) Finally, add 18 to 2:00, which is just 2:18 PM.

Hope this helps! :D

Answer:

2:18 PM

Step-by-step explanation:

You would start at 10:47 AM, then 3 hours and 31 minutes would pass by. The way I solved this was but adding the hours (10 + 3) and minutes (47 + 31) separatley. You would end up with 13 and 78. You would want to subtract 78 by 60 because 78 is higher than an hour, after that you would end up with 18 and 13:00 is 1:00 PM/AM and you just subtracted 60 from 78 so you would add 1 more hour to 1:00 PM so you would get 2:00 PM. After that, you would end up with 2:18 PM.

Rebecca went swimming yesterday. After a while she had covered one fifth of her intended distance. After swimming six more lengths of the pool, she had covered one quarter of her intended distance. How many lengths of the pool did she intend to complete?

Answers

Answer:

E. 120

Step-by-step explanation:

A. 40

B. 72

C. 80

D. 100

E. 120

Let

x = the intended distance

y = length of the pool

She covers one fifth of her intended distance

Distance covered = 1/5 of x

= x/5

After swimming six more lengths of the pool she had covered one quarter of her intended distance

x/5 + 6y = 1/4 of x

x/5 + 6y = x/4

Collect like terms

6y = x/4 - x/5

6y = 5x - 4x/20

6y = x/20

x = 20 * 6y

= 120y

x = 120y

The intended distance Rebecca wants to cover = 120

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