The perimeter of a football field is 920 feet. The width is 60 feet more than one-third of the length. What are the dimensions of a football field?

Answers

Answer 1

Given:

Perimeter of a football field = 920 feet.

The width is 60 feet more than one-third of the length.

To find:

The dimensions of a football field.

Solution:

Let the length of the field be x.

Then, width = [tex]\dfrac{1}{3}x+60[/tex]

We know that,

[tex]Perimeter = 2( length + width)[/tex]

[tex]920 = 2(x+\dfrac{1}{3}x+60)[/tex]

[tex]920 = 2(\dfrac{4}{3}x+60)[/tex]

[tex]920 =\dfrac{8}{3}x+120[/tex]

Subtract both sides by 120.

[tex]920-120 =\dfrac{8}{3}x+120-120[/tex]

[tex]800 =\dfrac{8}{3}x[/tex]

Multiply both sides by 3.

[tex]2400 =8x[/tex]

Divide both sides by 8.

[tex]300 =x[/tex]

Now,

[tex]Length = 300\text{ feet}[/tex]

[tex]Width=\dfrac{1}{3}(300)+60[/tex]

[tex]Width=100+60[/tex]

[tex]Width=160\text{ feet}[/tex]

Therefore, the length and width of the football field are 300 feet and 160 feet respectively.


Related Questions

90 POINTS! PLEASE HELP!
Select the correct answer What is the solution for x in the equation 5/3 * x + 4 = 2/3* x Ο Α x = 12/7 OB B. x = -4 OC 12/7 OD x = 4

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x=-4  hope it helps! good luck

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Answer:

I think is C

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Taking a guess. Pretty sure it’s 59. Bc if x = 59 then it’ll b 59+62 and that equals 121 degrees. That angle is also a obtuse angle. An obtuse angle is a type of angle whose degree measurement is more than 90° but less than 180°.

REALLY SORRY IF IM WRONG

Find the missing factor D that makes the equality true.
– 15y4 = (D)(3y?)

Answers

Answer:

[tex]-15y^{4} = D(3y^{2})\\-15y^{4}/3y^{2} = -5y^{2} \\D = -5y^{2}[/tex]

Step-by-step explanation:

what is 2.99 x 0.6 in dollars and cents plz help:(

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Answer:

the answer is 1. 794

Step-by-step explanation:

Answer:1.794 is the answer to you question.                                                  

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Write the slope intercept form of the line that goes through points (5,6) and (2, 15)

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Answer:

[tex]slope \: = \frac{y2 - y1}{x2 - x1 } \\ slope = \frac{15 - 6}{2 - 5} \\ slope = \frac{9}{3} [/tex]

What is the square root for this numberZ

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10 is the answer because 10 times itself is equal to 100
10
.........................

A salad lettuce,tomatoes,and onions would be classified as a

Answers

A salad can be defined as plate full of different kinds of vegetables and fruits which are edible.
The plates contains tomatoes which are different in chemical composition, lettuce which is also different in chemical composition and onions which are all mixed together.
Elements having different chemical composition when combined together is known as a mixture

A line passes through (2, -1) with slope 3.
What is the equation of the line in point-slope form?
A. y - 1 = 3(x + 2)

B. 3(y + 2) = x - 1

C. y - 2 = ( 1/3 x + 1)

D y + 1 = 3(x - 2)

Answers

A. y - 1 = 3x + 6
Add 1
y = 3x + 7

B. 3y + 6 = x - 1
Subtract 6, then divide by 3
3y = x - 7
y = 1/3x - 7/3

C. y - 2 = 1/3x + 1
Add 2
y = 1/3x + 3

D. y + 1 = 3x - 6
Subtract 1
y = 3x - 7

When put on a graph, D passes through (2, -1)

Answer is D.

The sum of the ages of Martin and his son Sherwin is 47 years. Martin's age is 2 years more than 4 times the
age of Sherwin. Find their present age.​

Answers

Answer:

In the picture above it shows how to answer the questions step by step. If there's a mistake, pls inform me.

PLEASE HELP ME ANSWER NOW!!!! 15 POINTS

Answers

Answer:

x = 4

Step-by-step explanation:

6x + 4 = 12x - 20

x = 4

pls give the answer​

Answers

Answer:

It should be 245 m

Step-by-step explanation:

Separate it like this:

chop of the rectangle part and find the area of that and then add it to the trapezoid part

10*20 = 200.

Area of a trapezoid = 5+10/2 *6.

5+10 = 15. 1

5/2 = 7.5.  

7.5*6 = 45.

45 + 200 = 245

Which function is linear?
A. 9y+3=0
B. Y-4x=1
C. Y=2+6x⁴
D. X-2y=7
E. X/y+1=2

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Answer:the answer is A

Step-by-step explanation:

Find the value of a. The diagram is not to scale. ​

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Answer: B. a = 144 degrees

Step-by-step explanation:

180=36+a

144=a

Step-by-step explanation:

hope it's obvious both the reason is being cointerior angle

plz follow me

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Answer:

D

Step-by-step explanation:

Answer:

uhh what kinda symbols r those

Step-by-step explanation:

4x =64 find x in exponential equations

Answers

Answer:

X=16

Step-by-step explanation:

4/64

x=16

Eight year-old Alex is learning to ride a
horse. The trainer says that a horse
ages 5 years for every 2 human years.
The horse is now 50 years old in human
years. How can you determine the age
of the horse, in human years, when Alex
was born?
Hint: Use a table or a graph to
help you find the solution.
Show your work.

Answers

Answer:

The age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years.

Therefore, the age of the horse, in human years, when Alex was born was 42 years.

Step-by-step explanation:

Current age of Alex = 8

Current age of the horse in human years = 50

Since the age of the horse is already stated in human years, it implies there is no need to convert the age of the horse again.

Therefore, since Alex is a human who was born 8 years ago, the age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years as follows:

The age of the horse, in human years, when Alex was born = 50 - 8 = 42

Therefore, the age of the horse, in human years, when Alex was born was 42 years.

This can be presented in a table as follows:

                               Age of Alex        Age of the Horse (in human years)

Eight years ago              0                                           42

Current age                    8                                           50

What is accounting? What is the role of accounting in values?

Answers

Answer:

Found this on google, "Accounting creates values by maintaining transparency of accounts. Since man lives in the society, he has got a social life. For leading a social life he has to perform financial and material transactions daily. For carrying out these transactions successfully the existence of a sound environment is necessary."

Answer: Accounting is the process of recording financial transactions pertaining to a business.

Step-by-step explanation: The purpose of accounting is to accumulate and report on financial information about the performance, financial position, and cash flows of a business. This information is then used to reach decisions about how to manage the business, or invest in it, or lend money to it.

Eric plots points showing equivalent ratios on the coordinate plane below.

What is true about the relationship between the four points?
The points form a curve.
The points form a straight line.
The points are randomly scattered.
The points do not show any relationship.

Answers

Answer: The points form a straight line.

Step-by-step explanation:

please help asap
is x= -3 what is the value of |x-4|-x^2
thank you

Answers

Answer:

16

check your math

|(-3)-4|=7

-3^2=-9

7-(-9)=16

welcome <3

Please help me out i don’t know what right and left is!!! please tell me :(((

Answers

Answer:

put your fingers out in the shape of L's. Which ever finger has the L facing the proper way, is left, and the other is right.

Step-by-step explanation:

Jillian has a coin purse filled with quarters and dimes. She has a total of 21 coins.
All of the coins together have a value of $3.45. How many dimes does Jillian have?
o 7 dimes
o 9 dimes
o 12 dimes
o 14 dimes
SUBMIT RESPONSE

Answers

Answer:

12 dimes

Step-by-step explanation:

1 dollar= 4 quarters

1 dime=10 cents

3.45-1.20=2.25

2 dollars= 8 quarters

2.25-2.20=.25

1 quarter=.25

SOOOO your answer is 12 dimes

Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher. Let y represent the total number of inches of water in the rain-catcher after x days. Express the equation in the form of y=mx+b .

Answers

Answer:

y=  3x + 8

Step-by-step explanation:

y = mx + b

m = 3 inches of water added each day

x = 8 inches of water at start

y=  3x + 8 is the required equation.

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher.

We have,

m = 3 inches of water added each day

x = 8 inches of water at start

Converting in y = mx + b, we get,

y = 3x+8

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Johanna can jog 3,000 feet in 5 minutes. If she jogs at the same rate, how many feet can she jog in 8 minutes?

Answers

Answer:

4800

Step-by-step explanation:

3000\5=600

600*8=4800

2700 is a perfect cube. True/False?​

Answers

Answer: False

Step-by-step explanation:

Answer:

It is false hope this will be

Please solve: (in a hurry)
will name the brainliest!!!
include steps!

Answers

Answer:

Step-by-step explanation:

If JKLM is a trapezoid, which statements must be true? Check all that apply.
A. JK=~KL
B. J is congruent to M.
DC. JK is parallel to LM.
I D. J is congruent to K.
E. KL is parallel to JM.
OF Jis supplementary to K.

Answers

is there a picture to go with this question?

JKLM is a trapezoid. Statements A and E are correct.

What is the definition of geometry?

It is concerned with the geometry, region, and density of various 2D and 3D shapes. There are two parallel sides and two non-parallel sides to a trapezoid.

These are the actual statements:

(a) J is supplementary to K

(e) KL is parallel to JM

Hence, statements A and E are correct.

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The front and back covers of a textbook are each 0.3 cm thick. Between the covers are 200 sheets of paper, each 0.008 cm thick. How high is a stack of 10 books

Answers

Answer:

22 cm

Step-by-step explanation:

Start off by multiplying the number of pages by the thickness.

200*0.008=1.6

Add the thickness of the front and back cover.

1.6+0.6=2.2

Multiply by 10.

2.2*10=22 cm

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,

The thickness of a single book

= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)

= (2 × 0.3cm) + (200 × 0.008cm)

= 2.2 cm

Now, the thickness of 10 books will be,

The thickness of 10 books = 10 × the Thickness of a single book

                                            = 10 × 2.2 cm

                                            = 22 cm

Hence, the height of the 10 stacks of books is 22cm.

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In ΔBCD, the measure of ∠D=90°, BC = 81 feet, and DB = 52 feet. Find the measure of ∠C to the nearest tenth of a degree.

Answers

Answer:

39.9°

Step-by-step explanation:

m∠C = β

sin β = [tex]\frac{52}{81}[/tex] ⇒ β = arcsin [tex]\frac{52}{81}[/tex] ≈ 39.9°

Answer:

39.9

Step-by-step explanation:

sinC=  

sin C = \{52}{81}

sinC=  

81

52

​  

 

C=\sin^{-1}{52}{81})

C=sin  −1 (  81 /52 )

C=39.9393\ 39.9^

C=39.9393≈39.9∘

Simplify the expression:
7p+6q-2p+q

Answers

Answer:

5p+7q

Step-by-step explanation:

Answer:

5p+7q

Step-by-step explanation:

You add common terms together.

(7p-2p)+(6q+q)

5p+7q

Hope I helped!

In the 48 years between 1842, the average rate of erosion at horseshoe falls was 33 divided by 50 metre per year. In the 22 years between 1905 and 1927 the rate of erosion was 7 divided by 10 meter per year . Approximately how much total erosion occurred during these two time periods

Answers

Answer:

47. 08 meters

Step-by-step explanation:

Given that:

In 48 years between 1842 :

Rate of erosion = 33/50 meters per year

Between 1905 - 1927 (22 years)

Rate of erosion = 7/10 meters per year

Approximately how much total erosion occurred during these two time periods ;

Total erosion that occured within 1842:

Rate of erosion * number of years

(33/50)m * 48

0.66 meters * 48

= 31.68 meters

Total erosion that occured between 1905 - 1927:

Rate of erosion * number of years

(7/10)m * 22

0.7 meters * 22

= 15.40 meters

total erosion which occurred during these two time periods ;

31.68 meters + 15.40 meters

= 47.08 meters

Answer:

47. 08 meters

Step-by-step explanation:

Given that:

In 48 years between 1842 :

Rate of erosion = 33/50 meters per year

Between 1905 - 1927 (22 years)

Rate of erosion = 7/10 meters per year

Approximately how much total erosion occurred during these two time periods ;

Total erosion that occured within 1842:

Rate of erosion * number of years

(33/50)m * 48

0.66 meters * 48

= 31.68 meters

Total erosion that occured between 1905 - 1927:

Rate of erosion * number of years

(7/10)m * 22

0.7 meters * 22

= 15.40 meters

total erosion which occurred during these two time periods ;

31.68 meters + 15.40 meters

= 47.08 metersStep-by-step explanation:

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