The playing field for a particular sport is a rectangle whose length is 4 feet more than twice the width. The perimeter of the playing field is 200 feet. Find the dimensions of the playing field.

Answers

Answer 1

Answer:

The length and width of the field are 68ft and 32ft respectively

Step-by-step explanation:

Given:

Rectangular Playing Field

Perimeter. P = 200 ft

Required

The dimension of the field (Length and Width)

Let L and W represent the length and the width of the field.

From the question, L is 4 more than twice of W.

This means

L = 4 + 2W

Provided that the playing field is rectangular in shape;

We need to make use of the formula of perimeter of a rectangle.

P = 2(L + W)

Substitute 200 for P

200 = 2(L + W)

Divide through by 2

[tex]\frac{200}{2} = \frac{2(L + W)}{2}[/tex]

100 = L + W

Recall that L = 4 + 2W

Substitute 4 + 2W for L

100 = L + W becomes

100 = 4 + 2W + W

100 = 4 + 3W

Subtract 4 form both sides

100 - 4 = 4 + 3W - 4

96 = 3W

Divide both sided by 3

[tex]\frac{96}{3} = \frac{3W}{3}[/tex]

32 = W

W = 32

Recall that L = 4 + 2W

Substitute 32 for W

L = 4 + 2(32)

L = 4 + 64

L = 68

Hence the length and width of the field are 68ft anf 32ft respectively


Related Questions

Identify the equation or inequality of the graph

A)2x-3y=6
B)3x+2y=-6
C)2x-3y=-6
D)3x-2y=6

Answers

Answer:b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Each big square below represents one whole.
What percent is represented by the shaded area?​

Answers

Answer:

59%

Step-by-step explanation:

No. of squares in a whole = 10*10=100

No. of spaces shaded = 59

No. of spaces not shaded = 41

Hence, percent represented by the shaded area = 59%

A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?
0
5
10
15
20
25
5
10
15
20
25
5
10
15
20
25
5
10
15
20
25
Which box plot could represent this data?

Answers

Answer:

First box plot

Step-by-step explanation:

In the figure attached, the options are shown.

The left end of the box is the lower quartile (also called quartile 1 or Q1)

The right end of the box is the upper quartile (also called quartile 3 or Q3)}

The interquartile range (IQR) is computed as follows:

IQR = Q3 - Q1

If Q1 = 3 and IQR = 5, then Q3 = 5 + 3 = 8

The first box plot is the only one with a lower quartile of 3 and an interquartile range of 5

The box plot that could represent a data set that has an interquartile range of 5 is the box plot shown in the image attached below (see attachment).

What is Interquartile Range (IQR)?

Interquartile range (IQR) of a data set is the distance between the lower quartile (Q1) and the upper quartile (Q3) on a box plot.

Thus, a box plot that has a lower quartile of 3 and interquartile range of 5 will have a distance of 5 from the lower quartile to the upper quartile.

Therefore, the box plot that could represent a data set that has an interquartile range of 5 is the box plot shown in the image attached below (see attachment).

Learn more about interquartile range on:

https://brainly.com/question/4102829

Please answer #5 A-C!

Answers

Answer:a

Step-by-step explanation:I know

A circle has a radius of 5/3 units and is centered at (9.2 -7.4)
Write the equation of the Circle.

*PLEASE HELP MEEEEEEEEE*

Answers

Answer:no

Step-by-step explanation:

Bc no

Please help with this

Answers

Answer:

[tex]\frac{\sqrt{8} }{\sqrt{10} }[/tex]

Step-by-step explanation:

A perfect square is a number that has two identical factors, meaning it can be square rooted. The numbers 64 and 100 are an example:

8 · 8 = 64

10 · 10 = 100

So when you take the square root of [tex]\frac{64}{100}[/tex], you get:

[tex]\frac{\sqrt{8} }{\sqrt{10} }[/tex]

It doesn't say to simplify, so we can just leave it at that.

Jael and Kelsey work at a bakery. Jael makes 8 cupcakes for every 5 cupcakes that Kelsey
makes. If Kelsey makes 175 cupcakes in one day, what is the total combined number of cupcakes that Kelsey and Jael make in one day?

Answers

Answer:

35

Step-by-step explanation:

175/5

Answer:

455 cupcakes

Step-by-step explanation:

If Jeal makes 8 cupcakes for every 5 cupcakes that Kelsey makes and Kelsey made 175 cupcakes then you divide 175 by 5 and you get 35. Then mulitply 35 by 8 and you will get 280. Lastly you add 175 and 280 and you will get 455.

Evaluate the expression below for x = 2, y = –3, and z = –1.

A.

–23

B.

–5

C.

13

D.

27

Answers

Correct question:

Evaluate the expression below for x = 2, y = –3, and z = –1.

Given: [tex] x^2 z^2 -y^2(x+z) [/tex]

Options:

A.–23

B.–5

C.13

D.27

Answer:

B. -5

Step-by-step explanation:

In this question we are given the following values:

x = 2

y = -3

z = -1

Given the expression:

[tex] x^2 z^2 -y^2(x+z) [/tex]

To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively

Therefore,

[tex] x^2 z^2 -y^2(x+z) [/tex]

Substituting values, we have:

[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]

Simplifying, we have:

[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]

[tex]= [(4) (1)] - [(9)(1)] [/tex]

[tex]= 4 - 9[/tex]

= -5

The correct answer is option B

The diagram below is divided into equal parts. Which shows the ratio of unshaded sections to shaded sections

Answers

Answer:

5 to 1.

Step-by-step explanation:

There are 5 unshaded and one shaded section so it's

5:1.

The ratio of unshaded sections to shaded sections is;

Option D; 5 to 1

We are told that the diagram is divided into equal parts.

Now, from the given, we can see that there are 6 equal parts. However, out of the 6 equal sections, only one section is shaded while 5 sections are unshaded.

This means that the ratio of unshaded sections to shaded sections is; 5 to 1.

In conclusion, the ratio of unshaded sections to shaded sections from the given diagram that was divided into equal parts is; 5 to 1.

Read more at; https://brainly.com/question/20094176

evaluate the following f(-2)=2x-7

Answers

Answer:

-11

Step-by-step explanation:

f(x)=2x-7

Let x = -2

f(-2)=2(-2)-7

     = -4 -7

     = -11

please help me please please please please​

Answers

Answer: [tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]-2\frac{1}{3}-(-5)=[/tex]

Convert the mixed number to improper fraction. You can do this by multiplying the whole number times the denominator and adding the numerator; over the same denominator.

[tex]-\frac{2*3+1}{3} -(-5)=[/tex]

Solve;

[tex]-\frac{6+1}{3} -(-5)=[/tex]

[tex]-\frac{7}{3} -(-5)=[/tex]

Now, get rid of the two negatives by multiplying.

[tex]-\frac{7}{3} +5=[/tex]

Remember 5 has a 1 below; therefore, we can subtract these two fractions by getting both to a same denominator. Let's rewrite 5 as a fraction.

[tex]-\frac{7}{3}+\frac{5}{1} =[/tex]

To be able to convert 1 to 3, we have to multiply by 3. Remember that if you change the denominator, you have to change the numerator as well.

[tex]-\frac{7}{3}+\frac{5}{1} (\frac{3}{3} ) =[/tex]

Solve;

[tex]-\frac{7}{3}+\frac{15}{3} =[/tex]

Subtract numerators and keep the same denominator.

[tex]\frac{-7+15}{3}=\frac{8}{3}[/tex]

Convert to a mixed number. To do this, first, divide:

8/3=2

6

----

2

The 2 after the equal sign is the whole number, the two in the remainder is the numerator and the 3 is the denominator. Leaving our result as: [tex]2\frac{2}{3}[/tex]

Sondra gets $75 a week, plus 10 percent of sales. Which equation best represents her salary? Group of answer choices

Answers

75 + (10/75)
I do not know for sure

What is the value of x when 1/3x=9 1/3?
Helppp nowww

Answers

Answer:

x=28

Step-by-step explanation:

[tex]\frac{1}{3} x=9\frac{1}{3} \\\frac{1}{3} x=\frac{28}{3} \\x=28[/tex]

The value of x is 28.

What is mixed fraction?

A mixed fraction represented with its quotient and remainder is a mixed fraction.

How to convert a mixed fraction fraction into an improper fraction?

To convert a mixed fraction into improper fraction first we multiply the denominator of the proper fraction to the whole number attach with it then we add the numerator.

According to the question:

we have

[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]

for finding the value of x

[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]

⇒[tex]\frac{1}{3}x=\frac{28}{3}[/tex]

⇒[tex]\frac{3}{3} x= 3[/tex]×[tex]\frac{28}{3}[/tex]                      (multiply both the sides by 3)

⇒ [tex]x= 28[/tex]

The value of x is 28.

Learn more about for finding the value of x here:https://brainly.in/question/11504807

#SPJ2

What is the product of the binomials below?
(5x + 2)(4x +4)

Answers

You can use the FOIL method (First, Outer, Inner Last) as how most people prefer it.

5x*4x=20x^2

5x*4=20x

2*4x=8x

2*4=8

Combine them all together and you get 20x^2 + 28x +8

I hope this helps.

Answer:

20x^2 + 28x + 8

Step-by-step explanation:

you use the box method shown in the picture to multiply then combine like terms

The point P(x,y) lies on the terminal side of an angle theata = -60 degrees in standard position. What are the signs of the values of x and y

Answers

Answer:

a

Step-by-step explanation:

a

Angles
SU and VX are parallel line.
which angles are alternate exterior angles?
XWY and STR
XWY and VWT
XWY and VWY
XWY and XWT​

Answers

Answer: XWY and STR

I tend to think of parallel lines as train tracks (the metal rail part anyway). Inside the train tracks is the interior region, while outside the train tracks is the exterior region. Alternate exterior angles are found here. Specifically they are angles that are on opposite or alternate sides of the transversal cut.

Both pairs of alternate exterior angles are shown in the diagram below. They are color coded to help show how they pair up and which are congruent.

A thing to notice: choices B, C, and D all have point W as the vertex of the angles. This means that the angles somehow touch or are adjacent in some way due to this shared vertex point. However, alternate exterior angles never touch because parallel lines never do so either. We can rule out choices B,C,D from this reasoning alone. We cannot have both alternate exterior angles on the same exterior side of the train tracks. Both sides must be accounted for.

(x*y)*z=144
x = y*3
z = y*2

please help

Answers

Answer:

whats the question that u need help with

20 points if you can help me with problem 2.

Answers

I think it’s 9 in the 3rd lane the 3 rd one

Answer:

3, 4, 5, 6, 7, 9, 10, 11

Step-by-step explanation:

Actually it's 10 points but whatever:

I number the figures like this:

1, 2, 3

4, 5, 6

7, 8, 9

3, 4, 5, 6, 7, 9, 10, 11 work because if you cut them out and glued the sides correctly, it will become a cube.

19. Alyse is writing down some notes to argue her case as to how the
body functions when riding a bike. Select the correct phrases below to
help finish these notes.

Answers

Answer: Bro write the question better

Step-by-step explanation:

PLEASE HELP ME!!!!! I WILL GIVE BRAINLIEST!!!!!!!!
You deposit $2000 in a savings account earning 3.5 interest. How long will it take for the balance of the account to be $2100?

Answers

Answer:

Is this monthly? Annually? I don't how how to help with this if theres no time period.

Step-by-step explanation:

Please HELP!!!!!!!!!

Answers

Answer:

The sides are 3 and 9

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + (3x)^2 = (3 sqrt(10))^2

x^2 + 9x^2 = 9*10

10x^2 = 90

Divide each side by 10

x^2 = 90/10

x^2 =9

Take the square root of each side

x = sqrt(9)

x = 3

The sides are x=3  and 3x = 3(3) = 9

Answer: x=10

Step-by-step explanation:

Since the original statements were x, 3x, and 3[tex]\sqrt{x}[/tex], is already given as 10 in 3[tex]\sqrt{x}[/tex], therefore, 3x is 3*10 and x is 10

Please round 0.02623 to the nearest hundred.
||||
Thank you guys! Please answer soon!

Answers

.03 is the answer. hope it help!:-)

Answer:

0.02623 rounds to 0.03

Step-by-step explanation:

ones. tenths hundredths thousands

we look at the thousandths place when rounding to the hundredths

the thousands place is 6 (which is 5 or greater) so we will round the hundreds place up 1

0.02623 rounds to 0.03

When you graduate from high school, you deposit all of your graduation cash into an account earning 5% interest. Ten years from now you will have
$5000 in that account. How much money did you deposit?

Answers

If it’s 5% interest per year, then you deposited $2500. If it’s 5% interest total over the total 10 years, then you deposited $4750

Given the domain {-2, 1, 5}, what is the range for the relation 4x + y = 3?


{11, -1, -17}

{-5, 7, 23}

{-11, 1, 17}

{-1, 4, 8}

Answers

Answer:

Its the first one

Step-by-step explanation:

Answer:

FOR PLATO IS NUMBER 2

Step-by-step explanation:

(11,-1,-17)

please help i suck at math:'(

Answers

Answer: B 6400 m

Step-by-step explanation:

the answer is B. 6,400 meters

help please!!!!!!!!!!

Answers

Answer:

[tex]15 × 10^{0}[/tex]

Step-by-step explanation:

5 × 10^-7 × 3 × 10^6

15 × 10^-1

= 1.5 × 10^0

Answer:

15 × 10^{-1} is the correct

Step-by-step explanation:

find the missing letter N if the width is 2ft and the area equal 28 sq ft​

Answers

Answer:

Step-by-step explanation:

Area = 28 Sq.ft

length * width = 28

2 * n = 28

Divide both sides by 2

2n/2 = 28/2

n = 14 ft

Find the product of each sum and difference.
(21+9)(21-9)

Answers

30 12

Step-by-step explanation:

21 + 9 equals 30 21 - 9 equals 12

A cone and a cylinder have the same height and their bases are congruent circles

If the volume of the cylinder is 90 cm^3,
what is the volume of the cone?

Answers

Answer:

30 cm³

Step-by-step explanation:

Volume of cone is ⅓ of volume of cylinder , when they have same radius and height.

Volume of cone = ⅓ × 90 = 30 cm³

What is the equation of a line with a slope of -2 that passes through the point (6, 8)?
A. 2x + y = 20
B. y-2x = 4
C. y-2x = 20
D. 2x + y = 4

Answers

Answer:

2x+y = 20

Step-by-step explanation:

The equation for a line is y = mx+b where m is the lope and b is the y intercept

y = -2x+b

substitute the point into x and y

8 = -2(6) +b

8 = -12+b

Add 12 to each side

20 =b

y = -2x+20

Add 2x to each side

2x+y = 20

Answer: 2x+y = 20

Step-by-step explanation:

The equation for a line is y = mx+b where m is the lope and b is the y intercept

y = -2x+b

substitute the point into x and y

8 = -2(6) +b

8 = -12+b

Add 12 to each side

20 =b

y = -2x+20

Add 2x to each side

2x+y = 20

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