1.3.27
The length of a new rectangular playing field is 8 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 506 yards, what are its dimensions?
The width is

Answers

Answer 1

Answer:

The width of the field is 49 yards and the length is 204 yards.

Step-by-step explanation:

Let the width be b.

Length = 8+4b

The perimeter of the rectangle = 506 yards

The perimeter of the rectangle is given by :

P=2(l+b)

So,

506=2(8+4b+b)

253 = 8+5b

245 = 5b

b = 49 yards

Length, l = 8+4b

= 8+4(49)

= 204 yards

So, the width of the field is 49 yards and the length is 204 yards.


Related Questions

An environmental study was conducted. It reported that houses with more inhabitants do not necessarily produce more or less trash. What can be determined?
A. There is no correlation between number of inhabitants and amount of trash produced.
B. There is a correlation between number of inhabitants and amount of trash produced. However, there is no causation. This is because there is probably an increase in the amount of trash produced with an increase in the number of inhabitants.
C. There is a correlation between number of inhabitants and amount of trash produced. There may or may not be causation. Further studies would have to be done to determine this.

Answers

Answer:

C.

Step-by-step explanation:

There's no problem for now but it still needs to be monitored in case something might happen.

Isabella is making a display board for the school trip. The display board is 2.50m by 2m rectangle. She needs to cover the entire display board with card. How much card would she needs?

Answers

Answer:

5m^2

Step-by-step explanation:

Given data

Length of board= 2.50m

Width of board= 2m

The cover need should have the same area as the board

Area= Length*Width

Area= 2.5*2

Area=5m^2

Hence the area of the cover is 5m^2

(GIVING BRAINLYIST) 4 ÷ 1/2 YOU HAVE TO show your work on paper using fraction models!

Answers

Answer:

8

Step-by-step explanation:

so my school uses the method called kcf (keep change flip)

keep the 4

change the division sign to a multiplication sign

flip 1/2 to 2/1

4x2=8

Answer:

8 i first said two but used a caculater and found out it was 8

Step-by-step explanation:

Please please please help ill do anything ​

Answers

Answer:

Anything??

Step-by-step explanation: (Im joing btw didnt want to offend anyone lol)

x=40

What is the area of the composite figure?

Answers

Hello! :)

[tex]\large\boxed{A = 32.5cm^{2}}[/tex]

We can use the following area to solve for the area of the trapezoid pictured:

[tex]A = \frac{1}{2}(b_{1} + b_{2})h[/tex]

Where:

h = height

b1 = bottom base

b2 = top base

Plug in the given values:

[tex]A = \frac{1}{2}(9 + 4)(5)[/tex]

Simplify:

[tex]A = \frac{1}{2}(65)\\\\A = 32.5 cm^{2}[/tex]

Consider the graph of Nintendo Switch owners in each city.

City Number of Owners Total Population
Indianapolis, IN 672 860,902
Reno, NV 220 247,680
Sacramento, CA 379 495,234
Columbus, OH 492 880,182
Tampa, FL 196 377,165

If Reno had the same number of Nintendo Switch owners as Columbus per capita, how many Nintendo Switch owners would Reno expect to have? (Round your answer to the nearest whole number)

Answers

Answer:

138.45

Step-by-step explanation:

it's correct.

Estimate the value of 50.
O A. between 5 and 6
O B. between 6 and 7
C. between 7 and 8
<
D. between 8 and 9
PLEASE HELPP

Answers

Answer: c

Step-by-step explanation: because 7 squared is 49 and 8 squared is 64

nvm i read the question wrong

Step-by-step explanation:

the person above is correct

is that true that r is the set of counting numbers from 7 to 12 is in a roster notation​

Answers

Yes it is true 7to 12 is in a roster notation

Find the area of these shapes

Answers

Answer:

Step-by-step explanation:

Left figure:

area of rectangle = 4×6 = 24 cm²

area of triangle = ½×(base of triangle)×(height of triangle) = ½×6×4  = 12 cm²

area of shape = 24+12 = 36 cm²

Right figure:

area of rectangle = 6×8 = 48 m²

area of triangle = ½×(base of triangle)×(height of triangle) = ½×8×(8-6) = 8 m²

area of shape = 48+8 = 56 m²

Is graphite all of the following?

Pure substance
Element
Compound
And Molecule

Pls help asap

Answers

Answer: Yes!

Step-by-step explanation:

Yes, graphite is composed of 100%carbon. With this, can we say that graphite is an element or compound of carbon? Compound is composed of two or more elements combined in a substance in definite proportions, in the form of molecules held together by chemical bonds.

Which expression is the same as (2 x 7) x 3 ?

Answers

Answer:

[tex]42x^{2}[/tex]

HELP QUICK ILL GIVE TOU BRAINLIEST
find the surface area...

Answers

Answer: 483.09 in^2
Explanation: 12, 11, 10, 12

Can you help me please with this

Answers

-39/100 is the answer according to me ..

Plz mark me as brainliest if u found it helpful


Solve for x:
3x – 2(6 - x) = 7x + 2(5 + x) – 6

Answers

Answer:

-4

Step-by-step explanation:

3x-2(6-x)=7x+2(5+x)-6

First, distribute.

3x+ −12+ 2x = 7x + 10 + 2x −6

Combine like terms on each side.

5x − 12= 9x + 4

To solve for x, pick a side to solve. I will solve the right x.

5x - 12 = 9x + 4

-5x         -5x

-12 = 4x + 4

Subtract 4 to isolate the variable.

-16 = 4x

Divide 4.

-4 = x

Find the inverse of the following function. g(x) = 1/x - 2

plz show work

A.) g^-1(x) = - 2/x-1

B.) g^-1(x) = 2/x-1

C.)g^-1(x) = 1/x+ 2

D.) g^-1(x) = 2/x+1

Answers

Answer: C. g^(-1) (x)= 1/(x+ 2)

Step-by-step explanation:

y=1/x-2

x=1/y-2

1/y-2=x

1/y=x+2

1=(x+2)y

1=xy+2y

xy+2y=1

(x+2)y=1

y=1/(x+2)

answer: g^(-1) (x)= 1/(x+ 2)

how do i write 0.87 in words​

Answers

zero pint eight seven ......

zero point eight seven

how much is 1/2÷8×57÷13+15

Answers

Answer:

Use the BODMAS method and at the end work the fraction left by adding it to 15

My answer was 15.274

Use the following information to answer the question. Bellei Extravecchio Balsamico Tradizionale is a very expensive brand of balsamic vinegar. A twelve ounce bottle typically costs two-hundred dollars or more. In a blind taste test, a group of food experts tasted three premium balsamic vinegars, with the most expensive one being Bellei Extravecchio Balsamico Tradizionale. When asked to pick the most expensive balsamic vinegar, 92 got it right and 76 got it wrong. Calculate the observed value of the chi-square statistic. Round to the nearest hundredth.

Answers

Answer:

The observed value of the chi-square statistic is 34.71

Step-by-step explanation:

Given the data in the question';

Calculate the observed value of the chi-square statistic

The chi-square statistic will be;

∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ]

here O[tex]_{i}[/tex] is observed frequency of [tex]_{i}[/tex]th class

E[tex]_{i}[/tex] is expected frequency of [tex]_{i}[/tex]th class

[tex]_{i}[/tex]  = 1, 2 which denote the class of food experts who guess correctly and who didn't guess correctly

so  

∈[tex]_{i}[/tex] = n × probability of not guessing correctly = 168 × 2/3 = 112

∈1 = n × probability of guessing correctly 168 × 1/3  = 56

so

∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ] = [ ( 92 - 56)² / 56 ] + [ ( 76 - 112)² / 112 ]

= 1296/56 + 1296/112

= 23.14 + 11.57

= 34.71

Therefore, the observed value of the chi-square statistic is 34.71

3. A data set that consists of 50 numbers has a minimum value of 16 and a maximum value of 74. Determine the class boundaries using the 2k >n rule if the data are a. Discrete b. Continuous3. A data set that consists of 50 numbers has a minimum value of 16 and a maximum value of 74. Determine the class boundaries using the 2k >n rule if the data are a. Discrete b. Continuous

Answers

Answer:

discrete, the class boundaries are;

16 - 25

26 - 35

36 - 45

46 - 55

56 - 65

66 = 75

continuous, the class boundaries are;

16 to less than 26

26 to less than 36

36 to less than 46

46 to less than 56

56 to less than 66

66 to less than 76

Step-by-step explanation:

Given that;

Range of the dataset = maximum value - minimum value = 74 - 16 = 58

total number of data set n = 50

Rule : [tex]2^{k}[/tex] ≥ n

substitute value of n

[tex]2^{k}[/tex] ≥ 50

k × log(2) = log( 50 )

k × 0.3010 = 1.69897

k = 1.69897 / 0.3010

k = 5.64

Hence, we have a total of 6 number of classes needed to be constructed.

so,

class width = 74 - 16 / 6 = 58 / 6 = 9.67

If the Data is discrete, the class boundaries are;

16 - 25

26 - 35

36 - 45

46 - 55

56 - 65

66 = 75

If the Data is continuous, the class boundaries are;

16 to less than 26

26 to less than 36

36 to less than 46

46 to less than 56

56 to less than 66

66 to less than 76

Ricardo works as a real estate agent. he earns 6% commission for every how he sells. last month, Ricardo sold two homes. One sold for $135,000 and the other sold for $160,000. how much did Ricardo earn by selling these two homes?

Answers

Add the two houses together:

135000 + 160000 = 295,000

Multiply the total by the percentage:

295,000 x 0.06 = $17,700

He earned $17,700

describe and correct the error in writing an equation of the line with a slope of 2 and a y intercept of 7

Answers

Answer:

An equation of the line with a slope of 2 and a is inercept of 7

Step-by-step explanation:

I think this is what you are saying?

7. Mangoes are sold at 5 for $4.00 and oranges are sold at 3 for $10.50. Mother bought 8
mangoen and 7 oranges. How much did she pay in all for the Items?

working ​

Answers

Answer:

hi  hahahah

Step-by-step explanation:

First calculate the individual cost for each item

Mangoes: $4 / 5 = .8$

Oranges: $10.5 / 3 = $3.5

Now multiple the individual cost by the amount of each item that was bought

Mangoes: 8 x .8 = $6.4

Oranges: 7 x 3.5 = $24.5

Total cost = $30.90

Keith buys 6 pencils for 90p how much would 11 pencils cost

Answers

Answer:

keith buy 11 pencils at the cost of 165 paise

Step-by-step explanation:

6 pencils cost = 90 paise

so 1 pencil cost = 15 paise

I'm pretty sure 165 p

How heavy is a 225 meter cable if a 3 meter section weighs 1.3 kg?

Answers

97.5 kg

225/3=75
75 x 1.3 = 97.5

Many newspapers carry a certain puzzle in which the reader must unscramble to form words. how many ways can the letters LEZBA be arranged?

Answers

Once? Blaze (I think?!?)

What is 5/9 of 18? I need it for my homework.

Answers

Answer:  10

Step-by-step explanation:  

(5 x 18) / 9 = 90/9 = 10

Answer:

Step-by-step explanation:

Find the vertex and focus of the parabola.
y^2 - 12y + 4x + 4 = 0​

Answers

Not really sure but 4 and the other - and the 0 so yes.

Answer:

Vertex: (8,6) Focus (7,6)

Step-by-step explanation:

32/4=8

Half of 12=6

Write the percent as a fraction in simplest form.
36% =

Answers

Answer:

36%= 9/25 in fraction form (:

Answer:

36/100 sorry if wrong

Step-by-step explanation:


[tex] \sqrt{361} [/tex]


Answers

Answer:

19

Step-by-step explanation:

Answer:

19

Step by step explanation:

Please solve -6+7x=50

Answers

Answer:

x = 8

Step-by-step explanation:

Let's solve your equation step-by-step.

−6+7x=50

Step 1: Simplify both sides of the equation.

7x−6=50

Step 2: Add 6 to both sides.

7x−6+6=50+6

7x=56

Step 3: Divide both sides by 7.

7x/7 = 56/7

x=8

have a wonderful day

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