A new youth sports center is being built in a safe harbor. The perimeter of the rectangular playing field is 510 yards. The length is the field is 5 yards less than quadruple the width. What are the dimensions of the plying field?

Answers

Answer 1

Answer:

L=203 yardsW=52 yards

Step-by-step explanation:

Step one:

given data

perimeter= 510 yards

let the width be x, width=x

length= (4x-5)-----quadruple mean 4 times

Step two:

the expression for perimeter is

P=2L+2W

510=2(4x-5)+2x

510=8x-10+2x

510+10=8x+2x

520=10x

divide both sides by 10

x=520/10

x=52

the width is 52 yards

the lenght is  (4x-5)

L=4(52)-5

L=208-5

L=203 yards


Related Questions

4x-3=2x+7 solve the equation

Answers

Answer:

First collect like terms

4x-2x=7+3

6x=10

x=10/6

x=1.66666666667

x=1.67

Step-by-step explanation:

Please give me brainliest

Answer:
x=1.67


Explanation:
I NEED POINTS!!!

Will give brainiest for the correct answer! please!

Answers

Answer:

A

Step-by-step explanation:

it's has 1 sulotion hope this helps

............A.........................

Please answer this question :)

Answers

answer: 2.663043987
explanation: use calculator

Please answer will give brainliest. Also, please check my other questions out I need help!!

Answers

Answer: C

Step-by-step explanation:

. In 2000, the population of Dallas was 1,188,580. Round that number
to the nearest hundred thousand.
b. Round 3.14159 to four decimal places.
. The price of regular unleaded gasoline was $2.19 Round that price
to the nearest cent.
d. ESTIMATE Estimate the height of the ceiling in your classroom in
meters and in feet.
.. Estimate the sum of 3879 and 5276.
1. Estimate the product of 121 and 9.75 by rounding each number to the
nearest whole number before multiplying.
D. EVALUATE Gus works 39 hours for $9.85 per hour. He calculates that
his weekly paycheck should be $38,415. What is a reasonable
estimate of what Gus earns? How do you suppose Gus arrived at his
calculation?
h. A rectangular room is 11 feet long and 10 feet wide. Grace
calculated the area to be about 124 square feet. Explain why her
calculation is or is not reasonable.
1. It is 6:05 p.m, and Eduardo is driving to Dallas. If he is 157 miles away
and driving at an average speed of 62 miles per hour, is it reasonable
that he can reach Dallas by 9:00 p.m.? Explain your answer.

Answers

Answer:

please forgive me I have no clue

Step-by-step explanation:

3g - 5 = 17
Help plz

Answers

Answer:

g = 7 1/3

Step-by-step explanation:

Add 5 to both sides so it cancels out. 3g = 22Divide both sides by 3. g = 7.333...

7.333... and 7 1/3 are equivalent, so just put either one.

9 A book publishing company selected 30 out of 50 books submitted for publishing.
What decimal is equivalent to the fraction of books selected for publishing?

Answers

Answer:

Step-by-step explanation:

30/50= 3/5= 0.6

A pair of linear equations is shown:

y = −2x + 3
y = −4x − 1

Which of the following statements best explains the steps to solve the pair of equations graphically?

Graph the first equation, which has slope = 3 and y-intercept = −2, graph the second equation, which has slope = −1 and y-intercept = −4, and find the point of intersection of the two lines.
Graph the first equation, which has slope = −3 and y-intercept = 2, graph the second equation, which has slope = 1 and y-intercept = 4, and find the point of intersection of the two lines.
Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines.
Graph the first equation, which has slope = 2 and y-intercept = −3, graph the second equation, which has slope = 4 and y-intercept = 1, and find the point of intersection of the two lines.

Answers

Answer:

C

Step-by-step explanation:

I DID THE TEST

The required explanation which is best for the solution of the given equation is option C.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

We are Given a system of equations,

y = −2x + 3                 (1)

y = −4x − 1                   (2)

The slope of equation 1

m = -2 and y-intercept  = 3

Also The slope of equation 2

m = -4 and the y-intercept = -1

So, From option that matched the calculation

Therefore, "Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines."

Thus, the explanation that is best for the solution is given by Option C

Learn more about simplification here:

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Luis le dice a su amiga: "Yo tengo ahora el triple de edad que tú tenías, cuando yo tenía la edad que tú tienes ahora". Si entre los dos suman 50 años, ¿cuántos tiene cada uno?

Answers

Answer:

Luis tiene 30 años de edad y su amiga tiene 20 años edad.

Step-by-step explanation:

Cuando Luis tenia 20 años de edad (hace 10 años), su amiga tenia solamente 10 años de edad. Si multiplicamos 10 x 3 nos da como resultado 30, que es la edad actual de Luis.

L + A = 50

3(A - x) = L

L = 50 - A

3A - 3x = 50 - A

4A = 50 + 3x

en este punto podemos probar diferentes alternativas para x:

x = 5, entonces 4A = 50 + 15

A = 16.25 no es factible porque estamos buscando numeros enteros

x = 6, entonces 4A = 50 + 18

A = 17

al reemplazar, nos da una edad de 3(17 - 5) = 36 para Luis, pero 36 + 17 = 53

x = 8, entonces 4A = 50 + 24

A = 18.5 no es factible porque estamos buscando numeros enteros

x = 10, entocnes 4A = 50 + 30

A = 20

al reemplazar, nos da una edad de 3(20 - 10) = 30 para Luis, y 30 + 20 = 50

The population of a city increases by 5% every year. If its population today is 300,000, what will its population be
in 2 years?

Answers

Answer:

330,750 people

Step-by-step explanation:

If the population increases by 5% every year, in 2 years the population of the city will be 330,750 people. D is also the correct answer as shown in the file.

Population after 2 year is 330,750

Growth rate problem:

Given that;

Growth rate = 5% = 0.05

Current population = 300,000

Find:

Population after 2 year

Computation:

Population after 2 year = 300,000(1 + 0.05)²

Population after 2 year = 300,000(1.05)²

Population after 2 year = 330,750

Find out more information about 'Growth rate'.

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Find the distance between the points (–1∕2,–8) and (–1∕2,–2). Question 13 options: A) 8 B) 10 C) 1∕2 D) 6

Answers

Answer:

D) 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-1/2, -8)

Point (-1/2, -2)

Step 2: Find distance d

Substitute:                    [tex]d = \sqrt{(-1/2+1/2)^2+(-2+8)^2}[/tex]Add:                              [tex]d = \sqrt{(0)^2+(6)^2}[/tex]Exponents:                   [tex]d = \sqrt{0+36}[/tex]Add:                              [tex]d = \sqrt{36}[/tex]Evaluate:                       [tex]d = 6[/tex]

Use the substitution method to solve the system of equations. Choose th correct ordered pair. y = 8x - 4 x = 4 A. (2. 12) OB. (4, 28) C. (4, 4) D. (2.4)

Answers

9514 1404 393

Answer:

  B.  (4, 28)

Step-by-step explanation:

Substitute the value of x into the first equation. This gives you the value of y.

y = 8x -4x = 4

After substitution, we have ...

  y = 8(4) -4

  y = 28

Then the point is (x, y) = (4, 28).

When asked to write the domain for the equation y= |x - 6| + 3, Mary wrote the Domain is y < 3. What mistake(s) did Mary make? Write the correct domain for Mary using inequality notation. Explain to Mary how you found your answer.

Answers

Answer:

Ok, the domain is the set of values that we can input in a function.

In this case, we have:

y = Ix - 6I + 3.

Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.

The correct domain is x, x ∈ R

Now, if we had (for example) something like:

y = Ix - 6I < 3

Now we have a restriction in the domain because we can not have y equal or larger than 3.

To find the domain, we can break the absolute value:

Ix - 6I < 3

is equivalent to:

-3 < x - 6 < 3

now let's add 6 in each side.

-3 + 6 < x - 6 + 6 < 3 + 6

3 < x < 9

That will be the domain in that case.

What is the solution to this system of linear equations?

y − x = 6

y + x = −10

A. (−2, −8)
B. (−8, −2)
C. (6, −10)
D. (−10, 6)

Thank you if you can help me!

Answers

It’s B
If y-x=6
Y +X =_10
then y= 6 + x, instead of y insert this no
6+ x+ x =-10
6 + 2x =-10 then collect like terms
2x =-10-6
2x=-16 then multiple both side by 1/2
X=-8
Y=6+x instead of x insert -8
Y=6-8
=-2

What is the quotient of -3/8 And -1/3?​

Answers

Answer:

Actually, I didn't get your question, is it -3/8÷ -1/3 or -1/3÷ -3/8?

If it is -3/8÷ -1/3, the answer will be 9/8

But if is -1/3÷ -3/8, the answer will be 8/9

Step-by-step explanation:

-3/8÷ -1/3

= -3/8× 3/-1

= -9/-8

= 9/8

If your question is -1/3÷ -3/8, the answer is 8/9 in the same way.

PLEASE HELP ILL GIVE BRAINLIEST!!!!

Answers

Answer:

The first one is x=45

The second one is w=14

The third one is x=6

Step-by-step explanation:

Which value of w below is the solution to this equation ANWSER - C. 14 I think

Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sydney played and the number of rides Sydney went on

Answers

Answer:

8 rides and 5 games

Step-by-step explanation:

2.25x+1.25y=24.25      2.25(8)+1.25(5)=24.25         18+6.25=24.25

A computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment. Which of these represents a linear function that models the charge for hiring the technician for x hours?
A y = 55x + 190
B y = 55x + 45
C y = 45x + 190
D y = 45x + 55

Answers

Answer:

D. y = 45x + 55

Step-by-step explanation:

If a computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment, we can say that;

when c1 = $190, t1 = 3

when c2 = $370, t2 = 7

c is the amount charged

t is the time taken

First thug is to get the slope;

slope = c2-c1/t2-t1

slope = 370-190/7-3

slope = 180/4

slope = 45

Next is to get the intercept by substituting m = 45 and (190, 3) into the standard form of the equation y = mx+c as shown;

190 = 45(3)+c

190 = 135+c

c = 190-135

c = 55

Substitute into the standard form of the equation;

y = mx+c

y = 45x + 55

Hence option D is correct

Select steps that could be used to solve the equation 1 + 3x = -x + 4.

A.subtract 1, add x, divide by 4
B.add x, subtract 4, divide by 4
C.add x, subtract 1, divide by 4
D.subtract 3x, subtract 4, divide by -4
E.subtract 3x, subtract 4, divide by 4

(More than one answer)

Answers

Answer:

A, C & D

Step-by-step explanation:

A) 1 + 3x = -x + 4  {subtract 1}

  1 + 3x -1 = -x + 4 - 1

       3x     = -x + 3         {add x}

     3x + x = -x + 3 + x

        4x    = 3       {Divide by 4}

       4x/x = 3/4

x = 3/4

C) 1 + 3x = -x +4            {Add x}

  1+ 3x + x = - x +4 + x      

   1 + 4x  = 4    {subtract 1}

        4x = 4 - 1

        4x = 3   {Divide by 4}

D) 1 + 3x = -x + 4        { Subtract 3x}

         1    = -x + 4 -3x

         1 = -4x + 4          Subtract 4}

      1 - 4 = -4x

        -3 = -4x              {Divide by -4}

       -3/-4 = x

x = 3/4  

          x = 3/4

9 3/4 as a percent step by step

Answers

Answer:

9 3/4 in a percent is 975%.

If you change 9 3/4 into a decimal, it will be 9.75, and 9.75 converted into a percent is 975%

Karim wants the shed to be at least 4 feet wide. Now what are the possible
whole number side lengths for the shed that will cover an area of 36 square
feet?

Answers

Answer:

9

Step-by-step explanation:

because area = length times with so it also means area divided by with with = length

Simplify this fraction (multi choice)

Answers

When you divide by numbers with the same base, the exponents subtract
1/5 - 3/5 = -2/5 as exponent
It would be 7^-2/5
The third response is correct

Due to unexpected circumstances, you take out a loan for $5,000 to pay for a lawyer. You agree to pay it back over the next 5 years at a rate of 22.5% (because your credit score is really really low). At the end of the 5 years, how much did this "unexpected circumstance" end up costing you in all?

Answers

P=$5000
R=22.5
T=5yrs
I=PxRxT= 5000x22.5x5=50x22.5=1125x5=5625
———= ———————
100 =. 100
The answer is $5625

The figure is cut into 6 equal pieces. shade 2/3 of the figure

Answers

Answer:

you need to shade 4/6

Step-by-step explanation:

help i’ll give brainliest if it’s right

Answers

Answer:

C

Step-by-step explanation:

I believe it is C as well

If Tina rode her bike at a constant rate for the first three hours, what was Tina's average calories burned, in calories per hour, between hour 0 and hour 3?

Answers

Answer: 400 calories per hour

Step-by-step explanation:

Q: Tina recorded the number of calories she burned during a bike ride. The graph shows Tina’s calories burned, y, after x hours. If Tina rode her bike at a constant rate for the first three hours, what was Tina’s average calories burned, in calories per hour, between hour 0 and hour 3?

Expalanation: It is seen from the graph that her rate of burning calories increased to 1200 in the first three hours of riding and then remained constant for the rest of the period (2 extra hours).

Her rate of calorie use therefore would be given as: (total calorie used up) / (total hours spent riding for the period of usage)

This is given as: 1200 calories / 3 hours = 400 calories per hour.

PLEASE HELP!!!!


Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11|.

Answers

A function assigns the value of each element of one set to the other specific element of another set. The function g(x) which is reflection of f(x) will be g(x)=−3+|x+11|.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The given function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11| will be g(x)=−3+|x+11|. This is because if the function is reflected on the y-axis then the result of the reflected function will be the same but the result will be 11 units late, 11 units because it is the critical point of the absolute value.

Hence, the function g(x) which is refelction of f(x) will be g(x)=−3+|x+11|.

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White any four rational numbers having the denominator 2 or power of
2. then express them in decimals. Are the decimals always terminating?
While the remarks of your investigation.​

Answers

9514 1404 393

Answer:

1/2 = 0.53/16 = 0.18755/64 = 0.0781257/2048 = 0.00341796875yes

Step-by-step explanation:

A terminating decimal has an equivalent denominator that is a power of 10. That is, it is the product of a power of 2 and a power of 5.

Any fraction that has a denominator that is a power of 2 can be expressed as an equivalent fraction with a power of 10 as the denominator.

Example:

  [tex]\dfrac{7}{2048}=\dfrac{7}{2^{11}}=\dfrac{7\cdot5^{11}}{2^{11}\cdot5^{11}}=\dfrac{7\cdot5^{11}}{10^{11}}=0.00341796875[/tex]

hope this helps.enjoy!!!!!!

choose the graph that represents the point on the coordinate plane. P (0,8)​

Answers

Note: You missed to add the diagram. After a little research, I found the diagram.

Hence, I am solving the question based on the attached diagram.

Answer:

option C is the right graph that represents the point P(0, 8) on the coordinate plane.

Step-by-step explanation:

The assumed diagram is attached below.

From the diagram, it is clear that:

Graph A represents the point P at the location (8, 8).Graph B represents the point P at the location (8, 0).Graph D represents the point P at the location (8, 1).

But, if we closely observe the graph C  on the diagram below, we can validate that graph C is clearly indicating that the point P is located at the location (0, 8).

Hence, option C is the right graph that represents the point P(0, 8) on the coordinate plane.

if n represents a number, write an expression that represents a number that is 5 less than n.

Answers

n-5

less than implies subtraction after the variable

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