PLEASE HELP ME A soccer field is bordered on three sides by a parking lot of width x. The total length of the field and parking lot is 300 m, and the total width is 200 m.
The area of the field is 30.000 m². How wide is the parking lot?

Answers

Answer 1

Answer:

Step-by-step explanation:

Assuming the parking lot is along both widths of the field and only once along the length:

 

the length is (300 - 2x)

the width is (200 -x)

the area is (300-2x)(200-x) = 30000

         60000 -300x - 400x +2x^2 = 30000

        2x^2 -700x + 30000 = 0

         x^2 - 350x + 15000 = 0

          (x    -   300    )(x   -    50    ) = 0

             x = 300 or x=50

x=300 results in negative measures.

the parking lot is x=50 wide

the length of the field is 200, the width of the field is 150


Related Questions

Joley is opening her first checking account as a teenager. She doesn't have a job, so most of the income will be presents from birthdays and holidays. Bank A has a $8 monthly charge. Bank B charges 2% of the balance. Which account balance below will result in bank B being a better financial choice?

Answers

Answer:

the answer is A !

Step-by-step explanation:

If anyone can help :)

Answers

Answer:

irrational

Step-by-step explanation:

reason

[tex] - \frac{5}{52} [/tex]

Suppose that the path of a newly discovered comet could be modeled by using one branch of the equation x2/4 - y2/9=1, where distances are measured in astronomical units. Name the vertices of the hyperbola and then graph the hyperbola.

Answers

Answer:

the answer is A just tool the quiz lesson 5 hyperbolas Algebra 2B unit 5 these are the correct answers

1.A

2.B

3.D

4.A

5.B

6.D

7.A

hopes this helps everyone

The hyperbola has two vertices at (-2,0) and (2,0)

We have given that the equation

[tex]\frac{x^2}{4}-\frac{y^2}{9}=1[/tex]

What is the equation of the hyperbola?

[tex]\frac{x^{2} }{a^2}+\frac{y^2}{b^2} =1[/tex]

Compare the above equation of the hyperbola with given equation

therefore a=2

vertices are (-a,0) and (a,0)

Therefore the vertices are (-2,0) and (2,0)

See the graph of the hyperbola in link given below.

The hyperbola has two vertices at (-2,0) and (2,0)

To learn more about hyperbola visit:

https://brainly.com/question/2351925

What is the constant change for the table ?

Answers

Answer:

$9 per 1 item

Step-by-step explanation:

Answer:

$9 per 1 item

Step-by-step explanation:

HELP HELP HELP HELP, PLEASE QUICKLY

Answers

Step-by-step explanation:

so easy hahahahahah you are just a beginner

HELP ME PLEASEEE!!!!
don’t use for points or i’ll report and get ur info.

Answers

-6
-15
Llgsotsoyeitsiysiits
started at 0°C and moved down 3° at a constant rate!! i hope this helped!

Suppose you are given the function f(x) = 7x and asked for f(-6). This is the same as asking for the value of the function at x = ?

Answers

Answer:

the correct answer is -6

Find the area of the trapezoid.
12.5 cm
6 cm
17.5 cm
A. 90 cm2
B. 118.75 cm2
C. 130 cm2
D. 146.25 cm2

Answers

Answer: A.90 cm^2

Step-by-step explanation: A= a+b/2 h

A= 17.5+12.5/2 *6

A = 30/2*6

A= 15*6

A=90

The conversion of stored potential energy into kinetic energy can also be harnessed to power homes, factories and entire cities. Which example from the text supports this conclusion?
A the softball pitcher
B the slingshotting comet
C the archer
D the Hoover Dam
NO BOTS or SCAM PLS

Answers

I believe it would be the Hover dam because the question talks about powering homes and factories in which the hover dam dose.

Scotty buys 12 cans of Pepsi for $6. At this rate, how much would he pay for 48
cans of Pepsi.

Answers

Answer:

24 cans.

Step-by-step explanation:

6$ for each 12 cans, 12x4=48, so 6x4=24.

Answer:

$24

Step-by-step explanation:

Hope this helped you!

The following graph shows a proportional relationship
What is the constant of proportionality between y and z in the graph?
y
6
5-
4
3+
2+
1+
6
Constant of proportionality=

Answers

Answer:

The constant of proportionality between 'y' and 'x' in the graph is 0.75

Step-by-step explanation:

The constant of proportionality is the constant ratio between two quantities that are directly proportional.

When two quantities are directly proportional, then a percentage increase in one of the quantities will result in an equal percentage increase in the other quantity, and the two quantities are therefore, increasing at the same rate to each other

From the graph we have;

When x = 0, y = 0, all graphs of directly proportional relationships have  x = 0 when y = 0

However;

When x = 2, y = 1.5

When there is an 100% increase, we have;

When x = 2 + 100/100 ×2 = 4, y = 1.5 + + 100/100 ×1.5 =3

Therefore, when x = 4, y = 3

The constant of proportionality = The ratio between each 'y' and 'x' value

∴ The constant of proportionality = y/x = 1.5/2 = 3/4 = 0.75

Therefore;

The constant of proportionality between 'y' and 'x' in the graph = 0.75.

Jesse sent an email to 4 people for a school project. In her email, she requested
that each person copy and send the same email to 4 additional people.
If everyone continues to send the email as requested, which equation could be
used to determine the number of emails, y, that will be sent for a given round, x?
M. y = x^4
P.y = 4^x
R. y = 4x
a. y= 4/x

Answers

Answer:

P.y = [tex]4^{x}[/tex]

Step-by-step explanation:

From the given question, since Jesse sends the email to 4 people and the 4 people rebroadcast it to another 4 persons each. And this process continues for a required or given round x, then this is an example of an exponential function.

Thus, the number of emails sent for a given round can be expressed as;

                    y = [tex]4^{x}[/tex]

Therefore, the appropriate answer is y = [tex]4^{x}[/tex].

So that for four rounds (x = 4), the number of emails sent can be determined as;

y = [tex]4^{x}[/tex]

  = [tex]4^{4}[/tex]

y = 256

Answer: y=4^x

Step-by-step explanation:

Exponential growth

Y=ab^x

What is the slope of the line that passes through the points (26, 7) and (-39, 12)?

Answers

Answer:

A, -1/13

Step-by-step explanation:

slope = rise / run

(12-7)/(39-12)

5/-65

simplify: 1/-13

Please help! The answer to this is 2 but I don't know how to actually solve it so can someone please show the work for this?
log₇49

Answers

Answer:

2

Step-by-step explanation:

basically logarithms are like reverse exponents

log7, 49 is basically asking 7 to the what gets you 49

because of that its 2 because 7^2 gets you 49

Answer:    2

========================================================

Explanation:

Recall that any exponential equation of the form [tex]b^x = y[/tex] can be written into its equivalent log form of [tex]\log_{b}(y) = x[/tex]. Note how in both cases, 'b' is the base. For the exponential equation, x is buried in the exponent and y is free on its own. In the log equation, we have y buried in the log and x is free or isolated on its own.

In your case, we have b = 7 and y = 49. This means [tex]\log_{7}(49) = x[/tex] is the same as [tex]7^x = 49[/tex] when converting from log form to exponential form. Then we can rewrite that 49 into 7^2 to get [tex]7^x = 7^2[/tex]. The bases are both 7, so the exponents must be the same as well. Therefore, x = 2.

-------------------

We could follow a different approach. We could apply the change of base formula. The change of base formula is

[tex]\log_{b}(x) = \frac{\log(x)}{\log(b)}[/tex]

On the left side, we have log base b; however, on the right side, the log can be any base we want. Oftentimes it's handy to go with base 10, though again it doesn't matter the base on the right hand side logs.

So we would then say...

[tex]\log_{b}(x) = \frac{\log(x)}{\log(b)}\\\\\log_{7}(49) = \frac{\log(49)}{\log(7)}\\\\\log_{7}(49) = \frac{1.69019608002851}{0.84509804001426}\\\\\log_{7}(49) = 1.99999999999999\\\\[/tex]

Due to rounding error, we don't land exactly on 2 as expected. However, we get close enough.

kristin drove to her friend's house and back. on the trip there she drove 40 km/h and on the return trip she went 50 km/h. how long did the trip there take if the return trip took four hours?

Answers

Answer:

50km/he=4hr

40km/he=?

40*4/50

=3hr12min

4hr+3hr 12min

=7hr12min

Two angles are supplementary. One angle is 50° more than the other. Find the measure of the two angles.​

Answers

Answer: If one of these angles measures 50 degrees more than the other, find the measure of the smaller angle. A+A+50=180 Subtract 50 from each side. A=65 degrees ANSWER The smaller angle is 65 degrees.

Step-by-step explanation:  

Answer:

130°

Step-by-step explanation:

the other angle is 130°

Sheet metal costs $1.88 per square foot. About how much
will Nick spend to cover the outside of the shed, not
including the bottom?

Answers

Answer:

Final Cost: $364.72

Step-by-step explanation:

We can see a picture of the shed attached below. To find the total cost we need to first find the surface area of the entire shed. The sides are rectangles, so to find the surface area we need to multiply the length by the width. Since there are two rectangular sides we multiply the result by 2.

A = L * W

A = 10 * 4.7

A = 47 sq ft. * 2sides

Total = 94 sq ft.

Now we calculate the bottom which is also a rectangle

A = L * W

A = 10 * 8

A = 80sq ft.

Now we need to calculate the surface area of the triangular sides and multiply the results by 2 since there are two triangular sides. The formula for the area of a triangle is half times base times height...

A = 0.5 * B * H

A = 0.5 * 8 * 2.5

A = 10 sq ft  * 2 sides

Total = 20 sq ft

Finally, we need to add the entire surface area and multiply by the cost per square foot to find the total cost.

94 + 20 + 80 = 194 sq ft

194* 1.88 = $364.72

The cost of painting a circular traffic sign is $3.50 per square foot. How much, to the nearest dollar, will it cost to paint the sign if its diameter measures 36 inches?

Answers

Answer:

The answer is $25

Explanation:

area of a circle = pi x r^2

using 3.14 for pi

radius = 36/2 =18

area = 3.14 x 18^2 = 1017.36 square inches

1 sq ft = 144"

1017.36/144 = 7.065 sq ft

7.065*3.50 = $24.73 to the nearest dollar = $25

Nic sells advertising packages for a radio station. The company pays him $150 per week and they also pay him $75 for every package he sells. His friend Asia works for the same radio station but she receives a salary only, which is $1,275 per week. How many packages does Nic need to sell in a week to earn as much as Asia?

Answers are:
A) 14
B) 15
C)16
D)20

Answers

I believe the answer would be 15, because Nic makes a base of $150 per week, so you would do the base $150+75=225 and keep going until you get 1275. The # of packages Nic would need to sell to reach Asia’s weekly pay is 15.

Jaquol is making a recipe that uses 2 cups of sugar for every 3 cups of flour. If he uses a total of 40 cups of these ingredients, how many cups of sugar were
required?

Answers

Answer:

16 cups of sugar

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

So our ratio here is 2:3. Here's what we're gonna do:

2 + 3 = 5 for every time he makes the recipe

40 / 5 = 8

To double check:

2 x 8 = 16

3 x 8 = 24

16 + 24 = 40

Which equation could be used to solve the question below?

Scott collected p pins at the parade. He collected 16 pins at the fair and 13 pins at camp. Now, he has 62 pins. How many pins did Scott collect at the parade?
A.
p - 16 + 13 = 62
B.
p + 16 + 13 = 62
C.
p - 16 - 13 = 62
D.
p + 16 - 13 = 62

Answers

Answer:

B

Step-by-step explanation:

62 pins in total = 16 pins at the fair + 13 pins at camp + x pins collected in the parade

Can I Sign in for free I'm a student so I don't know how to log in please help me I would appreciate your service thank you!

Answers

Answer:

you have to create an account which should be pretty easy to find and just use your personal email!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation

You are signed in right now????

232.7449 rounded to the nearest whole number? please help​

Answers

Answer:

233

Step-by-step explanation:

Look at the tenths place. It is above 5 so you round to 233,

Answer:

233

Step-by-step explanation:

Simple, 7 is closer to 10 than 0, round up to 233.

The jogging track is 5/9 of a mile long. If Ashley jogged around it 4 times, how far did she run? A.4/9 B.20/9 C.9/4 D. 4 5/9

Answers

Answer:

I think it's B

Answer:

track is 5/9 of a mile long.....she jogged around it 4 times

Step-by-step explanation:

so Ashley ran ( 5/9 * 4) = 20/9 miles <==

SIMPLE QUESTION!!! ILL MARK BRAINLIEST

Answers

Answer:

-2asmall2 + 4a - 8

Step-by-step explanation:

Help me plz due in a little bit

Answers

Answer: vertical & x = 25

75 = 4x - 25

100 = 4x

x = 25

What is the value of z? Plz help

Answers

Answer: 24

Step-by-step explanation: 58 = 2z - 10

58 - 10 = 48 = 2z

z = 24

Given that sec0=-37/12, what is the value of cot0, for pi/2<0

Answers

Answer:

2nd option

Step-by-step explanation:

Using the identities

tan²θ + 1 = sec²θ

cotθ = [tex]\frac{1}{tan0}[/tex]

Given

secθ = - [tex]\frac{37}{12}[/tex] , then

tan²θ + 1 = (- [tex]\frac{37}{12}[/tex] )² = [tex]\frac{1369}{144}[/tex] ( subtract 1 from both sides )

tan²θ = [tex]\frac{1225}{144}[/tex] ( take the square root of both sides )

Since [tex]\frac{\pi }{2}[/tex] < θ < π and tanθ < 0 , then

tanθ = - [tex]\frac{35}{12}[/tex]

Then

cotθ = [tex]\frac{1}{-\frac{35}{12} }[/tex] = - [tex]\frac{12}{35}[/tex]

Help me with this problem please please:):)

Answers

I believe it is 12.5 :)

PLEASE HELP I DONT KNOW WHAT THE ANSWER IS

Answers

Answer:

P = 8x + 4

Step-by-step explanation:

P = 2(l + w)

P = 2(5 + 4x - 3)

P = 2(4x + 2)

P = 8x + 4

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