My rectangular soccer field site has a length equal to three times its width. find its area in terms of its length x.

Answers

Answer 1
A rectangle with dimensions:

length = a units, and width= b units, has area: [tex]Area=a \cdot b=ab[/tex] (units squared)

In the rectangular soccer field, the length is x units, which may be meters, feet etc. 

and the length is 3 times the width, so the width is just one third of the length, that is width= x/3  

[tex]Area_{field}=width \cdot length= \frac{x}{3} \cdot x= \frac{ x^{2} }{3} [/tex]  square units



Answer: [tex]\frac{ x^{2} }{3} [/tex] square units


Related Questions

1/2(2d+6)=p solve for d

Answers

2d + 6 = 2p
2d = 2p - 6
d = (2p - 6)/2
d = p - 3

Hope this helps!

Which variable is most important to the following problem? At 9:00 a.m., a wind speed of 20 miles per hour was recorded. After that, the wind speed was recorded every hour. Each measurement showed an increase in wind speed of 3 miles per hour. The strongest wind was recorded at 4:00 p.m. After that, the wind speeds started to decrease. What was the top wind speed? A. the time of day the first measurement was made B. the miles-per-hour speed of the wind at its maximum point C. the number of hours it took for the wind speed to reach its minimum for the day

Answers

Final answer:

The most important variable to determine the top wind speed at 4:00 p.m. is B. the miles-per-hour speed of the wind at its maximum point. The calculation shows an initial speed of 20 mph at 9:00 a.m., with an increase of 3 mph each hour leading to a top speed of 41 mph at 4:00 p.m.

Explanation:

The variable most important to the problem of determining the top wind speed recorded is B. the miles-per-hour speed of the wind at its maximum point. To find the top speed, you can calculate the increase in wind speed from the initial measurement at 9:00 a.m. The wind was increasing by 3 miles per hour each hour until it reached its peak at 4:00 p.m.

Here is the calculation:    

Top wind speed = Initial speed + (Increase per hour × Number of hours)
Top wind speed = 20 mph + (3 mph/hour × 7 hours)
Top wind speed = 20 mph + 21 mph
Top wind speed = 41 mph

Joan works on commission

Answers

for a future store..

What is the scientific notation for 12,400,000?

Answers

1.24 x 10
hope i can help even though its late

James ran at a rate of 11.5 km per hour. What was james' speed in miles per hour? (NOT TO BE SOLVED. Needs to be an equation)

Answers

1km = 0.621371 miles

 so equation  is

total miles per hour = 11.5km * 0.621371

Real world equation that can be modeled by the equation y=1/20x

Answers

Nick has to pay 5 cents in tax (5%) for every dollar he spends buying pizza. How much money does he have to pay in tax? Since 5=1/20*100, that means that if x is the amount of dollars he spends buying pizza, he has to divide that by 20 to get 5% of that amount and therefore the amount of tax he has to pay

how many hours of training would you need to have a monthly pay of $2620

Answers

2620 /4 = 655 per week

 suppose you work 40 hours per week

655/40 = $16.38 per hour

that is a good pay, but training all depends on the actual job.

 some jobs don't require any training, some require 3 months or more.

 it also depends on your education

 

Is 0.245245245... a rational or irrational number?

Answers

It is Irrational because is can not be written as a fraction

The equation of a circle is x^2 + y^2 + Cx + Dy + E = 0. If the radius of the circle is decreased without changing the coordinates of the center point, how are coefficients C, D, and E affected?

A) C, D, and E are unchanged.

B) C increases, but D and E are unchanged.

C) C and D decrease, but E is unchanged.

D) C, D, and E increase.

E) C and D are unchanged, but E decreases.

Answers

x and y are the center point so since C and D are multiplied by x an y they would remain the same

E = the center points squared plus the radius squared.

 Since the radius is getting smaller E would also decrease


Answer is E

Hello,

Answer D:

The circle having (a,b) as center and R as radius has for equation:

(x-a)²+(y-b)²=R²
==>x²+y²-2ax-2by+a²+b²-R²=0

If R decreases then a²+b²-R² increases.

C and D are unchanged and E increases

Convert the following: 22km = ________m A. 0.022 B. 2.2 C. 22 D. 22,000

Answers

The answer is d. 22,000

1km = 1000 m

22*1000 = 22,000

 Answer is D. 22,000



Multiply.

(21)⋅(−7)

−147
−14
14
147

Answers

the correct answer is the first choice -147

Answer:

-147

Step-by-step explanation:

Help plz someone give me an answer

Answers

Greetings!

"Solve for x: [tex]7x-4+x=12[/tex]"...

Add like terms.
[tex]8x-4=12[/tex]
Add 4 to both sides.
[tex](8x-4)+4=(12)+4[/tex]
Simplify.
[tex]8x=16[/tex]
Divide both sides by 8.
[tex](8x)/8=(16)/8[/tex]
Simplify.
[tex]x=2[/tex]

The variable is equal to 2.

Hope this helps.
-Benjamin

Ysidra paints a room that has 400 square feet of wall space in 2 and a half hours. at this rate, how long will it take her to paint a room that has 720 square feet of wall space?

Answers

1 hour 10 minutes /////

The time taken to paint a room which has a wall space of 720 feet² is equal to [tex]4\frac{1}{2}[/tex] hours.

What is the unitary method ?

The unitary method is a method in which you find the value of one unit and then the value of required no. of units.

It is given that room is painted that has wall space of 400 feet². The time taken to paint this space is 2 and half hours.

So , the wall space painted per hour will be :

= 400 ÷ [tex]2\frac{1}{2}[/tex]

= 400 ÷ [tex]\frac{5}{2}[/tex]

= 400 × [tex]\frac{2}{5}[/tex]

= 160 square feet per hour

We have to find out the time taken to paint a room which has a wall space of 720 feet². So , this will be calculated by dividing 720 square feet wall space by the per hour painted wall space that is equal to:

= 720 / 160

= 4.5 hours

or

= [tex]4\frac{1}{2}[/tex] hours

Therefore , the time taken to paint a room which has a wall space of 720 feet² is equal to [tex]4\frac{1}{2}[/tex] hours.

Learn more about unitary methods here :

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What is 4h-3 expression factored

Answers

Greetings!

This is not factor-able.
-No Common Factors, other than "1"
-Not a difference in squares
-Can't group

You can factor:
1(4h-3)
But, this is useless.

Hope this helps.
-Benjamin

One of the factors of p^5 - 144p^3 is
A. P^3
B. P + 12
C. P - 12
D. All of the above

Answers

p^5 - 144p^3
= p^3(p^2 - 144)
= p^3(p + 12)(p - 12)

answer
D. All of the above
The answer would be (D) All of the above

The factors are below
p^3(p^2-144)
p^3(p-12)(p+12)

How many seconds are in 9 hours

Answers

1 h = 3600 sec
9 h = 3600 × 9 sec
9 h = 32400 sec
There are 32400 seconds in and hour. Hope this answered you question. 

Rick is setting up a model train track that is 5 and 3 over 5feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone pole every 4 over 5foot apart. How many telephone poles does he need? (Input number values only)

Answers

That would be 5 3/5 divided by 4/5

= 28/5 / 4/5

= 28/5 * 5/4 

= 7  telephone poles

Answer:

1/2

Step-by-step explanation: man i needa level up... its not right i just need points lol

3. Jocelyn needs to study two stars for her astronomy research. She has narrowed her choices down to four stars that are located on a straight line from earth. Star Distance from earth Star A 0.176 times 10 to the power of 18 km Star B 22.13 times 10 to the power of 16 km Star C 31.42 times 10 to the power of 14 km Star D 125.5 times 10 to the power of 15 km Jocelyn wants to study the two stars that are closest to each other. (a) Which two stars should she study? (b) What is the distance between the two stars? Show or explain your work.

Answers

A 0.176 times 10 to the power of 18 km =
A 176.0 times 10^15 km

B 22.13 times 10 to the power of 16 km =
2.213 x 10^15 km

C 31.42 times 10 to the power of 14 km =
3.142 x 10^15 km

D 125.5 times 10 to the power of 15 km

The recalculated list is now:
A 176.0 times 10^15 km

B 2.213 x 10^15 km

C 3.142 x 10^15 km

D 125.5 x 10^15 km

Just by looking, we can see the 2 stars closest to each other are
C 3.142 x 10^15 km and
B 2.213 x 10^15 km

The distance between them = 3.142 x 10^15 km -2.213 x 10^15 km
.929 x 10^15 km =
9.29 x 10^14 km



The perimeter of a rectangle is 50 centimeters. the length of the rectangle is one more than 3 times the width of the rectangle. what are the dimensions of the rectangle

Answers

Let's let w = width of the triangle. Let's also write the length in terms of w:
Length = 3w+1

The perimeter of the rectangle is 2l+2w=P

2(3w+1) + 2(w) = 50     [base equation]
6w+2+2w=50   [distribute the 2]
8w+2=50   [combine like terms]
8w=48   [subtract 2 from both sides]
w=6    [divide 8 from both sides]
Therefore, the width is 6 cm.
3(6)+1 is the length = 19 cm 

Final answer:

The width of the rectangle is 6 centimeters and the length is 19 centimeters.

Explanation:

To find the dimensions of the rectangle, we can assign variables to the length and width of the rectangle. Let's say the width is 'w' centimeters.

According to the information given, the length is '1 + 3w' centimeters. The perimeter of a rectangle is the sum of all its sides, so we can set up the equation: 2(length + width) = 50. Substituting the given expressions for length and width, we have: 2((1 + 3w) + w) = 50. Simplifying this equation, we get: 8w + 2 = 50. Solving for 'w', we find that the width of the rectangle is 6 centimeters. Substituting this value back into the expression for the length, we get: length = 1 + 3(6) = 19 centimeters.

Therefore, the dimensions of the rectangle are width = 6 centimeters and length = 19 centimeters.

Learn more about Rectangle dimensions here:

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In the cafeteria 100 milk cartons were put out for breakfast. at the end of breakfast 27 remained what is the number of milk cartons taken to the total number of mil cartons

Answers

milk cartons taken : 100 - 27 = 73
total number of milk cartons : 100

ur answer is 73/100 or 73:100 or 73 to 100

Change the line 3x − 8y = 5 into slope-intercept form.

Answers

slope is y=mx+b
m=slope
b=y intercept

solve for y basically


3x-8y=5
minus 3x both sides
-8y=-3x+5
divide both sides by -8
[tex]y=\frac{3}{8}x-\frac{5}{8}[/tex]

12 cot2(x) = 4 find all values of x in the interval [0, 2π] that satisfy the equation

Answers

[tex]cot^2x = 4/12 \\ cot^2x = 1/3 \\ tan^2x = 3 \\ tan(x)= +- \sqrt{3} [/tex]

so,  [tex]x= \pi/3 \\ x = \pi - \pi/3 = 2\pi/3 \\ x = \pi + \pi/3 = 4\pi/3 \\ x = 2\pi - \pi/3 = 5\pi/3 [/tex]


Final answer:

To solve 12 cot2(x) = 4, we simplify and use properties of the tangent function. The solution is x = π/3, 2π/3, 4π/3, and 5π/3 within the interval [0, 2π].

Explanation:

To solve the trigonometric equation 12 cot2(x) = 4, we first simplify it to find cot2(x) = 1/3 by dividing both sides by 12. To find cot(x), we take the square root of both sides, giving us cot(x) = ±1/√3. Remember that cot(x) is the reciprocal of tan(x), so we now have tan(x) = ±√3.

To find the values of x that satisfy this equation within the interval [0, 2π], we look at the unit circle. The tangent function is positive in the first and third quadrants and negative in the second and fourth quadrants. Therefore, for tan(x) = √3, x = π/3, 4π/3, and for tan(x) = -√3, x = 2π/3, 5π/3. These are the values of x in the given interval that satisfy the equation.

Andrea wants to deposit money into a bank account that earns 4.5% simple interest. Use the formula l=Prt to find the ammount of money that she should deposit so that she earns $2800 after 4.5 years. Show and explain your work.

Answers

The formula is
I=prt
I interest earned 2800
P amount deposited. ?
R interest rate 0.045
T time 4.5 years
Solve the formula for p by dividing both sides by rt to get
P=I/rt
P=2,800÷(0.045×4.5)
P=13,827.16 round your answer to get 13827

Hope it helps!

Next school year, 2 out of every 7 students plan te take an elective computer course. if there are 2464 students at the high school, how many computer students should the school plan for?

Answers

2 out of every 7 students plan to take the course....that means 5 out of every students do not plan to take it. So 2/7 of the total students plan to take it and 5/7 of the total students do not plan to take it.

so 2/7 of 2464 plan to take the course.....2/7(2464) = 4928/7 = 704 students ...the school need to plan for 704 students <==

Which figures are congruent? Will Give Brainliest Answer

 A. B ≅D and A ≅C 
B. B ≅D
 
C. B ≅D and E ≅F
 
D. B ≅D and E ≅F and A ≅C

Answers

C. Theyre just rotated, no dilations
That would have to be C. Because they are just rotated and are no actual dilations

288 miles on 12 gallons of fuel; 240 miles on 10 gallons of fuel

Answers

Ratio: 240:10
Ratio: 24:1

They are proportional.

Hope this helped!

Which answer gives the number and type of solutions to the equation x2+14x+49=0 ?

Answers

x² + 14x + 49 = 0
(x + 7) (x + 7) = 0
x = -7

The quadratic equation[tex]x^2 + 14x + 49 = 0[/tex]factors into [tex](x + 7)^2 = 0[/tex], yielding one real repeated solution, x = -7. This means the graph of the quadratic function touches the x-axis at precisely one point.

The given equation [tex]x^2 + 14x + 49 = 0[/tex] is a quadratic equation and can be factored or solved using the quadratic formula.

However, this particular equation is a perfect square trinomial because the constant term 49 is the square of 7 and twice the product of 7 and the linear coefficient 14 is equal to the middle term 14x.

[tex]x^2+2*7*x+7^2=0[/tex]

Therefore, the equation can be factored as

(x + 7)^2 = 0.

To find the solution, we set the factor equal to zero:

(x + 7) = 0
(x + 7) = 0

This equation has one unique solution, x = -7, which means the quadratic equation has one real repeated solution.

In the context of the number and type of solutions, it means the graph of the quadratic function touches the x-axis at one point (x = -7) and does not cross it.

The bakers healthy bakery can make 160 bagels in 5 hours. a.how many can they make in 1 hour? B.How many can they make in 12 hours?

Answers

A) Think of the amount as a fraction or ratio: 160/5 now, we want the denominator to be equivalent to 1 hour so we divide 5 by 5 to get 1. What we do to the bottom, we do to the top, so we do 160 divided by 5 = 32 bagels in 1 hour.
B) Now take 160/5 and set the denominator equal to 12. 5 times 2.4 equals 12, so then multiply 160 times 2.4 = 384 bagels in 12 hours. Hope this helps!

I believe it would be 32 in 1 hour. A: 160÷5=32
For the second part you multiply B: 32x12=384
so 384 bagels in 12 hours.

Find an equation of the set of all points equidistant from the points a(−1, 6, 3) and b(4, 3, −2).

Answers

hello :
the set of all points M (x,y) equidistant from the points A(−1, 6, 3)
and B(4, 3, −2): 
MA = MB  or  MA² = MB²
an equation is : 
(x+1)²+(y -6)²+(z - 3)² = (x - 4)² +(y -3)² + (z+2)²

If a person wanted to purchase their dream car, and keep it for many years, should they lease or buy? Why? (Site 1)

Answers

Buying an asset or a vehicle means paying off the entire sum of money that is the cost of the asset at the time of its purchase.

Leasing an asset means purchasing an asset by not paying the entire sum of money at the time of purchasing, rather paying in the form of rent over the period of time.

If a person wants to purchase his dream car for keeping for many years, then Buying Option is better because the payment of the overall cost in buying will be less than leasing.

This will also provide benefit that at the time of sale the owner will be paid off higher value of car as compared to car taken on lease.

For more information about leasing and buying, please refer to the link:

https://brainly.com/question/19843028

Final answer:

If a person wants to purchase their dream car and keep it for many years, it is generally recommended to buy rather than lease. Buying a car provides long-term ownership, customization options, and potential resale value, while leasing offers lower monthly payments but no ownership.

Explanation:

If a person wants to purchase their dream car and keep it for many years, it is generally recommended to buy rather than lease. Here are the reasons why:

Ownership: When you buy a car, you become the owner and have the freedom to modify or personalize the vehicle as you wish. Leasing, on the other hand, only provides temporary possession of the car.Long-term cost: Buying a car may have higher upfront costs, such as a down payment and monthly loan payments, but in the long run, you will own the vehicle. Leasing involves lower monthly payments, but you will not own the car at the end of the lease term.Resale value: Owning a car allows you to build equity over time. You can sell the car later and recoup some of the cost. Leasing does not provide this opportunity.

In conclusion, buying a car is a better option if you want long-term ownership and the ability to customize the vehicle. Leasing may be suitable for those who prefer lower monthly payments and don't want to commit to long-term ownership.

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