A rectangular soccer field may have a width between 50 and 100 yards and a length
between 100 and 130 yards. One particular soccer field has a perimeter of 320 yards. Its
length measures 40 yards more than its width. What are the dimensions of this field?

The length is___yards.

The width is____yards.

Answers

Answer 1

Answer:

[tex]perimeter = 2(l + w) \\ but \: length = 40 \times width \\ perimeter = 2(40w + w) \\ p = 2(41w) \\ 320 = 2(41w) \\ w = \frac{320}{(2 \times 41)} \\ w = 3.902 \: yards \\ length = 40 \times w \\ = 40 \times 3.902 \\ l = 156.08 \: yards[/tex]

Answer 2

9514 1404 393

Answer:

length: 100 yardswidth: 60 yards

Step-by-step explanation:

Let w represent the width of the field. Then the length is (w+40), and the perimeter is ...

  P = 2(L +W)

  320 = 2((w+40) +w) . . . . fill in values

  160 = 2W +40 . . . . . . . . . divide by 2, collect terms

  80 = w +20 . . . . . . . . . . .  divide by 2

  60 = w . . . . . . . . subtract 20

  w+40 = 100

The length is 100 yards; the width is 60 yards.


Related Questions

I suck at math anybody willing to help me thru it all ? And please answer this it’s due now

Answers

Answer:

1

Step-by-step explanation:

they are the exact same, so y=x, or y=1x.

the answers 1 because for every 1 y has, x also has one.

14.12 = 1/2 (3.6x - 12.8)

show work

Answers

Answer:

x = 11.4

Step-by-step explanation:

14.12 = [tex]\frac{1}{2}[/tex] ( 3.6x - 12.8 )

Rewrite so that the equation is entirely in decimals;

14.12 = 0.5( 3.6x - 12.8 )

Distribute;

14.12 = 1.8x - 6.4

Inverse operations;

14.12 = 1.8x - 6.4

+6.4            +6.4

20.52 = 1.8x

/1.8        /1.8

11.4 = x

Answer:

11.4

Step-by-step explanation:

14.12= 1/2(3.6x-12.8)

14.12=1.8x-6.4

20.52=1.8x

x=11.4

Hope that helps :)

Lemme know if I need to explain more

Three friends are sharing the cost of a bucket of popcorn the total cost of the popcorn is 5.70. Which equation could be used to find them amount a in dollars that each friend should pay

Answers

Answer:

individual pay (a) = cost of popcorn / number of friends

Step-by-step explanation:

Assuming the cost of the popcorn is to be split evenly among the three friends, where all three friends are to split 5.70, the pay per friend is;

individual pay (a) = 5.70 (cost of popcorn) / 3 (number of friends)

The midpoint of UV is point W. What are the
coordinates of point V?

Answers

(2,-23) is the right answer


What is the y-intercept of y = -3x

Answers

Answer:

0

Step-by-step explanation:

The y-intercept of y = -3x is zero.

Answer:

0

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = -3x

Step 2: Break Function

Identify Parts

Slope m = -3

y-intercept b = 0

*We assume that if the variable isn't there, it is 0 or being multiplied by 0.

What’s the inverse f(x) = 2x-5

Answers

Answer:

25

Step-by-step explanation:

it's so easy to get to know

Step-by-step explanation:

Given

f(x) = 2x - 5

f^-1(x) = ?

we know

Let

y = f(x)

Or y = 2x - 5

Now Interchanging the role of x and y we get

x = 2y - 5

or 2y = x + 5

therefore y = (x+5) / 2

Therefore, f^-1(x) = ( x + 5 ) / 2

Hope it will help :)❤

A family spends $520 every month on food if the family's income is 3 200 each month what percent of the inco.E is spent on food

Answers

Answer:

16.25% was spent on food

Step-by-step explanation:

Step one

given data

A family spends $520 every month on food

The family's income is $3200 Monthly

Required

We want to find the percentage of the income spent on food only

Step two

percentage spent on food= amount spent on food/income*100

percentage spent on food= 520/3200*100

percentage spent on food= 0.1625*100

percentage spent on food= 16.25%

=16.25%

25 POINTS!! WILL MARK BRIANLIEST

Answers

Answer:

4y = 10 degrees, the answer is 2.5. Otherwise, I have no idea what 4y - 10 degrees equals. 0

Step-by-step explanation:

ILL GIVE BRAINLIEST!!!!!
For questions 3 – 5, use the FOIL method to find the product of the binomials.
3. (2x + 3)(x + 1) 4. (x – 5)(3x + 2) 5. (x2 + 2)(5x + 1)

Answers

Answer:

The answer to question 3 is : 2x^2 + 5x + 3

Step-by-step explanation:

The FOIL method is multiplying the first variables, the outside variables, the inside variables and the last variables.

(2x + 3)(x + 1)

F = 2x times x = 2x^2

O = 2x times 1 = 2x

I = 3 times x = 3x

L = 3 times 1 = 3

2x^2 + 5x + 3

I'll leave the rest to you. You got this!

Answer:

1. 2x^2+5x+3   2.3x^2-13x-10    3.10^2+12x+2

Step-by-step explanation:

trust

and plz mark brainliest

Which exponential function has an x-intercept?
OA.
Rx) = 100X-5 - 1
OB.
Rx) = 38-4 + 2
OC.
R(x) = 7*-1 + 1
OD.
Rx) = -8X+1 - 3

Answers

Answer:

I would have to say D

Step-by-step explanation:

because it is a complete function

The function [tex]f(x)=100^{x-5}-1[/tex] has a x-intercept

How to determine the exponential function

For an exponential function to have a x-intercept, the function must cross the x-axis

To determine the function, we simply plot them on a graph.

From the graph (see attachment), we can see that the graph of the function [tex]f(x)=100^{x-5}-1[/tex] crosses the x-axis.

This means that the function [tex]f(x)=100^{x-5}-1[/tex] has a x-intercept

Read more about exponential functions at:

https://brainly.com/question/11464095

Which table does NOT show a proportional relationship?
1 point

A
B
C
D

Answers

The answer is Either ‘A’ or ‘D’
I think it’s C or A I don’t know but I say A or C

Find the missing side lengths . Leave your answers as radicals in simplest form.
Does anybody knows how to do it cause I don’t so can y’all plz help me

Answers

Step-by-step explanation:

Question 9:

Hypotenuse = 7

Leg = Hypotenuse / √2 = 7/√2 = 7√2 / 2.

Therefore x = y = 7√2 / 2.

Question 10:

Leg = 10

Since x is also a Leg, x = 10.

Hypotenuse = Leg * √2 = 10√2. => y = 10√2.

Question 11:

Leg = 7

Since x is also a Leg, x = 7.

Hypotenuse = Leg * √2 = 7√2, => y = 7√2.

1. Evaluate x + 6 when x=7
Thank you!

Answers

x=7

So...

7+6=13

Hope this helps!

Answer: 13

Step-by-step explanation: x =7 so u plug 7 in as x .and u do 7 plus 6 which gives u 13.

HOPE it helps  ;)

A ​$260 suit is marked down by 30​%. Find the sale price.

Answers

Answer: $78

Step-by-step explanation:

We start by doing 260 x 30.

260 x 30 = 7800.

Then we divide the product of 260 and 30 by the original percent, which is 100.

7800 divided by 100 = 78.

So the answer is 78

A Pyramid is placed inside a prism as shown in the pyramid has the same base area B as a prison but half the height H of the prism which expression gives the volume of the pyramid

Answers

Answer:

D) V= 1/6 bh

Step-by-step explanation:

The expression that provides the volume of the pyramid is as follows;

As mentioned in the question

It is given that the pyramid put inside a prism

Also the pyramid contains the similar base area but the height is half of the prism

so the base area of the pyramid is b

And, the Height of the pyramid = h ÷ 2

Now as we know that  

The volume of the pyramid is

V = 1 ÷3 × base ares × height

= 1 ÷ 3 × b × h ÷ 2

V = 1 ÷ 6 bh

So, the volume is 1 ÷6 bh cube unit.

Answer:

V = 1/6 BH

Step-by-step explanation:

the volume of a pyramid is 1/3 BH , since the pyramid is only half the height of the prism you'll have to multiply 1/3 x 2 = 1/6

I need help with this. I do not understand it.

Answers

41.75 hours.

To get this answer just add all of the numbers for week 5/10.
41.75 hr ............

Helpppp !!! Thank you have a great day :)

Answers

Answer:

4550$

Step-by-step explanation:

350$ times 13 would give you 4550

mark brainless please <3

Answer:

$4550

Step-by-step explanation:

$350 x 13 = $4550

Have a good day/night

how many points did this give you?

Answers

f.ck yo 50 points like dafawkkkk

Select all the systems of equations that have exactly one solution.
y = 3x + 1
y = 3x + 7

y = 3x + 1
y = x+1

y=3x+1
y = 3x + 7

x+y=10
2x+2y=20

x+y=10
x+y=12​

Answers

Answer:

b) y = 3x + 1

y = x+1

Step-by-step explanation:

Select all the systems of equations that have exactly one solution.

a)

y = 3x + 1

y = 3x + 7

y - 3x = 1.... Equation 1

y - 3x = 7...... Equation 2

We solve using Elimination

We Subtract Equation 2 from 1

(y - y ) - (3x - 3x) = 7 - 1

0 = 6

b) y = 3x + 1...... Equation 1

y = x +1...... Equation 2

x = y - 1

We substitute y - 1 for x in Equation 1

y= 3(y - 1) + 1

y = 3y - 3 + 1

y - 3y = -3 + 1

-2y = -2

y = -2/-2

y = 1

Solving for x

x = y - 1

x = 1 - 1

x = 0

x = 0, y = 1,

The Equations in b) have only one solution

c) x+y=10

x = 10 - y

2x+2y=20

We substitute

2(10 - y) + 2y = 20

20 - 2y + 2y= 20

-2y + 2y = 20 - 20

0 = 0

It has no solution

d) x+y=10.... Equation 1

x+y=12..... Equation 2

We solve using Elimination

We Subtract Equation 2 from 1

x - x + y - y = 12 - 10

0 = 2

Please please help please

Answers

Answer:

AB = BC = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

This is a 45-45-90 triangle (right isosceles). This means that the side ratio is

1:1:[tex]\sqrt{2}[/tex], where AC is sqrt 2, and AB and BC are 1. Now, we need to plug this into our ratio. If sqrt 2 is 8, then 1 is x.

8/[tex]\sqrt{2}[/tex] = x/1 = x

x = 8/[tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] (rationalized)

AB and BC are both 4 * sqrt 2

The answer is AB = BC = 4√2

If you sleep 8 hours out of 24 hours, what percentage of the time do you sleep?

Answers

Answer:

33.33%

Step-by-step explanation:

8 out of 24 hours is equivalent to 1/3 which equals to 33.33%

Answer:

8/24 converted to a percentage = 33.333333333333%

Item 14 The endpoints of $\overline{AB}$ are $A\left(7,\ 8\right)$ and $B\left(-2,\ 3\right)$ . Find the coordinates of the midpoint M. Coordinates of midpoint M: ( , )

Answers

Answer:

(2.5, 5.5)

Step-by-step explanation:

The formula for calculating the midpoint of two coordinates is expressed as;

M(X, Y) = {(x1+x2/2, y1+y2/2)}

X = x1+x2/2

Y = y1+y2/2

Given the coordinates (7, 8) and (-2, 3)

X = 7-2/2

X = 5/2

X = 2.5

Y = y1 + y2/2

Y = 8+3/2

Y = 11/2

Y = 5.5

Hence the midpoint M of the coordinates is (2.5, 5.5)

OMG HELP OMG HELP OMG HELP

Answers

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3 bouquets of 3$ is 3*3 = 3^2

4 bouquets of 2$ = 2 * 4

Two stores offer customers bulk DVD rates. Best Buy sells 6 CDs for $63 and Target sells 8 CDs for $96. Write the unit price for each store and then determine which store offers the better buy. Explain your reasoning.

Answers

Answer:

96÷8=12 so it wold be $12 per CD AND 63÷6=10.5 there for making the CD $10.5 making Best Buy your answe

just tell me which one.

Answers

The answer is B your welcomeeee

james is purchasing a new pair of AirPods for $199.99. if the tax rate is 9% how much will he spend?​

Answers

Answer:

200.08

Step-by-step explanation:

The answer is $200.08

*WILLL GIVE BRAINIEST TO COORECT RESPONCE*
how do i do this?
what is the answer?

Answers

Answer:

line mo

Step-by-step explanation:

Because the triangle are congrument

RST and MNO are the triangle

RT is a line in the RST triqangle

it is equal to the MO line in MNO

An apple juice factory produced 830.87 gallons of apple juice in 4 days. How much apple
juice, on average, did the factory produce each day?

Answers

Answer:

207.7175

Step-by-step explanation:

take the 830.87 and divide it by 4 to see how much is made in 1 day. thats the average.

so I've had a bad migraine all day and my homework is due tonight can somebody do it for me, please because I've just been putting it off and if it doesn't get done I'll get in trouble and get a zero for it I will give you 150 points whoever does my homework

Answers

Sorry. I can’t :( I hope your headache goes away
Depends on what it is, but if I know how to do it then I will.

A quadratic equation x²+2(3x+p)=0 where p is a constant, has roots a and 2a, where a≠0
(a) find the value of a and of p
(b) hence, from a quadratic equation whose roots are a+1 and a-5


HELP ME PLISS​

Answers

Answer:

a = -2 and p = 4.

Step-by-step explanation:

x²+2(3x+p)=0

x^2 + 6x + 2p = 0

For the general equation ax^2 + bx + c = 0, the sum of roots = -b/a and their product = c / a.

So here we have:

Sum of the roots:

a + 2a = -6/1 = -6

Product of the roots = 2a^2 = 2p/1 = 2p..

So 3a = -6 and

a = -2.

and

2(-2)^2 = 2p

8 = 2p

p = (-2)^2 = 4.

Answer:

see explanation

Step-by-step explanation:

Since x = a and x = 2a are roots, then substitute these values into the equation.

x = a

a² + 2(3a + p) = 0, that is

a² + 6a + 2p = 0 → (1)

x = 2a

(2a)² + 2(3(2a) + p) = 0

4a² + 12a + 2p = 0 → (2)

Solving simultaneously

Subtract (1) from (2) term by term to eliminate p

3a² + 6a = 0 ← in standard form

3a(a + 2) = 0 ← in factored form

Equate each factor to zero and solve for a

3a = 0 ⇒ a = 0

a + 2 = 0 ⇒ a = - 2

Since a ≠ 0 then a = - 2

Substitute a = - 2 into either of the 2 equations and solve for p

substituting into (1)

(- 2)² + 6(- 2) + 2p = 0

4 - 12 + 2p = 0

- 8 + 2p = 0 ( add 8 to both sides )

2p = 8 ( divide both sides by 2 )

p = 4

Thus a = - 2 and p = 4

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

a + 1 = - 2 + 1 = - 1

a - 5 = - 2 - 5 = - 7

If x = - 1 and x = - 7 are roots then the corresponding factors are

(x + 1) and (x + 7) and the quadratic equation is the product of the factors, that is

(x + 1)(x + 7) = 0 ← expand left side using FOIL

x² + 8x + 7 = 0

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