A farmer has 165 feet of fencing material in which to enclose a rectangular grazing area. He wants the
length x to be greater than 50 feet and the width y to be no more than 20 feet.
write a system of inequalities to represent this situation

Answers

Answer 1

Answer:

2*x + 2*y ≤ 165 ft

x > 50ft

0ft < y ≤ 20ft

Step-by-step explanation:

For a rectangle with length x and width y, the perimeter of the triangle is:

P = 2*x + 2*y

The perimeter needs to be equal or smaller than the length of fencing that the farmer has, then:

2*x + 2*y ≤ 165 ft

We also know that:

(x strictly larger than 50ft)

x > 50ft

(y can be, at most, 20 ft)

0ft < y ≤ 20ft

(where we added the restriction that y needs to be larger than zero, because we can not have a width equal or smaller than zero)

Then the system of inequalities that represent this situation is:

2*x + 2*y ≤ 165 ft

x > 50ft

0ft < y ≤ 20ft


Related Questions

Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?

Answers

Answer:

6 oz

Step-by-step explanation:

https://brainly.in/question/28460456

Answer:

options on graph:

lceberg- 40%

romaine- 27%

spinash- 15%

arugula- 12%

carrots- 6%

answer is C.   is 18oz.

Step-by-step explanation:

multiply 64 x .27%= 18oz

Pls answer quick!
Choose the correct simplification of the expression (a^2/b^5)^3
A. a to the 6th power over b to the 15th power

B. a to the 5th power over b to the 8th power

C. a over b to the 15th power

D. a6b15

Thanks <3

Answers

Answer:

D.......................

ill give brainIiest to the right answer

Answers

Answer:

[tex]K=6[/tex]

Step-by-step explanation:

In f(x) graph the vertex is at x=4

In g(x) the vertex at x=-2

so, the graph is shifted 6 units left. when the graph is shifted k units left then f(x) becomes f(x+k)

here the  graph is 6 units left so.. K= 6

[tex]-----------[/tex]

hope it helps...

have a great day!!

Help me solve 2 and 4

Answers

Answer:

2. answer C

4. answer C

Step-by-step explanation:

hope this helped you :)

Answer: i know 4 but i coudint find 2 but 4 is (D)

How would you show a rate of change of 3.5 meters per minute on a graph?

Answers

Answer:

i don't know

Step-by-step explanation:

Solve for n. n =
Fast plz

Answers

Answer:

24

Step-by-step explanation:

360 degrees, so 2+6+5+2=15

360/15=24

n=24

A faraway planet is populated creatures called Jolos. All Jolos are either
green or purple and either one headed or two-headed.
Balan, who lives on this planet, does a survey and finds that her colony of 500
contains 100 green, one-headed Jolos; 125 purple, two-headed Jolos; and
270 one-headed Jolos.

Answers

Your answer is B. 205.

Because when you subtract 270 - 100 it equals 170 then you add 170 + 125 which equals 295 then you subtract 500 - 295 it equals 205 which is your answer!

      Hope this helps!

Answer:

b

Step-by-step explanation:

What is the coordinate of the focus
for the following parabola:
(x - 1)^2 = 12(y + 2)

Answers

Answer:

D

Step-by-step explanation:

The required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.

Given that, equation of the parabola,

[tex](x - 1)^2 = 12(y + 2)[/tex]


What is a parabola?

A parabola is cross-section cut out of the cone and represented by an equation [tex]y = 4ax^2[/tex]. Where a is focus.

Here,
[tex](x - 1)^2 = 12(y + 2)[/tex]
Simplify the above parabola equation to stand equation
[tex]y = \frac{1}{4(f-k)} (x-h)^2 + k[/tex]
[tex]y =\frac{1}{4(1-(-2))} (x - 1)^2 - 2[/tex]
Now comparing above the equation,
vertex of a parabola,
h = 1 and k = -2

And focus
So the coordinate of the focus of the parabola = (h, f)
= (1, 1)      

     

             

Thus, the required focus of the parabola (x - 1)^2 = 12(y + 2) is (1, 1). Option D is correct.


Learn more about parabola here:

brainly.com/question/4074088

#SPJ2

9/2 as a fraction and what is 2/3 reciprocal







Answers

9/2 is already a fraction, and the reciprocal of 2/3 and 3/2

Answer:

9/2 = 4 1/2 , 2/3 = 3/2

Step-by-step explanation:

The reciprocal of a fraction is switching the numerator and the denominator.

2/3, switched is 3/2.

To find the mixed form of an improper fraction, you divide the numerator by the denominator.

Like this, 9/2 = 4.5

4 is the whole.

So, 4 would be the whole number.

Then there is 1 left over.

You keep the denominator.

So it would be 4 1/2.

Which statement Is always true?
The sum of two Irrational numbers is rational.
The product of a rational and irrational number is rational.
The sum of two rational numbers is irrational.
The product of two rational numbers is rationall

Answers

Answer:

D) The product of two rational numbers is rational.

Find the missing length of the triangle
20 cm
12 cm

Answers

The shape on the left is a square with side length of 12 cm

This means the height of the triangle is 12cm.

Knowing the height and the hypotenuse using the Pythagorean you can solve for the base.

20^2 = 12^2 + x^2

400 = 144 + x^2

Subtract 144 from both sides:

256 = x^2

Take the square root of both sides

X = sqrt(256)

X = 16

X = 16

how to do this question ​

Answers

9514 1404 393

Answer:

  7 days

Step-by-step explanation:

(a) Filling in the given information will result in two equations in the two unknowns. Dividing one by the other will tell you the value of b.

n=2

  1.8 = A₀·b²

n=3

  2.4 = A₀·b³

Dividing the second equation by the first gives ...

  2.4/1.8 = (A₀·b³)/(A₀·b²) = b

  4/3 = b

__

(b) Substituting this into the first equation, we can find A₀.

  1.8 = A₀·(4/3)²

  1.8(9/16) = A₀ = 1.0125

A₀ is the value of A when n=0. It is the area of the patch at the beginning of observation, before any days passed.

__

(c) The area will be 7 cm when ...

  1.0125·(4/3)^n = 7

  (4/3)^n = 7/1.0125 . . . . . . . . . . . . divide by A₀

  n·log(4/3) = log(7/1.0125) . . . . . . take logarithms

  n = log(7/1.0125)/log(4/3) ≈ 6.72092

It will take about 7 days for the area of the patch to exceed 7 cm.

Ralph has a cylindrical container of parmesan cheese. The diameter of the base of the container is 2.75 inches, and the height is 6 inches. What is the area of a horizontal cross section of the cylinder to the nearest tenth of a square inch?

Answers

Answer:

The solution is given below:

Step-by-step explanation:

The computation of the area of the horizontal cross section of the cyclinder is given below:

In the case when it is a circle

The area of the circle is

= πr^2

= 3.14 × (2.75 ÷ 2)^2

= 11.873 inches^2

In the case when it is a rectangle

The area of the rectangle is

= 6 × 2.75

= 16.5 inches^2

Hence, the above show the calculations

The area of the horizontal cross section.

When circular is [tex]11.873 inches^2[/tex]

When it is rectangular [tex]16.5inches^2[/tex]

The computation of the area of the horizontal cross section of the cylinder

What is the formula of the area of the circle?

The area of the circle is[tex]=\pi r^{2}[/tex]

use the given value in above formula we get,

[tex]= 3.14 \times (\frac{2.75}{2} )^2[/tex]

[tex]= 11.873 inches^2[/tex]

when it is a rectangle then the area of the rectangle is

[tex]= 6 \times 2.75[/tex]

[tex]= 16.5 inches^2[/tex]

Therefore,the area of the horizontal cross section.

when circular is [tex]11.873 inches^2[/tex]

When it is rectangular [tex]16.5inches^2[/tex]

To learn more about the area of the cross section visit:

https://brainly.com/question/24592106

HELP!!!! If u answer in less then 4 minutes i will give lots of points! PLEASE
Which numbered choice below
represents the equation used to
develop the chart of values seen
at the right?
1) x + y = -5 2) y = -x + 7
3) x - y = 5 4) y = x + 5

Answers

Answer:

the answer would be (4) or y=x+5

Step-by-step explanation:

-4+5 = 1 y=1 check

0+5=5 y=5 check

and so on.

HELP HELP HELP HELP

Answers

Answer:

24

Step-by-step explanation:

help me just

plz

hmmm

or let me die

Nine more than the product of a number and 3 is equal to 7.

Answers

Answer:

This phrase translates to the mathematical expression:

9 + (N x 3) = 7

If you want to solve for the missing number,

N x 3 = -2

N = -2/3

Does anyone know the answer to this help fast!

Answers

180-90=3x
90=3x
X=30

90+x+y=180
90+30+y=180
120+y=180
Y=60
I think it is 60. 60 is the answer.

1/3 divided by 4 what is the awnser for this equation

Answers

Answer:

1/12

Step-by-step explanation:

Hope this helps :)

Lana bought a sports car for $75,700. If the value of her car decreases 4.3% annually.
When using the exponential DECAY formula, what would be the value of r?

Answers

Given:

The initial value of the car = $75,700

Decreasing rate = 4.3%

To find:

The value of r in the exponential DECAY formula.

Solution:

The exponential decay formula is:

[tex]y=a(1-r)^t[/tex]

Where, a is the initial value, r is the rate of decay on decimal and t is the time period.

The initial value of the car is $75,700 and its value decreases 4.3% annually. So,

[tex]a=75,700[/tex]

[tex]r=\dfrac{4.3}{100}[/tex]

[tex]r=0.043[/tex]

The required exponential decay formula is:

[tex]y=75,700(1-0.043)^t[/tex]

Therefore, the value of r in the exponential decay formula is 0.043.

Which expression(s) are equivalent to the given expression?
6x - 18y + 36
A 2(3.2 - 9y + 18)
B 3(2x - 6y +12)
c|4(2x - 14y + 32)
D 6(2-3y +36)
E9(6x - 2y + 4)

Answers

Answer:

B

Step-by-step explanation:

You just need to multiply the first number by every number in the parantesis Take care bby :)))

Answer:

B

Step-by-step explanation:

B: 3x2x= 6x

   3x6y= 18y

   3x12=36

If there's more I apologize but that is all that I could find.

Translate the sentence into an equation.
The sum of 5 times a number and 9 is equal to 4.

Answers

The answer would be 5n+9=4 hope that helps

URGENT!!!! A ship sails due east from point A for 30 miles. It then
adjusts its course 10° to the north and travels 20 miles to point
B. How far is point A from point B? Estimate the answer to the
nearest tenth. Don't forget the units.

Answers

Hopefully this helps

A hospital near a ski resort records the types of injuries treated during ski season and other seasons
over a year. The results shown in the table will help determine the medical staff that is required at
different times of the year. According to the data in the table, what is the probability that a patient will
need to be treated for a broken bone during ski season?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the types of injuries and the frequency of each injury are not given.

A general way to solve a question like this, is as follows;

First: Calculate the total frequency.

Assume the given dataset is:

[tex]\begin{array}{cc}{Injury} & {Frequency} & {Dislocation} & {20} & {Strain} & {5} & {Broken\ Bone} & {10} & {Bruise} & {15} \ \end{array}[/tex]

The total frequency is:

[tex]Total =20 + 5 + 10 + 15[/tex]

[tex]Total =50[/tex]

Next, write out the frequency of broken bone injuries

[tex]Broken\ Bone = 10[/tex]

Calculate the probability by dividing the number of broken bone by the total frequency

[tex]Pr= \frac{10}{50}[/tex]

[tex]Pr = 0.20[/tex]

hey brainless riddle me this

Answers

i’m brainless i don’t know any riddles
What’s the riddle and I bet that I can

A.none
B.vertical
C.Adjacent
D.Complementary
E.Obtuse

Answers

Answer:

C. Adjacent

Step-by-step explanation:

I’m just typing this to get points don’t mind this lol

The 5th graders want to raise money for their overnight camping trip by selling cornbread during the school Chili Cook-Off contest. All the pans of cornbread are square. A pan of cornbread costs $12. The customers can buy any fractional part of a pan of cornbread and pay that fraction of $12. For example, ½ of a full pan costs ½ of $12.

Answers

Answer:

1 / 12 ; $1

Step-by-step explanation:

Pan was 1/4 full and she buys 1/3 of the cornbread in the pan

The fraction of cornbread she buys is :

1/3 of 1/4

1/3 * 1/4 = 1/12

Hence, she bought 1/12 of cornbread

The amount she pays :

Cost of 1 pan = $12

Therefore, the cost of 1/12 of a pan will be :

1/12 * $12 = $1

Hence, she'll pay $1

20 mi
12 mi
b
What is the length of the missing leg?

Answers

Answer:

13

Step-by-step explanation:

thats my answer byusing calculato

turn 2 3/4 into an improper fraction

Answers

Answer:

11/4

Step-by-step explanation:

Multiply the denominator by the whole number and add it to the numerator and keep the denominator the same therefore it would be 11/4.

To rent some equipment from a local hardware store, it costs $65 for 8 hours. To rent it for 12 hours, it costs $85. If the rate of change is constant, find the rate of change (cost per hour).

Answers

Answer:

it costs 7-8$ per hour

Step-by-step explanation:

the answer is estimated

☽. can someone help me <3?

Answers

Answer:

84.9

Step-by-step explanation:

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