A zoo keeper wants to fence a rectangular habitat for goats. The length of the habitat should be at least 80 feet and the perimeter of the habitat should be no more than 300 feet


Write a system of linear inequality:___________


Please help!! It’s due within 20 minutes!! Please..

Answers

Answer 1

Answer:

Step-by-step explanation:

Let x ft be the length of the fence and y ft be the width of the fence.

1. The length of the habitat should be at least 80 feet, then

2. The perimeter of the habitat should be no more than 300 feet. The perimeter of the fences 2x+2y ft, then

3. The system of inequalities that represent the model is

The graph of these inequalities is attached.

Two possible solutions are

1. x=100 ft, y=20 ft (100≥80 and 2·100+2·20=240≤300);

2. x=110 ft, y=30 ft (110≥80 and 2·110+2·30=280≤300).


Related Questions

please help!! I'm very confused

Answers

To find the area of a parallelogram, multiply the base by the height. Remember, the formula is A= B * H. So, your base is 13.5. Then, your height is 18. Finally, You multiply the base and height, and your answer should be 243 in. sq.

Solve the Inequality! Please help me, answer needed FAST AND QUICK! Will give BRAINIEST 10 POINTS

Answers

Answer:

z (the arrow with teh line is pinting to the z) -4

Step-by-step explanation:

I NEED HELP ASAP PLEASE

How do u write

A number is a maximum of twelve

Answers

Answer:

Step-by-step explanation:

4x3 is the max of 12

Will Mark Brainliest

Solve each system by elimination. Show your work

3х – 10 y = 14
3х – 9y = 15

Answers

Answer:

subtracting both equations

3x-10y=14

3x-9y=15

- - =-

_________

0-y=-1

y=1

then putting the value of y in first eqn

3x-10×1=14

3x=24

x=8

so x is 8and y is 1

Someone answer this i will give you the brainlist

Answers

21%, .262, 26.8%, 2 and 2/5

Which of the following statements is true of the number 651.44

A) The 4 in the hundredths place has a value that is 10 times that of the 4 in the tenths place

B) The 4 in the tenths place has a value that is 10 times that of the 4 in the hundredths place

C) The 4 in the tenths place has a value that is 100 times that of the 4 in the hundredths place

D) The 4 in the tenths place has a value that is 1/10 that of the 4 in the hundredths place

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

7000000000000000000000 people ate 800 pizzas how many slices would each person get?

Answers

Hello! I may be wrong, I’m just going off the calculator LOL. I got:

5.6e+24

Hope this helps!

Select the correct answer.
What is the solution to this system of equations?
3x+y=17
x+2y= 49

OA. It has no solution,
B.
It has infinite solutions.
OC. It has a single solution: x = 15, y= 17.
OD.
It has a single solution: x= -3, y = 26.

Answers

Answer:

one solution:  x = -3,  y = 26

Step-by-step explanation:

3x + y = 17

x + 2y = 49

If you multiply the first equation by -2 and then add you will eliminate the 'y' term

-2(3x + y) = -2(17)

  -6x - 2y = -34

+    x + 2y = 49

   -5x = 15

     x = -3

-3 + 2y = 49

2y = 52

y = 26

need helpp asap its due by 11:59pm i will give brainliest

Answers

Answer:

The solution is (-6,2)

Step-by-step explanation:

Answer:

Fr

Step-by-step explanation:

Please help me I will give you Brainly

Answers

Answer:

(- 1, 4 )

Step-by-step explanation:

Given the 2 equations

3x + 4y = 13 → (1)

2x - 2y = - 10 → (2)

Multiplying (2) by 2 and adding to (1) eliminates the term in y

4x - 4y = - 20 → (3)

Add (1) and (3) term by term to eliminate y, that is

7x + 0 = - 7

7x = - 7 ( divide both sides by 7 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (1)

3(- 1) + 4y = 13

- 3 + 4y = 13 ( add 3 to both sides )

4y = 16 ( divide both sides by 4 )

y = 4

solution is (- 1, 4 )

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Answers

Answer:

4 more students

Step-by-step explanation:

10% of 40 is 4, since the membership went up by 10% it is clear that there are 4 more students that joined the chess club.

Answer:

10/100*40

=4 more students joined the club

Step-by-step explanation:

Can someone help me find the solution?

Answers

Answer:

Solution: y=2

IM GIVING BRAINLIEST PLEASE HELP
An elevator in a tall building is at a point 180 feet above the ground. The elevator descends at a rate of 12 feet per second. Write an equation that represents how far above the ground the elevator is after descending for x seconds.

Answers

y=-12x+180
I think this is the equation

Answer:

If you are looking for the answer it is.... y=-12x+180

Step-by-step explanation:

what is
5/8 dived by 6

Answers

Answer:

3.75

Step-by-step explanation:

Answer:

5/6 divided by 6 = 5/48 or 0.1041666666 repeating

What is F.O.I.L??? (Math question)

Answers

First
Outer
Inner
Last

Answer:

F.O.I.L is a method of solving quadratic equations.

P.S, i love the pics.

Plz mark brainliest!!

Utop you answer questions 8:10. Each unit on the graph represents 0.75 miles Round
answers to the nearest font when necessary
GROCERY STORE
JIM'S HOUSE
20
19
18
17
10
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
BANK
MALL
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
6. How many miles is Jim's house from the
mali?
7. Is Jim's house closer to the mall or the
bank? How many miles closer is it?
8. Jim is at his house, and his car has 25
miles until it runs out of goo Would Jim bo
able to make it from his house to the grocery
store and back without stopping for gos?
Explain
9. Jim loft his house and drove to the bank
On his way back home, Jim's wife called
when he was exactly half way home. How
many miles had Jim traveled when his wife
called?
10. Jim is hoping that a park will be built within 5 miles of his house. If a park is built at the
coordinates (12, 10), does that meet Jim's criteria? Explain.
Moreovering the Middle LLC, 2016
10
PRB

Answers

Answer:

6. 11.3 Miles

7. 1.5 Miles

8. No he would need 26 Miles , he only has 25 Miles.

9. 11.25 Miles

10. Not really it slightly goes over by about .80

Answer:

6: 15miles

7: 17miles

8: No, because just by going to the grocery is 13miles (times2) that's 26

9: 11.2 (not sure)

10: No, he said 5miles, the park is 5.8miles away from his house. (you don't have to but rounded is 6miles so he cant reach the park)

Step-by-step explanation:

Use the formula of a²+b²=c² (Pythagorean theorem)

use the quotient rule to find the derrivatives of 3/x^2

With full process ​

Answers

Answer:

[tex]\displaystyle \frac{d}{dx} \Big [ \frac{3}{x^2} \Big ]=-\frac{6}{x^3}[/tex]

Step-by-step explanation:

We can use either the Power Rule or the Quotient Rule to find the derivative of 3/x².

Power Rule: [tex]\displaystyle \frac{d}{dx}[ x^n] = nx^n^-^1[/tex]  

Rewrite [tex]\displaystyle \frac{3}{x^2}[/tex] as [tex]\displaystyle 3\cdot \frac{1}{x^2}[/tex] which is equivalent to [tex]3\cdot x^-^2[/tex].

Now we can apply the power rule to 3x⁻². Subtract 1 from the exponent and multiply the coefficient by -2.

3(-2)x⁻³ = -6x⁻³

This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex].

Quotient Rule: [tex]\displaystyle \frac{d}{dx} \Big [ \frac{f(x)}{g(x)} \Big ]=\frac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]

Substituting 3 for f(x) and x² for g(x), we get:

[tex]\displaystyle \frac{(x^2)(0)-(3)(2x)}{(x^2)^2}[/tex]

Simplify.

[tex]\displaystyle \frac{-6x}{x^4}[/tex]

Using exponent rules, we can rewrite this as:

[tex]-6x^1^-^4 = -6x^-^3[/tex]

This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex], which is the same as what we got using the product rule.

Answer:

[tex]\displaystyle \frac{d}{d x}\left[\frac{3}{x^2}\right] = -\frac{6}{x^{3}}[/tex].

Step-by-step explanation:

Let [tex]f(x)[/tex] and [tex]g(x)[/tex] denote two functions of [tex]x[/tex]. Assume that [tex]g(x) \ne 0[/tex]. The quotient rule states that:

[tex]\displaystyle \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right] = \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2}[/tex].

In this question:

The numerator of the fraction is [tex]f(x) = 3[/tex] (a constant function.)The denominator of the fraction is [tex]g(x) = x^{2}[/tex].

Find [tex]{f}^{\prime}(x)[/tex] and [tex]{g}^{\prime}(x)[/tex].

Notice that the value of [tex]f(x)[/tex] is constantly [tex]3[/tex] regardless of the value of [tex]x[/tex]. By the constant rule, [tex]{f}^{\prime}(x) = 0[/tex].

For [tex]{g}^{\prime}(x)[/tex], consider the power rule:

if [tex]m[/tex] represents a rational number (such as [tex]2[/tex],) then by the power rule, [tex]\displaystyle \frac{d}{d x}\left[{x}^{m}\right] = m\, {x}^{m-1}[/tex].

Apply this rule to find [tex]{g}^{\prime}(x)[/tex].

[tex]\begin{aligned}{g}^{\prime}(x) &= \frac{d}{d x} \left[x^{2}\right] \\ &= 2\, x^{2 - 1} \\ &= 2\, x\end{aligned}[/tex].

Substitute [tex]f(x) = 3[/tex], [tex]{f}^{\prime}(x) = 0[/tex], [tex]g(x) = x^{2}[/tex], and [tex]{g}^{\prime}(x) = 2\, x[/tex] into the quotient rule expression to find [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right][/tex]:

[tex]\begin{aligned}&\; \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] \quad \genfrac{}{}{0em}{}{\leftarrow f(x) = 3}{\leftarrow g(x) = {x}^{2}} \\ =&\; \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right]\\ =&\; \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2} \\ =& \; \frac{0 \, x^2 - 3\, (2\, x)}{\left({x}^{2}\right)} \\ =&\; -\frac{6}{x^{3}}\end{aligned}[/tex].

Therefore, [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] = -\frac{6}{x^{3}}[/tex].

Write z = 5 + 2i as an ordered pair in an Argand diagram.

Answers

Answer:no hablo espanol

Step-by-step explanation:

Pls help me ASAP!

Evaluate the following

a: |8| - 9 =
b: |8 - 9| =

Answers

Answer:

a = -1

b= 1

Step-by-step explanation:

8's absolute value is 8, so 8 - 9 is -1 but 8-9 = -1 and since the answer is in the absolute value bars, -1's absolute value is 1, so the answer will be 1

but in a, only 8 is in the absolute value bars, not the complete answer

Given: f(x)=x-7and h(x) = 2x+3
Write the rule for f(h(x))
f(h(x))= 2x-7
f (h(x))= 2x-4
f(h(x))= 3x-4
f(h(x))= 3x -7

Answers

I have no idea math is so freaking hard x

A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed

Answers

Answer:

66 pounds of tomatoes

Step-by-step explanation:

A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed

From the above question:

5 people = 3 pounds of tomatoes

110 people = x pounds of tomatoes

Cross Multiply

5 people × x pounds = 110 people × 3 pounds

x pounds = 110 people × 3 pounds/5 people

x pounds = 66 pounds of tomatoes

Round to two decimal points

Answers

answer is 10.82
use pythagorean theorem

The volume of a cylinder is 72 cm. If the radius is 3 cm, what is the height
of the cylinder?


A. 12 cm
B. 8 cm
C. 24 cm
D. 4 cm

Answers

C 24
72/3 =24
Explanation 72/3 = 24
B:8cm.
72 multiplied by 3.14= 3.14 times 9
226.08=3.14 times 9
226.08=28.26

HELP HELP PLEASE!! SUPER CONFUSED!

Answers

Answer:

A. 0

B. 7

C. 3

D. 9

E.9

F.3

G.1

H.5

J.7

K.5

L.1

It's just a lot of reversing operations and seeing what fits, but if you have more you want to try, just make sure you remember borrowing and carrying numbers because they make a big difference.

please help me i don’t understand

Answers

9514 1404 393

Answer:

  2. chord theorem; t = 10.5

  3. chord theorem; x = 5

Step-by-step explanation:

For both of these problems, the relevant theorem is the "intersecting chord theorem", also referred to as the "chord theorem." It tells you the product of the lengths of the parts of one chord is equal to the product of the lengths of the parts of the other chord.

2. 20t = 10·21

  t = 210/20 . . . . divide by 20

  t = 10.5 . . . . . . . simplify

__

3. 10(x +4) = 15(x +1)

  10x +40 = 15x +15 . . . . . eliminate parentheses

  25 = 5x . . . . . . . . . . . . . subtract 10x+15

  5 = x . . . . . . . divide by 5

Arlinda is participating in her school reading
challenge. She reads 40 books in 6 months. If 26
of the books are fiction, then what percent of the
books that she read are non-fiction?

Answers

Answer:

14

Step-by-step explanation:

40-26=14 so therefore 14% of the books are non-fiction

Can somebody plz help solve for each question what x =?(only if u know how to do it) thanks :)

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD!!

Answers

Answer:

7)x=11

8)x=16

9)n=12

10)m=13

11)n=8

12)m=3

Step-by-step explanation:

Answer:

7= 11. 8=16. 9=12. 10=13 11=8. 12=3

Step-by-step explanation:

7= 9+2=11

8=12+4=16

9=9+3=12

10=8+5=14

11=7+1=8

12=3+0=3

Pls help me I don't understand this..... I will mark you as brainliest... the first one who answers

Answers

Answer:

it is the first answer because it want you to roll 5 first try

(1 + 2/3)*(1+2/5)*(1+2/7)*(1+2/9)

Answers

Answer:  11/3 or 3.6 or 3 2/3

Step-by-step explanation:

All you have to do is simplify the expression

Sonia has $40 in her lunch account and pays $2 each day to
eat lunch.
How long till her account has no money left?

Answers

Answer:

20 days

Step-by-step explanation:

Because to find the number of days that Sonia will have you have to divide total money ($40) by money each day ($2). And $40 divided by $2 is 20, so 20 days is the answer.

Have a most wonderfull day, and I hope you likeee the answer....so yep.

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