1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stira [4]
2 years ago
9

A farmer is enclosing a rectangular area for a pigpen. He wants the length of the pen to be 20 ft longer than the width. The far

mer can use no more than 100 ft of fencing. What is the pen’s greatest possible length?
Let w represent the width of the pen. What expression represents the length?

Enter your response in the box.

l=
Mathematics
2 answers:
-Dominant- [34]2 years ago
7 0

Answer:

a) The greatest possible length is 35.

b) l = w + 20

Step-by-step explanation:

The farmer wants the length of the pen to be 20ft longer than the width. If we use w to represent the width. Then the length would be w + 20

The problem first ask us to find the greatest possible length considering the fencing will be no more than 100ft.

We know that the perimeter of a rectangular area is: 2l + 2w (where l is the length and w the width)

Therefore for the fencing we would need 2l + 2w ≤ 100.

We are going to substitute the values for l and w that we mentioned at the beginning and solve for w:

2l + 2w ≤ 100

2(w+20) +2w ≤ 100

2w + 40 +2w ≤ 100

4w ≤ 100 - 40

4w ≤60

w ≤ 15

Therefore the width has to be less or equal to 15.

Since the length is 20 ft longer than the width, the greatest possible length happens when the width has its greatest value.

So when w = 15, the length is 35 and this is the greatest possible length of it.

b) The expression that represents the length (as we said before) is w + 20

-Dominant- [34]2 years ago
3 0
2l+2w=100
2(w+20)+2w=100
2w+40+2w=100
4w+40=100
4w=60
w=15
l=w+20
l=15+20
Greatest length is 35ft.
You might be interested in
Which of the following theorems verifies that ABC ~ STU?
Lunna [17]

Answer:

B. AA

Step-by-step explanation:

The diagram given shows that two angles in ∆ABC are congruent to two corresponding angles in ∆STU.

Invariably, the third unknown angle of both triangles would also be equal going by the third angle theorem.

Thus, based on the AA Similarity Theorem which says that two triangles are similar to each other if two corresponding angles of one is congruent to two angles in the other, ∆ABC ~ ∆STU.

4 0
2 years ago
Will mark brainliest to whoever answers correctly first!!!
IgorLugansk [536]
To find the volume, you do area multiplied by thickness( or height)
In this example, you do (1/2*9*6)*10 which is 270
hope I helped ;)
7 0
2 years ago
Mr. Evens Is paid $9.20 per hour for the first 40 hours he works in a week he is paid 1.5 times that rate for each hour after th
spin [16.1K]
I don't agree with his statement. The first part says that he was paid $9.20 for the first 40 hours so we multiply them (9.20 x 40) to get 368. Then it says that he was paid 1.5 times that rate for every hour after that. The rate is "$9.20 per hour" so you find 1.5 times $9.20. You multiply $9.20 by 1.5 to get $13.80 per hour. Now you have to find how much money he got after the initial 40 hours. It says he worked 42.25 hours, and we already figured out how much money he got the first 40 hours ($368). So for the remaining 2.25 hours, Mr.Evens is paid $13.80 an hour. So we multiply 2.25 by $13.80 to get $31.05. To find out the total amount of money accumulated, we add. $368 + $31.05 is $399.05 which means that Mr.Evens is not correct. Hope this helped :]
7 0
2 years ago
Read 2 more answers
Is it multiplication or division?...How much ch ice cream does each cone hold of four cones hold 1/2 pound
zubka84 [21]

2 ounces

using the conversion

1 pound = 16 ounces ⇒ \frac{1}{2} = 8 ounces

Divide 8 by 4 to calculate amount for each cone

amount = 8 ÷ 4 = 2 ounces


4 0
2 years ago
Sam earns $912 each week working his full time job. His employer has a 13.6% tax deduction on all monies earned each week. Calcu
Sveta_85 [38]

Sam paid $ 124.032 as tax deduction each week.

<h3>What is an Equation ?</h3>

An equation is a mathematical statement formed when an algebraic expression is equated by an equal sign by a constant or algebraic expression.

It is given that

weekly earnings of Sam is $912

Tax deduction is 13.6 %

Let the amount of Tax deduction is represented by $x

Then the equation formed is

x = 13.6 % 912

x = 13.6 *912 /100

x = $ 124.032

Therefore Sam paid $ 124.032 as tax deduction each week.

To know more about Equation

brainly.com/question/10413253

#SPJ1

7 0
2 years ago
Other questions:
  • I’ll do all of your math homework and get u an A.
    11·1 answer
  • Use Euclid's division algorithm to find the HCF of 441, 567, 693
    13·1 answer
  • evaluate the difference quotient for the given function. Simplify your answer. f(x)=1/x , (f(x) - f(a))/x-a
    10·2 answers
  • Use multiplication to find 2 equivalent fraction for 3/4 and 4/5
    9·1 answer
  • Find all solutions of <br><br> sin(x) = cos(x)<br><br> in the interval [-π, π)
    7·1 answer
  • Given that 1 kilogram = 2.2 pounds, which statements are true? Two kilograms is equal to 4 pounds. Three kilograms is greater th
    9·2 answers
  • For what value of do the expressions 2+3 and 3−6 have the same value?<br><br> <img src="https://tex.z-dn.net/?f=x" id="TexFormul
    13·1 answer
  • What is the volume of a cube with edge of 3cm
    9·2 answers
  • Zach filled 581 one-liter bottles with apple cider. He distributed the bottles to 4 stores. Each store received the same number
    12·1 answer
  • Please help me and explain how you got it-
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!