algebra

Daisy is building a rectangular pen for her chickens along one wall in her back yard. She needs to build a fence along the remaining three sides of the pen. She represents this situation with the inequality w+2ℓ≤125.

Which explanation correctly interprets this inequality?

Daisy has one side of the rectangular pen along the wall, so she needs two widths, w, and one length, 2ℓ. She has at most 125 feet of fencing materials to build the fence for her pen.

Daisy has one side of the rectangular pen along the wall, so she needs two widths, w, and one length, 2ℓ. She has at least 125 feet of fencing materials to build the fence for her pen.

Daisy has one side of the rectangular pen along the wall, so she needs one width, w, and two lengths, 2ℓ. She has at most 125 feet of fencing materials to build the fence for her pen***.

Daisy has one side of the rectangular pen along the wall, so she needs one width, w, and two lengths, 2ℓ. She has at least 125 feet of fencing materials to build the fence for her pen.

Taylor has $150 to spend on small canvases and paints for her art classes. The art supply store sells a four-pack of small canvases for $4.00 and paints for $6.25,

including tax.

Which inequality represents this situation where c
is the number of four-packs of canvases and p

is the number of paints Taylor purchases?
4c+6.25p≤150**
6.25c+4p≥150
4c+6.25≥150
6.25c+4p≤150

Adam is creating an animated short film, and he needs 24 frames per second of film. He already has at least 250 frames.
Which inequality represents this situation where f is the number of frames and s is the number of seconds of film?
f≥24s+250**
s≥24f−250
s≥24f+250
f≥24s−250

  1. 👍
  2. 👎
  3. 👁
  1. Daisy has one side of the rectangular pen along the wall, so she needs one width, w, and two lengths, 2ℓ. She has at most 125 feet of fencing materials to build the fence for her pen***.
    YES
    ===============================================
    4c+6.25p≤150**
    YES
    ===============================================

    1 second/24 frames
    so if he started with 0 frames
    time s = (1/24) (additional f)
    but he already had at least 250 frames
    so
    time s = (1/24)( f-250) or maybe less time if he had more than 250
    24 s </= f - 250
    or
    f >/= 24 s + 250 agree YES

    1. 👍
    2. 👎
    👤
    Damon
  2. thank you Damon.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    Joe wants to fence a rectangular pen for his goats the length of the pen should be at least 60 ft. and the distance around should be no more than 260 ft. which system of inequalities and graph represent the possible dimensions of

  2. Algebra word problem

    A family is building a rectangular patio in their backyard. The rectangular yard has dimensions of (8x+2) by (6x + 3) and they are planning the patio to be (x + 5) by (3x + 1). What is the area of the remaining yard after the

  3. math

    a rectangular pen is to be constructed alongside a barn using 120 feet of fencing. the barn will be used for one side of the pen. What should the dimensions of the pen be to maximize its area. ***Can not use calculus. This is a

  4. Math

    Clark's Country Pet Resort is fencing a new play area for dogs. The manager has purchased 186 yd of fence to enclose a rectangular pen. The area of the pen must be 2156 yds^2. What are the dimensions of the​ pen? Length is how

  1. Math

    A rectangular dog pen is to be constructed using a barn wall as one side and 60 meters of fencing for the other three sides. Find the dimensions of the pen that maximize the pen's area.

  2. math

    a farmer has enough fencing to build 40 feet of fence. He wishes to build a rectangular pen nest to his barn wall forming one side of the pen. What dimension should he make the pen so as to enclose the greatest possibility area?

  3. algebra

    Marcus has 72 feet of fencing. He wants to build a rectangular pen with the largest possible area. What should the dimensions of the rectangular pen be to maximize the area?

  4. Algebra

    George built a rectangular pen for his rabbit such that the length is 1 ft more than four times the width. If the perimeter is 292 ft, what are the dimensions of the pen?

  1. Algebra 1

    1. A family is building a circular fountain in the backyard. The yard is rectangular and measures 14x by 19x and the fountain is going to be circular with a radius of 6x. Once the fountain is built, what will be the area of the

  2. Pre-Algebra

    While visiting a farm, you notice that there are only chickens and rabbits in the farmyard. You can't help but wonder how many of each animal there is on the yard, but when you ask Farmer Fred he refuses to give you a direct

  3. math

    A farmer has 60m of fencing to make a rectangular pen for his goats. Derive an expression in simplest form, for the length of the pen

  4. math

    a. A rectangular pen is built with one side against a barn. 1200 m of fencing are used for the other three sides of the pen. What dimensions maximize the area of the​ pen? b. A rancher plans to make four identical and

You can view more similar questions or ask a new question.