Algebra

The town is organizing a Fourth of July parade. There will be two sizes of floats in the parade (30 ft and 15 ft). A space of 10 ft will be left after each float.

A. The parade must be at least 150 ft long, but less than 200 ft long. What combinations of large and small floats are possible?

B. Large floats cost $600 to operate. The town has a budget of $2500 to operate the floats. How does this change your answer to part A? What combinations of large and small floats are possible?

I'm not getting this, especially part A. I need a system of inequalities, but I can't figure out how to set it up.

  1. 👍 0
  2. 👎 0
  3. 👁 275
  1. If there are x large and y small floats, then

    x >= 1
    y >= 1
    30x+15y+10(x+y-1) >= 150

    That is,
    160 <= 40x+25y >= 200
    or
    32 <= 8x+5y <= 40

    Work similarly for part B.

    1. 👍 0
    2. 👎 0
  2. But we are doing systems of linear inequalities, so I'd want at least two different inequalities. Also, I don't understand how you put x,y, and -1 into the parentheses. Also, would this work?

    30x + 15y >= 150

    x + y - 10 <= 200

    1. 👍 0
    2. 👎 0
  3. you have to put 10' of space between floats, so if there are 12 floats, the length includes 11 "in-between" spaces of 10' each.

    YES! Good catch. I forgot to account for the maximum length of 200'

    But you still have to include the spaces in your inequalities.

    1. 👍 0
    2. 👎 0
  4. How can I include those spaces?

    1. 👍 0
    2. 👎 0
  5. did you bother reading what I wrote?

    multiply the number of spaces (x+y-1) by 10!

    1. 👍 0
    2. 👎 0
  6. What would the system of inequalities be on part a. On that same question

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Trigonometry

    The populations, P, of six towns with time t in years are given by: I) P=1000(1.08)^t II) P= 600(1.12)^t III) P = 2500(0.9)^t IV) P=1200(1.185)^t V) P=800(0.78)^t VI) P=2000(0.99)^t a. Which towns are growing in size? Which are

    asked by Lee on January 15, 2013
  2. Physics

    Town A lies 20 km north of town B. Town C lies 13 km west of town A. A small plane flies directly from town B to town C. What is the displacement of the plane. Please explain how you got the answer

    asked by ken on September 13, 2017
  3. MATH

    Carter left Town A at noon, driving toward Town B at an average speed of 50 mph. At 12:30 P.M., Max headed from Town B to Town A along the same road. At 3 P.M., they met each other along the way, and Carter realized that he had

    asked by HELP THIS IS URGENT on January 15, 2015
  4. physics help me plz

    A man at the back of a crowd watches a parade by holding a plane mirror just above his head and the parade passes 6m behind his head and the mirror is 0.25m in front of the man. How far does the image appear to be from the man...

    asked by ... on January 2, 2017
  1. statistics

    For classes of 273 students, find the mean and standard deviation for the number born on the 4th of July, Ignore leap years. For a class or 273 students, would two be an unusually high number who were born on the 4th of July? I

    asked by slomomo on February 27, 2015
  2. math help

    At the first tri-city meeting, there are 8 people from town A, 7 people from town B, and 5 people from town C. If a council consisting of 5 people is randomly selected, find the probability that 3 are from town A and 2 are from

    asked by Janet on December 5, 2009
  3. math

    Town P is on bearing 315 degree from town Q. While town R is south of town P and west of town Q. If town R is 60km away from Q, how fara is R from P?

    asked by Anonymous on November 30, 2016
  4. algebra

    At the first tri-city meeting, there are 8 people from town A, 7 people from town B, and 5 people from town C. If a council consisting of 5 people is randomly selected, find the probability that 3 are from town A and 2 are from

    asked by Kelley on May 9, 2010
  1. math

    Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches. √3 2√3 √5 (a) Without using your calculator, approximate the decimal equivalent of each number to the nearest

    asked by Bella on May 16, 2017
  2. Statistics

    Use the following dates to compute the ALOS and median LOS and range. The discharge date is July 2nd (non-leap year). Round the ALOS to one decimal place. Admission Date LOS 1-2 January = 29; February = 28; March = 31; April = 30;

    asked by Anonymous 11/9/13 on November 9, 2013
  3. business math

    Assume 450,000 people line up on the streets to see the Macy's Thanksgiving Parade in 2010. If attendance is expected to increase 30%, what will be the number of people lined up on the street to see the 2011 parade?

    asked by jahnesha on July 8, 2014
  4. MATH (DUN DUN DUN!!!!)

    Carter left Town A at noon, driving toward Town B at an average speed of 50 mph. At 12:30 P.M., Max headed from Town B to Town A along the same road. At 3 P.M., they met each other along the way, and Carter realized that he had

    asked by dannyboi on August 1, 2018

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