algebra

The rack of weight plated at the fitness center has a total of 148 plates weighing 2.5,5,and 10 pounds each. The total weight is 500 pounds. There are ten times as many 5 pound plates as 10 pound plates. Set up a matrix equations and then solve it to determine the number of each size of plate.

Thank you!!!

  1. 👍 0
  2. 👎 0
  3. 👁 125
  1. if there are x,y,z of each, in order, then

    x+y+z = 148
    2.5x + 5y + 10z = 500
    y = 10z

    Now you have your coefficients, so plug them into the matrix and find that

    (x,y,z) = (104,40,4)

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    you have a rack that can fit 30 cds you can fit 7 more cds on the rack before the rack is fulll which equation models this situation appropiratly where x represents the number of cds?

  2. Physics

    Two artifacts in a museum display are hung from vertical walls by very light wires. Wire T1 is horizontal from the left wall and goes to a center weight of 177N and wire T2 is at a 53 degree angle with the right wall heading from

  3. Science

    What is most likely to occur when jagged edges of rock plates grind past each other? A. Subduction* B. Volcanic C. an earthquake D. A mountain chain Where do earthquakes normally occur? A. at the edges of earths bodies of water B.

  4. earth

    The weight (V) of an object on Venus varies directly as its weight (E) on Earth. A person weighing 120 lb on Earth would weigh 106 lb on Venus. How much would a person weighing 180 lb on Earth weigh on Venus?

  1. marine science

    Lesson 3: wrapping up unit 1 Marine science A unit 1: about the earth. 1. The history of Sir Isaac Newton study of gravity does which of the following. a .illustrates how a theory becomes law b.provides an example of a theory that

  2. physics

    Explain why a minibus is more likely to topple over when the roof rack is heavily loaded than when the roof rack is empty.

  3. Science plssss help

    ok so What is most likely to occur when jagged edges of rock plates grind past each other? a mountain chain earthquake ! ! ! mine volcanic formation subduction Which land features are most likely found near a convergent plate

  4. math

    ⦁ Three boxes weighing 128 pounds each and one box weighing 254 pounds were loaded onto the back of an empty truck. A crate of apples was then loaded onto the same truck. If the total weight loaded onto the truck was 2,000

  1. ALGEBRA

    Many states offer personalized license plates. California, for example, allows personalized plates with seven spaces for numerals or letters, or one of the following four symbols. What is the total number of license plates

  2. statistics

    Potatoes - Samples: Assume the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.3 ounces. He bags his potatoes in groups of 6. You buy a bag and the total weight is

  3. Physics

    A weight of 50.0 N is hung from the center of a stretched horizontal wire 10.0 meters long. It causes the wire to say 1.00m at its center. What is the force exerted by each half of the wire in supporting the weight?

  4. Physics

    A uniform bar length of 2.0m and weight 1000 N has its center of gravity at its center. The bar is pivoted 0.5m from the right, and supports a weight of 200N on the opposite end (left end). What is the weight needed at right end

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