2.One hundred toys are to be given out to children. A ball costs $10, a dollcosts $15, and a car costs $20. A total of $1,200 was spent.a. Translate the problem into 2 linear equations in 3 variables.Find all solutions in parametric form.b.c. Give the solution that has the largest number of dolls.

let x= numbers of balls y=numbers of dolls z=numbers of cars a) x+y+z=100 2x+3y+4z=240 b)…

Answered: 2. One hundred toys are to be given out…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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3. A rancher needs to build a temporary holding pen out of 150 feet of fencing. For once side of the pen he will use an existing fence line, so his 150 feet only need to cover 3 sides of the rectangle. (see picture) Temporary Pen Existing fence a) Create an equation relating the width and length of the holding pen to his 150 feet of fencing. b) If the width of the holding pen (x) is 15 ft, what is the length? c) If the width of the holding pen (x) is 15 ft, what is the area?
2. A cowboy is enclosing the area next to his barn, so he only needs to fence 3 sides of his new horse corral. He has 30m of fencing materials and wants to have an area of 100m2. What are the dimensions of his corral? Solve by completing the square. Answer step-by-steps.
2. Complete the square to rewrite the equation into vertex form. y = -2x2 + 16x 25
The United States Postal Service ships a package under large-package rates if the sum of the Tength and the girth of the package is greater than 84 inches and less than or equal to 108 inches. The "length" of the package is considered to be the length of its longest side, and the "girth" of the package is the distance around the package perpendicular to its length. Fran wants to ship packages under the USPS large-package rates. Her package is a rectangular solid (see picture) whose length is 40 inches. What is the largest volume that her package can have?
Match the words or phrases with their definitions. a. a formula for determining the roots of an equation of the form ax? + bx +c = 0, a + 0 1. root of an equation 2. quadratic equation b. a process for expressing y = ax" + bx +c in the form y = a(x-h)? + k - 3. completing the square C. an equation in the form ax + bx +c = 0, where a,b, and c are real numbers and a + 0 4. quadratic formula d. the value of the variable that makes an equation true Without graphing or using any algebraic methods, determine whether or not there is a solution to the following: 3x+ y = 2 бх — 2у 3D 3

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