The last problem on Julie's homework asked her to find the smallest value of x such that V6x could be simplified further. The directions said that "x" must be a positive integér.
Julie thought the answer was x = 6.Julie is wrong; there is a smaller value of x that would allow you to
simplify the V6x further. Tell Julie what the smallest value of x should have been. Write your answer
on the line below.

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

Me, prove a quadrilateral with vertices g(1,-1), h(5,1), i(4,3) and j(0,1) is a rectangle using the parallelogram method and a rectangle method.

Acollection of coins has value of 64 cents. there are two more nickels than dimes and three times as many pennies as dimes in this collection. how many of each kind of coin are in the collection?