Regina has started making baby quilts to sell at a craft fair. the inside of each quilt will measure four feet by five feet and will be surrounded by a border of uniform width. she wants each quilt to have a total area (including the border) of 30 square feet. find the equivalent equations to find the width of the border given that the border is x. select all that apply.

1: (4+x)(5+x)=30
2: (4+2x)(5+2x)=30
3: 4x^2 + 20 = 30
4: 4x^2 +18x+20=30
5: (5+x)(4+x)=30
6: (x+4)(x+5)=30

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.

The given diagram shows the parts of a right triangle with an altitude to the hypotenuse. using the two given  measures, find the other four.

If you invest 1,500 today in a bank that gives you a 5 percent annual interest rate, which of these items can you buy in two years? a. electronics worth $1,650 b.fitness equipment worth $1,700 c.a holiday package worth $2,000