John, rick, and molli paint a room together.
a. pick a reasonable amount of time in which the three friends can paint the
room together. also pick a reasonable amount of time in which john can
paint the room alone and a reasonable amount of time in which rick can
paint the room alone.
b. what is the hourly rate for john, rick, and molli (when working
together)? use rooms per hour as the unit for your rates.
c. what is the hourly rate for john? what is the hourly rate for rick? refer
to the amount of time you determined in which john and rick can paint
the room alone. use rooms per hour as the unit for your rates.
d. write an equation comparing the group rate to the sum of the individual
rates. how should the group rate and the sum of the individual parts
compare? use parts (b) and (c) to you write the equation.
e. what is the least common denominator for the equation you found in part (c)?
f. solve the equation and determine how long it will take molli to paint the
room alone.

Which situation can be modeled by the inequality 5 + 10w ≥ 45? a. you start with $5 and save $10 a week until you have at least $45. b.you start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards. c.you start with 5 water bottles and purchases cases of 10 water bottles each until you have a total of 45 water bottles. d.you spend $5 plus $10 per week until you have less than $45.

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)

Factor the polynomial. b^2 + 4b + 4