Line segment PQ, with endpoints graphed on a coordinate grid at P(2,-2) and Q(5,-2) is translated four units to the left and two units up. What length of the transformed line segment?

Oscar and julie ashton are celebrating their 15th anniversary by having a reception hall. they have budgeted $4,500 for their reception. if the reception hall charges a $90 cleanup fee plus & 36 per person, find the greatest number of people that they may invite and still stay within their budget.

Write an inequality for this description. - one fourth of the opposite of the difference of five and a number is less than twenty.

Serena is making an experiment. for that, she needs 20 grams of a 52% solution of salt. she has two large bottles of salt water: one with 40% and the other with 70% of salt in them. how much of each must she use to make the solution she needs? i am in need of