Sophia's goal is to consume 1800 calories per day. Last week, her daily calorie intake varied by 250 calories at most. Write and solve an inequality to find the range of Sophia's calorie intake

What is the smallest integer n such that n\sqrt{2} is greater than 20

Find the perimeter of the triangle with vertices  d(3, 4),  e(8, 7), and  f(5, 9). do not round before calculating the perimeter. after calculating the perimeter, round your answer to the nearest tenth.  

Use the distributive property -7(-2x+u-2)